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 |
|---|---|---|---|---|---|---|
hep-th/9402078 | Quantum fluctuations of the electroweak sphaleron: Erratum and Addendum | We correct an error in our treatment of the tadpole contribution to the
fluctuation determinant of the sphaleron, and also a minor mistake in a
previous estimate. Thereby the overall agreement between the two existing exact
computations and their consistency with the estimate is improved considerably. | 1994-02-14 | 2009-10-28 | [
"hep-th",
"hep-ph"
] | J. Baacke and S. Junker |
hep-th/9402077 | Flow Equations and BRS Invariance for Yang-Mills Theories | Flow equations describe the evolution of the effective action $\Gamma_k$ in
the process of varying an infrared cutoff $k$. The presence of the infrared
cutoff explicitly breaks gauge and hence BRS invariance. We derive modified
Slavnov-Taylor identities, which are valid for nonvanishing $k$. They guarantee
the BRS inva... | 1994-02-14 | 2009-10-28 | [
"hep-th",
"hep-ph"
] | Ulrich Ellwanger |
hep-th/9402073 | Exact Supersymmetric String Solutions in Curved Gravitational
Backgrounds | We construct a new class of exact and stable superstring solutions based on
$N=4$ superconformal world-sheet symmetry. In a subclass of these, the full
spectrum of string excitations is derived in a modular-invariant way. In the
weak curvature limit, our solutions describe a target space with non-trivial
metric and top... | 1994-02-14 | 2009-10-28 | [
"hep-th",
"gr-qc"
] | I. Antoniadis, S. Ferrara and C. Kounnas |
hep-th/9402069 | Symmetries of quantum spaces. Subgroups and quotient spaces of quantum
$SU(2)$ and $SO(3)$ groups | We prove that each action of a compact matrix quantum group on a compact
quantum space can be decomposed into irreducible representations of the group.
We give the formula for the corresponding multiplicities in the case of the
quotient quantum spaces. We describe the subgroups and the quotient spaces of
quantum SU(2) ... | 1994-02-11 | 2009-10-28 | [
"hep-th",
"math.OA",
"math.QA"
] | Piotr Podle\'s |
hep-th/9402070 | The Differential Calculus on Quantum Linear Groups | The non-commutative differential calculus on the quantum groups $SL_q(N)$ is
constructed. The quantum external algebra proposed contains the same number of
generators as in the classical case. The exterior derivative defined in the
constructive way obeys the modified version of the Leibnitz rules. | 1994-02-11 | 2008-02-03 | [
"hep-th",
"math.QA"
] | L. D. Faddeev and P. N. Pyatov |
hep-th/9402068 | Spacetime locality of the antifield formalism : a "mise au point" | Some general techniques and theorems on the spacetime locality of the
antifield formalism are illustrated in the familiar cases of the free scalar
field, electromagnetism and Yang-Mills theory. The analysis explicitly shows
that recent criticisms of the usual approach to dealing with locality are
ill-founded. | 1994-02-11 | 2007-05-23 | [
"hep-th"
] | M. Henneaux |
hep-th/9402071 | The Real Test of ``Triviality'' on the Lattice | The generally accepted ``triviality'' of $\lambda\Phi^4$ theories does not
forbid Spontaneous Symmetry Breaking but implies a trivially free shifted field
which becomes effectively governed by a quadratic hamiltonian. As a
consequence, one expects the one-loop potential to be exact . We present a
lattice computation of... | 1994-02-11 | 2007-05-23 | [
"hep-th",
"hep-lat",
"hep-ph"
] | A. Agodi, G. Andronico and M. Consoli |
hep-th/9402067 | Coadditive differential complexes on quantum groups and quantum spaces | A regular way to define an additive coproduct (or ``coaddition'') on the
q-deformed differential complexes is proposed for quantum groups and quantum
spaces related to the Hecke-type R-matrices. Several examples of braided
coadditive differential bialgebras (Hopf algebras) are presented. | 1994-02-11 | 2009-10-28 | [
"hep-th",
"math.QA"
] | A. A. Vladimirov |
hep-th/9402072 | Goldstone Bosons in a Finite Volume: The Partition Function to Three
Loops | A system of Goldstone bosons - stemming from a symmetry breaking $O(N) \to
O(N-1)$ - in a finite volume at finite temperature is considered. In the
framework of dimensional regularization, the partition function is calculated
to 3 loops for 3 and 4 dimensions, where Polyakov's measure for the functional
integration is ... | 1994-02-11 | 2009-09-25 | [
"hep-th",
"hep-lat",
"nucl-th"
] | W. Bietenholz |
hep-th/9402061 | Integrable Perturbations of $W_n$ and WZW Models | We present a new class of 2d integrable models obtained as perturbations of
minimal CFT with W-symmetry by fundamental weight primaries. These models are
generalisations of well known $(1,2)$-perturbed Virasoro minimal models. In the
large $p$ (number of minimal model) limit they coincide with scalar
perturbations of W... | 1994-02-10 | 2009-10-28 | [
"hep-th"
] | Igor Vaysburd |
hep-th/9402058 | Infinite Abelian Subalgebras in Quantum W-Algebras: An Elementary Proof | An elementary proof is given for the existence of infinite dimensional
abelian subalgebras in quantum W-algebras. In suitable realizations these
subalgebras define the conserved charges of various quantum integrable systems.
We consider all principle W-algebras associated with the simple Lie algebras.
