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hep-th/9308156
Particle/String field theory induced by W-gravity non-linear sigma models and the Grand String Symmetry
Preliminary investigations of the topological phase of string theory along the lines of a (restricted) $\dot{w}_{\infty}$ non-linear sigma model are provided. Gauge fixing the w gravity gauge fields by preserving a geometric identity Lorenz covariantizes the w-particle and gauge covariantizes the YM. The notion of foli...
1993-08-31
2007-05-23
[ "hep-th" ]
H. Gasparakis
hep-th/9308155
Quantization and the Issue of Time for Various Two-Dimensional Models of Gravity
It is shown that the models of 2D Liouville Gravity, 2D Black Hole- and $R^2$-Gravity are {\em embedded} in the Katanaev-Volovich model of 2D NonEinsteinian Gravity. Different approaches to the formulation of a quantum theory for the above systems are then presented: The Dirac constraints can be solved exactly in the...
1993-08-31
2011-04-15
[ "hep-th" ]
Thomas Strobl
hep-th/9308157
Coherent States of $SU(l,1)$ groups
This work can be considered as a continuation of our previous one (J.Phys., 26 (1993) 313), in which an explicit form of coherent states (CS) for all SU(N) groups was constructed by means of representations on polynomials. Here we extend that approach to any SU(l,1) group and construct explicitly corresponding CS. The ...
1993-08-31
2009-10-22
[ "hep-th" ]
D.M.Gitman and A.L.Shelepin (Institute of Physics University of S\~ao Paulo)
hep-th/9308152
On String Tunneling in Power Law Inflationary Universes
We consider the evolution of circular string loops in power law expanding universes represented by a spatially flat Friedman-Robertson-Walker metric with scale factor $a(t)\propto t^p$ where $t$ is the cosmic time and $p\geq 0$. Our main result is the existence of a "magic" power $p_m=3+2\sqrt{2}$. In spacetimes with $...
1993-08-31
2009-10-22
[ "hep-th" ]
A.L. Larsen and Minos Axenides
hep-th/9308154
On Nonabelian Duality
We show that nonabelian duality is not a symmetry of a conformal field theory, but rather a symmetry between different theories. We expose a nonlocal symmetry of nonabelian dual theories. We show how, in the case with vanishing isotropy, it can be used to find the inverse dual transformation. Finally, we consider a num...
1993-08-31
2009-10-22
[ "hep-th" ]
Amit Giveon and Martin Rocek
hep-th/9308153
Quasifinite highest weight modules over the Lie algebra of differential operators on the circle
We classify positive energy representations with finite degeneracies of the Lie algebra $W_{1+\infty}\/$ and construct them in terms of representation theory of the Lie algebra $\hatgl ( \infty R_m )\/$ of infinite matrices with finite number of non-zero diagonals over the algebra $R_m = \C [ t ] / ( t^{m + 1} )\/$. Th...
1993-08-31
2016-09-06
[ "hep-th", "math.QA" ]
Victor G. Kac and A. Radul
hep-th/9308143
Linear $r$-Matrix Algebra for Systems Separable\\ in Parabolic Coordinates
We consider a hierarchy of many particle systems on the line with polynomial potentials separable in parabolic coordinates. Using the Lax representation, written in terms of $2\times 2$ matrices for the whole hierarchy, we construct the associated linear $r$-matrix algebra with the $r$-matrix dependent on the dynamical...
1993-08-30
2009-10-22
[ "hep-th" ]
J.C.Eilbeck, V.Z.Enol'skii, V.B.Kuznetsov, and D.V.Leykin
hep-th/9308147
From A_m Trigonometric S-Matrices to the Thermodynamic Bethe Ansatz
The thermodynamic Bethe Ansatz equations that have been proposed to describe massive integrable deformations of the coset conformal field theories $g_k\times g_l/g_{k+l}$ are shown to result directly by applying the usual thermodynamic Bethe Ansatz arguments to the trigonometric $S$-matrices for the algebras $g=a_{m-1}...
1993-08-30
2009-10-22
[ "hep-th" ]
T.J. Hollowood
hep-th/9308146
Finite and Infinite W Algebras and their Applications
In this paper we present a systematic study of $W$ algebras from the Hamiltonian reduction point of view. The Drinfeld-Sokolov (DS) reduction scheme is generalized to arbitrary $sl_2$ embeddings thus showing that a large class of W algebras can be viewed as reductions of affine Lie algebras. The hierarchies of integrab...
