id large_stringlengths 9 16 | title large_stringlengths 1 382 | abstract large_stringlengths 3 6.09k | publish_date date32 | update_date date32 | categories large listlengths 1 13 | authors large_stringlengths 3 62.8k |
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hep-th/9309096 | Quantum Riemann surfaces, 2D gravity and the geometrical origin of
minimal models | Based on a recent paper by Takhtajan, we propose a formulation of 2D quantum
gravity whose basic object is the Liouville action on the Riemann sphere
$\Sigma_{0,m+n}$ with both parabolic and elliptic points. The identification of
the classical limit of the conformal Ward identity with the Fuchsian projective
connection... | 1993-09-17 | 2009-10-22 | [
"hep-th"
] | M. Matone |
hep-th/9309098 | Thermal matter and radiation in a gravitational field | We study the one-loop contributions of matter and radiation to the
gravitational polarization tensor at finite temperatures. Using the
analytically continued imaginary-time formalism, the contribution of matter is
explicitly given to next-to-leading ($T^2$) order. We obtain an exact form for
the contribution of radiati... | 1993-09-17 | 2009-10-22 | [
"hep-th"
] | A. P. de Almeida, F. T. Brandt and J. Frenkel |
hep-th/9309094 | Physical States, Factorization and Nonlinear Structures in Two
Dimensional Quantum Gravity | The nonlinear structures in 2D quantum gravity coupled to the $(q+1,q)$
minimal model are studied in the Liouville theory to clarify the factorization
and the physical states. It is confirmed that the dressed primary states
outside the minimal table are identified with the gravitational descendants.
Using the discrete ... | 1993-09-17 | 2009-10-22 | [
"hep-th"
] | Ken-ji Hamada |
hep-th/9309097 | Calabi-Yau Moduli Space, Mirror Manifolds and Spacetime Topology Change
in String Theory | We analyze the moduli spaces of Calabi-Yau threefolds and their associated
conformally invariant nonlinear sigma-models and show that they are described
by an unexpectedly rich geometrical structure. Specifically, the Kahler sector
of the moduli space of such Calabi-Yau conformal theories admits a
decomposition into ad... | 1993-09-17 | 2009-10-22 | [
"hep-th",
"alg-geom",
"math.AG"
] | P.S. Aspinwall, B.R. Greene and D.R. Morrison |
hep-th/9309095 | A Review of $W$ Strings | Recent progress on the physical states and scattering amplitudes of the $W_3$
string is reviewed with particular emphasis on the relation between this string
theory and the Ising model. | 1993-09-17 | 2007-05-23 | [
"hep-th"
] | Peter West |
hep-th/9309093 | Maverick Examples Of Coset Conformal Field Theories | We present coset conformal field theories whose spectrum is not determined by
the identification current method. In these ``maverick'' cosets there is a
larger symmetry identifying primary fields than under the identification
current. We find an A-D-E classification of these mavericks. } | 1993-09-17 | 2015-06-26 | [
"hep-th"
] | David C. Dunbar and Keith G. Joshi |
hep-th/9309089 | On dynamics of cylindrical and spherical relativistic domain walls of
finite thickness | Dynamics of cylindrical and spherical relativistic domain walls is
investigated with the help of a new method based on Taylor expansion of the
scalar field in a vicinity of the core of the wall. Internal oscillatory modes
for the domain walls are found. These modes are non-analytic in the "width" of
the domain wall. Ra... | 1993-09-16 | 2009-10-22 | [
"hep-th"
] | H. Arodz and A.L. Larsen |
hep-th/9309090 | Toroidal Orbifold Models with a Wess-Zumino Term | Closed bosonic string theory on toroidal orbifolds is studied in a Lagrangian
path integral formulation. It is shown that a level one twisted WZW action
whose field value is restricted to Cartan subgroups of simply-laced Lie groups
on a Riemann surface is a natural and nontrivial extension of a first quantized
action o... | 1993-09-16 | 2010-11-01 | [
"hep-th"
] | J.O. Madsen and M. Sakamoto |
hep-th/9309088 | Deformed oscillator algebras for two dimensional quantum superintegrable
systems | Quantum superintegrable systems in two dimensions are obtained from their
classical counterparts, the quantum integrals of motion being obtained from the
corresponding classical integrals by a symmetrization procedure. For each
quantum superintegrable systema deformed oscillator algebra, characterized by a
structure fu... | 1993-09-16 | 2009-10-22 | [
"hep-th"
] | Dennis Bonatsos, C. Daskaloyannis and K. Kokkotas |
hep-th/9309091 | Canonical quantisation of thermal gauge theories | Canonical quantisation gives a new and convenient finite-temperature
perturbation theory in covariant gauges, and solves the problem of the
zero-frequency mode in the temporal gauge. [Talk at Workshop on Thermal Field
Theories and their Applications, Banff, August 1993] | 1993-09-16 | 2007-05-23 | [
"hep-th",
"hep-ph"
] | P V Landshoff |
hep-th/9309087 | Recent Progress in Irrational Conformal Field Theory | In this talk, I will review the foundations of irrational conformal field
theory (ICFT), which includes rational conformal field theory as a small
subspace. Highlights of the review include the Virasoro master equation, the
Ward identities for the correlators of ICFT and solutions of the Ward
identities. In particular,... | 1993-09-16 | 2007-05-23 | [
"hep-th"
] | M.B. Halpern |
hep-th/9309092 | Electron Mass Anomalous Dimension at O(1/N^2_f) in Quantum
Electrodynamics | The critical exponent corresponding to the renormalization of the composite
operator $\bar{\psi}\psi$ is computed in quantum electrodynamics at
$O(1/\Nf^2)$ in arbitrary dimensions and covariant gauge at the non-trivial
zero of the $\beta$-function in the large $\Nf$ expansion and the exponent
corresponding to the anom... | 1993-09-15 | 2009-10-22 | [
"hep-th"
] | J.A. Gracey |
hep-th/9309086 | Chaotic string-capture by black hole | We consider a macroscopic charge-current carrying (cosmic) string in the
background of a Schwarzschild black hole. The string is taken to be circular
and is allowed to oscillate and to propagate in the direction perpendicular to
its plane (that is parallel to the equatorial plane of the black hole).