The proof is base... | 1994-02-10 | 2008-02-03 | [
"hep-th",
"math.QA"
] | M. R. Niedermaier |
hep-th/9402063 | A bigraded version of the Weil algebra and of the Weil homomorphism for
Donaldson invariants | We describe a bigraded generalization of the Weil algebra, of its basis and
of the characteristic homomorphism which besides ordinary characteristic
classes also maps on Donaldson invariants. | 1994-02-10 | 2009-10-28 | [
"hep-th",
"alg-geom",
"math.AG"
] | Michel Dubois-Violette |
hep-th/9402064 | The $N=2$ Super-$W_3^{(2)}$ Algebra | We construct the nonlinear $N=2$ super-$W_3^{(2)}$ algebra with an arbitrary
central charge at the classical level in the framework of Polyakov "soldering"
procedure. It contains two non-intersecting subalgebras: $N=2$ superconformal
algebra and $W_3^{(2)}$ and their closure gives the $N=2$ super-$W_3^{(2)}$
algebra. B... | 1994-02-10 | 2007-05-23 | [
"hep-th"
] | S.Krivonos and A.Sorin |
hep-th/9402060 | Quantum group covariant noncommutative geometry | The algebraic formulation of the quantum group covariant noncommutative
geometry in the framework of the $R$-matrix approach to the theory of quantum
groups is given. We consider structure groups taking values in the quantum
groups and introduce the notion of the noncommutative connections and
curvatures transformed as... | 1994-02-10 | 2011-04-15 | [
"hep-th",
"math.QA"
] | A. P. Isaev |
hep-th/9402066 | Instantons and fermion condensate in adjoint QCD_2 | We show that $QCD_2$ with adjoint fermions involves instantons due to
nontrivial $\pi_1[SU(N)/Z_N]~=~Z_N$. At high temperatures, quasiclassical
approximation works and the action and the form of effective (with account of
quantum corrections) instanton solution can be evaluated. Instanton presents a
localized configura... | 1994-02-10 | 2009-09-25 | [
"hep-th"
] | A.V.Smilga |
hep-th/9402062 | Some Remarks on Quantum Coherence | There are many striking phenomena which are attributed to
``quantum coherence''. It is natural to wonder if there are new quantum
coherence effects waiting to be discovered which could lead to interesting
results and perhaps even practical applications. A useful starting point for
such discussions is a definition of ... | 1994-02-10 | 2009-10-28 | [
"hep-th",
"astro-ph",
"gr-qc"
] | Andreas Albrecht |
hep-th/9402056 | On the Supersymmetric BKP-Hierarchy | We prove that the supersymmetric BKP-hierarchy of Yu (SBKP_2) is hamiltonian
with respect to a nonlinear extension of the N=1 Super-Virasoro algebra
(W_SBKP) by fields of spin k, where k>3/2 and 2k = 0,3 mod 4. Moreover, we show
how to associate in a similar manner an N=1 W-superalgebra with every
integrable hierarchy ... | 1994-02-10 | 2009-10-28 | [
"hep-th"
] | Eduardo Ramos and Sonia Stanciu |
hep-th/9402065 | Solutions of the Spherically Symmetric Wave Equation in $p+q$ Dimensions | We discuss solutions of the spherically symmetric wave equation and Klein
Gordon equation in an arbitrary number of spatial and temporal dimensions.
Starting from a given solution, we present various procedures to generate
futher solutions in the same or in different dimensions. The transition from
odd to even or non i... | 1994-02-10 | 2010-11-19 | [
"hep-th",
"gr-qc"
] | W. Bietenholz, J.J. Giambiagi |
hep-th/9402047 | Gauge theory and Higgs mechanism based on differential geometry on
discrete space M4 * ZN | Weinberg-Salam theory and $SU(5)$ grand unified theory are reconstructed
using the generalized differential calculus extended on the discrete space
$M_4\times Z_{\mathop{}_{N}}$. Our starting point is the generalized gauge
field expressed by $A(x,n)=\!\sum_{i}a^\dagger_{i}(x,n){\bf d}a_i(x,n),
(n=1,2,\cdots N)$, where ... | 1994-02-09 | 2009-10-28 | [
"hep-th"
] | Yoshitaka Okumura |
hep-th/9402054 | Monodromy Map and Classical r-matrices | We compute the Poisson bracket relations for the monodromy matrix of the
auxiliary linear problem. If the basic Poisson bracket relations of the model
contain derivatives, this computation leads to a peculiar type of symmetry
breaking which accounts for a 'spontaneous quantization of the underlying
global gauge group. ... | 1994-02-09 | 2008-02-03 | [
"hep-th",
"math.QA"
] | M. A. Semenov-Tian-Shansky |
hep-th/9402045 | Deriving Boundary S Matrices | We show how to derive exact boundary $S$ matrices for integrable quantum
field theories in 1+1 dimensions using lattice regularization. We do this
calculation explicitly for the sine-Gordon model with fixed boundary conditions
using the Bethe ansatz for an XXZ-type spin chain in a boundary magnetic field.
Our results a... | 1994-02-09 | 2009-10-28 | [
"hep-th"
] | P. Fendley and H. Saleur |
hep-th/9402048 | Standard Model in Differential Geometry on Discrete Space M4*Z3 | Standard model is reconstructed using the generalized differential calculus
extended on the discrete space $M_4\times Z_3$. $Z_3$ is necessary for the
inclusion of strong interaction. Our starting point is the generalized gauge
field expressed as $A(x,y)=\!\sum_{i}a^\dagger_{i}(x,y){\bf d}a_i(x,y),
(y=0,\pm)$, where $a... | 1994-02-09 | 2009-10-28 | [
"hep-th"
] | Yoshitaka Okumura |
hep-th/9402051 | Extended reflection equation algebras, the braid group on a handlebody
and associated link polynomials | The correspondence of the braid group on a handlebody of arbitrary genus to
the algebra of Yang-Baxter and extended reflection equation operators is shown.
Representations of the infinite dimensional extended reflection equation
algebra in terms of direct products of quantum algebra generators are derived,
they lead to... | 1994-02-09 | 2009-10-28 | [
"hep-th",
"math.QA"
] | C. Schwiebert |
hep-th/9402059 | Comment on ``Anyon in an External Eletromagnetic Field: Hamiltonian and
Lagrangian Formulations'' | We comment on a recent paper by Chaichian et al. (Phys.Rev.Lett.