1993-08-30
2007-05-23
[ "hep-th" ]
T.Tjin
hep-th/9308145
Subfactors and coset models
Some facts about von Neumann algebras and finite index inclusions of factors are viewed in the context of local quantum field theory. The possibility of local fields intertwining superselection sectors with braid group statistics is explored. Conformal embeddings and coset models serve as examples. The associated symme...
1993-08-30
2007-05-23
[ "hep-th" ]
K.-H. Rehren
hep-th/9308149
Investigation of Discrete Gauge Anomalies in String Theory
In string theory, there are no continuous global symmetries. Discrete symmetries frequently appear, and these can often be understood as unbroken subgroups of larger, spontaneously broken gauge symmetries (discrete gauge symmetries). In cases which have been studied previously, anomalies in these symmetries could alway...
1993-08-30
2007-05-23
[ "hep-th" ]
D.A. MacIntire
hep-th/9308142
Representations of U(1,q) and Constructive Quaternion Tensor Products
The representation theory of the group U(1,q) is discussed in detail because of its possible application in a quaternion version of the Salam-Weinberg theory. As a consequence, from purely group theoretical arguments we demonstrate that the eigenvalues must be right-eigenvalues and that the only consistent scalar pro...
1993-08-30
2008-11-26
[ "hep-th" ]
S. De Leo and P. Rotelli
hep-th/9308141
Poisson Bracket on the Space of Histories
We extend the Poisson bracket from a Lie bracket of phase space functions to a Lie bracket of functions on the space of canonical histories and investigate the resulting algebras. Typically, such extensions define corresponding Lie algebras on the space of Lagrangian histories via pull back to a space of partial soluti...
1993-08-30
2009-10-22
[ "hep-th", "gr-qc" ]
Donald Marolf
hep-th/9308144
News from the Virasoro algebra
It is shown that the local quantum field theory of the chiral energy- momentum tensor with central charge $c=1$ coincides with the gauge invariant subtheory of the chiral $SU(2)$ current algebra at level 1, where the gauge group is the global $SU(2)$ symmetry. At higher level, the same scheme gives rise to $W$-algebra ...
1993-08-30
2009-10-22
[ "hep-th" ]
K.-H. Rehren
hep-th/9308148
On the Addition of Quantum Matrices
We introduce an addition law for the usual quantum matrices $A(R)$ by means of a coaddition $\underline{\Delta} t=t\otimes 1+1\otimes t$. It supplements the usual comultiplication $\Delta t=t\otimes t$ and together they obey a codistributivity condition. The coaddition does not form a usual Hopf algebra but a braided o...
1993-08-30
2009-10-22
[ "hep-th", "math.QA" ]
Shahn Majid
hep-th/9308150
The Generalized Peierls Bracket
We first extend the Peierls algebra of gauge invariant functions from the space ${\cal S}$ of classical solutions to the space ${\cal H}$ of histories used in path integration and some studies of decoherence. We then show that it may be generalized in a number of ways to act on gauge dependent functions on ${\cal H}$. ...
1993-08-30
2010-11-01
[ "hep-th", "gr-qc" ]
Donald Marolf
hep-th/9308140
On the equivalence between the unified and standard versions of constraint dynamics
The structure of physical operators and states of the unified constraint dynamics is studied. The genuine second--class constraints encoded are shown to be the superselection operators. The unified constrained dynamics is established to be physically--equivalent to the standard BFV--formalism with constraints split.
1993-08-29
2015-06-26
[ "hep-th" ]
I.A.Batalin and I.V.Tyutin
hep-th/9308132
BRST model applied to symplectic geometry
Two local macros are included (gothic.sty and fleqn.sty)
1993-08-27
2008-02-03
[ "hep-th", "math.SG" ]
Jaap Kalkman
hep-th/9308133
Manifest Duality in Low-Energy Superstrings
String theories inspire a new formalism for their low-energy limits. In this approach to these field theories, spacetime duality and stringy left/right handedness are manifest. Enlarged tangent-space symmetries allow the different fields (graviton, axion, Yang-Mills) to be treated as a single multiplet, even in the bos...
