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/9210009 | Quantum Affine Symmetry as Generalized Supersymmetry | The quantum affine $\CU_q (\hat{sl(2)}) $ symmetry is studied when $q^2$ is
an even root of unity. The structure of this algebra allows a natural
generalization of N=2 supersymmetry algebra. In particular it is found that the
momentum operators $P ,\bar{P}$, and thus the Hamiltonian, can be written as
generalized multi... | 1992-10-01 | 2009-10-22 | [
"hep-th"
] | A. LeClair and C. Vafa |
hep-th/9210002 | Critical Exponents of the Chiral Potts Model from Conformal Field Theory | The $Z_N$-invariant chiral Potts model is considered as a perturbation of a
$Z_N$ conformal field theory. In the self-dual case the renormalization group
equations become simple, and yield critical exponents and anisotropic scaling
which agree with exact results for the super-integrable lattice models.
Although the con... | 1992-10-01 | 2009-10-22 | [
"hep-th",
"cond-mat"
] | John L. Cardy |
hep-th/9210008 | Green-Schwarz Formulation of Self-Dual Superstring | The self-dual superstring has been described previously in a
Neveu-Schwarz-Ramond formulation with local N=2 or 4 world-sheet supersymmetry.
We present a Green-Schwarz-type formulation, with manifest spacetime
supersymmetry. | 1992-10-01 | 2009-10-22 | [
"hep-th"
] | W. Siegel |
hep-th/9210005 | Ray-Singer Torsion, Topological field theories and the Riemann zeta
function at s=3 | Starting with topological field theories we investigate the Ray-Singer
analytic torsion in three dimensions. For the lens Spaces L(p;q) an explicit
analytic continuation of the appropriate zeta functions is contructed and
implemented. Among the results obtained are closed formulae for the individual
determinants involv... | 1992-10-01 | 2008-02-03 | [
"hep-th",
"math.DG"
] | Charles Nash and Denjoe O' Connor |
hep-th/9210003 | Bose-Einstein condensation of scalar fields on hyperbolic manifolds | The problem of Bose-Einstein condensation for a relativistic ideal gas on a
3+1 dimensional manifold with a hyperbolic spatial part is analyzed in some
detail. The critical temperature is evaluated and its dependence of curvature
is pointed out. | 1992-10-01 | 2009-10-22 | [
"hep-th"
] | Guido Cognola and Luciano Vanzo |
hep-th/9210010 | W-symmetry in Conformal Field Theory | We review various aspects of $\cW$-algebra symmetry in two-dimensional
conformal field theory and string theory. We pay particular attention to the
construction of $\cW$-algebras through the quantum Drinfeld-Sokolov reduction
and through the coset construction. | 1992-10-01 | 2009-10-22 | [
"hep-th"
] | P. Bouwknegt and K. Schoutens |
hep-th/9209130 | Free Field Representation for the Classical Limit of Quantum Affine
Algebra | Free field representation for the classical limit of quantum affine algebra
is constructed by simple deformation of the known expressions from WZW theory. | 1992-09-30 | 2009-10-22 | [
"hep-th"
] | Sergei Lukyanov and Samson L. Shatashvili |
hep-th/9209132 | Comment on Internal Frame Dragging and a Global Analog of the
Aharonov-Bohm Effect | It is shown that AB-like cross sections can be obtained from symmetry
breaking which does not require infinite energy, angular dependence in the
symmetry breaking term, or a nontrivial $Z_2$ charge. | 1992-09-30 | 2007-05-23 | [
"hep-th"
] | C. R. Hagen |
hep-th/9209126 | Intrinsic Vertex Regularization and Renormalization in $\phi^4$ Field
Theory | Based upon the intrinsic relation between the divergent lower point functions
and the convergent higher point ones in the renormalizable quantum field
theories, we propose a new method for regularization and renormalization in
QFT. As an example, we renormalize the $\phi^{4}$ theory at the one loop order
by means of th... | 1992-09-30 | 2007-05-23 | [
"hep-th"
] | Zhong-Hua Wang and Han-Ying Guo |
hep-th/9209128 | How the Little Group Constrains Massless Field Representations in Higher
Even Dimensions | Assuming trivial action of Euclidean translations of the little group, we
derive a simple correspondence between massless field representations
transforming under the full generalized even dimensional Lorentz group, and
highest weight states of the relevant little group. This yields a connection
between `helicity' and ... | 1992-09-30 | 2007-05-23 | [
"hep-th",
"hep-ph"
] | Vineer Bhansali |
hep-th/9209127 | The Ring Structure of Chiral Operators for Minimal Models Coupled to 2D
Gravity | (Talk presented at the 1992 ICTP summer workshop in high energy physics and
cosmology) The BRST cohomology ring for $(p,q)$ models coupled to gravity is
discussed. In addition to the generators of the ghost number zero ring, the
existence of a generator of ghost number $-1$ and its inverse is proven and
used to constru... | 1992-09-30 | 2007-05-23 | [
"hep-th"
] | M.H. Sarmadi |
hep-th/9209129 | Three Dimensional Quantum Chromodynamics | The subject of this talk was the review of our study of three ($2+1$)
dimensional Quantum Chromodynamics. In our previous works, we showed the
existence of a phase where parity is unbroken and the flavor group $U(2n)$ is
broken to a subgroup $U(n)\times U(n)$. We derived the low energy effective
action for the theory a... | 1992-09-30 | 2009-10-22 | [
"hep-th"
] | G. Ferretti, S.G. Rajeev and Z. Yang |
hep-th/9209131 | Comment on Disassembling Anyons | It is pointed out that Chern-Simons theories do not allow an anyon
interpretation when spin is included. | 1992-09-30 | 2007-05-23 | [
"hep-th"
] | C. R. Hagen |
hep-th/9209114 | Crystallising the Depth Rule for WZNW Fusion Coefficients | Motivated by a formula (due to Zelobenko) for finite Lie algebra tensor
products, we propose a reformulation of the Gepner-Witten depth rule.