Nurmerical investig... | 1993-09-15 | 2010-04-06 | [
"hep-th"
] | A.L. Larsen |
hep-th/9309084 | Improved Collective Field Formalism for an Antifield Scheme for Extended
BRST Symmetry | We present a new collective field formalism with two rather than one
collective field to derive the antifield formalism for extended BRST invariant
quantisation. This gives a direct and physical proof of the scheme of Batalin,
Lavrov and Tyutin, derived on algebraic grounds. The importance of the
collective field in th... | 1993-09-15 | 2007-05-23 | [
"hep-th"
] | Frank De Jonghe |
hep-th/9309083 | Infinite Symmetry in the Fractional Quantum Hall Effect | We have generalized recent results of Cappelli, Trugenberger and Zemba on the
integer quantum Hall effect constructing explicitly a ${\cal W}_{1+\infty}$ for
the fractional quantum Hall effect such that the negative modes annihilate the
Laughlin wave functions. This generalization has a nice interpretation in
Jain's co... | 1993-09-15 | 2011-07-19 | [
"hep-th",
"cond-mat"
] | Michael Flohr, Raimund Varnhagen |
hep-th/9309085 | Predictivity and Nonrenormalizability | We consider the problem of removing the divergences in an arbitrary
gauge-field theory (possibly nonrenormalizable). We show that this can be
achieved by performing, order by order in the loop expansion, a redefinition of
some parameters (possibly infinitely many) and a canonical transformation (in
the sense of Batalin... | 1993-09-15 | 2009-10-22 | [
"hep-th"
] | Damiano Anselmi |
hep-th/9309076 | A theory of tensor products for module categories for a vertex operator
algebra, I | This is the first part in a series of papers developing a tensor product
theory for modules for a vertex operator algebra. The goal of this theory is to
construct a ``vertex tensor category'' structure on the category of modules for
a suitable vertex operator algebra. The notion of vertex tensor category is
essentially... | 1993-09-14 | 2008-02-03 | [
"hep-th",
"math.QA"
] | Yi-Zhi Huang and James Lepowsky |
hep-th/9309081 | Hermiticity and the Cohomology Condition in Topological Yang-Mills
Theory | The symmetries of the topological Yang-Mills theory are studied in the
Hamiltonian formalism and the generators of the twisted N=2 superPoincar\'e
algebra are explicitly constructed. Noting that the twisted Lorentz generators
do not generate the Lorentz symmetry of the theory, we relate the two by
extracting from the l... | 1993-09-14 | 2016-09-06 | [
"hep-th"
] | J.-G. Demers |
hep-th/9309079 | Operator product expansion of the energy momentum tensor in 2D conformal
field theories on manifolds with boundary | Starting from the well-known expression for the trace anomaly we derive the
$T\cdot T$ operator product expansion of the energy-momentum tensor in 2D
conformal theories defined in the upper halfplane $without$ making use of the
additional condition of no energy-momentum flux across the boundary. The OPE
turns out to be... | 1993-09-14 | 2009-10-22 | [
"hep-th"
] | H. Dorn and V. Preuss |
hep-th/9309082 | Gauge Theories for Lineal Gravities | Here is summarized the gauge theoretical formulation and quantization of two
popular gravity theories in (1+1)-dimensional time. | 1993-09-14 | 2007-05-23 | [
"hep-th",
"gr-qc"
] | R. Jackiw |
hep-th/9309078 | Background Fields in 2+1 Topological Gravity | The partition function of 2+1 Chern-Simons Witten topological gravity has an
attractive interpretation in terms of the unbroken and broken phases of
gravity. We make this physical interpretation manifest using the background
field method. | 1993-09-14 | 2009-10-22 | [
"hep-th"
] | A. Toon |
hep-th/9309075 | Pair Creation of Dilaton Black Holes | We consider dilaton gravity theories in four spacetime dimensions
parametrised by a constant $a$, which controls the dilaton coupling, and
construct new exact solutions. We first generalise the C-metric of
Einstein-Maxwell theory ($a=0$) to solutions corresponding to oppositely
charged dilaton black holes undergoing un... | 1993-09-14 | 2014-11-18 | [
"hep-th",
"gr-qc"
] | Fay Dowker, Jerome P. Gauntlett, David A. Kastor and Jennie Traschen |
hep-th/9309073 | A Non-Principal Value Prescription for the Temporal Gauge | A non-principal value prescription is used to define the spurious
singularities of Yang-Mills theory in the temporal gauge. Typical one-loop
dimensionally-regularized temporal-gauge integrals in the prescription are
explicitly calculated, and a regularization for the spurious gauge divergences
is introduced. The diverg... | 1993-09-14 | 2009-10-22 | [
"hep-th"
] | Kuo-Cheng Lee and Su-Long Nyeo |
hep-th/9309080 | A Noncommutative Note on the Antibracket Formalism | We introduce a noncommutative calculus on the odd-symplectic superspace
$\scri$ of fields and antifields. To this end we have to extend $\scri$ to
$\exscri$ by including an extra anticommuting field $\eta$. As a consequence we
show that the commutator induced on $\exnice\times T^\star(\exnice)$ is
proportional to the a... | 1993-09-14 | 2007-05-23 | [
"hep-th"
] | F. Vanderseypen |
hep-th/9309077 | Another Look at Bell's Inequalities and Quantum Mechanics | Feynman's path integrals provide a hidden variable description of quantum
mechanics (and quantum field theories). The expectation values defined through
path integrals obey Bell's inequalities in Euclidean time, but not in Minkowski
time. This observation allows us to pinpoint the origin of violation of Bell's
inequali... | 1993-09-14 | 2007-05-23 | [
"hep-th",
"hep-lat"
] | Apoorva Patel |
hep-th/9309074 | New Identities between Unitary Minimal Virasoro Characters | Two sets of identities between unitary minimal Virasoro characters at levels
$m=3,4,5$ are presented and proven. The first identity suggests a connection