71(1993)3405). | 1994-02-09 | 2007-05-23 | [
"hep-th"
] | D.Dalmazi and A.de Souza Dutra |
hep-th/9402055 | Canonical Commutation Relations in The Schwinger Model | We give the first operator solution of the Schwinger model that obeys the
canonical commutation relations in a covariant guage. | 1994-02-09 | 2009-10-28 | [
"hep-th",
"hep-ph"
] | Gil Gat and O.W. Greenberg |
hep-th/9402052 | Multi-spin systems on a randomly triangulated surface | We consider a class of spin systems on randomly triangulated surfaces as
discrete approximations to conformal matter fields coupled to 2d gravity. On
the basis of certain universality assumptions we argue that at critical points
with diverging string susceptibility the model either exhibits mean field
behaviour or it c... | 1994-02-09 | 2009-10-28 | [
"hep-th"
] | B. Durhuus |
hep-th/9402057 | Non-Abelian Chern-Simons Particles and their Quantization | A many--body Schr\"odinger equation for non--Abelian Chern--Simons particles
is obtained from both point--particle and field--theoretic pictures. We present
a particle Lagrangian and a field theoretic Lagrange density, and discuss their
properties. Both are quantized by the symplectic method of Hamiltonian
reduction. A... | 1994-02-09 | 2014-11-18 | [
"hep-th"
] | Dongsu Bak, R. Jackiw and So-Young Pi |
hep-th/9402053 | Scalar Kinks | We determine the excitations and $S$ matrix of an integrable isotropic
antiferromagnetic quantum spin chain of alternating spin 1/2 and spin 1. There
are two types of gapless one-particle excitations: the usual spin 1/2
(``spinor'') kink, and a new spin 0 (``scalar'') kink. Remarkably, the
scalar-spinor scattering is n... | 1994-02-09 | 2015-06-26 | [
"hep-th",
"cond-mat"
] | H.J. de Vega, Luca Mezincescu and Rafael I. Nepomechie |
hep-th/9402049 | BPS Dyon in a Weak Electromagnetic Field: Equations of Motion and
Radiation Fields | Dynamics of a BPS dyon in a weak, constant, electromagnetic field is studied
through a perturbative analysis of appropriate non-linear field equations. The
full Lorentz force law for a BPS dyon is established. Also derived are the
radiation fields accompanying the motion. | 1994-02-09 | 2009-10-28 | [
"hep-th"
] | Dongsu Bak and Choonkyu Lee |
hep-th/9402050 | Scaling Dimensions of Manifestly Generally Covariant Operators in
Two-Dimensional Quantum Gravity | Using (2+$\epsilon$)-dimensional quantum gravity recently formulated by
Kawai, Kitazawa and Ninomiya, we calculate the scaling dimensions of manifestly
generally covariant operators in two-dimensional quantum gravity coupled to
$(p,q)$ minimal conformal matter. Although the spectrum includes all the
scaling dimensions ... | 1994-02-09 | 2009-10-28 | [
"hep-th"
] | Jun Nishimura, Shinya Tamura and Asato Tsuchiya |
hep-th/9402038 | Deformed Coset Models From Gauged WZW Actions | A general Lagrangian formulation of integrably deformed G/H-coset models is
given. We consider the G/H-coset model in terms of the gauged
Wess-Zumino-Witten action and obtain an integrable deformation by adding a
potential energy term $Tr(gTg^{-1}\Tb )$, where algebra elements $T, \Tb $
belong to the center of the alge... | 1994-02-08 | 2009-10-28 | [
"hep-th"
] | Q-Han Park |
hep-th/9402046 | Gravity and Electromagnetism in Noncommutative Geometry | We present a unified description of gravity and electromagnetism in the
framework of a $Z_2$ noncommutative differential calculus. It can be considered
as a ``discrete version" of Kaluza-Klein theory, where the fifth continuous
dimension is replaced by two discrete points. We derive an action which
coincides with the d... | 1994-02-08 | 2009-10-28 | [
"hep-th",
"gr-qc"
] | Giovanni Landi, Nguyen Ai Viet, Kameshwar C.Wali |
hep-th/9402042 | Toward the Universal Theory of Strings | We show that the $N=2$ superstrings may be viewed as a special class of the
$N=4$ superstrings and demonstrate their equivalence. This allows us to realize
all known string theories based on linear algebras and with $N<4$
supersymmetries as special choices of the vacua in the $N=4$ superstring. | 1994-02-08 | 2009-10-28 | [
"hep-th"
] | Fiorenzo Bastianelli, Nobuyoshi Ohta and Jens Lyng Petersen |
hep-th/9402039 | Quasi-rational fusion products | Fusion is defined for arbitrary lowest weight representations of
$W$-algebras, without assuming rationality. Explicit algorithms are given. A
category of quasirational representations is defined and shown to be stable
under fusion. Conjecturally, it may coincide with the category of
representations of finite quantum di... | 1994-02-08 | 2011-07-18 | [
"hep-th"
] | Werner Nahm |
hep-th/9402043 | A Dynamical System Connected with Inhomogeneous 6-Vertex Model | A completely integrable dynamical system in discrete time is studied by means
of algebraic geometry. The system is associated with factorization of a linear
operator acting in a direct sum of three linear spaces into a product of three
operators, each acting nontrivially only in a direct sum of two spaces, and the
foll... | 1994-02-08 | 2008-02-03 | [
"hep-th",
"nlin.SI",
"solv-int"
] | I. G. Korepanov |
hep-th/9402041 | On the Duistermaat-Heckman Integration Formula And Integrable Models | In this article we review the Duistermaat-Heckman integration formula and the
ensuing equivariant cohomology structure, in the finite dimensional case. In
particular, we discuss the connection between equivariant cohomology and
classical integrability. We also explain how the integration formula is
derived, and explore... | 1994-02-08 | 2008-02-03 | [
"hep-th",
"math.QA",
"nlin.SI",
"solv-int"
] | T. Karki and A. J. Niemi |
hep-th/9402040 | Racah Sum Rule and Biedenharn-Elliott Identity for the Super-Rotation
$6-j$ symbols | It is shown that the well known Racah sum rule and Biedenharn-Elliott
identity satisfied by the recoupling coefficients or by the $6-j$ symbols of
the usual rotation $SO(3)$ algebra can be extended to the corresponding
features of the super-rotation $osp(1|2)$ superalgebra. The structure of the
sum rules is completely ... | 1994-02-08 | 2009-10-28 | [
"hep-th",
"math.QA"
] | Pierre Minnaert and Stoyan Toshev |
hep-th/9402044 | Exact Results on the Space of Vacua of Four Dimensional SUSY Gauge
Theories | We consider four dimensional quantum field theories which have a continuous
manifold of inequivalent exact ground states -- a moduli space of vacua.
