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/9405124
Macroscopic superstrings as interpolating solitons
It is known that, in string sigma-model metric, the `extreme' fivebrane solution of D=10 supergravity interpolates between D=10 Minkowski spacetime and a supersymmetric $S^3$ compactification to a linear dilaton vacuum. We show here that, in {\it fivebrane} sigma-model metric, the extreme string solution of D=10 superg...
1994-05-19
2009-10-07
[ "hep-th" ]
M.J. Duff, G.W. Gibbons and P.K. Townsend
hep-th/9405126
Two dimensional lattice gauge theory based on a quantum group
In this article we analyze a two dimensional lattice gauge theory based on a quantum group.The algebra generated by gauge fields is the lattice algebra introduced recently by A.Yu.Alekseev,H.Grosse and V.Schomerus we define and study wilson loops and compute explicitely the partition function on any Riemann surface. Th...
1994-05-19
2009-10-28
[ "hep-th" ]
E.Buffenoir Ph.Roche
hep-th/9405123
The structure of the spectrum of anomalous dimensions in the N-vector model in 4-epsilon dimensions
In a recent publication we have investigated the spectrum of anomalous dimensions for arbitrary composite operators in the critical N-vector model in 4-epsilon dimensions. We could establish properties like upper and lower bounds for the anomalous dimensions in one-loop order. In this paper we extend these results and ...
1994-05-19
2009-10-28
[ "hep-th" ]
Stefan K. Kehrein and Franz Wegner
hep-th/9405127
Quark contribution to the reggeon-reggeon-gluon vertex in QCD
The quark loop contribution to the reggeon-reggeon-gluon vertex is calculated in QCD, where the reggeon is the reggeized gluon. Compared with the vertex in the Born approximation, this contribution exhibits a new spin structure as well as the gluon loop one. A remarkable but not complete cancellation between gluon and ...
1994-05-19
2019-08-17
[ "hep-th", "hep-ph" ]
V.S. Fadin, R. Fiore, A. Quartarolo
hep-th/9405128
Spectral Representation of Correlation Functions in two-dimensional Quantum Field Theories
The non-perturbative mapping between different Quantum Field Theories and other features of two-dimensional massive integrable models are discussed by using the Form Factor approach. The computation of ultraviolet data associated to the massive regime is illustrated by taking as an example the scattering theory of the ...
1994-05-19
2007-05-23
[ "hep-th", "cond-mat" ]
G. Mussardo
hep-th/9405125
Wigner quantum oscillators. Osp(3/2) oscillators
The properties of the three-dimensional noncanonical osp(3/2) oscillators, introduced in J.Phys. A: Math. Gen. {\bf 27} (1994) 977, are further studied. The angular momentum M of the oscillators can take at most three values M=p-1,p,p+1, which are either all integers or all half-integers. The coordinates anticommute wi...
1994-05-19
2009-10-28
[ "hep-th" ]
T.D.Palev and N.I.Stoilova
hep-th/9405122
Value of generalized hypergeometric function at unity
Value of generalized hypergeometric function at a special point is calculated. More precisely, value of certain multiple integral over vanishing cycle (all arguments collapse to unity) is calculated. The answer is expressed in terms of $\Gamma$-functions. The constant is relevant to the part of $\rho$ in the Gindikin-K...
1994-05-19
2008-02-03
[ "hep-th" ]
A. Kazarnovski-Krol
hep-th/9405115
Non-Trivial Non-Canonical W-Algebras from Kac-Moody Reductions
By reducing a split $G_2$ Kac-Moody algebra by a non-maximal set of first-class constraints we produce W-algebras which (i) contain fields of negative conformal spin and (ii) are not trivial extensions of canonical W-algebras.
1994-05-18
2009-10-28
[ "hep-th" ]
G.A.T.F.da Costa and L.O'Raifeartaigh
hep-th/9405118
Thermal ensemble of string gas in a magnetic field
We study the thermal ensemble of a gas of free strings in presence of a magnetic field. We find that the thermodynamical partition function diverges when the magnetic field exceeds some critical value $B_{\rm cr}$, which depends on the temperature. We argue that there is a first-order phase transition with a large late...
1994-05-18
2009-10-28
[ "hep-th" ]
J. G. Russo
hep-th/9405112
Generalized Lagrangian Master Equations
We discuss the geometry of the Lagrangian quantization scheme based on (generalized) Schwinger-Dyson BRST symmetries. When a certain set of ghost fields are integrated out of the path integral, we recover the Batalin-Vilkovisky formalism, now extended to arbitrary functional measures for the classical fields. Keeping t...
1994-05-18
2009-10-28
[ "hep-th" ]
J. Alfaro and P.H. Damgaard
hep-th/9405114
Vortex Motion In Charged Fluids
A non-relativistic scalar field coupled minimally to electromagnetism supports in the presence of a homogeneous background electric charge density the existence of smooth, finite-energy topologically stable flux vortices. The static properties of such vortices are studied numerically in the context of a two parameter m...
1994-05-18
2009-09-25
[ "hep-th", "cond-mat" ]
G.N. Stratopoulos and T.N. Tomaras
hep-th/9405116
Universal Drinfeld-Sokolov Reduction and Matrices of Complex Size
We construct affinization of the algebra $gl_{\lambda}$ of ``complex size'' matrices, that contains the algebras $\hat{gl_n}$ for integral values of the parameter. The Drinfeld--Sokolov Hamiltonian reduction of the algebra $\hat{gl_{\lambda}}$ results in the quadratic Gelfand--Dickey structure on the Poisson--Lie group...