between the Ising and tricritical Ising models since the $m=3$ Virasoro
characters are obtained as bilinears of $m=4$ Virasoro characters. The second
identity gives t... | 1993-09-13 | 2011-07-19 | [
"hep-th"
] | Anne Taormina |
hep-th/9309069 | Study of Minimal String Unification in $Z_8$ Orbifold Models | We study the construction of the minimal supersymmetric standard model from
the $Z_8$ orbifold models. We use a target-space duality anomaly cancellation
and a unification of gauge couplings as constraints. It is shown that some
models obtained through a systematical search realize the unification of SU(3)
and SU(2) co... | 1993-09-13 | 2009-10-22 | [
"hep-th"
] | H. Kawabe, T. Kobayashi and N. Ohtsubo |
hep-th/9309071 | New Conformal Models with $c<2/5$ | The zoo of two-dimensional conformal models has been supplemented by a series
of nonunitary conformal models obtained by cosetting minimal models. Some of
them coincide with minimal models, some do not have even Kac spectrum of
conformal dimensions. | 1993-09-13 | 2009-10-22 | [
"hep-th"
] | M. Yu. Lashkevich |
hep-th/9309070 | On Diff(S^1) Covariantization Of Pseudodifferential Operator | A study of diff($S^1$) covariant properties of pseudodifferential operator of
integer degree is presented. First, it is shown that the action of diff($S^1$)
defines a hamiltonian flow defined by the second Gelfand-Dickey bracket if and
only if the pseudodifferential operator transforms covariantly. Secondly, the
covari... | 1993-09-13 | 2009-10-22 | [
"hep-th",
"math.QA"
] | Wen-Jui Huang |
hep-th/9309072 | On Coherent States and q-Deformed Algebras | We review some aspects of the relation between ordinary coherent states and
q-deformed generalized coherent states with some of the simplest cases of
quantum Lie algebras. In particular, new properties of (q-)coherent states are
utilized to provide a path integral formalism allowing to study a modified form
of q-classi... | 1993-09-13 | 2016-11-03 | [
"hep-th"
] | Demosthenes Ellinas |
hep-th/9309068 | The Kosterlitz-Thouless Phenomenon on a Fluid Random Surface | The problem of a periodic scalar field on a two-dimensional dynamical random
lattice is studied with the inclusion of vortices in the action. Using a random
matrix formulation, in the continuum limit for genus zero surfaces the
partition function is found exactly, as a function of the chemical potential
for vortices of... | 1993-09-12 | 2011-07-19 | [
"hep-th",
"cond-mat"
] | S.Dalley |
hep-th/9309061 | Supersymmetry and the Atiyah-Singer Index Theorem II: The Scalar
Curvature Factor in the Schr{\" o}dinger Equation | The quantization of the superclassical system used in the proof of the index
theorem results in a factor of $\hbar^{2}R/8 $ in the Hamiltonian. The path
integral expression of the kernel is analyzed up to and including 2-loop order.
The existence of the scalar curvature term is confirmed by comparing the linear
term in... | 1993-09-10 | 2009-10-22 | [
"hep-th"
] | Ali Mostafazadeh |
hep-th/9309066 | Topological Conformal Algebra in $2d$ Gravity Coupled to Minimal Matter | An infinite number of topological conformal algebras with varying central
charges are explicitly shown to be present in $2d$ gravity (treated both in the
conformal gauge and in the light-cone gauge) coupled to minimal matter. The
central charges of the underlying $N=2$ theory in two different gauge choices
are generica... | 1993-09-10 | 2007-05-23 | [
"hep-th"
] | Sudhakar Panda and Shibaji Roy |
hep-th/9309064 | Duality Symmetries and Topology Change in String Theory | Duality symmetries for strings moving in non-trivial spacetime backgrounds
are analysed. It is shown that for backgrounds generated from WZW and coset CFT
models such duality symmetries are exact to all orders in string perturbation
theory. Their implications for string dynamics in non-trivial/singular
spacetimes are d... | 1993-09-10 | 2007-05-23 | [
"hep-th"
] | E. Kiritsis |
hep-th/9309058 | Additional Symmetries of Supersymmetric KP Hierarchies | We investigate the additional symmetries of several supersymmetric KP
hierarchies: the SKP hierarchy of Manin and Radul, the $\hbox{SKP}_2$
hierarchy, and the Jacobian SKP hierarchy. In all three cases we find that the
algebra of symmetries is isomorphic to the algebra of superdifferential
operators, or equivalently $\... | 1993-09-10 | 2009-10-22 | [
"hep-th"
] | Sonia Stanciu |
hep-th/9309065 | Inequivalent Quantizations of Yang-Mills Theory on a Cylinder | Yang-Mills theories on a 1+1 dimensional cylinder are considered. It is shown
that canonical quantization can proceed following different routes, leading to
inequivalent quantizations. The problem of the non-free action of the gauge
group on the configuration space is also discussed. In particular we re-examine
the rel... | 1993-09-10 | 2009-10-22 | [
"hep-th"
] | L.Chandar and E.Ercolessi |
hep-th/9309067 | Strings, Loops, Knots and Gauge Fields | The loop representation of quantum gravity has many formal resemblances to a
background-free string theory. In fact, its origins lie in attempts to treat
the string theory of hadrons as an approximation to QCD, in which the strings
represent flux tubes of the gauge field. A heuristic path-integral approach
indicates a ... | 1993-09-10 | 2007-05-23 | [
"hep-th",
"gr-qc"
] | John C. Baez |
hep-th/9309059 | Supersymmetry and the Atiyah-Singer Index Theorem I: Peierls Brackets,
Green's Functions, and a Supersymmetric Proof of the Index Theorem | The Peierls bracket quantization scheme is applied to the supersymmetric
system corresponding to the twisted spin index theorem. A detailed study of the
quantum system is presented, and the Feynman propagator is exactly computed.
The Green's function methods provide a direct derivation of the index formula.