Classically, the singular points on the moduli space are associated with extra
massless particles. Quantum mechanically these singularities can be smoothed
out. Alternativ... | 1994-02-08 | 2009-09-15 | [
"hep-th",
"hep-ph"
] | Nathan Seiberg |
hep-th/9402037 | Algebraic {$q$}-Integration and Fourier Theory on Quantum and Braided
Spaces | We introduce an algebraic theory of integration on quantum planes and other
braided spaces. In the one dimensional case we obtain a novel picture of the
Jackson $q$-integral as indefinite integration on the braided group of
functions in one variable $x$. Here $x$ is treated with braid statistics $q$
rather than the usu... | 1994-02-07 | 2009-10-28 | [
"hep-th",
"math.QA"
] | A. Kempf and Shahn Majid |
hep-th/9402033 | The Lagrangian of q-Poincare' Gravity | The gauging of the q-Poincar\'e algebra of ref. hep-th 9312179 yields a
non-commutative generalization of the Einstein-Cartan lagrangian. We prove its
invariance under local q-Lorentz rotations and, up to a total derivative, under
q-diffeomorphisms. The variations of the fields are given by their q-Lie
derivative, in a... | 1994-02-07 | 2009-10-28 | [
"hep-th",
"gr-qc"
] | Leonardo Castellani |
hep-th/9402032 | Dyon - Monopole Bound States, Self-Dual Harmonic Forms on the
Multi-Monopole Moduli Space, and SL(2,Z) Invariance in String Theory | Existence of SL(2,Z) duality in toroidally compactified heterotic string
theory (or in the N=4 supersymmetric gauge theories), that includes the strong
weak coupling duality transformation, implies the existence of certain
supersymmetric bound states of monopoles and dyons. We show that the existence
of these bound sta... | 1994-02-07 | 2009-09-15 | [
"hep-th"
] | Ashoke Sen |
hep-th/9402036 | Avoidance of Classical Singularities in Quantized Gravitational Dust
Systems | We use the canonical quantization of spherically symetric dust universes, and
calculate the expectation value of the quantized metric, $<\Psi|\hat{g}|\Psi>$.
Though the classical solutions are singular, and the wave functions have no
zero support on singular geometries, the expectation values are everywhere
regular. Fo... | 1994-02-07 | 2007-05-23 | [
"hep-th",
"gr-qc"
] | Yoav Peleg |
hep-th/9402034 | Continuous Local Symmetry in Ising-type Models | A class of generalized Ising models is examined with a view to extracting a
low energy sector comprising
Dirac fermions coupled to Yang-Mills vectors. The main feature of this
approach is a set of gap equations, covariant with respect to one of the
$4$-dimensional crystallographic space groups. | 1994-02-07 | 2009-10-28 | [
"hep-th"
] | S. Randjbar-Daemi and J. Strathdee |
hep-th/9402035 | Nonsemisimple Sugawara Constructions | By a Sugawara construction we mean a generalized Virasoro construction in
which the currents are primary fields of conformal weight one. For simple Lie
algebras, this singles out the standard Sugawara construction out of all the
solutions to the Virasoro master equation. Examples of nonsemisimple Sugawara
constructions... | 1994-02-07 | 2009-10-28 | [
"hep-th"
] | J.M. Figueroa-O'Farrill and S. Stanciu |
hep-th/9402031 | Gauged WZW models and Non-abelian duality | We consider WZW models based on the non-semi-simple algebras that they were
recently constructed as contractions of corresponding algebras for semi-simple
groups. We give the explicit expression for the action of these models, as well
as for a generalization of them, and discuss their general properties.
Furthermore we... | 1994-02-05 | 2009-10-28 | [
"hep-th"
] | Konstadinos Sfetsos |
hep-th/9402029 | Light--like Wilson loops and gauge invariance of Yang--Mills theory in
1+1 dimensions | A light-like Wilson loop is computed in perturbation theory up to ${\cal O}
(g^4)$ for pure Yang--Mills theory in 1+1 dimensions, using Feynman and
light--cone gauges to check its gauge invariance. After dimensional
regularization in intermediate steps, a finite gauge invariant result is
obtained, which however does no... | 1994-02-04 | 2009-10-28 | [
"hep-th"
] | A. Bassetto, F. De Biasio, L. Griguolo |
hep-th/9402025 | Deterministic Quantum Mechanics | Present quantum theory, which is statistical in nature, does not predict
joint probability distribution of position and momentum because they are
noncommuting. We propose a deterministic quantum theory which predicts a joint
probability distribution such that the separate probability distributions for
position and mome... | 1994-02-04 | 2008-02-03 | [
"hep-th"
] | S.M. Roy and Virendra Singh |
hep-th/9402027 | The Rank four Heterotic Modular Invariant Partition Functions | In this paper, we develop several general techniques to investigate modular
invariants of conformal field theories whose algebras of the holomorphic and
anti-holomorphic sectors are different. As an application, we find all such
``heterotic'' WZNW physical invariants of (horizontal) rank four: there are
exactly seven o... | 1994-02-04 | 2009-10-28 | [
"hep-th"
] | T. Gannon and Q. Ho-Kim |
hep-th/9402019 | On Global Aspects Of Gauged Wess-Zumino-Witten Model | This is a thesis for Rigaku-Hakushi($\simeq$ Ph. D.). It clarifies the
geometric meaning and field theoretical consequences of the spectral flows
acting on the space of states of the `$G/H$ coset model'. As suggested by Moore
and Seiberg, the spectral flow is realized as the response of states to certain
change of back... | 1994-02-04 | 2007-05-23 | [
"hep-th"
] | Kentaro Hori |
hep-th/9402028 | Z(N) Bubbles and their Descendants in Hot QCD: Alive and Bubbling | The spontaneous breaking of Z(N) symmetry in hot QCD and the appearance of
domain walls is reviewed. | 1994-02-04 | 2007-05-23 | [
"hep-th"
] | C. P. Korthals-Altes |
hep-th/9402030 | Moduli Spaces of Curves with Homology Chains and c=1 Matrix Models | We show that introducing a periodic time coordinate in the models of
Penner-Kontsevich type generalizes the corresponding constructions to the case
of the moduli space ${\cal S}_{gn}^k$ of curves $C$ with homology chains
$\gamma\in H_1(C,\zet_k)$. We make a minimal extension of the resulting models
by adding a kinetic ... | 1994-02-04 | 2008-11-26 | [
"hep-th"
] | A.S.Cattaneo, A.Gamba and M.Martellini |
hep-th/9402024 | GL_q(N)-covariant braided differential bialgebras | We study a possibility to define the (braided) comultiplication for the
GLq(N)-covariant differential complexes on some quantum spaces. We discover
such `differential bialgebras' (and Hopf algebras) on the bosonic and fermionic
quantum hyperplanes (with additive coproduct) and on the braided matrix algebra
BMq(N) with ... | 1994-02-04 | 2009-10-28 | [
"hep-th",
"math.QA"
] | A. P. Isaev and A. A. Vladimirov |
hep-th/9402026 | On the Additional Symmetry; Many-Body Problem Related to the KP
Hierarchy | Nonlinear integrable equations, such as the KdV equation, the Boussinesq
equation and the KP equation, have the close relation with many-body problem.