1994-05-18
2009-10-28
[ "hep-th", "math.QA" ]
Boris Khesin and Feodor Malikov
hep-th/9405117
Asymptotic level density in heterotic string theory and rotating black holes
We calculate the density of states with given mass and spin in string theory and obtain asymptotic formulas. We also compute the tree-level gyromagnetic couplings for arbitrary physical states in the heterotic string theory. These results are then applied to study whether fundamental strings can consistently describe t...
1994-05-18
2009-10-07
[ "hep-th" ]
J.G. Russo and L. Susskind
hep-th/9405119
Quantal Analysis of String-Inspired Lineal Gravity with Matter Fields
We show that string-inspired lineal gravity interacting with matter fields cannot be Dirac-quantized owing to the well known anomaly in energy-momentum tensor commutators.
1994-05-18
2009-10-28
[ "hep-th", "gr-qc" ]
D. Cangemi and R. Jackiw
hep-th/9405120
Moduli and K\"ahler potential in fermionic strings
We study the problem of identifying the moduli fields in fermionic four-dimensional string models. We deform a free-fermionic model by introducing exactly marginal operators in the form of Abelian Thirring interactions on the world-sheet, and show that their couplings correspond to the untwisted moduli fields. We study...
1994-05-18
2011-07-19
[ "hep-th", "hep-ph" ]
Jorge L. Lopez, D.V. Nanopoulos, and Kajia Yuan
hep-th/9405121
W_{1+\infty} and W(gl_N) with central charge N
We study representations of the central extension of the Lie algebra of differential operators on the circle, the W-infinity algebra. We obtain complete and specialized character formulas for a large class of representations, which we call primitive; these include all quasi-finite irreducible unitary representations. W...
1994-05-18
2009-10-28
[ "hep-th" ]
E. Frenkel, V. Kac, A. Radul and W. Wang
hep-th/9405113
N=1 SUPER-P-BRANES in twistor-like Lorentz harmonic formulation
Unique twistor--like Lorentz harmonic formulation for all N=1 supersymmetric extended objects (super-p-branes) moving in the space--time of arbitrary dimension D (admissible for given $p$) are suggested. The equations of motion are derived, explicit form of the \kappa-symmetry transformations is presented and the class...
1994-05-18
2010-04-06
[ "hep-th" ]
I.A. Bandos and A.A. Zheltukhin
hep-th/9405149
Comment on gauge choices and physical variables in QED
We consider possible definitions of physical variables in QED. We demonstrate that the condition $\partial_i A_i$$=0$ is the most convenient one because it leads to path integral over physical components with local action. However, other choices, as $A_3=0$, are also possible. The standard expression for configuration ...
1994-05-17
2008-11-26
[ "hep-th" ]
Dmitri Vassilevich
hep-th/9405111
Gelfand-Dikii Brackets for Nonstandard Lax Equations
We generalize the construction of Gelfand-Dikii brackets to the case of nonstandard Lax equations. We also discuss the possible origin of Kac-Moody algebras present in such systems.
1994-05-17
2015-06-26
[ "hep-th" ]
J.C. Brunelli, Ashok Das and Wen-Jui Huang
hep-th/9405105
Some Useful Properties of Rotational Gibbs States In Chiral Conformal QFT
We derive the Kac Wakimoto formula in the algebraic framework of chiral conformal QFT s a consequence of the universal behaviour of high-temperature Gibbs-states on intertwiner subalgebras. By studying selfintertwiners in the presence of other charges, we obtain charge-polarization coefficients which generalize the ent...
1994-05-17
2016-09-06
[ "hep-th" ]
B. Schroer, FU Berlin
hep-th/9405110
Poisson Structure Induced (Topological) Field Theories
A class of two dimensional field theories, based on (generically degenerate) Poisson structures and generalizing gravity-Yang-Mills systems, is presented. Locally, the solutions of the classical equations of motion are given. A general scheme for the quantization of the models in a Hamiltonian formulation is found.
1994-05-17
2015-06-26
[ "hep-th" ]
Peter Schaller and Thomas Strobl
hep-th/9405107
Bicrossproduct structure of $\kappa$-Poincare group and non-commutative geometry
We show that the $\kappa$-deformed Poincar\'e quantum algebra proposed for elementary particle physics has the structure of a Hopf agebra bicrossproduct $U(so(1,3))\cobicross T$. The algebra is a semidirect product of the classical Lorentz group $so(1,3)$ acting in a deformed way on the momentum sector $T$. The novel f...
1994-05-17
2009-10-28
[ "hep-th", "math.QA" ]
Shahn Majid and Henri Ruegg
hep-th/9405106
On the Genus Expansion in the Topological String Theory
A systematic formulation of the higher genus expansion in topological string theory is considered. We also develop a simple way of evaluating genus zero correlation functions. At higher genera we derive some interesting formulas for the free energy in the $A_1$ and $A_2$ models. We present some evidence that topologica...
1994-05-17
2015-06-26
[ "hep-th" ]
T. Eguchi, Y. Yamada and S.-K. Yang
hep-th/9405103
Comment On A Proposal By Strominger
Strominger has proposed an interesting concrete realization of Hawking's idea that information is lost in black hole evaporation. In this note we demonstrate that a straightforward interpretation of Strominger's model leads to a complete breakdown of the conditions for using statistics for analyzing the results of expe...
1994-05-17
2007-05-23
[ "hep-th" ]
Leonard Susskind
hep-th/9405108
State Sum Models and Simplicial Cohomology
We study a class of subdivision invariant lattice models based on the gauge group $Z_{p}$, with particular emphasis on the four dimensional example. This model is based upon the assignment of field variables to both the $1$- and $2$-dimensional simplices of the simplicial complex. The property of subdivision invariance...