Implementation of this rule remains difficult, however, since the basis states
convenient for calculating tensor product coefficients do not have a
well-defined depth. To avoid t... | 1992-09-29 | 2007-05-23 | [
"hep-th"
] | A.N. Kirillov, P. Mathieu, D. S\'en\'echal and M.A. Walton |
hep-th/9209116 | Dilaton Black Holes Near the Horizon | Generic $U(1)^2$ 4-d black holes with unbroken $N=1$ supersymmetry are shown
to tend to a Robinson-Bertotti type geometry with a linear dilaton and doubling
of unbroken supersymmetries near the horizon. Purely magnetic dilatonic black
holes, which have unbroken $N=2$ supersymmetry, behave near the horizon as a
2-d line... | 1992-09-29 | 2010-01-06 | [
"hep-th"
] | Renata Kallosh and Amanda Peet |
hep-th/9209118 | Dilatonic Supergravity in Two Dimensions and the Disappearance of
Quantum Black Hole | We analyze a supergravity theory coupled to a dilaton and superconformal
matters in two dimensions. This theory is classically soluble and we find all
the solutions appeared in Callan, Giddings, Harvey and Strominger's dilatonic
gravity also satisfy the constraints and the equations of motion in this
supersymmetric the... | 1992-09-29 | 2009-10-22 | [
"hep-th"
] | Shin'ichi Nojiri and Ichiro Oda |
hep-th/9209121 | Transformation Properties of Linearized de Sitter Gravity Solutions | The effect of de Sitter transformations on Tsamis and Woodard's solutions to
the linearized gauge fixed equations of motion of quantum gravity in a de
Sitter space background is worked out explicitly. It is shown that these
solutions are closed under the transformations of the de Sitter group. To do
this it is necessar... | 1992-09-29 | 2007-05-23 | [
"hep-th",
"gr-qc"
] | Gary Kleppe |
hep-th/9209124 | Regularization Dependence of Quadratic Divergence Cancellations,
VPI-IHEP-92/10 | Certain results related to the cancellation of quadratic divergences, which
had been obtained using dimensional reduction, are reconsidered using a
nonlocal regulator. The results obtained are shown to depend strongly on the
regulator. Specifically, it is shown that a certain result of Al-sarhi, Jack,
and Jones no long... | 1992-09-29 | 2007-05-23 | [
"hep-th",
"hep-ph"
] | Gary Kleppe |
hep-th/9209125 | Dilaton-Axion Symmetry | The heterotic string compactified on a six-torus is described by a low-energy
effective action consisting of N=4 supergravity coupled to N=4 super
Yang-Mills, a theory that was studied in detail many years ago. By explicitly
carrying out the dimensional reduction of the massless fields, we obtain the
bosonic sector of ... | 1992-09-29 | 2007-05-23 | [
"hep-th"
] | John H. Schwarz |
hep-th/9209119 | A New Algorithm for Numerical Calculation of Link Invariants | We propose a new method for numerical calculation of link plynomials for
knots given in 3 dimensions. We calculate derivatives of the Jones polynomial
in a computational time proportional to $N^{\alpha}$ with respect to the system
size $N$ . This method gives a new tool for determining topology of knotted
closed loops ... | 1992-09-29 | 2009-10-22 | [
"hep-th"
] | Tetsuo Deguchi and Kyoichi Tsurusaki |
hep-th/9209113 | Toy Models For Black Hole Evaporation | These are lecture notes for the 1992 Erice Workshop on Theoretical Physics.
They first present a summary of the paradox of information loss to black holes,
of its proposed resolutions, and of the flaws in the proposed resolutions.
There follows a review of recent attempts to attack this problem, and other
issues in bla... | 1992-09-29 | 2009-09-25 | [
"hep-th",
"gr-qc"
] | Steven B. Giddings |
hep-th/9209123 | (SUPER) W Algebras from Non Abelian (SUPER) Toda Theories | A classification of (super) $W$ algebras arising from non Abelian Toda and
super Toda theories is presented. This classification is based on the $Sl(2)$
or $OSp(1|2)$ sub(super)algebras of the simple Lie (super)algebra underlying
the model. This allows to compute the conformal spin content of each $W$
(super)algebra. {... | 1992-09-29 | 2007-05-23 | [
"hep-th"
] | L. Frappat, E. Ragoucy and P. Sorba |
hep-th/9209122 | $W_{\infty} Algebra in Two-Dimensional Black Hole | We study the $SL(2;R)/U(1)$ coset model of two-dimensional black hole and its
relation to the Liouville theory coupled to c=1 matter. We uncover a basic
isomorphism in the algebraic structures of these theories and show that the
black hole model has the same physical spectrum as the c=1 model, i.e.