Note: This ... | 1993-09-10 | 2009-10-22 | [
"hep-th"
] | Ali Mostafazadeh (Dep. of Physics, U. Texas at Austin, Austin, Texas) |
hep-th/9309060 | Topological Aspects of the Non-adiabatic Berry Phase | The topology of the non-adiabatic parameter space bundle is discussed for
evolution of exact cyclic state vectors in Berry's original example of split
angular momentum eigenstates. It turns out that the change in topology occurs
at a critical frequency. The first Chern number that classifies these bundles
is proportion... | 1993-09-10 | 2009-10-22 | [
"hep-th"
] | Ali Mostafazadeh and Arno Bohm |
hep-th/9309057 | Manin pairs and topological field theory | Kazama has described an extension of the N=2 superconformal algebra in which
the operator product of G^- with itself is singular. In this paper, we relate
actions of this chiral algebra to Drinfeld's theory of Manin pairs, or
equivalently, quasi-Lie bialgebras. We also show how to couple topological
conformal field the... | 1993-09-10 | 2009-10-22 | [
"hep-th",
"math.QA"
] | Ezra Getzler (MIT) |
hep-th/9309056 | Chromodynamics and Gravity as Theories on Loop Space | We review some attempts of reformulating both gauge theory and general
relativity in terms of holonomy-dependent loop variables. The emphasis lies on
exhibiting the underlying mathematical structures, which often are not given
due attention in physical applications. An extensive list of references is
included. | 1993-09-10 | 2007-05-23 | [
"hep-th",
"gr-qc"
] | R. Loll |
hep-th/9309063 | Evaluating the Crane-Yetter Invariant | We provide an explicit formula for the invariant of 4-manifolds introduced by
Crane and Yetter (in hep-th 9301062). A consequence of our result is the
existence of a combinatorial formula for the signature of a 4-manifold in terms
of local data from a triangulation. Potential physical applications of our
result exist i... | 1993-09-10 | 2008-02-03 | [
"hep-th",
"math.QA"
] | Louis Crane, Louis H. Kauffman, David N. Yetter |
hep-th/9309062 | Cosmological Solutions in 2D Poincar\'E Gravity | Abtract: The 2D model of gravity with zweibeins $e^{a}$ and the Lorentz
connection one-form $\omega^{a}_{\ b}$ as independent gravitational variables
is considered. The solutions of classical equations of motion which can be
interpreted as cosmological ones are studied. | 1993-09-10 | 2011-04-20 | [
"hep-th"
] | S.N.Solodukhin |
hep-th/9309048 | Particle Mechanics Models with W-symmetries | We introduce a particle mechanics model with Sp($2M$) gauge invariance.
Different partial gauge-fixings by means of sl(2) embeddings on the gauge
algebra lead to reduced models which are invariant under diffeomorphisms and
classical non-linear \W-transformations as the residual gauge symmetries thus
providing a set of ... | 1993-09-09 | 2009-10-22 | [
"hep-th"
] | J.Gomis, J.Herrero, K.Kamimura and J.Roca |
hep-th/9309054 | An Alternative Perturbative Expansion in Quantum Mechanics. Scaling and
cut-off Resummation | An alternative perturbative expansion in quantum mechanics which allows a
full expression of the scaling arbitrariness is introduced. This expansion is
examined in the case of the anharmonic oscillator and is conveniently resummed
using a method which consists in introducing an energy cut-off that is
carefully removed ... | 1993-09-09 | 2015-06-26 | [
"hep-th",
"hep-ph"
] | J.M. Prats |
hep-th/9309051 | Following a "Collapsing" Wavefunction | I study the quantum mechanics of a spin interacting with an ``apparatus''.
Although the evolution of the whole system is unitary, the spin evolution is
not. The system is chosen so that the spin exhibits loss of quantum coherence,
or ``wavefunction collapse'', of the sort usually associated with a quantum
measurement. ... | 1993-09-09 | 2010-04-08 | [
"hep-th",
"gr-qc"
] | Andreas Albrecht |
hep-th/9309053 | Unitary Continuous Representations of Compact Quantum Groups | Generalizing the notion of continuous Hilbert space representations of
compact topological groups we define unitary continuous correpresentations of
$C^*$-completions of compact quantum group Hopf algebras on arbitrary Hilbert
spaces. It is proved that the unitary continuous correpresentations decompose
in finite dimen... | 1993-09-09 | 2008-02-03 | [
"hep-th",
"math.OA",
"math.QA"
] | Bernhard Drabant, Wolfgang Weich |
hep-th/9309052 | New Linear Systems for 2D Poincare Supergravities | A new linear system is constructed for Poincar\'e supergravities in two
dimensions. In contrast to previous results, which were based on the conformal
gauge, this linear system involves the topological world sheet degrees of
freedom (the Beltrami and super-Beltrami differentials). The associated
spectral parameter like... | 1993-09-09 | 2009-10-22 | [
"hep-th"
] | H. Nicolai (Hamburg University) |
hep-th/9309050 | The Heat Kernel Expansion on a Cone and Quantum Fields Near Cosmic
Strings | An asymptotic expansion of the trace of the heat kernel on a cone where the
heat coefficients have a delta function behavior at the apex is obtained. It is
used to derive the renormalized effective action and total energy of a
self-interacting quantum scalar field on the cosmic string space-time. Analogy
is pointed out... | 1993-09-09 | 2010-04-06 | [
"hep-th"
] | D.V.Fursaev |
hep-th/9309049 | Abelian Chern-Simons theory as the strong large-mass limit of
topologically massive abelian gauge theory: the Wilson loop | We show that the renormalized vacuum expectation value of the Wilson loop for
topologically massive abelian gauge theory in $\RR^3$ can be defined so that
its large-mass limit be the renormalized vacuum expectation value of the Wilson
loop for abelian Chern-Simons theory also in $\RR^3$. | 1993-09-09 | 2009-10-22 | [
"hep-th"
] | G. Giavarini, C.P. Martin and F. Ruiz Ruiz |
hep-th/9309055 | On the Calculation of Effective Actions by String Methods | Strassler's formulation of the string-derived Bern-Kosower formalism is
reconsidered with particular emphasis on effective actions and form factors.