1994-05-17
2009-10-28
[ "hep-th" ]
Danny Birmingham and Mark Rakowski
hep-th/9405104
A lecture on the Calogero-Sutherland models
In these lectures, I review some recent results on the Calogero-Sutherland model and the Haldane Shastry-chain. The list of topics I cover are the following: 1) The Calogero-Sutherland Hamiltonian and fractional statistics. The form factor of the density operator. 2) The Dunkl operators and their relations with monodro...
1994-05-17
2009-10-28
[ "hep-th" ]
V. Pasquier
hep-th/9405109
Local BRST cohomology in the antifield formalism: I. General theorems
We establish general theorems on the cohomology $H^*(s|d)$ of the BRST differential modulo the spacetime exterior derivative, acting in the algebra of local $p$-forms depending on the fields and the antifields (=sources for the BRST variations). It is shown that $H^{-k}(s|d)$ is isomorphic to $H_k(\delta |d)$ in negati...
1994-05-17
2008-11-26
[ "hep-th" ]
G. Barnich, F. Brandt and M. Henneaux
hep-th/9405096
Integrable Hierarchies and Dispersionless Limit
Analogues of the KP and the Toda lattice hierarchy called dispersionless KP and Toda hierarchy are studied. Dressing operations in the dispersionless hierarchies are introduced as a canonical transformation, quantization of which is dressing operators of the ordinary KP and Toda hierarchy. An alternative construction o...
1994-05-16
2009-10-28
[ "hep-th", "nlin.SI", "solv-int" ]
Kanehisa Takasaki (Kyoto University), Takashi Takebe (University of Tokyo)
hep-th/9405097
BRST Structures and Symplectic Geometry on a Class of Supermanifolds
By investigating the symplectic geometry and geometric quantization on a class of supermanifolds, we exhibit BRST structures for a certain kind of algebras. We discuss the undeformed and q-deformed cases in the classical as well as in the quantum cases.
1994-05-16
2009-10-28
[ "hep-th", "alg-geom", "math.AG" ]
Sergio Albeverio and Shao-Ming Fei
hep-th/9405102
Special functions as structure constants for new infinite-dimensional algebras
Novel infinite-dimensional algebras of the Virasoro/Kac-Moody/ Floratos-Iliopoulos type are introduced, which involve special functions in their structure constants
1994-05-16
2007-05-23
[ "hep-th" ]
Paul Demkin
hep-th/9405101
Supersymetrie et mathematiques
Nous presentons une introduction aux concepts de la supersymetrie par l'intermediaire de trois exemples: (i) Mecanique quantique supersymetrique, (ii) Superalgebres de Lie, (iii) Superconnexions de Quillen. Les points communs a toutes ces notions sont soulignes et des applications sont indiquees. En particulier nous es...
1994-05-16
2008-02-03
[ "hep-th", "math.QA" ]
Francois Gieres
hep-th/9405099
On three-dimensional topological field theories constructed from $D^\omega(G)$ for finite group
We investigate the 3d lattice topological field theories defined by Chung, Fukuma and Shapere. We concentrate on the model defined by taking a deformation $\D{G}$ of the quantum double of a finite commutative group $G$ as the underlying Hopf algebra. It is suggested that Chung-Fukuma-Shapere partition function is relat...
1994-05-16
2010-11-01
[ "hep-th", "hep-lat", "math.QA" ]
Masako Asano and Saburo Higuchi
hep-th/9405100
On the Anomalous Magnetic Moment in Heterotic Superstrings
We explicitly compute the anomalous magnetic moment at one loop level for an ``electron'' in a 4d heterotic string theory. The anomalous magnetic moment vanishes if the model is spacetime supersymmetric, as required by the supersymmetric sum rules.
1994-05-16
2015-06-26
[ "hep-th" ]
Andrea Pasquinucci and Kaj Roland
hep-th/9405098
Yang-Baxterization of the BH algebra
The BH algebra is defined by two sets of generators one of which satisfy the relations of the braid group and the other the relations of the Hecke algebra of projectors.These algebras are then combined by additional relations in a way which generalizes the Birman-Wenzl algebra.In this paper we Yang-Baxterize the algebr...
1994-05-16
2007-05-23
[ "hep-th" ]
G.A.F.T. da Costa
hep-th/9405095
N=1,2 Super-NLS Hierarchies as Super-KP Coset Reductions
We define consistent finite-superfields reductions of the $N=1,2$ super-KP hierarchies via the coset approach we already developped for reducing the bosonic KP-hierarchy (generating e.g. the NLS hierarchy from the $sl(2)/U(1)-{\cal KM}$ coset). We work in a manifestly supersymmetric framework and illustrate our method ...
1994-05-15
2015-06-26
[ "hep-th" ]
Francesco Toppan
hep-th/9405094
Black Holes and Open Strings
This paper has been withdrawn pending revision.
1994-05-15
2008-02-03
[ "hep-th", "gr-qc" ]
Andrew Strominger
hep-th/9405093
Determinant and Character of W-infinity algebra
We diagonalize the Hilbert space of some subclass of the quasifinite module of the \Winf algebra. States are classified according to their eigenvalues for infinitely many commuting charges and the Young diagrams. The parameter dependence of their norms is explicitly derived. The full character formulae of the degenerat...
1994-05-14
2014-11-18
[ "hep-th" ]
H. Awata, M. Fukuma, Y. Matsuo, S. Odake
hep-th/9405092
Exact Propagator for $SU(N)$ Coherent State
We present a classical integrable model of $SU(N)$ isospin defined on complex projective phase space in the external magnetic field and solve it exactly by constructing the action-angle variables for the system. We quantize the system using the coherent state path integral method and obtain an exact expression for quan...