1993-08-27
2007-05-23
[ "hep-th" ]
W. Siegel
hep-th/9308137
The $n$-component KP hierarchy and representation theory
Starting from free charged fermions we give equivalent definitions of the $n\/$-component KP hierarchy, in terms of $\tau\/$-functions $\tau_\alpha\/$ (where $\alpha \in M =\/$ root lattice of $sl_n\/$), in terms of $n \times n\/$ matrix valued wave functions $W_\alpha(\alpha\in M)\/$, and in terms of pseudodifferentia...
1993-08-27
2009-10-22
[ "hep-th" ]
V.G. Kac and J.W. van de Leur
hep-th/9308139
Strings, Black Holes and Lorentz Contraction
Consistency of quantum mechanics in black hole physics requires unusual Lorentz transformation properties of the size and shape of physical systems with momentum beyond the Planck scale. A simple parton model illustrates the kind of behavior which is needed. It is then shown that conventional fundamental string theory ...
1993-08-27
2009-10-07
[ "hep-th" ]
Leonard Susskind
hep-th/9308131
Cosmological String Solutions in 4 Dimensions from 5d Black Holes
We obtain cosmological four dimensional solutions of the low energy effective string theory by reducing a five dimensional black hole, and black hole--de Sitter solution of Einstein gravity down to four dimensions. The appearance of a cosmological constant in the five dimensional Einstein--Hilbert action produces a spe...
1993-08-27
2009-10-22
[ "hep-th", "gr-qc" ]
K. Behrndt, S. Foerste
hep-th/9308129
The Ten-Dimensional Green-Schwarz Superstring is a Twisted Neveu-Schwarz-Ramond String
An action for the ten-dimensional Green-Schwarz superstring with N=2 worldsheet superconformal invariance has recently been used to calculate superstring scattering amplitudes and prove their finiteness. In this paper, it is shown that the N=2 stress-energy tensor for this Green-Schwarz action can be constructed out of...
1993-08-27
2009-10-22
[ "hep-th" ]
Nathan Berkovits
hep-th/9308134
The Many Faces of the Quantum Liouville Exponentials
First, it is proven that the three main operator-approaches to the quantum Liouville exponentials --- that is the one of Gervais-Neveu (more recently developed further by Gervais), Braaten-Curtright-Ghandour-Thorn, and Otto-Weigt --- are equivalent since they are related by simple basis transformations in the Fock spac...
1993-08-27
2009-10-22
[ "hep-th" ]
Jean-Loup Gervais, Jens Schnittger
hep-th/9308135
A String Project in Multicolour QCD
Some old and new evidence for the existence of the string (planar random surfaces) representation of multicolour QCD are reviewed. They concern the random surface representation of the strong coupling expansion in lattice multicolour gauge theory in any dimension. Our old idea of modified strong coupling expansion in t...
1993-08-27
2016-11-03
[ "hep-th" ]
Vladimir Kazakov
hep-th/9308128
A Ten-Dimensional Super-Yang-Mills Action with Off-Shell Supersymmetry
After adding seven auxiliary scalar fields, the action for ten-dimensional super-Yang-Mills contains an equal number of bosonic and fermionic non-gauge fields. Besides being manifestly Lorentz and gauge-invariant, this action contains nine spacetime supersymmetries whose algebra closes off-shell. Octonions provide a co...
1993-08-27
2009-10-22
[ "hep-th" ]
Nathan Berkovits
hep-th/9308138
Some quantum analogues of solvable Lie groups
In this paper we analyze the structure of some subalgebras of quantized enveloping algebras corresponding to unipotent and solvable subgroups of a simple Lie group G. These algebras have the non--commutative structure of iterated algebras of twisted polynomials with a derivation, an object which has often appeared in t...
1993-08-27
2008-02-03
[ "hep-th", "math.QA" ]
C. De Concini, Victor G. Kac, and C. Procesi
hep-th/9308130
Conformal- and Thermodynamic Properties of a Family of Thirring-like Models
We investigate Thirring-like models containing fermionic and scalar fields propagating in 2-dimensional space time. The corresponding conformal algebra is studied and we disprove a conjecture relating the finite size effects to the central charge. Some new results concerning the fermionic determinant on the torus with ...
1993-08-27
2009-10-22
[ "hep-th" ]
I. Sachs, A. Wipf and A. Dettki
hep-th/9308136
Proof of Jacobi identity in generalized quantum dynamics
We prove that the Jacobi identity for the generalized Poisson bracket is satisfied in the generalization of Heisenberg picture quantum mechanics recently proposed by one of us (SLA). The identity holds for any combination of fermionic and bosonic fields, and requires no assumptions about their mutual commutativity.