Two- and three point form factors in the nonabelian effective action are
calculated and compared with those obtained in the heat kernel approach of
Barvinsky, Vilkovisky e... | 1993-09-09 | 2009-10-22 | [
"hep-th"
] | M.G. Schmidt and C. Schubert |
hep-th/9309042 | Curved Spacetime Geometry for Strings and Affine Non-compact Algebras | Based on lectures delivered at (1) the AMS meeting at USC, Nov. 1992
(2) Conference on Quantum Aspects of Black Holes, ITP, UC- Santa %Barbara,
%%June 1993.
(3) 25th Summer Institute, Ecole Normale Superieure, % Paris, Aug. 1992.
To appear in "Interface Between Mathematics and Physics", Ed. S.-T. Yau.
1--Itrodu... | 1993-09-08 | 2007-05-23 | [
"hep-th"
] | Itzhak Bars |
hep-th/9309043 | A zeta function approach to the relation between the numbers of symmetry
planes and axes of a polytope | A derivation of the Ces\`aro-Fedorov relation from the Selberg trace formula
on an orbifolded 2-sphere is elaborated and extended to higher dimensions using
the known heat-kernel coefficients for manifolds with piecewise-linear
boundaries. Several results are obtained that relate the coefficients, $b_i$,
in the Shephar... | 1993-09-08 | 2009-10-22 | [
"hep-th",
"alg-geom",
"math.DG"
] | J. S. Dowker |
hep-th/9309047 | Superconductivity in $2+1$ dimensions via Kosterlitz-Thouless Mechanism:
Large-N and Finite-Temperature Analyses | We analyse a $2+1$ dimensional model with charged, relativistic fermions
interacting through a four-Fermi term. Taking advantage of its large-$N$
renormalizability, the various phases of this model are studied at finite
temperature and beyond the leading order in $1/N$. Although the vacuum
expectation value (VEV) of a ... | 1993-09-08 | 2010-11-01 | [
"hep-th",
"cond-mat"
] | R. MacKenzie, P.K. Panigrahi and S. Sakhi |
hep-th/9309044 | Interacting Fermion Systems from Two Dimensional QCD | We consider two dimensional U(N) QCD on the cylinder with a timelike Wilson
line in an arbitrary representation. We show that the theory is equivalent to N
fermions with internal degrees of freedom which interact among themselves with
a generalized Sutherland-type interaction. By evaluating the expectation value
of the... | 1993-09-08 | 2009-10-22 | [
"hep-th",
"cond-mat"
] | Joseph A. Minahan and Alexios P. Polychronakos |
hep-th/9309046 | Singularities in Low Energy $d = 4$ Heterotic String and Brans-Dicke
Theories | We present the static, spherically symmetric solutions of the low energy $d =
4$ string. They form a simple generalisation of the Schwarzschild solution and
describe the gravitational field of a spherical star in perturbative string
theory. If the Robertson parameter $\gamma$ is different from one, these
solutions desc... | 1993-09-08 | 2008-02-03 | [
"hep-th",
"astro-ph",
"gr-qc",
"hep-ph"
] | S. Kalyana Rama |
hep-th/9309045 | The Hidden Spatial Geometry of Non-Abelian Gauge Theories | The Gauss law constraint in the Hamiltonian form of the $SU(2)$ gauge theory
of gluons is satisfied by any functional of the gauge invariant tensor variable
$\phi^{ij} = B^{ia} B^{ja}$. Arguments are given that the tensor $G_{ij} =
(\phi^{-1})_{ij}\,\det B$ is a more appropriate variable. When the Hamiltonian
is expres... | 1993-09-08 | 2007-05-23 | [
"hep-th",
"hep-ph"
] | D.Z. Freedman, P.E. Haagensen, K. Johnson and J.I. Latorre |
hep-th/9309040 | Correlation Functions and Multicritical Flows in $c<1$ String Theory | We compute all string tree level correlation functions of vertex operators in
$c<1$ string theory. This is done by using the ring structure of the theory. In
order to study the multicritical behaviour, we calculate the correlation
functions after perturbation by physical vertex operators. We show that the
$(2k-1,2)$ mo... | 1993-09-08 | 2015-06-26 | [
"hep-th"
] | Suresh Govindarajan, T. Jayaraman and Varghese John |
hep-th/9309039 | Some Global Aspects of Duality is String Theory | We explore some of the global aspects of duality transformations in String
Theory and Field Theory. We analyze in some detail the equivalence of dual
models corresponding to different topologies at the level of the partition
function and in terms of the operator correspondence for abelian duality. We
analyze the behavi... | 1993-09-07 | 2009-10-22 | [
"hep-th"
] | E. Alvarez, L. Alvarez-Gaume, J.L.F. Barbon and Y. Lozano |
hep-th/9309041 | The Complete Cohomology of the W3 String | We present a simple procedure for constructing the complete cohomology of the
BRST operator of the two-scalar and multi-scalar $W_3$ strings. The method
consists of obtaining two level--15 physical operators in the two-scalar $W_3$
string that are invertible, and that can normal order with all other physical
operators.... | 1993-09-07 | 2010-04-06 | [
"hep-th"
] | H. Lu, C.N. Pope, X.J. Wang and K.W. Xu |
hep-th/9309035 | Graphical Representation of Invariants and Covariants in General
Relativity | We present a grapical way to describe invariants and covariants in the (4
dim) general relativity. This makes us free from the complexity of suffixes .
Two new off-shell relations between (mass)$\ast\ast 6$\ invariants are
obtained. These are important for 2-loop off-shell calculation in the
perturbative quantum gravit... | 1993-09-07 | 2010-04-06 | [
"hep-th"
] | Shoichi Ichinose |
hep-th/9309036 | Reflection equations and q-Minkowski space algebras | We express the defining relations of the $q$-deformed Minkowski space algebra
as well as that of the corresponding derivatives and differentials in the form
of reflection equations. This formulation encompasses the covariance properties
with respect the quantum Lorentz group action in a straightforward way. | 1993-09-07 | 2009-10-22 | [
"hep-th",
"math.QA"
] | J. A. de Azc\'arraga, P. P. Kulish, and F. R\'odenas |
hep-th/9309038 | Higher Gel'fand-Dikii structures | We apply the procedure of Magri and Weinstein to produce an infinity of
compatible Poisson structures on a bihamiltonian manifold, to the case of the
KdV phase space. The higher Gel'fand-Dikii structures thus obtained contain non
local terms, which we express with the help of the r.h.s. of the KdV hierarchy.