tachyons, $W_\infty$... | 1992-09-29 | 2011-04-20 | [
"hep-th"
] | T.Eguchi, H.Kanno and S.-K.Yang |
hep-th/9209120 | Super Self-Duality as Analyticity in Harmonic Superspace | A twistor correspondence for the self-duality equations for supersymmetric
Yang-Mills theories is developed. Their solutions are shown to be encoded in
analytic harmonic superfields satisfying appropriate generalised Cauchy-Riemann
conditions. An action principle yielding these conditions is presented. | 1992-09-29 | 2009-10-22 | [
"hep-th"
] | Ch. Devchand and V. Ogievetsky |
hep-th/9209112 | Correlation Functions of (2k-1, 2) Minimal Matter Coupled to 2D Quantum
Gravity | We compute N-point correlation functions of non-unitary (2k-1, 2) minimal
matter coupled to 2D quantum gravity on a sphere using the continuum Liouville
field approach. A gravitational dressing of the matter primary field with the
minimum conformal weight is used as the cosmological operator. Our results are
in agreeme... | 1992-09-28 | 2009-10-22 | [
"hep-th"
] | Shun-ichi Yamaguchi |
hep-th/9209115 | Twistor-Like Type II Superstring and Bosonic String | The superfield formulation of type II Green-Schwarz superstring with n= (1,0)
worldsheet supersymmetry is constructed. It is shown that the inclusion of the
second spinor coordinate in the target superspase leads to the possibility of
the reparametrization invariant description of the superstring in the absence
of any ... | 1992-09-28 | 2010-11-01 | [
"hep-th"
] | V.Chikalov, A.Pashnev |
hep-th/9209117 | Domain Walls in $N=1$ Supergravity | We discuss a study of domain walls in $N=1, d=4$ supergravity. The walls
saturate the Bogomol'nyi bound of wall energy per unit area thus proving
stability of the classical solution. They interpolate between two vacua whose
cosmological constant is non-positive and in general different. The matter
configuration and ind... | 1992-09-28 | 2008-02-03 | [
"hep-th",
"gr-qc"
] | Mirjam Cvetic and Stephen Griffies |
hep-th/9209110 | Self-dual Vortices in the Generalized Abelian Higgs Model with
Independent Chern-Simons Interaction | Self-dual vortex solutions are studied in detail in the generalized abelian
Higgs model with independent Chern-Simons interaction. For special choices of
couplings, it reduces to a Maxwell-Higgs model with two scalar fields, a
Chern-Simons-Higgs model with two scalar fields, or other new models. We
investigate the prop... | 1992-09-27 | 2009-10-22 | [
"hep-th"
] | Chanju Kim |
hep-th/9209111 | Discrete States in the $W_3$ String | We construct the low-lying discrete states of the two-scalar $W_3$ string.
This includes states that correspond to the analogues of the ground ring
generators of the ordinary two-dimensional string. These give rise to infinite
towers of discrete states at higher levels. | 1992-09-27 | 2009-10-07 | [
"hep-th"
] | C.N. Pope, E. Sezgin, K.S. Stelle and X.J. Wang |
hep-th/9209107 | Quaternionic Superconformal Field Theory | We develop a superfield formalism for N=4 superconformal two-dimensional
field theory. A list is presented of minimal free superfields, i.e. of
multiplets containing four bosons and four fermions. We show that the
super-Poincar\'e algebra of the six-dimensional superstring in the light-cone
gauge is essentially equival... | 1992-09-26 | 2009-02-23 | [
"hep-th"
] | Martin Cederwall and Christian Preitschopf |
hep-th/9209109 | Maslov indices for periodic orbits | It is shown that there is a generalization of the Conley-Zehnder index for
periodic trajectories of a classical Hamiltonian system $(Q, \omega, H)$ from
the case $Q = T^*R^n$ to arbitrary symplectic manifolds. As it turns out, it is
precisely this index which appears as a Maslov phase in the trace formulas by
Gutzwille... | 1992-09-26 | 2007-05-23 | [
"hep-th"
] | E.Meinrenken |
hep-th/9209106 | Saddle point solutions in Yang-Mills-dilaton theory | The coupling of a dilaton to the $SU(2)$-Yang-Mills field leads to
interesting non-perturbative static spherically symmetric solutions which are
studied by mixed analitical and numerical methods. In the abelian sector of the
theory there are finite-energy magnetic and electric monopole solutions which
saturate the Bogo... | 1992-09-26 | 2010-11-19 | [
"hep-th",
"gr-qc"
] | Piotr Bizon (Institut f\"ur Theoretische Physik Universit\"at Wien
Boltzmanngasse 5, A-1090 Vienna, Austria) |
hep-th/9209108 | New classical r-matrices from integrable non-linear sigma models | Non linear sigma models on Riemannian symmetric spaces constitute the most
general class of classical non-linear sigma models which are known to be
integrable. Using the current algebra structure of these models their canonical
structure is analysed and it is shown that their non ultralocal fundamental
Poisson bracket ... | 1992-09-26 | 2007-05-23 | [
"hep-th"
] | J.Laartz, M.Bordemann, M.Forger, U.Sch\"aper |
hep-th/9209102 | Cosmic Strings and Chronology Protection | A space consisting of two rapidly moving cosmic strings has recently been
constructed by Gott that contains closed timelike curves. The global structure
of this space is analysed and is found that, away from the strings, the space
is identical to a generalised Misner space. The vacuum expectation value of the
energy mo... | 1992-09-25 | 2009-10-22 | [
"hep-th"
] | James D.E. Grant |
hep-th/9209100 | On the Continuum Limit of the Conformal Matrix Models | The double scaling limit of a new class of the multi-matrix models proposed
in \cite{MMM91}, which possess the $W$-symmetry at the discrete level, is
investigated in details. These models are demonstrated to fall into the same
universality class as the standard multi-matrix models. In particular, the
transformation of ... | 1992-09-25 | 2009-10-22 | [
"hep-th"
] | A. Mironov and S. Pakuliak |
hep-th/9209105 | Null vectors of the W_3 algebra | We construct $W_3$ null vectors of a restricted class explicitly in two
different forms. The method we use is an extension of that of Bauer et al.~in
the Virasoro case. Our results are analogous to the formulae of Benoit and
St.~Aubin for the Virasoro null vectors. We derive in the Virasoro case some
alternative formul... | 1992-09-25 | 2009-10-22 | [
"hep-th"
] | P. Bowcock and G.M.T. Watts |
hep-th/9209101 | Critical Wilson Lines in Toroidal Compactifications of Heteroric Strings | Critical values of Wilson lines and general background fields for toroidal
compactifications of heterotic string theories are constructed systematically
using Dynkin diagrams. | 1992-09-25 | 2010-11-01 | [
"hep-th"
] | Thomas Mohaupt |
hep-th/9209103 | Current Algebras in $3+1$ dimensions | Aspects of a generalized representation theory of current algebras in $3+1$
dimensions are discussed in terms of the Fock bundle method, the sesquilinear
form approach (of Langmann and Ruijsenaars), and Hilbert space cocycles. | 1992-09-25 | 2007-05-23 | [
"hep-th"
] | Jouko Mickelsson |
hep-th/9209094 | On subdivision invariant actions for random surfaces | We consider a subdivision invariant action for dynamically triangulated
random surfaces that was recently proposed (R.V. Ambartzumian et. al., Phys.