1994-05-14
2007-05-23
[ "hep-th" ]
Phillial Oh
hep-th/9405088
BRST quantization of anomalous gauge theories
It is shown how the BRST quantization can be applied to a gauge invariant sector of theories with anomalously broken symmetries. This result is used to show that shifting the anomalies to a classically trivial sector of fields (Wess-Zumino mechanism) makes it possible to quantize the physical sector using a standard BR...
1994-05-13
2008-11-26
[ "hep-th" ]
Nelson R.F. Braga
hep-th/9405087
Hirota equation as an example of integrable symplectic map
The hamiltonian formalism is developed for the sine-Gordon model on the space-time light-like lattice, first introduced by Hirota. The evolution operator is explicitely constructed in the quantum variant of the model, the integrability of the corresponding classical finite-dimensional system is established.
1994-05-13
2009-10-28
[ "hep-th" ]
L. Faddeev and A.Yu. Volkov
hep-th/9405091
The Light-Cone Field Theory Paradigm for Spontaneous Symmetry Breaking
In the first part of this lecture I will give an introduction to light-cone field theory, focussing on the ``zero mode problem''. In the second part I discuss $\phi^4$-theory in 1+1 dimensions. I will show how the dynamics of the zero modes can give rise to spontaneous symmetry breaking in spite of the trivial vacuum s...
1994-05-13
2007-05-23
[ "hep-th" ]
Stephen Pinsky
hep-th/9405086
Mirror Symmetry and String Vacua from a Special Class of Fano Varieties
Because of the existence of rigid Calabi--Yau manifolds, mirror symmetry cannot be understood as an operation on the space of manifolds with vanishing first Chern class. In this article I continue to investigate a particular type of K\"ahler manifolds with positive first Chern class which generalize Calabi--Yau manifol...
1994-05-13
2010-11-01
[ "hep-th", "alg-geom", "math.AG" ]
Rolf Schimmrigk
hep-th/9405084
Conformally Invariant Boundary Conditions for Dilaton Gravity
Quantum mechanical boundary conditions along a timelike line, corresponding to the origin in radial coordinates, in two-dimensional dilaton gravity coupled to $N$ matter fields, are considered. Conformal invariance and vacuum stability severely constrain the possibilities. The simplest choice found corresponds to a non...
1994-05-13
2009-09-25
[ "hep-th", "gr-qc" ]
A. Strominger and L. Thorlacius
hep-th/9405089
Quasi-particles in the chiral Potts model
We study the quasi-particle spectrum of the integrable three-state chiral Potts chain in the massive phase by combining a numerical study of the zeroes of associated transfer matrix eigenvalues with the exact results of the ferromagnetic three-state Potts chain and the three-state superintegrable chiral Potts model. We...
1994-05-13
2009-10-28
[ "hep-th" ]
Rinat Kedem and Barry M. McCoy
hep-th/9405090
Are p-Branes Asymptotically Black Holes?
An attempt is made to compare the asymptotic state density of twisted $p$-branes and the related state density of mass level $M$ of a $D$-dimensional neutral black hole. To this aim, the explicit form of the twisted $p$-brane total level degeneracy is calculated. The prefactor of the degeneracy, in contrast to the lead...
1994-05-13
2015-06-26
[ "hep-th" ]
Andrei Bytsenko, Klaus Kirsten, Sergio Zerbini
hep-th/9405080
Collective field approach to gauged principal chiral field at large N
The lattice model of principal chiral field interacting with the gauge fields, which have no kinetic term, is considered. This model can be regarded as a strong coupling limit of lattice gauge theory at finite temperature. The complete set of equations for collective field variables is derived in the large N limit and ...
1994-05-12
2015-06-26
[ "hep-th" ]
K. Zarembo
hep-th/9405082
Exact Solutions of G-Invariant Chiral Equations
We give a methodology for solving the chiral equations $(\alpha g_{,z} g^{-1})_{,\overline z} + (\alpha g_{,\overline z} g^{-1})_{,z} \ = \ 0 $ where $g$ belongs to some Lie group $G$. The solutions are writing in terms of Harmonic maps. The method could be used even for some infinite Lie groups. (Preprint CIEA-gr-94/0...
1994-05-12
2022-11-08
[ "hep-th" ]
Tonatiuh Matos
hep-th/9405081
On Self-dual Gravity Structures on Ground Ring Manifolds in Two-Dimensional String Theory
We generalize the geometric structures generated by Witten's ground ring. It is shown that these generalized structures involve in a natural way some geometric constructions from Self-dual gravity [1,12]. The formal twistor construction on full quantum ground ring manifold is also given.
1994-05-12
2011-10-11
[ "hep-th" ]
H. Garcia-Compean, J.F. Plebanski, M. Przanowski
hep-th/9405083
On gauge invariance and the path integral
Using a gauge covariant operator technique we deduce the path integral for a charged particle in a stationary magnetic field, verifying the "midpoint rule" for the discrete form of the interaction term with the vector potential.
1994-05-12
2009-10-28
[ "hep-th", "cond-mat" ]
Silvio J. Rabello and Carlos Farina
hep-th/9405078
A Note on Weak ${\cal H}$-Spaces, Heavenly Equations and their Evolution Weak Heavenly Equations
\noindent It is find a non-linear partial differential equation which we show contains the first Heavenly equation of Self-dual gravity and generalize the second one. This differential equation we call "Weak Heavenly Equation" (${\cal WH}$-equation). For the two-dimensional case the ${\cal WH}$-equation is brought into...
1994-05-12
2016-08-14
[ "hep-th" ]
J.F. Pleba\'nski and H. Garc\'ia-Compe\'an
hep-th/9405085
Hyperspherical Harmonics, Separation of Variables and the Bethe Ansatz
The relation between solutions to Helmholtz's equation on the sphere $S^{n-1}$ and the $[{\gr sl}(2)]^n$ Gaudin spin chain is clarified. The joint eigenfuctions of the Laplacian and a complete set of commuting second order operators suggested by the $R$--matrix approach to integrable systems, based on the loop algebra ...