We also gi... | 1993-09-07 | 2007-05-23 | [
"hep-th"
] | B. Enriquez, A. Orlov and V. Rubtsov |
hep-th/9309037 | Planckian Energy Scattering and Surface Terms in the Gravitational
Action | This is a revised version of our previous paper by the same name and preprint
number. It contains various changes, two figures and new results in sect.5. We
propose a new approach to four-dimensional Planckian-energy scattering in which
the phase of the ${\cal S}$-matrix is written---to leading order in $\hbar$ and
to ... | 1993-09-07 | 2009-10-22 | [
"hep-th",
"gr-qc"
] | M. Fabbrichesi, R. Pettorini, G. Veneziano and G.A. Vilkovisky |
hep-th/9309031 | Star products and deformed oscillators | A star-product formalism describing deformations of the standard quantum
mechanical harmonic oscillator is introduced. A number of existing generalized
oscillators occur as particular choises of star-products between the elements
of the ordinary oscillator algebra. Star dynamics and coherent states are
introduced and s... | 1993-09-06 | 2008-02-03 | [
"hep-th",
"math.QA"
] | Demosthenes Ellinas |
hep-th/9309030 | The Seven-sphere and its Kac-Moody Algebra | We investigate the seven-sphere as a group-like manifold and its extension to
a Kac-Moody-like algebra. Covariance properties and tensorial composition of
spinors under $S^7$ are defined. The relation to Malcev algebras is
established. The consequences for octonionic projective spaces are examined.
Current algebras are... | 1993-09-06 | 2009-10-22 | [
"hep-th",
"alg-geom",
"math.QA"
] | Martin Cederwall and Christian R. Preitschopf |
hep-th/9309033 | $R$-matrices for Elliptic Calogero-Moser Models | The classical $R$-matrix structure for the $n$-particle Calogero-Moser models
with (type IV) elliptic potentials is investigated. We show there is no
momentum independent $R$-matrix (without spectral parameter) when $n\ge4$. The
assumption of momentum independence is sufficient to reproduce the dynamical
$R$-matrices o... | 1993-09-06 | 2011-07-19 | [
"hep-th",
"nlin.SI",
"solv-int"
] | H. W. Braden and Takashi Suzuki |
hep-th/9309034 | The algebraic structure of the generalized uncertainty principle | We show that a deformation of the Heisenberg algebra which depends on a
dimensionful parameter $\kappa$ is the algebraic structure which underlies the
generalized uncertainty principle in quantum gravity. The deformed algebra and
therefore the form of the generalized uncertainty principle are fixed uniquely
by rather s... | 1993-09-06 | 2009-10-22 | [
"hep-th"
] | Michele Maggiore |
hep-th/9309032 | Motion of Wavefunction Zeros in Spin-Boson Systems | In the analytic-Bargmann representation associated with the harmonic
oscillator and spin coherent states, the wavefunction as entire complex
functions can be factorized in terms of their zeros in a unique way. The
Schr\"odinger equation of motion for the wavefunction is turned to a system of
equations for its zeros. Th... | 1993-09-06 | 2008-02-03 | [
"hep-th",
"chao-dyn",
"cond-mat",
"nlin.CD"
] | Demosthenes Ellinas and Vassilios Kovanis |
hep-th/9309029 | Multivariable Invariants of Colored Links Generalizing the Alexander
Polynomial | We discuss multivariable invariants of colored links associated with the
$N$-dimensional root of unity representation of the quantum group. The
invariants for $N>2$ are generalizations of the multi-variable Alexander
polynomial. The invariants vanish for disconnected links. We review the
definition of the invariants th... | 1993-09-06 | 2008-02-03 | [
"hep-th",
"math.QA"
] | Tetsuo Deguchi |
hep-th/9309028 | $W_\infty$ coherent states and path-integral derivation of bosonization
of non-relativistic fermions in one dimension | We complete the proof of bosonization of noninteracting nonrelativistic
fermions in one space dimension by deriving the bosonized action using
$W_\infty$ coherent states in the fermion path-integral. This action was
earlier derived by us using the method of coadjoint orbits. We also discuss the
classical limit of the b... | 1993-09-05 | 2010-11-01 | [
"hep-th"
] | Avinash Dhar, Gautam Mandal and Spenta R. Wadia |
hep-th/9309024 | Topological quantum field theory and invariants of graphs for quantum
groups | On basis of generalized 6j-symbols we give a formulation of topological
quantum field theories for 3-manifolds including observables in the form of
coloured graphs. It is shown that the 6j-symbols associated with deformations
of the classical groups at simple even roots of unity provide examples of this
construction. C... | 1993-09-03 | 2009-10-22 | [
"hep-th",
"math.QA"
] | Anna Beliakova and Bergfinnur Durhuus |
hep-th/9309023 | Inflation Deflation and Frame-Independence in String Cosmology | The inflationary scenarios suggested by the duality properties of string
cosmology in the Brans-Dicke (or String) frame are shown to correspond to
accelerated contraction (deflation) when
Weyl-transformed to the Einstein frame. We point out that the basic virtues
of inflation (solving the flatness and horizon problem... | 1993-09-03 | 2009-10-22 | [
"hep-th",
"astro-ph",
"gr-qc"
] | M Gasperini and G Veneziano |
hep-th/9309025 | The Dynamics of Relativistic Membranes II: Nonlinear Waves and
Covariantly Reduced Membrane Equations | By explicitly eliminating all gauge degrees of freedom in the $3+1$-gauge
description of a classical relativistic (open) membrane moving in $\Real^3$ we
derive a $2+1$-dimensional nonlinear wave equation of Born-Infeld type for the
graph $z(t,x,y)$ which is invariant under the Poincar\'e group in four
dimensions. Alter... | 1993-09-03 | 2011-07-19 | [
"hep-th"
] | Martin Bordemann and Jens Hoppe |
hep-th/9309020 | Universal bundle for gravity, local index theorem, and covariant
gravitational anomalies | Consistent and covariant Lorentz and diffeomorphism anomalies are
investigated in terms of the geometry of the universal bundle for gravity. This
bundle is explicitly constructed and its geometrical structure will be studied.