Lett. B 275 (1992) 99) and show that it is unphysical: The grand canonical
partition function is infinite for all values of the coupling constants. We
conjecture that addi... | 1992-09-24 | 2009-10-22 | [
"hep-th"
] | B. Durhuus and T. Jonsson |
hep-th/9209093 | W-algebras arising as chiral algebras of conformal field theory | It is argued that chiral algebras of conformal field theory possess a
W-algebra structure. A survey of explicitly known W-algebras and their
constructions is given. (Talk given at the XIX International Colloquium on
``Group Theoretical Methods in Physics'', Salamanca, Spain, June 29 -- July 4,
1992) | 1992-09-24 | 2007-05-23 | [
"hep-th"
] | H.G. Kausch |
hep-th/9209096 | Topological Observables in Semiclassical Field Theories | We give a geometrical set up for the semiclassical approximation to euclidean
field theories having families of minima (instantons) parametrized by suitable
moduli spaces ${\cal M}$. The standard examples are of course Yang-Mills theory
and non-linear $\sigma$-models. The relevant space here is a family of measure
spac... | 1992-09-24 | 2010-11-01 | [
"hep-th"
] | M. Nolasco, C.Reina |
hep-th/9209097 | From hermitian matrix model to lattice gauge theory | I consider a lattice model of a gauge field interacting with matrix-valued
scalars in $D$ dimensions. The model includes an adjustable parameter $\s$,
which plays role of the string tension. In the limit $\s=\infty$ the model
coincides with Kazakov-Migdal's ``induced QCD", where Wilson loops obey a zero
area law. The l... | 1992-09-24 | 2007-05-23 | [
"hep-th",
"hep-lat"
] | B. Rusakov |
hep-th/9209098 | Anyonic States in Chern-Simons Theory | We discuss the canonical quantization of Chern-Simons theory in $2+1$
dimensions, minimally coupled to a Dirac spinor field. Gauss's law and the
gauge condition, $A_0 = 0$, are implemented by embedding the formulation in an
appropriate physical subspace. We find two kinds of charged particle states in
this model. One k... | 1992-09-24 | 2007-05-23 | [
"hep-th"
] | K. Haller and E. Lim-Lombridas |
hep-th/9209104 | The q-Boson Realizations of the Quantum Group $U_{q}(sl(n+1,C))$ | We give explicit expression of recurrency formulae of canonical realization
for quantum enveloping algebras $U_{q}(sl(n+1,C))$. In these formulas the
generators of the algebra $U_{q}(sl(n+1,C))$ are expressed by means of
n-canonical q-boson pairs one auxiliary representation of the algebra
$U_{q}(gl(n,C))$. | 1992-09-24 | 2019-08-17 | [
"hep-th"
] | C. Burdik, L. Cerny and O. Navratil |
hep-th/9209099 | Introduction to sh Lie algebras for physicists | Closed string field theory leads to a generalization of Lie algebra which
arose naturally within mathematics in the study of deformations of algebraic
structures. It also appeared in work on higher spin particles \cite{BBvD}.
Representation theoretic analogs arose in the mathematical analysis of the
Batalin-Fradkin-Vil... | 1992-09-24 | 2009-10-22 | [
"hep-th"
] | Tom Lada and Jim Stasheff |
hep-th/9209092 | Vect(N) Invariants and Quantum Gravity | The Feigin-Fuks construction of irreducible lowest-weight Virasoro
representations is reviewed using physics terminology. The procedure consists
of two steps: constructing invariants and applying them to the Fock vacuum. We
attempt to generalize this construction to the diffeomorphism algebra in higher
dimensions. The ... | 1992-09-24 | 2007-05-23 | [
"hep-th"
] | T. A. Larsson |
hep-th/9209095 | The phase space of the Wess-Zumino-Witten model | We prove that the covariant and Hamiltonian phase spaces of the
Wess-Zumino-Witten model on the cylinder are diffeomorphic and we derive the
Poisson brackets of the theory. | 1992-09-24 | 2007-05-23 | [
"hep-th"
] | G.Papadopoulos and B. Spence |
hep-th/9209091 | Local symmetry in the Kazakov-Migdal gauge model | The spectrum of observables in the induced lattice gauge model proposed
recently by V.A.Kazakov and A.A.Migdal obeys the local-confinement selection
rule. The underlying local continuous symmetry cannot be spontaneously broken
within the model. | 1992-09-23 | 2007-05-23 | [
"hep-th",
"hep-lat"
] | D.V.Boulatov |
hep-th/9209087 | Three dimensional field theories from infinite dimensional lie algebras | A procedure for constructing topological actions from centrally extended Lie
groups is introduced. For a \km\ group, this produces \3al \cs, while for the
\vir\ group the result is a new \3al \tft\ whose physical states satisfy the
\vir\ \wi. This \tft\ is shown to be a first order formulation of two
dimensional induce... | 1992-09-23 | 2015-06-26 | [
"hep-th"
] | Robert Perret |
hep-th/9209089 | On Renormalization Group Flow In Matrix Model | The renormalization group flow recently found by Br\'ezin and Zinn- Justin by
integrating out redundant entries of the $(N+1)\times (N+1)$ hermitian random
matrix is studied. By introducing explicitly the RG flow parameter, and adding
suitable counter terms to the matrix potential of the one matrix model, we
deduce som... | 1992-09-23 | 2007-05-23 | [
"hep-th"
] | H.B. Gao |
hep-th/9209088 | Generalized Semilocal Theories and Higher Hopf Maps | \def\mon{S^3\stackrel{S^1}{\rightarrow}S^2}
\def\inst{S^7\stackrel{S^3}{\rightarrow}S^4}
\def\octo{S^{15}\stackrel{S^7}{\rightarrow}S^8} In semilocal theories, the
vacuum manifold is fibered in a non-trivial way by the action of the gauge
group. Here we generalize the original semilocal theory (which was based on the