The solutions of such equations are the same as the restricted flows of the
classical Calogero model, which is one-dimensional particle system with inverse
square intera... | 1994-02-04 | 2016-09-06 | [
"hep-th"
] | Kazuhiro Hikami and Miki Wadati |
hep-th/9402015 | A renormalization group approach to Hamiltonian light-front field theory | A perturbative renormalization group is formulated for the study of
Hamiltonian light-front field theory near a critical Gaussian fixed point. The
only light-front renormalization group transformations found that can be
approximated by dropping irrelevant operators and using perturbation theory
near Gaussian fixed volu... | 1994-02-03 | 2009-10-28 | [
"hep-th"
] | Robert J. Perry |
hep-th/9402018 | On braided tensor categories | We investigate invertible elements and gradings in braided tensor categories.
This leads us to the definition of theta-, product-, subgrading and
orbitcategories in order to construct new families of BTC's from given ones. We
use the representation theory of Hecke algebras in order to relate the
fusionring of a BTC gen... | 1994-02-03 | 2008-02-03 | [
"hep-th",
"math.QA"
] | Thomas Kerler |
hep-th/9402021 | Calogero-Moser hierarchy and KP hierarchy | The space of solutions of the rational Calogero-Moser hierarchy, and the
space of solutions of the KP hierarchy whose tau functions are monic
polynomials in $t_1$ with coefficients depending on $t_n$, $n > 1$, are
identified, generalizing earlier results of Airault-McKean-Moser and Krichever. | 1994-02-03 | 2009-10-28 | [
"hep-th"
] | Takahiro Shiota |
hep-th/9402016 | O(2,2) Transformations and the String Geroch Group | The 1--loop string background equations with axion and dilaton fields are
shown to be integrable in four dimensions in the presence of two commuting
Killing symmetries and $\delta c = 0$. Then, in analogy with reduced gravity,
there is an infinite group that acts on the space of solutions and generates
non--trivial str... | 1994-02-03 | 2009-10-28 | [
"hep-th"
] | I. Bakas |
hep-th/9402023 | Dirac's Observables for Yang-Mills Theory with Fermions | A canonical basis of global Dirac's observables for Yang-Mills theory with
fermions are obtained in a functional space in which Gribov ambiguity is absent
and Gauss' laws can be solved exactly. In terms of these observables, one can
express the Lagrangian, the Hamiltonian, non-Abelian and topological charges.
The probl... | 1994-02-03 | 2010-11-01 | [
"hep-th"
] | Luca Lusanna |
hep-th/9402020 | Perturbative Bosonic End Anyon Spectra and Contact Interactions | Bosonic end perturbative calculations for quantum mechanical anyon systems
require a regularization. I regularize by adding a specific $\delta$-function
potential to the Hamiltonian. The reliability of this regularization procedure
is verified by comparing its results for the 2-anyon in harmonic potential
system with t... | 1994-02-03 | 2011-07-19 | [
"hep-th"
] | G. Amelino-Camelia |
hep-th/9402012 | A Covariant Formulation of Classical Spinning Particle | Covariantly we reformulate the description of a spinning particle in terms of
the Poincar\'{e} group. We also construct a Lagrangian which entails all
possible constraints explicitly; all constraints can be obtained just from the
Lagrangian. Furthermore, in this covariant reformulation, the Lorentz element
is to be con... | 1994-02-03 | 2009-10-28 | [
"hep-th"
] | Jin-Ho Cho, Seungjoon Hyun and Jae-Kwan Kim |
hep-th/9402014 | Discretization of the phase space for a q-deformed harmonic oscillator
with q a root of unity | The ``position'' and ``momentum'' operators for the q-deformed oscillator
with q being a root of unity are proved to have discrete eigenvalues which are
roots of deformed Hermite polynomials. The Fourier transform connecting the
``position'' and ``momentum'' representations is also found
The phase space of this oscil... | 1994-02-03 | 2019-08-15 | [
"hep-th"
] | D. Bonatsos, C. Daskaloyannis, D. Ellinas and A. Faessler |
hep-th/9402022 | Gaudin Model, Bethe Ansatz and Critical Level | We propose a new method of diagonalization of hamiltonians of the Gaudin
model associated to an arbitrary simple Lie algebra, which is based on Wakimoto
modules over affine algebras at the critical level. We construct eigenvectors
of these hamiltonians by restricting certain invariant functionals on tensor
products of ... | 1994-02-03 | 2009-10-28 | [
"hep-th"
] | Boris Feigin, Edward Frenkel, and Nikolai Reshetikhin |
hep-th/9402017 | Mapping Class Group Actions on Quantum Doubles | We study representations of the mapping class group of the punctured torus on
the double of a finite dimensional possibly non-semisimple Hopf algebra that
arise in the construction of universal, extended topological field theories. We
discuss how for doubles the degeneracy problem of TQFT's is circumvented. We
find com... | 1994-02-03 | 2009-10-28 | [
"hep-th",
"math.QA"
] | Thomas Kerler |
hep-th/9402013 | Mappings of Multimode Bose Algebra Preserving Number Operators | We define a class of deformed multimode oscillator algebras which possess
number operators and can be mapped to multimode Bose algebra.We construct and
discuss the states in the Fock space and the corresponding number operators. | 1994-02-03 | 2019-08-17 | [
"hep-th"
] | Miroslav Doresic, Stjepan Meljanac and Marijan Milekovic |
hep-th/9402008 | Spectral sum rules and Selberg's integral | Using Selberg's integral formula we derive all Leutwyler-Smilga type sum
rules for one and two flavors, and for each of the three chiral random matrix
ensembles. In agreement with arguments from effective field theory, all sum