By means of the local index theorem for families of Bismut and Freed the
consistent gravitatio... | 1993-09-03 | 2009-10-22 | [
"hep-th"
] | Gerald Kelnhofer |
hep-th/9309026 | $q$--Hypergeometric Functions in the Formalism of Free Fields | We describe a representation of the $q$--hypergeometric functions of one
variable in terms of correlators of vertex operators made out of free scalar
fields on the Riemann sphere. | 1993-09-03 | 2015-06-26 | [
"hep-th"
] | Alexei Morozov and Luc Vinet |
hep-th/9309022 | Exact solution of the $SU_{q}(n)$ invariant quantum spin chains | The Nested Bethe Ansatz is generalized to open boundary conditions. This is
used to find the exact eigenvectors and eigenvalues of the $A_{n-1}$ vertex
model with fixed open boundary conditions and the corresponding $SU_{q}(n)$
invariant hamiltonian.
The Bethe Ansatz equations obtained are solved in the thermodynamic... | 1993-09-03 | 2009-10-22 | [
"hep-th",
"math.QA"
] | H. J. de Vega and A. Gonz\'alez--Ruiz |
hep-th/9309027 | A Note on Gauge Transformations in Batalin-Vilkovisky Theory | We give a generally covariant description, in the sense of symplectic
geometry, of gauge transformations in Batalin-Vilkovisky quantization. Gauge
transformations exist not only at the classical level, but also at the quantum
level, where they leave the action-weighted measure $d\mu_S = d\mu
e^{2S/\hbar}$ invariant. Th... | 1993-09-03 | 2009-09-15 | [
"hep-th"
] | Ashoke Sen and Barton Zwiebach |
hep-th/9309016 | Strings in Cosmological and Black Hole Backgrounds: Ring Solutions | The string equations of motion and constraints are solved for a ring shaped
Ansatz in cosmological and black hole spacetimes. In FRW universes with
arbitrary power behavior [$R(X^0) = a\;|X^0|^{\a}\, $], the asymptotic form of
the solution is found for both $X^0 \to 0$ and $X^0 \to \infty$ and we plot the
numerical sol... | 1993-09-02 | 2009-10-22 | [
"hep-th",
"astro-ph",
"gr-qc"
] | H.J. de Vega and I.L. Egusquiza |
hep-th/9309012 | Adjoint Fermion Matrix Models | We study fermionic one-matrix, two-matrix and $D$-dimensional gauge invariant
matrix models. In all cases we derive loop equations which unambiguously
determine the large-$N$ solution. For the one-matrix case the solution is
obtained for an arbitrary interaction potential and turns out to be equivalent
to the one for t... | 1993-09-02 | 2009-10-22 | [
"hep-th"
] | Yu. Makeenko and K. Zarembo |
hep-th/9308158 | U(N) Gauge Theory and Lattice Strings | We explain, in a slightly modified form, an old construction allowing to
reformulate the U(N) gauge theory defined on a D-dimensional lattice as a
theory of lattice strings (a statistical model of random surfaces). The world
surface of the lattice string is allowed to have pointlike singularities
(branch points) locate... | 1993-09-02 | 2009-10-22 | [
"hep-th"
] | Ivan K. Kostov |
hep-th/9309006 | Classical Theta Functions and Quantum Tori | The Schwartz kernel of the multiplication operation on a quantum torus is
shown to be the distributional boundary value of a classical multivariate theta
function. The kernel satisfies a Schr\"odinger equation in which the role of
time is played by the deformation parameter $\hbar$ and the role of the
hamiltonian by a ... | 1993-09-02 | 2008-02-03 | [
"hep-th",
"math.QA"
] | Alan Weinstein |
hep-th/9309015 | Proper Time Formalism and Gauge Invariance in Open String Interactions | The issue of gauge invariances in the sigma model formalism is discussed at
the free and interacting level. The problem of deriving gauge invariant
interacting equations can be addressed using the proper time formalism. This
formalism is discussed, both for point particles and strings. The covariant
Klein Gordon equati... | 1993-09-02 | 2010-11-01 | [
"hep-th"
] | B. Sathiapalan |
hep-th/9309018 | Soliton quantization and internal symmetry | We apply the method of collective coordinate quantization to a model of
solitons in two spacetime dimensions with a global $U(1)$ symmetry. In
particular we consider the dynamics of the charged states associated with
rotational excitations of the soliton in the internal space and their
interactions with the quanta of t... | 1993-09-02 | 2010-11-01 | [
"hep-th",
"hep-ph"
] | Nicholas Dorey, James Hughes and Michael P. Mattis |
hep-th/9309014 | Null vectors of the $WBC_2$ algebra | Using the fusion principle of Bauer et al. we give explicit expressions for
some null vectors in the highest weight representations of the \bc algebra in
two different forms. These null vectors are the generalization of the Virasoro
ones described by Benoit and Saint-Aubin and analogues of the $W_3$ ones
constructed by... | 1993-09-02 | 2009-10-22 | [
"hep-th"
] | Z. Bajnok |
hep-th/9309017 | Tau functions for the Dirac operator on the Poincare' disk | Correlation functions for holonomic fields on the Poincare' disk are
analyzed. The two point functions are shown to be expressible in terms of
Painleve' functions of type VI. | 1993-09-02 | 2009-07-11 | [
"hep-th",
"math-ph",
"math.MP",
"nlin.SI",
"solv-int"
] | John Palmer, Morris Beatty, Craig A. Tracy |
hep-th/9309021 | On squaring the primary constraints in a generalized Hamiltonian
dynamics | Consideration of the model of the relativistic particle with curvature and
torsion in the three-dimensional space-time shows that the squaring of the
primary constraints entails a wrong result. The complete set of the Hamiltonian
constraints arising here correspond to another model with an action similar but
not identi... | 1993-09-02 | 2016-09-06 | [
"hep-th"
] | V.V. Nesterenko |
hep-th/9309019 | Three Dimensional Black Holes and Four Dimensional Black Strings as
Nonlinear Sigma Models | Two solutions of stringy gravity in three and four dimensions which admit
interpretation as a black hole and a black string, respectively, are discussed.