H... | 1992-09-23 | 2016-09-06 | [
"hep-th",
"hep-ph"
] | Mark Hindmarsh, Richard Holman, Thomas W.Kephart, and Tanmay
Vachaspati |
hep-th/9209090 | Generalised Virasoro Constructions from Affine Inonu-Wigner Contractions | We present a new method to find solutions of the Virasoro master equations
for any affine Lie algebra $\widehat{g}$. The basic idea is to consider first
the simplified case of an In\"on\"u-Wigner contraction $\widehat{g}_c$ of
$\widehat{g}$ and to extend the Virasoro constructions of $\widehat{g}_c$ to
$\widehat{g}$ by... | 1992-09-23 | 2010-04-06 | [
"hep-th"
] | Stany Schrans |
hep-th/9209083 | Correlation Functions in The Itzykson-Zuber Model | The n-point function for the integral over unitary matrices with
Itzykson-Zuber measure is reduced to the integral over Gelfand-Tzetlin table;
integrand (for generic n) is given by linear exponential times rational
function. For $n=2$ and in some cases for $n>2$ later in fact is the polinomial
and this allows to give a... | 1992-09-22 | 2009-10-22 | [
"hep-th"
] | Samson L. Shatashvili |
hep-th/9209077 | On polynomial solutions of differential equations | A general method of obtaining linear differential equations having polynomial
solutions is proposed. The method is based on an equivalence of the spectral
problem for an element of the universal enveloping algebra of some Lie algebra
in the "projectivized" representation possessing an invariant subspace and the
spectra... | 1992-09-22 | 2009-10-22 | [
"hep-th",
"alg-geom",
"funct-an",
"math.AG",
"math.FA"
] | A.Turbiner |
hep-th/9209076 | Lattice Wess-Zumino-Witten Model and Quantum Groups | Quantum groups play a role of symmetries of integrable theories in two
dimensions. They may be detected on the classical level as Poisson-Lie
symmetries of the corresponding phase spaces. We discuss specifically the
Wess-Zumino-Witten conformally invariant quantum field model combining two
chiral parts which describe t... | 1992-09-22 | 2009-10-22 | [
"hep-th"
] | Fernando Falceto and Krzysztof Gawedzki |
hep-th/9209082 | Lie-algebraic approach to the theory of polynomial solutions. III.
Differential equations in two real variables and general outlook | Classification theorems for linear differential equations in two real
variables, possessing eigenfunctions in the form of the polynomials (the
generalized Bochner problem) are given. The main result is based on the
consideration of the eigenvalue problem for a polynomial elements of the
universal enveloping algebras of... | 1992-09-22 | 2016-09-06 | [
"hep-th",
"alg-geom",
"funct-an",
"math.AG",
"math.FA"
] | Alexander Turbiner |
hep-th/9209078 | On the holomorphic factorization for superconformal fields | For a generic value of the central charge, we prove the holomorphic
factorization of partition functions for free superconformal fields which are
defined on a compact Riemann surface without boundary. The partition functions
are viewed as functionals of the Beltrami coefficients and their fermionic
partners which varia... | 1992-09-22 | 2009-10-22 | [
"hep-th"
] | Francois Gieres |
hep-th/9209080 | Lie-algebraic approach to the theory of polynomial solutions. II.
Differential equations in one real and one Grassmann variables and 2x2 matrix
differential equations | A classification theorem for linear differential equations in two variables
(one real and one Grassmann) having polynomial solutions(the generalized
Bochner problem) is given. The main result is based on the consideration of the
eigenvalue problem for a polynomial element of the universal enveloping algebra
of the alge... | 1992-09-22 | 2008-02-03 | [
"hep-th",
"alg-geom",
"funct-an",
"math.AG",
"math.FA"
] | Alexander Turbiner |
hep-th/9209084 | Self-Duality and the KdV Hierarchy | We derive the entire KdV hierarchy as well as the recursion relations from
the self-duality condition on gauge fields in four dimensions. | 1992-09-22 | 2015-06-26 | [
"hep-th"
] | Ashok Das and C.A.P. Galvao |
hep-th/9209085 | Ising Model and $N=2$ Supersymmetric Theories | We establish a direct link between massive Ising model and arbitrary massive
$N=2$ supersymmetric QFT's in two dimensions. This explains why the equations
which appear in the computation of spin-correlations in the non-critical Ising
model are the same as those describing the geometry of vacua in $N=2$ theories.
The ta... | 1992-09-22 | 2009-10-22 | [
"hep-th"
] | S.Cecotti and C.Vafa |
hep-th/9209086 | Quantization of Spinning Particle with Anomalous Magnetic Momentum | A generalization of the pseudoclassical action of a spinning particle in the
presence of an anomalous magnetic moment is given. The leading considerations,
to write the action, are gotten from the path integral representation for the
causal Green's function of the generalized (by Pauli) Dirac equation for the
particle ... | 1992-09-22 | 2010-04-06 | [
"hep-th"
] | D.M.Gitman and A.V.Saa |
hep-th/9209075 | On the generalized Miura transformation | By generalizing the Miura transformation for $\Ww_N$ to other classical $\Ww$
algebras obtained by hamiltonian reduction, we find realisations of these
algebras in terms of relatively simple non-abelian current algebras, e.g.
$\widehat{sl(2)}\times \widehat{u(1)}^N$, generalizing the free field
realisation of $\Ww_N$. ... | 1992-09-22 | 2011-07-19 | [
"hep-th"
] | Alex Deckmyn |
hep-th/9209079 | Lie-algebraic approach to the theory of polynomial solutions. I.