1993-08-27
2010-11-01
[ "hep-th" ]
S.L. Adler, G.V. Bhanot, J.D. Weckel
hep-th/9308123
Fixed Point Structure for 3 dimensional rigid string
We show that the usual fixed point for 3-d rigid string with topological term appears to be a trivial one, consisting of two decoupled conformal field theories. We further argue that by involving an additional term allowed by symmetries and thus generated by RG, the theory appears to exhibit a new fixed point with expe...
1993-08-26
2007-05-23
[ "hep-th" ]
Weidong Zhao
hep-th/9308121
Extending the Theory of Random Surfaces
The theory of embedded random surfaces, equivalent to two--dimensional quantum gravity coupled to matter, is reviewed, further developed and partly generalized to four dimensions. It is shown that the action of the Liouville field theory that describes random surfaces contains terms that have not been noticed previousl...
1993-08-26
2007-05-23
[ "hep-th" ]
Christof Schmidhuber, Caltech Ph.D. thesis
hep-th/9308122
Mirror Symmetry, Mirror Map and Applications to Calabi-Yau Hypersurfaces
Mirror Symmetry, Picard-Fuchs equations and instanton corrected Yukawa couplings are discussed within the framework of toric geometry. It allows to establish mirror symmetry of Calabi-Yau spaces for which the mirror manifold had been unavailable in previous constructions. Mirror maps and Yukawa couplings are explicitly...
1993-08-26
2010-11-01
[ "hep-th", "alg-geom", "math.AG" ]
S. Hosono (1), A. Klemm (2), S. Theisen (2), S.-T. Yau (1) ((1) Dept. of Mathematics, Harvard University; (2) Sektion Physik der Universit\"at M\"unchen)
hep-th/9308127
Twisting to Abelian BF/Chern-Simons Theories
Starting from a $D=3$, $N=4$ supersymmetric theory for matter fields, a twist with a Grassmann parity change is defined which maps the theory into a gauge fixed, abelian $BF$ theory on curved 3-manifolds. After adding surface terms to this theory, the twist is seen to map the resulting supersymmetric action to two unco...
1993-08-26
2009-10-22
[ "hep-th" ]
R. Brooks, J.-G. Demers and C. Lucchesi
hep-th/9308125
Liouville Theory: Quantum Geometry of Riemann Surfaces
Inspired by Polyakov's original formulation of quantum Liouville theory through functional integral, we analyze perturbation expansion around a classical solution. We show the validity of conformal Ward identities for puncture operators and prove that their conformal dimension is given by the classical expression. We a...
1993-08-26
2015-06-26
[ "hep-th" ]
Leon Takhtajan
hep-th/9308126
Topological Field Theory As The Key To Quantum Gravity
Motivated by the similarity between CSW theory and the Chern Simons state for General Relativity in the Ashtekar variables, we explore what the universe would look like if it were in a state corresponding to a 3D TQFT. We end up with a construction of propagating ststes for parts of the universe and a Hilbert space cor...
1993-08-26
2007-05-23
[ "hep-th" ]
Louis Crane
hep-th/9308120
Running Coupling Constants in 2D Gravity
The renormalization group flow in two--dimensional field theories that are coupled to gravity is discussed at the example of the sine-Gordon model. In order to derive the phase diagram in agreement with the matrix model results, it is necessary to generalize the theory of David, Distler and Kawai.
1993-08-26
2007-05-23
[ "hep-th" ]
Christof Schmidhuber
hep-th/9308117
The Consistency of Topological Expansions in Field Theory: `BRST Anomalies' in Strings and Yang-Mills
Many field theories of physical interest have configuration spaces consisting of disconnected components. Quantum mechanical amplitudes are then expressed as sums over these components. We use the Faddeev-Popov approach to write the terms in this topological expansion as moduli space integrals. A cut-off is needed when...
1993-08-25
2009-10-22
[ "hep-th" ]
Paul Mansfield
hep-th/9308116
Continuum Strong Coupling Expansion of Yang-Mills Theory: Quark Confinement and Infra-Red Slavery
We solve Schr\"odinger's equation for the ground-state of {\it four}-dimensional Yang-Mills theory as an expansion in inverse powers of the coupling. Expectation values computed with the leading order approximation are reduced to a calculation in {\it two}-dimensional Yang-Mills theory which is known to confine. Conseq...