1994-05-12
2013-04-08
[ "hep-th", "math-ph", "math.MP" ]
J. Harnad and P. Winternitz
hep-th/9405079
On representation theory of quantum $SL_q(2)$ groups at roots of unity
Irreducible representations of quantum groups $SL_q(2)$ (in Woronowicz' approach) were classified in J.Wang, B.Parshall, Memoirs AMS 439 in the~case of $q$ being an~odd root of unity. Here we find the~irreducible representations for all roots of unity (also of an~even degree), as well as describe "the~diagonal part" of...
1994-05-12
2008-02-03
[ "hep-th", "math.QA" ]
P. Kondratowicz and P. Podles
hep-th/9405076
Quantum Deformation of the Poincare Supergroup and $\kappa$-deformed Superspace
The classical $r$-matrix for $N=1$ superPoincar{\'e} algebra, given by Lukierski, Nowicki and Sobczyk is used to describe the graded Poisson structure on the $N=1$ Poincar{\'e} supergroup. The standard correspondence principle between the even (odd) Poisson brackets and (anti)commutators leads to the consistent quantum...
1994-05-11
2019-08-15
[ "hep-th" ]
P. Kosi{\'n}ski(1), J. Lukierski(2),P. Ma{\'s}lanka(2), J. Sobczyk(4)((1) Institute of Physics, University of Lodz, ul. Pomorska 149/153, 90-236 Lodz,Poland;(2)Institute for Theoretical Physics, University of Wroclaw, pl. Maxa Borna 9, 50-204 Wroclaw, Poland)
hep-th/9405073
A q-deformed Version of the Heavenly Equations
Using a $q$-deformed Moyal algebra associated with the group of area preserving diffeomorphisms of th two-dimensional torus $T^2$, sdiff$_q (T^2)$, a $q$-deformed version for the Heavenly equations is given. Finally, the two-dimensional chiral version of Self-dual gravity in this $q$-deformed context is briefly discuss...
1994-05-11
2009-10-28
[ "hep-th" ]
Jerzy F. Plebanski and H. Garcia-Compean
hep-th/9405072
Dilaton Gravity in $2+\epsilon$ Dimensions
Quantum theory of dilaton gravity is studied in $2+\epsilon$ dimensions. Divergences are computed and renormalized at one-loop order. The mixing between the Liouville field and the dilaton field eliminates $1/\epsilon$ singularity in the Liouville-dilaton propagator. This smooth behavior of the dilaton gravity theory i...
1994-05-11
2009-10-28
[ "hep-th" ]
S. Kojima, N. Sakai and Y. Tanii
hep-th/9405074
Twistor--like Formulation of D=10, type IIA, Superstrings $^*$
The twistor--like formulation of the type IIA superstring $\sigma$--model in D=10 is obtained by performing a dimensional reduction of the recently proposed twistor--like action of the supermembrane in D=11. The superstring action is invariant under local, worldsheet $(n,n)$ supersymmetry where $3\leq n \leq 8$ and is ...
1994-05-11
2007-05-23
[ "hep-th" ]
P.Pasti and M.Tonin
hep-th/9405077
Probability Density, Diagrammatic Technique, and Epsilon Expansion in the Theory of Wave Turbulence
We apply the methods of Field Theory to study the turbulent regimes of statistical systems. First we show how one can find their probability densities. For the case of the theory of wave turbulence with four-wave interaction we calculate them explicitly and study their properties. Using those densities we show how one ...
1994-05-11
2009-10-28
[ "hep-th", "cond-mat" ]
V. Gurarie
hep-th/9405075
Classical r-matrices and construction of quantum groups
A problem of constructing quantum groups from classical r-matrices is discussed.
1994-05-11
2008-02-03
[ "hep-th", "math.QA" ]
J. Sobczyk
hep-th/9405064
B\"acklund Transformations an Zero-Curvature Representations of Systems of Partial Differential Equations
It is shown that B\"acklund transformations (BTs) and zero-curvature representations (ZCRs) of systems of partial differential equations (PDEs) are closely related. The connection is established by nonlinear representations of the symmetry group underlying the ZCR which induce gauge transformations relating different B...
1994-05-10
2009-10-28
[ "hep-th", "math.AP" ]
Friedemann Brandt
hep-th/9405059
$R^2$ Gravity in $(2+\epsilon)$--Dimensional Quantum Gravity
We study $R^2$ gravity in $(2+\epsilon)$--dimensional quantum gravity. Taking care of the oversubtraction problem in the conformal mode dynamics, we perform a full order calculation of string susceptibility in the $\epsilon \rightarrow 0$ limit. The result is consistent with that obtained through Liouville approach.
1994-05-10
2015-06-26
[ "hep-th" ]
Jun Nishimura, Shinya Tamura and Asato Tsuchiya
hep-th/9405058
Notes on highest weight modules of the elliptic algebra ${\cal A}_{q,p}\left(\widehat{sl}_2\right)$
We discuss a construction of highest weight modules for the recently defined elliptic algebra ${\cal A}_{q,p}(\widehat{sl}_2)$, and make several conjectures concerning them. The modules are generated by the action of the components of the operator $L$ on the highest weight vectors. We introduce the vertex operators $\P...
1994-05-10
2008-11-26
[ "hep-th" ]
O. Foda, K. Iohara, M. Jimbo, R. Kedem, T. Miwa and H. Yan
hep-th/9405065
Supergravity and the quest for a unified theory
A recollection of some theoretical developments that preceded and followed the first formulation of supergravity theory is presented. Special emphasis is placed on the impact of supergravity on the search for a unified theory of fundamental interactions.