Ordinary differential equations and finite-difference equations in one
variable | A classification of ordinary differential equations and finite-difference
equations in one variable having polynomial solutions (the generalized Bochner
problem) is given. The method used is based on the spectral problem for a
polynomial element of the universal enveloping algebra of $sl_2({\bf R})$ (for
differential e... | 1992-09-22 | 2008-02-03 | [
"hep-th",
"alg-geom",
"funct-an",
"math.AG",
"math.FA"
] | Alexander Turbiner |
hep-th/9209081 | Non-Perturbative Effects in 2-D String Theory or Beyond the Liouville
Wall | We discuss continuous and discrete sectors in the collective field theory of
$d=1$ matrix models. A canonical Lorentz invariant field theory extension of
collective field theory is presented and its classical solutions in Euclidean
and Minkowski space are found. We show that the discrete, low density, sector
of collect... | 1992-09-22 | 2015-06-26 | [
"hep-th"
] | R. Brustein and B. Ovrut |
hep-th/9209073 | Reidemeister torsion, the Alexander polynomial and $U(1,1)$ Chern-Simons
theory | We show that the $U(1,1)$ (super) Chern Simons theory is one loop exact. This
provides a direct proof of the relation between the Alexander polynomial and
analytic and Reidemeister torsion. We then proceed to compute explicitely the
torsions of Lens spaces and Seifert manifolds using surgery and the $S$ and $T$
matrice... | 1992-09-21 | 2014-11-18 | [
"hep-th",
"math.QA"
] | Lev Rozansky, Herbert Saleur |
hep-th/9209074 | Pair Correlator in the Itzykson-Zuber Integral | An explicit expression is suggested for the average
$<U_{ij}U_{kl}^{\dagger}>$ over the unitary group $SU(N)$ with the
Itzykson-Zuber measure $[dU] \exp {\rm tr} \Phi U\Psi U^{\dagger}$ | 1992-09-21 | 2009-10-22 | [
"hep-th"
] | A. Morozov |
hep-th/9209072 | BRS and Anti-BRS Symmetry in Topological Yang--Mills Theory | We incorporate both BRS symmetry and anti-BRS symmetry into the quantisation
of topological Yang--Mills theory. This refines previous treatments which
consider only the BRS symmetry. Our formalism brings out very clearly the
geometrical meaning of topological Yang--Mills theory in terms of connections
and curvatures in... | 1992-09-21 | 2009-10-22 | [
"hep-th"
] | Malcolm J. Perry and Edward Teo |
hep-th/9209069 | Quantum theory of non-abelian differential forms and link polynomials | A topological quantum field theory of non-abelian differential forms is
investigated from the point of view of its possible applications to description
of polynomial invariants of higher-dimensional two-component links. A
path-integral representation of the partition function of the theory, which is
a highly on-shell r... | 1992-09-19 | 2009-10-22 | [
"hep-th",
"alg-geom",
"gr-qc",
"math.QA"
] | B. Broda |
hep-th/9209070 | Black Holes with a Massive Dilaton | The modifications of dilaton black holes which result when the dilaton
acquires a mass are investigated. We derive some general constraints on the
number of horizons of the black hole and argue that if the product of the black
hole charge $Q$ and the dilaton mass $m$ satisfies $Q m < O(1)$ then the black
hole has only ... | 1992-09-19 | 2009-10-22 | [
"hep-th",
"gr-qc"
] | R. Gregory and J. A. Harvey |
hep-th/9209071 | Coset Models in Monopole Backgrounds | We study a fermionic coset model $G/H$ when the subgroup $H$ is not simply
connected. We show that even when the fermionic zero modes impose selection
rules which alters the values of the correlators, the Virasoro central charge
of the theory results independent of the topological sector. | 1992-09-19 | 2007-05-23 | [
"hep-th"
] | Enrique F. Moreno |
hep-th/9209064 | Quantum Dilaton Gravity in the Light-cone Gauge | Recently, models of two-dimensional dilaton gravity have been shown to admit
classical black-hole solutions that exhibit Hawking radiation at the
semi-classical level. These classical and semi-classical analyses have been
performed in conformal gauge. We show in this paper that a similar analysis in
the light--cone gau... | 1992-09-18 | 2010-11-01 | [
"hep-th"
] | Xiang Shen |
hep-th/9209065 | Realisations of $W_3$ Symmetry | We perform a systematic investigation of free-scalar realisations of the
Za\-mo\-lod\-chi\-kov $W_3$ algebra in which the operator product of two
spin-three generators contains a non-zero operator of spin four which has
vanishing norm. This generalises earlier work where such an operator was
required to be absent. By a... | 1992-09-18 | 2009-10-22 | [
"hep-th"
] | E. Bergshoeff, H.J. Boonstra and M. de Roo |
hep-th/9209066 | An Anyon Primer | In this set of lectures, we give a pedagogical introduction to the subject of
anyons. We discuss 1) basic concepts in anyon physics, 2) quantum mechanics of
two anyon systems, 3) statistical mechanics of many anyon systems, 4) mean
field approach to many anyon systems and anyon superconductivity, 5) anyons in
field the... | 1992-09-18 | 2008-02-03 | [
"hep-th",
"cond-mat"
] | Sumathi Rao |
hep-th/9209068 | Hidden Isometry in a Chiral Gauged WZW Model | It is shown that the asymmetric chiral gauging of the WZW models give rise to
consistent string backgrounds. The target space structure of the ${[{SL(2,\Re)/
{SO(1,1)}}]}_L \bigotimes {[{SL(2,\Re)/U(1)}]}_R$ model is analyzed and the
presence of a hidden isometry in this background is demonstrated. A nonlinear
coordina... | 1992-09-18 | 2007-05-23 | [
"hep-th"
] | Supriya Kar, Alok Kumar and Gautam Sengupta |
hep-th/9209067 | A Note on Representations of the $w_\infty$ Algebra | We explicitly demonstrate that the unitary representations of the $w_\infty$
algebra and its truncations are just the unitary representations of the
Virasoro algebra. | 1992-09-18 | 2007-05-23 | [
"hep-th"
] | C.N. Pope and X.J. Wang |
hep-th/9209061 | Rational Conformal Field Theory and Multi-Wormhole Partition Function in
3-dimensional Gravity | We study the Turaev-Viro invariant as the Euclidean Chern-Simons-Witten
gravity partition function with positive cosmological constant. After
explaining why it can be identified as the partition function of 3-dimensional