rules for $N_f = 1$ coincide for the three ensembles. The connection between
spectral correla... | 1994-02-02 | 2009-10-28 | [
"hep-th"
] | Jacobus Verbaarschot |
hep-th/9402006 | Modular Invariance, Finiteness, and Misaligned Supersymmetry: New
Constraints on the Numbers of Physical String States | We investigate the generic distribution of bosonic and fermionic states at
all mass levels in non-supersymmetric string theories, and find that a hidden
``misaligned supersymmetry'' must always appear in the string spectrum. We show
that this misaligned supersymmetry is ultimately responsible for the finiteness
of stri... | 1994-02-02 | 2009-10-28 | [
"hep-th"
] | Keith R. Dienes (Institute for Advanced Study, Princeton) |
hep-th/9402009 | Cosmological Constant in Low Energy $d = 4$ String Leads to Naked
Singularity | In the sigma model approach, the $\beta$-function equations for non critical
strings contain a term which acts like a tree level cosmological constant,
$\Lambda$. We analyse the static, spherically symmetric solutions to these
equations in $d = 4$ space time and show that the curvature scalar seen by the
strings is sin... | 1994-02-02 | 2010-11-19 | [
"hep-th",
"gr-qc"
] | S. Kalyana Rama |
hep-th/9402010 | Effective Action for Multi-Regge Processes in QCD | We construct the effective Lagrangian describing QCD in the multi-Regge
kinematics. It is obtained from the original QCD
Lagrangian by eliminating modes of gluon and quark fields not appearing in
this underlying kinematics. | 1994-02-02 | 2009-10-28 | [
"hep-th"
] | R. Kirschner, L.N. Lipatov and L. Szymanowski |
hep-th/9402011 | A simple construction of elliptic $R$-matrices | We show that Belavin's solutions of the quantum Yang--Baxter equation can be
obtained by restricting an infinite $R$-matrix to suitable finite dimensional
subspaces. This infinite $R$-matrix is a modified version of the
Shibukawa--Ueno $R$-matrix acting on functions of two variables. | 1994-02-02 | 2009-10-28 | [
"hep-th",
"math.QA"
] | Giovanni Felder and V. Pasquier |
hep-th/9402007 | The Linear Multiplet and Quantum 4-D String Effective Actions | In 4-D heterotic superstrings, the dilaton and antisymmetric tensor fields
belong to a linear N=1 supersymmetric multiplet L. We study the lagrangian
describing the coupling of one linear multiplet to chiral and gauge multiplets
in global and local supersymmetry, with particular emphasis on string
tree-level and loop-c... | 1994-02-02 | 2009-10-28 | [
"hep-th",
"hep-ph"
] | J.-P. Derendinger, F. Quevedo, M. Quiros |
hep-th/9402003 | SU(3)xSU(2)xU(1), Higgs, and Gravity from Spin(0,8) Clifford Algebra
Cl(0,8) | The Lagrangian action for the D4-D5-E6 model of hep-th/9306011 has 8-dim
spacetime V8 of the vector representation of Spin(0,8); 8-dim fermion fields
S8+ = S8- of the half-spinor reps of Spin(0,8); and 28 gauge boson fields of
the bivector adjoint rep of Spin(0,8). In this paper, the structure of the
positive definite ... | 1994-02-01 | 2007-05-23 | [
"hep-th"
] | F. D. T. Smith |
hep-th/9402005 | Field Dependent Gauge Couplings in Locally Supersymmetric Effective
Quantum Field Theories | We investigate the field dependence of the gauge couplings of locally
supersymmetric effective quantum field theories. We find that the Weyl
rescaling of supergravity gives rise to Wess-Zumino terms that affect the gauge
couplings at the one-loop level. These Wess-Zumino terms are crucial in
assuring supersymmetric con... | 1994-02-01 | 2009-10-28 | [
"hep-th",
"hep-ph"
] | V.Kaplunovsky and J.Louis |
hep-th/9402002 | Strong-Weak Coupling Duality in Four Dimensional String Theory | We present several pieces of evidence for strong-weak coupling duality
symmetry in the heterotic string theory, compactified on a six dimensional
torus. These include symmetry of the 1) low energy effective action, 2) allowed
spectrum of electric and magnetic charges in the theory, 3) allowed mass
spectrum of particles... | 1994-02-01 | 2009-07-09 | [
"hep-th"
] | Ashoke Sen |
hep-th/9402001 | Determinant Formulae of Quasi-Finite Representation of W_{1+\infty}
Algebra at Lower Levels | We calculate the Kac determinant for the quasi-finite representation of \Winf
algebra up to level 8. It vanishes only when the central charge is integer. We
give an algebraic construction of null states and propose the character
formulae. The character of the Verma module is related to free fields in three
dimensions w... | 1994-02-01 | 2009-10-28 | [
"hep-th"
] | H.Awata, M.Fukuma, Y.Matsuo, S.Odake |
hep-th/9402004 | Horizon divergences of Fields and Strings in Black Hole backgrounds | General arguments based on curved space-time thermodynamics show that any
extensive quantity, like the free energy or the entropy of thermal matter,
always has a divergent boundary contribution in the presence of event horizons,
and this boundary term comes with the Hawking-Bekenstein form. Although the
coefficients de... | 1994-02-01 | 2013-11-13 | [
"hep-th"
] | J. L. F. Barbon |
hep-th/9401160 | Quantum Field Theory with Null-Fronted Metrics | There is a large class of classical null-fronted metrics in which a free
scalar field has an infinite number of conservation laws. In particular, if the
scalar field is quantized, the number of particles is conserved. However, with
more general null-fronted metrics, field quantization cannot be interpreted in
terms of ... | 1994-01-31 | 2009-10-28 | [
"hep-th"
] | Orit Levin and Asher Peres (Department of Physics, Technion - Israel
Institute of Technology, Haifa, Israel) |