1994-05-10
2007-05-23
[ "hep-th" ]
Sergio Ferrara
hep-th/9405061
Quantum Optimal Control Theory
The possibility of control of phenomena at microscopic level compatible with quantum mechanics and quantum field theory is outlined. The theory could be used in nanotechnology.
1994-05-10
2007-05-23
[ "hep-th" ]
G. H. Gadiyar
hep-th/9405068
Quenched Random Graphs
Spin models on quenched random graphs are related to many important optimization problems. We give a new derivation of their mean-field equations that elucidates the role of the natural order parameter in these models.
1994-05-10
2009-10-28
[ "hep-th" ]
C. Bachas, C. de Calan and P.M.S. Petropoulos
hep-th/9405060
The finite vacuum energy for spinor, scalar and vector fields
We compute the one-loop potential (the Casimir energy) for scalar, spinor and vectors fields on the spaces $\,R^{m+1}\, \times\,Y$ with $\,Y=\,S^N\,,CP^2$. As a physical model we consider spinor electrodynamics on four-dimensional product manifolds. We examine the cancelation of a divergent part of the Casimir energy o...
1994-05-10
2015-06-26
[ "hep-th" ]
N.Shtykov
hep-th/9405067
Quantum Field Theory with Nonzero Minimal Uncertainties in Positions and Momenta
A noncommutative geometric generalisation of the quantum field theoretical framework is developed by generalising the Heisenberg commutation relations. There appear nonzero minimal uncertainties in positions and in momenta. As the main result it is shown with the example of a quadratically ultraviolet divergent graph i...
1994-05-10
2009-10-28
[ "hep-th", "gr-qc" ]
A. Kempf
hep-th/9405063
The Geometry of Electric Charge: The Charge Characteristic Class
It is well known that magnetic monopoles are related to the first Chern class. In this note electric charge is used to construct an analogous characteristic class: the charge class.
1994-05-10
2007-05-23
[ "hep-th" ]
G.H.Gadiyar
hep-th/9405071
On the Algebraic Structure of the Holomorphic Anomaly for N=2 Topological Strings
The special geometry ($(t,{\bar t})$-equations) for twisted $N=2$ strings are derived as consistency conditions of a new contact term algebra. The dilaton appears in the contact terms of topological and antitopological operators. The holomorphic anomaly, which can be interpreted as measuring the background dependence, ...
1994-05-10
2009-10-28
[ "hep-th" ]
C. Gomez and E. Lopez
hep-th/9405066
The role of the superstring dilaton in cosmology and particle physics
Superstring theory predicts the existence of a scalar field, the dilaton. I review some basic features of the dilaton interactions and explain their possible consequences in cosmology and particle physics.
1994-05-10
2007-05-23
[ "hep-th", "astro-ph" ]
R. Brustein
hep-th/9405062
Solitons in Nonlinear Schr\"{o}dinger Model and the Collective Ground State of One-Dimensional Delta-Function Gas
We examine one-dimensional Bose gas interacting with delta-function potential using the large-$N$ collective field theory. We show that in the case of attractive potential the uniform ground state is unstable to small perturbations and the instability is cured by formation of a collective ground state, \lq\lq bright so...
1994-05-10
2009-10-28
[ "hep-th" ]
Hideaki Hiro-Oka and Hisakazu Minakata
hep-th/9405069
Reformulating String Theory with the $1/N$ Expansion
We argue that string theory should have a formulation for which stability and causality are evident. Rather than regard strings as fundamental objects, we suggest they should be regarded as composite systems of more fundamental point-like objects. A tentative scheme for such a reinterpretation is described along the li...
1994-05-10
2007-05-23
[ "hep-th" ]
Charles B. Thorn
hep-th/9405070
Timelike Duality
Several stationary solutions of the low energy string equations are dualized with respect to their timelike symmetry. Many of the duals have simple physical interpretations. Those of the nonextremal three dimensional black hole and black string are negative mass black strings. The extremal cases of these, and extremal ...
1994-05-10
2013-11-13
[ "hep-th" ]
Dean L. Welch
hep-th/9405056
Quantum Cohomology of Partial Flag Manifolds and a Residue Formula for Their Intersection Parings
As a generalization of our previous paper [GK], we formulate a residue formula and some simple behaviors of equivariant quantum cohomology applying to compute the quantum cohomology of partial flag manifolds $F_{k_1,\cdots , k_l} $with a try to give a rigorous definition of equivariant quantum cohomology.
1994-05-10
2008-02-03
[ "hep-th", "math.QA" ]
Bumsig Kim
hep-th/9405042
How Interference Effects in Mixtures Determine the Rules of Quantum Mechanics
It is shown that elementary indistinguishability properties of partially polarized mixtures are consistent only with the conventional Hilbert space model of quantum mechanics and a few exotic alternatives. This applies even in low dimensions where quantum logic and Gleason's theorem give either weak or no constraints. ...
1994-05-09
2009-10-28
[ "hep-th", "gr-qc" ]
Daniel I. Fivel
hep-th/9405049
Lie Superalgebra and Extended Topological Conformal Symmetry in Non-critical $W_{3}$ Strings
We obtain a new free field realization of $N=2$ super $W_{3}$ algebra using the technique of quantum hamiltonian reduction. The construction is based on a particular choice of the simple root system of the affine Lie superalgebra $sl(3|2)^{(1)}$ associated with a non-standard $sl(2)$ embedding. After twisting and a sim...