1993-08-25
2008-11-26
[ "hep-th" ]
Paul Mansfield
hep-th/9308119
Coherent States, Dynamics and Semiclassical Limit on Quantum Groups
Coherent states on the quantum group $SU_q(2)$ are defined by using harmonic analysis and representation theory of the algebra of functions on the quantum group. Semiclassical limit $q\rightarrow 1$ is discussed and the crucial role of special states on the quantum algebra in an investigation of the semiclassical limit...
1993-08-25
2010-11-01
[ "hep-th" ]
I.Ya. Aref'eva, R. Parthasarathy, K.S. Viswanathan and I.V. Volovich
hep-th/9308118
Quantum Limits in Interferometric GW Antennas in the Presence of Even and Odd coherent states
We discuss a model for interferometric GW antennas without dissipative or active elements. It is predicted that the even and odd coherent states may play an alternative role to squeezed vacuum states in reducing the optimal power of the input laser.
1993-08-25
2009-10-22
[ "hep-th" ]
Nadeem A. Ansari, L. Di Fiore, M. A. Man'ko, V.I. Man'ko, S. Solimeno and F. Zaccaria
hep-th/9308115
Consistent axial--like gauge fixing on hypertori
We analyze the Gribov problem for $\SU(N)$ and $\U(N)$ Yang-Mills fields on $d$-dimensional tori, $d=2,3,\ldots$. We give an improved version of the axial gauge condition and find an infinite, discrete group $\cG'=\Z^{dr}\rtimes({\Z_2}^{N-1}\rtimes\Z_2)$, where $r=N-1$ for $\GG=\SU(N)$ and $r=N$ for $\GG=\U(N)$, contai...
1993-08-25
2010-11-01
[ "hep-th" ]
Edwin Langmann, Manfred Salmhofer and Alex Kovner
hep-th/9308111
Mechanics as Geometry?
Talk given at the Workshop on "Constraint Theory and Quantization Methods"; Montepulciano, Italy, June 1993 --- Instead of attempting to give a summary or to identify highlights of the workshop, the history of the development of analytical mechanics is outlined, with an emphasis on the themes of \lq natural motion' and...
1993-08-24
2007-05-23
[ "hep-th" ]
John M Charap
hep-th/9308114
Higher-spin strings and W minimal models
We study the spectrum of physical states for higher-spin generalisations of string theory, based on two-dimensional theories with local spin-2 and spin-$s$ symmetries. We explore the relation of the resulting effective Virasoro string theories to certain $W$ minimal models. In particular, we show how the highest-weight...
1993-08-24
2010-04-06
[ "hep-th" ]
H. Lu, C.N. Pope, K. Thielemans and X.J. Wang
hep-th/9308112
A Problem with Non-Abelian Duality
We investigate duality transformations in a class of backgrounds with non-Abelian isometries, i.e. Bianchi-type (homogeneous) cosmologies in arbitrary dimensions. Simple duality transformations for the metric and the antisymmetric tensor field, generalizing those known from the Abelian isometry (Bianchi I) case, are ob...
1993-08-24
2009-10-22
[ "hep-th" ]
M. Gasperini R. Ricci G. Veneziano
hep-th/9308110
Conformal Invariance in Classical Field Theory
A geometric generalization of first-order Lagrangian formalism is used to analyse a conformal field theory for an arbitrary primary field. We require that global conformal transformations are Noetherian symmetries and we prove that the action functional can be taken strictly invariant with respect to these transformati...
1993-08-24
2015-06-26
[ "hep-th" ]
D. R. Grigore
hep-th/9308113
Flows for rectangular matrix models
Several new results on the multicritical behavior of rectangular matrix models are presented. We calculate the free energy in the saddle point approximation, and show that at the triple-scaling point, the result is the same as that derived from the recursion formulae. In the triple-scaling limit, we obtain the string e...
1993-08-24
2010-11-01
[ "hep-th" ]
Rene Lafrance and Robert C. Myers
hep-th/9308106
Free and self-interacting scalar fields in the presence of conical singularities
Free and self-interacting scalar fields in the presence of conical singularities are analized in some detail. The role of such a kind of singularities on free and vacuum energy and also on the one-loop effective action is pointed out using $\zeta$-function regularization and heat-kernel techniques.