hep-th/9401168 | The Number Operator for Generalized Quons | We construct the number operator for particles obeying infinite statistics,
defined by a generalized q-deformation of the Heisenberg algebra, and prove the
positivity of the norm of linearly independent state vectors. | 1994-01-31 | 2009-10-28 | [
"hep-th"
] | Miroslav Doresic |
hep-th/9401164 | BRST cohomology of the critical $W_4$ string | We study the cohomology of the critical $W_4$ string using the $W_4$ BRST
charge in a special basis in which it contains three separately nilpotent BRST
charges. This allows us to obtain the physical operators in three steps. In the
first step we obtain the cohomology associated to a spin-four constraint only,
and it c... | 1994-01-31 | 2010-04-06 | [
"hep-th"
] | H.J. Boonstra |
hep-th/9401166 | A general transformation formula for conformal fields | An explicit transformation formula for chiral conformal fields under
arbitrary holomorphic coordinate transformations is established. As an
application I calculate the transformation law of the general quasiprimary
field at level 4. | 1994-01-31 | 2009-10-28 | [
"hep-th"
] | M. Gaberdiel |
hep-th/9401162 | When q=0, The Forced Harmonic Oscillator Isn't | We consider the forced harmonic oscillator quantized according to infinite
statistics ( a special case of the `quon' algebra proposed by Greenberg ). We
show that in order for the statistics to be consistently evolved the forcing
term must be identically zero for all time. Hence only the free harmonic
oscillator may be... | 1994-01-31 | 2007-05-23 | [
"hep-th"
] | J.W.Goodison and D.J.Toms |
hep-th/9401167 | Multi-Component KdV Hierarchy, V-Algebra and Non-Abelian Toda Theory | I prove the recently conjectured relation between the $2\times 2$-matrix
differential operator $L=\partial^2-U$, and a certain non-linear and non-local
Poisson bracket algebra ($V$-algebra), containing a Virasoro subalgebra, which
appeared in the study of a non-abelian Toda field theory. Here, I show that
this $V$-alge... | 1994-01-31 | 2009-10-28 | [
"hep-th",
"funct-an",
"math.FA"
] | Adel Bilal |
hep-th/9401163 | Laughlin's wave functions, Coulomb gases and expansions of the
discriminant | In the context of the fractional quantum Hall effect, we investigate
Laughlin's celebrated ansatz for the groud state wave function at fractional
filling of the lowest Landau level. Interpreting its normalization in terms of
a one component plasma, we find the effect of an additional quadrupolar field
on the free energ... | 1994-01-31 | 2015-06-26 | [
"hep-th"
] | P. Di Francesco, M. Gaudin, C. Itzykson and F. Lesage |
hep-th/9401159 | Remarks on geometric entropy | The recently discussed notion of geometric entropy is shown to be related to
earlier calculations of thermal effects in Rindler space. The evaluation is
extended to de Sitter space and to a two-dimensional black hole. | 1994-01-31 | 2010-04-06 | [
"hep-th",
"gr-qc"
] | J.S.Dowker |
hep-th/9401161 | Anomalies and Wess-Zumino Terms in an Extended, Regularized
Field-Antifield Formalism | Quantization of anomalous gauge theories with closed, irreducible gauge
algebra within the extended Field-Antifield formalism is further pursued. Using
a Pauli-Villars (PV) regularization of the generating functional at one loop
level, an alternative form for the anomaly is found which involves only the
regulator. The ... | 1994-01-31 | 2016-08-14 | [
"hep-th"
] | Joaquim Gomis and Jordi Par\'is |
hep-th/9401158 | Vertex Operators of SL(2,R) Black Hole and 2-d gravity | By boosting the vertex operators of Witten's $SL(2,R)/U(1)$ black hole, we
show that in the region V they lead to the primary fields of $c=1$ matter
coupled to gravity at nonzero cosmological constant, while there is no such
correspondence in the region I, showing that Witten's black hole corresponds to
$2d$ gravity on... | 1994-01-31 | 2008-02-03 | [
"hep-th"
] | M. Alimohammadi and F. Ardalan (Institute for Studies in Theoretical
Physics and Mathematics, Tehran, Iran) |
hep-th/9401165 | Large Random Matrices: Eigenvalue Distribution | A recursive method is derived to calculate all eigenvalue correlation
functions of a random hermitian matrix in the large size limit, and after
smoothing of the short scale oscillations. The property that the two-point
function is universal, is recovered and the three and four-point functions are
given explicitly. One ... | 1994-01-31 | 2008-02-03 | [
"hep-th",
"nlin.SI",
"solv-int"
] | B. Eynard |
hep-th/9401157 | Theory of Loops and Strings with Matter in the Adjoint Representation | We have presented canonical and path integral formulations of a theory of
loops and closed strings with the matter field quanta transforming in the
adjoint representation of the SU(N) gauge group. The physical processes arising
out of the interactions of loops and closed strings are discussed. | 1994-01-29 | 2015-06-26 | [
"hep-th"
] | Jnanadeva Maharana and Lambodhar P. Singh |
hep-th/9401147 | Duality of the Superstring in Superspace | The evolution of a closed NSR string is considered in the background of
constant graviton and antisymmetric fields. The $\sigma$-model action is
written in a manifestly supersymmetric form in terms of superfields. The first
order formalism adopted for the closed bosonic string is generalised to
implement duality transf... | 1994-01-29 | 2015-06-26 | [
"hep-th"
] | Ashok Das and Jnanadeva Maharana |
hep-th/9401146 | Noncommutative differential geometry with higher order derivatives | We build a toy model of differential geometry on the real line, which
includes derivatives of the second order. Such construction is possible only