1994-05-09
2015-06-26
[ "hep-th" ]
Katsushi Ito and Hiroaki Kanno
hep-th/9405054
Algebraic and geometric aspects of generalized quantum dynamics
\noindent We briefly discuss some algebraic and geometric aspects of the generalized Poisson bracket and non--commutative phase space for generalized quantum dynamics, which are analogous to properties of the classical Poisson bracket and ordinary symplectic structure.
1994-05-09
2009-10-28
[ "hep-th" ]
S.L. Adler and Yong-Shi Wu
hep-th/9405052
The Scattering of Strings in a Black-Hole Background
In this paper, correlation functions of tachyons in the two-dimensional black-hole are studied. The results are shown to be consistent with the prediction of the deformed matrix model.
1994-05-09
2009-10-28
[ "hep-th" ]
Ulf H. Danielsson
hep-th/9405057
$W_{\infty}$ Algebras in the Quantum Hall Effect
We show that a large class of incompressible quantum Hall states correspond to different representations of the \Winf algebra by explicit construction of the second quantized generators of the algebra in terms of fermion and vortex operators. These are parametrized by a set of integers which are related to the filling ...
1994-05-09
2009-10-28
[ "hep-th", "cond-mat" ]
Dimitra Karabali
hep-th/9405050
Topics in Hidden Symmetries
These three topics are an attempt to explicate some curiosities of the inverse problem of representation theory (i.e. having a set of operators to describe the "correct" algebraic object, which is represented by them) on simple examples related to the Lie algebra sl(2,C). Such consideration maybe regarded as toy one fo...
1994-05-09
2008-02-03
[ "hep-th", "alg-geom", "math.AG" ]
Denis Juriev
hep-th/9405055
Renormalization Group Flow of Four-fermi with Chern-Simons Interaction
We introduce Chern-Simons interaction into the three dimensional four-fermi theory, ad suggest a possible line of non-Gaussian infrared stable fixed points of the four-fermi operator, this line is characterized by the Chern-Simons coupling.
1994-05-09
2015-06-26
[ "hep-th", "cond-mat", "hep-ph" ]
Wei Chen (Univ of North Carolina at Chapel Hill)
hep-th/9405053
Anomalous dimensions and ghost decoupling in a perturbative approach to the generalized chiral Schwinger model
A generalized chiral Schwinger model is studied by means of perturbative techniques. Explicit expressions are obtained, both for bosonic and fermionic propagators, and compared to the ones derived by means of functional techniques. In particular a consistent recipe is proposed to describe the ambiguity occurring in the...
1994-05-09
2009-10-28
[ "hep-th" ]
A. Bassetto and L. Griguolo
hep-th/9405048
Supersymmetry, Path Integration, and the Atiyah-Singer Index Theorem
A new supersymmetric proof of the Atiyah-Singer index theorem is presented. The Peierls bracket quantization scheme is used to quantize the supersymmetric classical system corresponding to the index problem for the twisted Dirac operator. The problem of factor ordering is addressed and the unique quantum system that is...
1994-05-08
2007-05-23
[ "hep-th" ]
Ali Mostafazadeh, Uni. Texas Dissertation, 115 pages, UT-diss-1994
hep-th/9405051
Higher-Order Derivative Susy in Quantum Mechanics with Large Energy Shifts
Within the framework of second order derivative (one dimensional) SUSYQM we discuss particular realizations which incorporate large energy shifts between the lowest states of the spectrum of the superhamiltonian (of Schr\"odinger type). The technique used in this construction is based on the "gluing" procedure. We stud...
1994-05-07
2015-06-26
[ "hep-th", "nucl-th" ]
A.A. Andrianov, F. Cannata and M.V. Ioffe
hep-th/9405043
Eleventh-Order Calculation of Green's Functions in the Ising Limit for Arbitrary Space-Time Dimension $D$
This paper extends an earlier high-temperature lattice calculation of the renormalized Green's functions of a $D$-dimensional Euclidean scalar quantum field theory in the Ising limit. The previous calculation included all graphs through sixth order. Here, we present the results of an eleventh-order calculation. The ext...
1994-05-06
2009-10-28
[ "hep-th" ]
Carl M. Bender and Stefan Boettcher
hep-th/9405046
Topological Selection of World Manifolds for a P-Brane in a BF--Field
We study the interaction between a $p$-brane and $BF$ system constituted by a $(p+1)$-form and a $n-(p+2)$-form B with a metric independent action on a manifold $M^n$. We identify the allowed $(p+1)$-world manifolds sweeped by the $p$-brane as those restricted by the topological condition of being the boundaries of cha...
1994-05-06
2009-09-25
[ "hep-th" ]
Juan Pablo Lupi, Alvaro Restuccia and Jorge Stephany
hep-th/9405045
Group-like Structures in Quantum Lie Algebras and the Process of Quantization
For a certain class of Lie bialgebras $(A,A^*)$ the corresponding quantum universal enveloping algebras $U_q(A)$ are prooved to be equivalent to quantum groups Fun$_q(F^*)$, $F^*$ being the factor group for the dual group $G^*$. This property can be used to simplify the process of quantization. The described class appe...
1994-05-06
2008-02-03
[ "hep-th", "alg-geom", "math.QA" ]
V. D. Lyakhovsky
hep-th/9405044
The Role of Solvable Groups in Quantization of Lie Algebras
The elements of the wide class of quantum universal enveloping algebras are prooved to be Hopf algebras $H$ with spectrum $Q(H)$ in the category of groups. Such quantum algebras are quantum groups for simply connected solvable Lie groups $P(H)$. This provides utilities for a new algorithm of constructing quantum algebr...