gravity, we show that the initial data of the TV invariant can be constructed
from the duality data... | 1992-09-17 | 2015-06-26 | [
"hep-th"
] | Shun'ya Mizoguchi |
hep-th/9209060 | Quantum Groups, $q$-Oscillators and Covariant Algebras | The physical interpretation of the main notions of the quantum group theory
(coproduct, representations and corepresentations, action and coaction) is
discussed using the simplest examples of $q$-deformed objects (quantum group
$F_q(GL(2))$, quantum algebra $sl_q(2)$, $q$-oscillator and $F_q$-covariant
algebra.) Approp... | 1992-09-17 | 2009-10-22 | [
"hep-th",
"math.QA"
] | P. P. Kulish |
hep-th/9209062 | Hamiltonian BRST-anti-BRST Theory | The hamiltonian BRST-anti-BRST theory is developed in the general case of
arbitrary reducible first class systems. This is done by extending the methods
of homological perturbation theory, originally based on the use of a single
resolution, to the case of a biresolution. The BRST and the anti-BRST
generators are shown ... | 1992-09-17 | 2009-10-22 | [
"hep-th"
] | Philippe Gregoire and Marc Henneaux |
hep-th/9209063 | Differential cross-sections and escape plots for low energy $SU(2)$ BPS
magnetic monopole dynamics | We compute the low-energy classical differential scattering cross-section for
BPS $SU(2)$ magnetic monopoles using the geodesic approximation to the actual
dynamics and 16K parallel processors on a CM2. Numerical experiments suggest
that the quantum BPS magnetic monopole differential cross-section is
well-approximated ... | 1992-09-17 | 2009-10-22 | [
"hep-th"
] | M. Temple-Raston and D. Alexander |
hep-th/9209057 | Scattering States and Symmetries in the Matrix Model and Two Dimensional
String Theory | We study the correspondence between the linear matrix model and the
interacting nonlinear string theory. Starting from the simple matrix harmonic
oscillator states, we derive in a direct way scattering amplitudes of
2-dimensional strings, exhibiting the nonlinear equation generating arbitrary
N-point tree amplitudes. A... | 1992-09-16 | 2007-05-23 | [
"hep-th"
] | A. Jevicki, J. P. Rodrigues, A. J. van Tonder (Brown) |
hep-th/9209054 | Algebraic Structures Related to Reflection Equations | Quadratic algebras related to the reflection equations are introduced. They
are quantum group comodule algebras. The quantum group $F_q(GL(2))$ is taken as
the example. The properties of the algebras (center, representations,
realizations, real forms, fusion procedure etc) as well as the generalizations
are discussed. | 1992-09-16 | 2014-11-18 | [
"hep-th",
"math.QA",
"nlin.SI",
"solv-int"
] | P. P. Kulish, E. K. Sklyanin |
hep-th/9209055 | Quantum Aspects of Black Holes | This review is based on lectures given at the 1992 Trieste Spring School on
String Theory and Quantum Gravity and at the 1992 TASI Summer School in
Boulder, Colorado. | 1992-09-16 | 2009-09-25 | [
"hep-th",
"gr-qc"
] | J. A. Harvey and A. Strominger |
hep-th/9209059 | Nondiagonal $CP_m$ Coset Models and their Poincar\'E Polynomials | $N=2$ coset models of the type $SU(m+1)/SU(m)\times U(1)$ with nondiagonal
modular invariants for both $SU(m+1)$ and $SU(m)$ are considered. Poincar\'e
polynomials of the corresponding chiral rings of these algebras are
constructed. They are used to compute the number of chiral generations of the
associated string comp... | 1992-09-16 | 2009-03-27 | [
"hep-th"
] | G. Aldazabal, I. Allekotte, E. Andr\'es and C. N\'u\~nez |
hep-th/9209058 | Do Black Holes Destroy Information? | I review the information loss paradox that was first formulated by Hawking,
and discuss possible ways of resolving it. All proposed solutions have serious
drawbacks. I conclude that the information loss paradox may well presage a
revolution in fundamental physics. (To appear in the proceedings of the
International Symp... | 1992-09-16 | 2007-05-23 | [
"hep-th",
"gr-qc"
] | John Preskill |
hep-th/9209056 | Tree Amplitudes in Noncritical $N=2$ Strings | Recent results for tree amplitudes for the $N=2$ noncritical strings are
presented and compared with the critical case. Arguments are given which
indicate a certain discontinuity in passing from the $\hat c < 1$ model (in a
Coulomb gas representation) to the $\hat c = 1$ critical case. | 1992-09-16 | 2008-02-03 | [
"hep-th"
] | D. Dalmazi |
hep-th/9209052 | Boosting Away Singularities from Conformal String Backgrounds | Generalizing our previous work, we show how $O(d,d)$ transformations can be
used to "boost away" in new dimensions the physical singularities that occur
generically in cosmological and/or black-hole string backgrounds. As an
example, we show how a recent model by Nappi and Witten can be made
singularity-free via $O(3,3... | 1992-09-15 | 2009-10-22 | [
"hep-th"
] | M. Gasperini, J. Maharana, G. Veneziano |
hep-th/9209053 | Optimal Hypercontractivity for Fermi Fields and Related Non-Commutative
Integration | Optimal hypercontractivity bounds for the fermion oscillator semigroup are
obtained. These are the fermion analogs of the optimal hypercontractivity
bounds for the boson oscillator semigroup obtained by Nelson. In the process,
several results of independent interest in the theory of non-commutative
integration are esta... | 1992-09-15 | 2009-10-22 | [
"hep-th"
] | Eric Carlen and Elliott Lieb |
hep-th/9209051 | On Physical States in c<1 String Theory | The BRST cohomology analysis of Lian and Zuckerman leads to physical states
at all ghost number for $c<1$ matter coupled to Liouville gravity. We show how
these states are related to states at ghost numbers zero(pure vertex operator
states -- DK states) and ghost number one(ring elements) by means of descent
equations.... | 1992-09-15 | 2007-05-23 | [
"hep-th"
] | S. Govindarajan |
hep-th/9209049 | String Spectrum of 1+1-Dimensional Large N QCD with Adjoint Matter | We propose gauging matrix models of string theory to eliminate unwanted
non-singlet states. To this end we perform a discretised light-cone
quantisation of large N gauge theory in 1+1 dimensions, with scalar or
fermionic matter fields transforming in the adjoint representation of SU(N).