1993-08-23
2009-10-22
[ "hep-th" ]
Guido Cognola, Klaus Kirsten and Luciano Vanzo
hep-th/9308109
Quadrics on Complex Riemannian Spaces of Constant Curvature, Separation of Variables and the Gaudin Magnet
We consider integrable systems that are connected with orthogonal separation of variables in complex Riemannian spaces of constant curvature. An isomorphism with the hyperbolic Gaudin magnet, previously pointed out by one of us, extends to coordinates of this type. The complete classification of these separable coordin...
1993-08-23
2012-08-27
[ "hep-th" ]
E.G.Kalnins, V.B.Kuznetsov and Willard Miller, Jr
hep-th/9308108
A search for exact superstring vacua
We investigate $2d$ sigma-models with a $2+N$ dimensional Minkowski signature target space metric and Killing symmetry, specifically supersymmetrized, and see under which conditions they might lead to corresponding exact string vacua. It appears that the issue relies heavily on the properties of the vector $M_{\mu}$, a...
1993-08-23
2007-05-23
[ "hep-th" ]
A. Petermann, A. Zichichi
hep-th/9308107
Illusory Quantum Hair
We analyze the quantum hair model proposed recently by Coleman, Preskill and Wilczek. We give arguments suggesting that the potential hair is expected to be destroyed by the instability of the black-hole. We also discuss the general implications of such arguments on the prospects for formulating a quantum extension o...
1993-08-23
2007-05-23
[ "hep-th" ]
A. Casher and O. Pelc
hep-th/9308105
Constructing N=2 Superconformal Algebras out of N=1 Affine Lie Algebras
We study the problem of constructing N=2 superconformal algebras out of an N=1 affine Lie algebra. Following a recent independent observation of Getzler and the author, we derive a simplified set of N=2 master equations, which we then proceed to solve for the case of sl(2). There is a unique construction for all noncri...
1993-08-22
2020-10-19
[ "hep-th" ]
Jos\'e M. Figueroa-O'Farrill
hep-th/9308104
An approach to quantum gravity from 4-$\epsilon$ dimension
A calculational scheme of quantum-gravitational effects on the physical quantities is proposed. The calculations are performed in 4-$\epsilon$ dimension with $1/N$-expansion scheme, where the Einstein gravity is renormalizable and it has an ultraviolet fixed-point within the 1/N-expansion. In order to perform a consist...
1993-08-21
2009-10-22
[ "hep-th" ]
Kazuo Ghoroku
hep-th/9308103
Statistical Mechanics of Kinks in (1+1)-Dimensions: Numerical Simulations and Double Gaussian Approximation
We investigate the thermal equilibrium properties of kinks in a classical $\F^4$ field theory in $1+1$ dimensions. From large scale Langevin simulations we identify the temperature below which a dilute gas description of kinks is valid. The standard dilute gas/WKB description is shown to be remarkably accurate below th...
1993-08-21
2009-10-22
[ "hep-th", "cond-mat" ]
Francis J. Alexander, Salman Habib, and Alex Kovner
hep-th/9308098
Chiral Splitting at Work
Second-order equations of motion on a group manifold that appear in a large class of so-called chiral theories are presented. These equations are presented and explicitely solved for cases of semi-simple, finite-dimensional Lie groups. With three figures avaliable from the authors upon request.
1993-08-20
2007-05-23
[ "hep-th" ]
Z.Hasiewicz and P.Siemion
hep-th/9308101
The KP Equation from Plebanski and $SU(\infty)$ Self-Dual Yang-Mills
Starting from a self-dual $SU(\infty)$ Yang-Mills theory in $(2+2)$ dimensions, the Plebanski second heavenly equation is obtained after a suitable dimensional reduction. The self-dual gravitational background is the cotangent space of the internal two-dimensional Riemannian surface required in the formulation of $SU(\...
1993-08-20
2007-05-23
[ "hep-th" ]
Carlos Castro (I.A.E.C 1407 Alegria, Austin, Texas USA)
hep-th/9308100
Gedanken Experiments involving Black Holes
Analysis of several gedanken experiments indicates that black hole complementarity cannot be ruled out on the basis of known physical principles. Experiments designed by outside observers to disprove the existence of a quantum-mechanical stretched horizon require knowledge of Planck-scale effects for their analysis. Ob...