1994-05-06
2016-09-06
[ "hep-th", "alg-geom", "math.AG" ]
V. D. Lyakhovsky
hep-th/9405041
Pathspace Decompositions for the Virasoro Algebra and its Verma Modules
Starting from a detailed analysis of the structure of pathspaces of the ${\cal A}$-fusion graphs and the corresponding irreducible Virasoro algebra quotients $V(c,h)$ for the ($2,q$ odd) models, we introduce the notion of an admissible pathspace representation. The pathspaces ${\cal P_A}$ over the ${\cal A}$-Graphs are...
1994-05-06
2015-06-26
[ "hep-th" ]
Ralph M. Kaufmann
hep-th/9405047
Canonical Covariant Formulation of Green-Schwarz Superstring without Second Class Constraints
We describe a canonical covariant formulation of the Green-Schwarz Superstring which allows the construction of a new covariant action canonically equivalent to the Green-Schwarz action but subjected only to first class constraints. From this action the correct BRST operator for the quantization of the Green-Schwarz Su...
1994-05-06
2009-10-28
[ "hep-th" ]
Alvaro Restuccia and Jorge Stephany
hep-th/9405039
The N=1 superstring as a topological field theory
By "untwisting" the construction of Berkovits and Vafa, one can see that the N=1 superstring contains a topological twisted N=2 algebra, with central charge c^ = 2. We discuss to what extent the superstring is actually a topological theory.
1994-05-06
2014-11-18
[ "hep-th" ]
Neil Marcus
hep-th/9405040
Multimomentum Hamiltonian Formalism in Field Theory. Geometric Supplementary
The well-known geometric approach to field theory is based on description of classical fields as sections of fibred manifolds, e.g. bundles with a structure group in gauge theory. In this approach, Lagrangian and Hamiltonian formalisms including the multiomentum Hamiltonian formalism are phrased in terms of jet manifol...
1994-05-06
2007-05-23
[ "hep-th" ]
G.Sardanashvily
hep-th/9405037
Linear Time-Dependent Invariants for Scalar Fields and Noether's Theorem
The infinite number of time-dependent linear in field and conjugated momenta invariants is derived for the scalar field using the Noether's theorem procedure.
1994-05-05
2015-06-26
[ "hep-th" ]
O. Casta\~nos, R. L\'opez-Pe\~na and V.I. Man'ko
hep-th/9405030
On the Construction of Trigonometric Solutions of the Yang-Baxter Equation
We describe the construction of trigonometric R-matrices corresponding to the (multiplicity-free) tensor product of any two irreducible representations of a quantum algebra $U_q(\G)$. Our method is a generalization of the tensor product graph method to the case of two different representations. It yields the decomposit...
1994-05-05
2009-10-28
[ "hep-th" ]
Gustav W. Delius, Mark D. Gould and Yao-Zhong Zhang
hep-th/9405034
Vertex Operators and Soliton Time Delays in Affine Toda Field Theory
In a space-time of two dimensions the overall effect of the collision of two solitons is a time delay (or advance) of their final trajectories relative to their initial trajectories. For the solitons of affine Toda field theories, the space-time displacement of the trajectories is proportional to the logarithm of a num...
1994-05-05
2011-07-19
[ "hep-th" ]
A. Fring, P.R. Johnson, M.A.C. Kneipp and D.I. Olive
hep-th/9405035
Enumeration of rational curves via torus actions
This paper contains an attempt to formulate rigorously and to check predictions in enumerative geometry of curves following from Mirror Symmetry. The main tool is a new notion of stable map. We give an outline of a contsruction of Gromov-Witten invariants for all algebraic projective or closed symplectic manifolds. Mir...
1994-05-05
2008-02-03
[ "hep-th", "alg-geom", "math.AG" ]
M. Kontsevich
hep-th/9405038
Integral formulas for wave functions of quantum many-body problems and representations of gl(n)
We derive explicit integral formulas for eigenfunctions of quantum integrals of the Calogero-Sutherland-Moser operator with trigonometric interaction potential. In particular, we derive explicit formulas for Jack's symmetric functions. To obtain such formulas, we use the representation of these eigenfunctions by means ...
1994-05-05
2009-10-28
[ "hep-th", "math.QA" ]
Pavel Etingof
hep-th/9405033
The Angular Momentum Operator in the Dirac Equation
The Dirac equation in spherically symmetric fields is separated in two different tetrad frames. One is the standard cartesian (fixed) frame and the second one is the diagonal (rotating) frame. After separating variables in the Dirac equation in spherical coordinates, and solving the corresponding eingenvalues equations...
1994-05-05
2009-10-28
[ "hep-th" ]
Victor M. Villalba
hep-th/9405036
Wigner Functional Approach to Quantum Field Dynamics
We introduce the Wigner functional representing a quantum field in terms of the field amplitudes and their conjugate momenta. The equation of motion for the functional of a scalar field point out the relevance of solutions of the classical field equations to the time evolution of the quantum field. We discuss the field...
1994-05-05
2010-11-01
[ "hep-th", "hep-ph" ]
S. Mrowczynski and B. Mueller
hep-th/9405019
Fusion of \ade Lattice Models
Fusion hierarchies of \ade face models are constructed. The fused critical $D$, $E$ and elliptic $D$ models yield new solutions of the Yang-Baxter equations with bond variables on the edges of faces in addition to the spin variables on the corners. It is shown directly that the row transfer matrices of the fused models...
1994-05-04
2015-06-26
[ "hep-th" ]
Yu-kui Zhou and Paul A. Pearce
hep-th/9405022
Gravity and Discrete Symmetry
Using the differential calculus on discrete group, we study the general relativity in the space-time which is the product of a four dimensional manifold by a two-point space. We generalize the usual concept of frame and connection in our space-time, and from the generalized torsion free condition we obtain an action of...
1994-05-04
2017-02-01
[ "hep-th" ]
Bin Chen, Takesi Saito and Ke Wu