within the framework of noncommutative geometry. We introduce the metric and
briefly discuss two simple physical models of scalar field theory and gauge
theory in this geome... | 1994-01-28 | 2009-10-28 | [
"hep-th",
"math.OA"
] | Andrzej Sitarz |
hep-th/9401152 | Differential Calculi on Quantum (Sub-) Groups and Their Classical Limit | For the two-parameter matrix quantum group GLp,q(2) all bicovariant
differential calculi (with a four-dimensional space of 1-forms) are known. They
form a one-parameter family. Here, we give an improved presentation of previous
results by using a different parametrization. We also discuss different ways to
obtain bicov... | 1994-01-28 | 2007-05-23 | [
"hep-th"
] | F. M"uller-Hoissen |
hep-th/9401142 | Critical Composite Superconformal String | In the paper the nilpotent conditions of BRST operator for new superconformal
string model were found. This string includes anticommutation $2-d$ fields
additional to the standard Neveu-Schwarz superconformal set which carry quark
quantum numbers. In this case the superconformal symmetry is realized by a
non-linear way... | 1994-01-28 | 2007-05-23 | [
"hep-th"
] | V.A.Kudryavtsev |
hep-th/9401141 | Induced extended calculus on the quantum plane | The non-commutative differential calculus on quantum groups can be extended
by introducing, in analogy with the classical case, inner product operators and
Lie derivatives. For the case of $\GL$ we show how this extended calculus
induces by coaction a similar extended calculus, covariant under $\GL$, on the
quantum pla... | 1994-01-28 | 2008-02-03 | [
"hep-th",
"math.QA"
] | C. Chryssomalakos, Peter Schupp, Bruno Zumino |
hep-th/9401156 | Chern_simons Theory of the Anisotropic Quantum Heisenberg
Antiferromagnet on a Square Lattice | We consider the anisotropic quantum Heisenberg antiferromagnet (with
anisotropy $\lambda$) on a square lattice using a Chern-Simons (or
Wigner-Jordan) approach. We show that the Average Field Approximation (AFA)
yields a phase diagram with two phases: a Ne{\`e}l state for
$\lambda>\lambda_c$ and a flux phase for $\lamb... | 1994-01-28 | 2009-10-28 | [
"hep-th",
"cond-mat"
] | Ana Lopez, A.G.Rojo and Eduardo Fradkin |
hep-th/9401150 | Differential Calculus and Discrete Structures | There is a deformation of the ordinary differential calculus which leads from
the continuum to a lattice (and induces a corresponding deformation of physical
theories). We recall some of its features and relate it to a general framework
of differential calculus on discrete sets. This framework generalizes the usual
(la... | 1994-01-28 | 2007-05-23 | [
"hep-th"
] | A. Dimakis and F. M"uller-Hoissen |
hep-th/9401143 | Grand-Canonical Ensemble of Random Surfaces with Four Species of Ising
Spins | The grand-canonical ensemble of dynamically triangulated surfaces coupled to
four species of Ising spins (c=2) is simulated on a computer. The effective
string susceptibility exponent for lattices with up to 1000 vertices is found
to be $\gamma = - 0.195(58)$. A specific scenario for $c > 1$ models is
conjectured. | 1994-01-28 | 2009-10-28 | [
"hep-th"
] | J.-P. Kownacki and A. Krzywicki |
hep-th/9401151 | Noncommutative Differential Calculus: Quantum Groups, Stochastic
Processes, and the Antibracket | We explore a differential calculus on the algebra of smooth functions on a
manifold. The former is `noncommutative' in the sense that functions and
differentials do not commute, in general. Relations with bicovariant
differential calculus on certain quantum groups and stochastic calculus are
discussed. A similar differ... | 1994-01-28 | 2007-05-23 | [
"hep-th"
] | A. Dimakis and F. M"uller-Hoissen |
hep-th/9401155 | Physical States in Canonically Quantized Supergravity | We discuss the canonical quantization of $N=1$ supergravity in the functional
Schrodinger representation. Although the form of the supersymmetry constraints
suggests that there are solutions of definite order $n$ in the fermion fields,
we show that there are no such states for any finite $n$. For $n=0$, a simple
scalin... | 1994-01-28 | 2009-10-08 | [
"hep-th",
"gr-qc"
] | Sean M. Carroll, Daniel Z. Freedman, Miguel E. Ortiz, and Don N. Page |
hep-th/9401149 | Differential calculus and gauge theory on finite sets | We develop differential calculus and gauge theory on a finite set G. An
elegant formulation is obtained when G is supplied with a group structure and
in particular for a cyclic group. Connes' two-point model (which is an
essential ingredient of his reformulation of the standard model of elementary
particle physics) is ... | 1994-01-28 | 2009-10-28 | [
"hep-th"
] | A. Dimakis and F. M"uller-Hoissen |
hep-th/9401154 | Yangian Symmetry in Conformal Field Theory | We show that the $SU(N)$, level-1 Wess-Zumino-Witten conformal field theory
provides a natural realization of the Yangian $Y(sl_N)$ for $N\geq 3$. We also
construct a hamiltonian $H_2$ which commutes with the Yangian generators and
study its spectrum. Our results, which generalize work by Haldane et al.\
\cite{hhtbp}, ... | 1994-01-28 | 2010-11-01 | [
"hep-th",
"cond-mat"
] | Kareljan Schoutens |
hep-th/9401145 | Gravity from Noncommutative Geometry | We introduce the linear connection in the noncommutative geometry model of
the product of continuous manifold and the discrete space of two points. We
discuss its metric properties, define the metric connection and calculate the
curvature. We define also the Ricci tensor and the scalar curvature. We find
that the latte... | 1994-01-28 | 2010-04-06 | [
"hep-th",
"gr-qc",
"hep-ph"
] | Andrzej Sitarz |
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