1993-08-20
2009-10-07
[ "hep-th" ]
L. Susskind and L. Thorlacius
hep-th/9308097
Positive Definite Gravitational Action, Cosmological Constant and Superstring Theory
We use the recently discovered universality of Einstein equations in the first order formalism to suggest a positive definite Euclidean action. Possible implications for quantum gravity are considered. We discuss the Hawking and Coleman approach to the vanishing of the cosmological constant by using the new action and ...
1993-08-20
2007-05-23
[ "hep-th", "gr-qc" ]
I.V.Volovich
hep-th/9308095
Weyl Invariance and Spurious Black Hole in Two-Dimensional Dilaton Gravity
In two-dimensional dilaton gravity theories, there may exist a global Weyl invariance which makes black hole spurious. If the global invariance and the local Weyl invariance of the matter coupling are intact at the quantum level, there is no Hawking radiation. We explicitly verify the absence of anomalies in these symm...
1993-08-20
2015-06-26
[ "hep-th" ]
Takanori Fujiwara, Yuji Igarashi and Jisuke Kubo
hep-th/9308099
Simplicial Gravity Coupled to Scalar Matter
A model for quantized gravity coupled to matter in the form of a single scalar field is investigated in four dimensions. For the metric degrees of freedom we employ Regge's simplicial discretization, with the scalar fields defined at the vertices of the four-simplices. We examine how the continuous phase transition fou...
1993-08-20
2009-10-22
[ "hep-th" ]
Herbert W. Hamber (UC Irvine) and Ruth M. Williams (DAMTP, Cambridge)
hep-th/9308102
W Gravity, $N=2$ Strings and $ 2+2~SU^*(\infty)$
We conjecture that $W$ gravity can be interpreted as the gauge theory of $\phi$ diffeomorphisms in the space of dimensionally-reduced $D=2+2$ $SU^*(\infty)$ Yang-Mills instantons. These $\phi$ diffeomorphisms preserve a volume-three form and are those which furnish the correspondence between the dimensionally-reduced P...
1993-08-20
2009-10-22
[ "hep-th" ]
Yang-Mills Instantons Carlos Castro (I.A.E.C 1407 Alegria, Austin, Texas Usa)
hep-th/9308092
A New Solution of the Yang-Baxter Equation Related to the Adjoint Representation of $U_{q}B_{2}$
A new solution of the Yang-Baxter equation, that is related to the adjoint representation of the quantum enveloping algebra $U_{q}B_{2}$, is obtained by fusion formulas from a non-standard solution.
1993-08-19
2009-10-22
[ "hep-th" ]
Zhong-Qi Ma and An-Ying Dai
hep-th/9308094
Geometrical String and Spin Systems
We formulate a new geometrical string on the euclidean lattice. It is possible to find such spin systems with local interaction which reproduce the same surface dynamics.In the three-dimensional case this spin system is a usual Ising ferromagnet with additional diagonal antiferromagnetic interaction and with specially ...
1993-08-19
2009-10-22
[ "hep-th" ]
G.K.Savvidy and F.J.Wegner
hep-th/9308093
Quantum Braided Poincar\'E Group
A new deformation of the of the Poincar\'e group and of the Minkowski space-time is given. From the mathematical point of view this deformation is rather quantum-braided group. Global and local structure of this quantum-braided Poincar\'e group is investigated. A kind of ``quantum metrics'' is introduced in the $q$-Min...
1993-08-19
2007-05-23
[ "hep-th" ]
J. Rembielinski
hep-th/9308091
Fluid Random Surfaces with Extrinsic Curvature: II
We present the results of an extension of our previous work on large-scale simulations of dynamically triangulated toroidal random surfaces embedded in $R^3$ with extrinsic curvature. We find that the extrinsic-curvature specific heat peak ceases to grow on lattices with more than 576 nodes and that the location of the...
1993-08-19
2009-10-22
[ "hep-th", "hep-lat" ]
Konstantinos Anagnostopoulos, Mark Bowick, Paul Coddington, Marco Falcioni, Leping Han, Geoffrey Harris and Enzo Marinari
hep-th/9308096
q-Oscillators, q-Epsilon Tensor, q-Groups
Considering a multi-dimensional $q$-oscillator invariant under the (non quantum) group $U(n)$, we construct a $q$-deformed Levi-Civita epsilon tensor from the inner product states. The invariance of this $q$-epsilon tensor is shown to yield the quantum group $SL_{q}(n)$ and establishes the relationship of the $U(n)$ in...