It is demonstrated that they are exact WZWN nonlinear sigma models to all
orders in the inverse string tension, and hence represent exact conformal field
theories on ... | 1993-09-02 | 2007-05-23 | [
"hep-th"
] | Nemanja Kaloper |
hep-th/9309013 | Perturbative Renormalization in Quantum Mechanics | Some quantum mechanical potentials, singular at short distances, lead to
ultraviolet divergences when used in perturbation theory. Exactly as in quantum
field theories, but much simpler, regularization and renormalization lead to
finite physical results, which compare correctly to the exact ones. The Dirac
delta potent... | 1993-09-02 | 2009-10-22 | [
"hep-th"
] | Cristina Manuel and Rolf Tarrach |
hep-th/9309004 | BRST quantization of relativistic particles on inner product spaces | Recent results of BRST quantization on inner product spaces are reviewed. It
is shown how relativistic particle models may be quantized with finite norms
and that the relation between the operator method and the conventional path
integral treatments is nontrivial. | 1993-09-01 | 2007-05-23 | [
"hep-th"
] | Robert Marnelius |
hep-th/9309007 | On the integrability of N=2 Landau-Ginzburg models: A graph
generalization of the Yang-Baxter equation | The study of the integrability properties of the N=2 Landau- Ginzburg models
leads naturally to a graph generalization of the Yang-Baxter equation which
synthetizes the well known vertex and RSOS Yang-Baxter equations. A non trivial
solution of this equation is found for the $t_2$ perturbation of the A-models,
which tu... | 1993-09-01 | 2009-10-22 | [
"hep-th",
"cond-mat",
"nlin.SI",
"solv-int"
] | C.Gomez and G.Sierra |
hep-th/9309011 | On the multilevel generalization of the field--antifield formalism | The multilevel geometrically--covariant generalization of the
field--antifield BV--formalism is suggested. The structure of quantum
generating equations and hypergauge conditions is studied in details. The
multilevel formalism is established to be physically--equivalent to the
standard BV--version. | 1993-09-01 | 2015-06-26 | [
"hep-th"
] | I.A.Batalin and I.V.Tyutin |
hep-th/9309003 | A note on path integrals and time evolutions in BRST quantization | Recent formal solutions of BRST quantization on inner product spaces within
the operator method are shown to lead to an unexpected interpretation of the
conventional path integral formulation. The relation between the Hamiltonians
in the two formulations is nontrivial. For the operator method the
correspondence require... | 1993-09-01 | 2010-11-01 | [
"hep-th"
] | Robert Marnelius |
hep-th/9309001 | Bethe Ansatz for Lattice Analogues of $N=2$ Superconformal Theories | The critical Boltzmann weights for lattice analogues of the $N=2$
superconformal coset models $\frac{G_1 \times SO(dim(G/H))}{H}$ were given in
\cite{nick}. In this paper Bethe Ansatz methods are employed to calculate the
spectrum of the transfer matrix obtained from these Boltzmann weights. {}From
this the central cha... | 1993-09-01 | 2007-05-23 | [
"hep-th"
] | Z. Maassarani |
hep-th/9309008 | Scenario for Seeding a Singularity in $d = 2$ String Black Hole with
Tachyon | The $d = 2$ string admits a black hole solution and also a singular solution
when tachyon back reaction is included. It is of importance to know if the
former solution can evolve into a later one. An explicit solution describing
this process is difficult to obtain. We present here a scenario in which such
an evolution ... | 1993-09-01 | 2008-02-03 | [
"hep-th",
"gr-qc"
] | S. Kalyana Rama |
hep-th/9309009 | Resonance Point Interactions | A new construction is presented for point interactions (PI) and generalised
point interactions (GPI). The construction is an inverse scattering procedure,
using integral transforms suggested by the required scattering theory. The
usual class of PI in 3 dimensions (i.e. the self adjoint extensions of the
Laplacian on th... | 1993-09-01 | 2007-05-23 | [
"hep-th"
] | C.J.Fewster |
hep-th/9309010 | Boundary-Induced Phase Transitions in Equilibrium and Non-Equilibrium
Systems | Boundary conditions may change the phase diagram of non-equilibrium
statistical systems like the one-dimensional asymmetric simple exclusion
process with and without particle number conservation. Using the quantum
Hamiltonian approach, the model is mapped onto an XXZ quantum chain and solved
using the Bethe ansatz. Thi... | 1993-09-01 | 2009-10-22 | [
"hep-th",
"cond-mat",
"hep-lat",
"nlin.SI",
"solv-int"
] | Malte Henkel and Gunter Sch\"utz |
hep-th/9309005 | Finite N analysis of matrix models for n-Ising spin on a random surface | The saddle point equation described by the eigenvalues of N by N Hermitian
matrices is analized for a finite N case and the scaling relation for the large
N is considered. The critical point and the critical exponents of matrix model
are obtained by the finite N scaling. One matrix model and two matrix model are
studie... | 1993-09-01 | 2009-10-22 | [
"hep-th"
] | Shinobu Hikami |
hep-th/9309002 | Proper BRST quantization of relativistic particles | Recently derived general formal solutions of a BRST quantization on inner
product spaces of irreducible Lie group gauge theories are applied to trivial
models and relativistic particle models for particles with spin 0, 1/2 and 1.
In the process general quantization rules are discovered which make the formal
solutions e... | 1993-09-01 | 2010-11-01 | [
"hep-th"
] | Robert Marnelius |
hep-th/9308151 | Introduction to Vertex Algebras, Borcherds Algebras, and the Monster Lie
Algebra | The theory of vertex algebras constitutes a mathematically rigorous axiomatic
formulation of the algebraic origins of conformal field theory. In this context
Borcherds algebras arise as certain ``physical'' subspaces of vertex algebras.
The aim of this review is to give a pedagogical introduction into this
rapidly-deve... | 1993-08-31 | 2010-11-01 | [
"hep-th",
"math.QA"
] | R. W. Gebert |
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