The entire spectrum consists of ... | 1992-09-14 | 2013-11-13 | [
"hep-th",
"hep-lat"
] | S.Dalley and I.Klebanov |
hep-th/9209045 | Stringy Instantons | A canonical Lorentz invariant field theory extension of collective field
theory of d=1 matrix models is presented.
We show that the low density, discrete, sector of collective field theory
includes single eigenvalue Euclidean instantons which tunnel between different
vacua of the extended theory. These "stringy" inst... | 1992-09-14 | 2009-10-22 | [
"hep-th"
] | Ram Brustein and Burt Ovrut |
hep-th/9209050 | Extrinsic Geometry Sensitive Bosonic String Theory | A modified rigid string theory with infrared behaviour governed by a
nontrivial fixed point is presented. | 1992-09-14 | 2011-04-20 | [
"hep-th"
] | Al. R. Kavalov |
hep-th/9209044 | Gravity in Non-Commutative Geometry | We study general relativity in the framework of non-commutative differential
geometry. In particular, we introduce a gravity action for a space-time which
is the product of a four dimensional manifold by a two-point space. In the
simplest situation, where the Riemannian metric is taken to be the same on the
two copies ... | 1992-09-14 | 2008-11-26 | [
"hep-th",
"gr-qc"
] | A. H. Chamseddine, G. Felder, and J. Fr\"ohlich |
hep-th/9209046 | Conformal Turbulence | We describe conformal field theories, correlation functions of which satisfy
equations of the two-dimensional fluid mechanics. Prediction for the energy
spectrum is given, $E(k) \sim k^{-25/7}$. | 1992-09-14 | 2007-05-23 | [
"hep-th"
] | A. Polyakov |
hep-th/9209048 | Locality and Integration in Topological Field Theory | This paper is an expanded version of a talk given at the XIX International
Colloquium on Group Theoretical Methods in Physics, Salamanca, July, 1992.
We discuss the geometry of topological terms in classical actions, which by
themselves form the actions of topological field theories. We first treat the
Chern-Simons a... | 1992-09-14 | 2007-05-23 | [
"hep-th"
] | Daniel S. Freed |
hep-th/9209047 | Exact String Solutions in 2+1-Dimensional De Sitter Spacetime | Exact and explicit string solutions in de Sitter spacetime are found. (Here,
the string equations reduce to a sinh-Gordon model). A new feature without flat
spacetime analogy appears: starting with a single world-sheet, several (here
two) strings emerge. One string is stable and the other (unstable) grows as the
univer... | 1992-09-14 | 2009-10-22 | [
"hep-th",
"astro-ph",
"gr-qc"
] | H.J. de Vega, A. V. Mikhailov and N. Sanchez |
hep-th/9209041 | Matrix models without scaling limit | In the context of hermitean one--matrix models we show that the emergence of
the NLS hierarchy and of its reduction, the KdV hierarchy, is an exact result
of the lattice characterizing the matrix model. Said otherwise, we are not
obliged to take a continuum limit to find these hierarchies. We interpret this
result as a... | 1992-09-13 | 2009-10-22 | [
"hep-th"
] | L.Bonora and C.S.Xiong |
hep-th/9209043 | WZW Commutants, Lattices, and Level 1 Partition Functions | A natural first step in the classification of all `physical' modular
invariant partition functions $\sum N_{LR}\,\c_L\,\C_R$ lies in understanding
the commutant of the modular matrices $S$ and $T$. We begin this paper
extending the work of Bauer and Itzykson on the commutant from the $SU(N)$ case
they consider to the c... | 1992-09-13 | 2009-10-22 | [
"hep-th"
] | Terry Gannon |
hep-th/9209042 | Partition Functions for Heterotic WZW Conformal Field Theories | Thus far in the search for, and classification of, `physical' modular
invariant partition functions $\sum N_{LR}\,\c_L\,\C_R$ the attention has been
focused on the {\it symmetric} case where the holomorphic and anti-holomorphic
sectors, and hence the characters $\c_L$ and $\c_R$, are associated with the
same Kac-Moody ... | 1992-09-13 | 2009-10-22 | [
"hep-th"
] | Terry Gannon |
hep-th/9209040 | Integrable Systems and Classification of 2-dimensional Topological Field
Theories | Misprints in the definition of semiclassical tau-function and in the formulae
(3.40b) and (4.20) are corrected. | 1992-09-12 | 2008-02-03 | [
"hep-th",
"alg-geom",
"math.AG"
] | B.Dubrovin |
hep-th/9209036 | Interacting Theory of Collective and Topological Fields in 2 Dimensions | We propose a generalization of the collective field theory hamiltonian,
including interactions between the original bosonic collective field $w_0 (z)$
and supplementary fields ${\bar w}_j (z)$ realizing classically a $w_\infty$
algebra. The latter are then shown to represent a 3--dimensional topological
field theory. T... | 1992-09-11 | 2009-10-22 | [
"hep-th"
] | J. Avan, and A. Jevicki |
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