1993-08-19
2009-10-22
[ "hep-th", "math.QA" ]
Metin Arik, Gokhan Unel and Muhittin Mungan
hep-th/9308088
The Search for Supersymmetry Anomalies--Does Supersymmetry Break Itself? --
The established results concerning the BRS cohomology of supersymmetric theories in four space-time dimensions are briefly reviewed. The current status of knowledge concerning supersymmetry anomalies and the possibility that supersymmetry breaks itself through anomalies in local composite operators is then discussed. ...
1993-08-18
2007-05-23
[ "hep-th", "hep-ph" ]
J. A. Dixon
hep-th/9308090
Supergravity Coupled to Chiral Matter at One Loop
We extend earlier calculations of the one-loop contributions to the effective bose Lagrangian in supergravity coupled to chiral matter. We evaluate all logarithmically divergent contributions for arbitrary background scalar fields and space-time metric. We show that, with a judicious choice of gauge fixing and of the d...
1993-08-18
2009-10-22
[ "hep-th", "hep-ph" ]
\Mary K. Gaillard and Vidyut Jain
hep-th/9308086
The Conserved Charges and Integrability of the Conformal Affine Toda Models
We construct infinite sets of local conserved charges for the conformal affine Toda model. The technique involves the abelianization of the two-dimensional gauge potentials satisfying the zero-curvature form of the equations of motion. We find two infinite sets of chiral charges and apart from two lowest spin charges a...
1993-08-18
2009-10-22
[ "hep-th", "nlin.SI", "solv-int" ]
H. Aratyn, L.A. Ferreira, J.F. Gomes and A.H. Zimerman
hep-th/9308089
QED Corrections to Planck's Radiation Law and Photon Thermodynamics
Leading corrections to Planck's formula and photon thermodynamics arising from the pair-mediated photon-photon interaction are calculated. This interaction is attractive and causes an increase in occupation number for all modes. Possible consequences, including the role of the cosmic photon gas in structure formation, ...
1993-08-18
2009-10-22
[ "hep-th", "astro-ph" ]
M. Hossein Partovi
hep-th/9308084
Charged Particle System in Uniform Magnetic and Electric Fields: The Role of Galilean Transformation
Galilean transformation relates a physical system under mutually perpendicular uniform magnetic and electric fields to that under uniform magnetic field only. This allows a complete specification of quantum states in the former case in terms of those for the latter. Based on this observation, we consider the Hall effec...
1993-08-18
2007-05-23
[ "hep-th", "cond-mat" ]
Chanju Kim and Choonkyu Lee
hep-th/9308083
Mirror Symmetry for Two Parameter Models -- I
We study, by means of mirror symmetry, the quantum geometry of the K\"ahler-class parameters of a number of Calabi-Yau manifolds that have $b_{11}=2$. Our main interest lies in the structure of the moduli space and in the loci corresponding to singular models. This structure is considerably richer when there are two pa...
1993-08-18
2009-10-22
[ "hep-th", "alg-geom", "math.AG" ]
Philip Candelas, Xenia de la Ossa, Anamaria Font, Sheldon Katz and David R. Morrison
hep-th/9308085
Local modes, local vacuum, local bogoljubov coefficients and the renormalised stress tensor
Local modes and local particles are defined at any point in curved space time as those that most resemble Minkowsky modes at that point. It is shown that the renormalised stress tensor is the difference of energy between the physical vacuum and that defined by these local modes.
1993-08-18
2011-04-15
[ "hep-th" ]
S. Massar
hep-th/9308087
Volume-forms and Minimal Action Principles in Affine Manifolds
Through the analyses of volume-forms in differentiable manifolds, it is shown that the usual way of defining minimal action principles for field theory on curved space-times is not appropriate on non-riemannian manifolds. An alternative approach, based in a new volume-form, is proposed and confronted with the standard ...
1993-08-18
2009-10-22
[ "hep-th" ]
A.Saa
hep-th/9308080
Quantum Non-abelian Toda Field Theories
We derive an explicit, exactly conformally invariant form for the action for the non-abelian Toda field theory. We demonstrate that the conformal invariance conditions, expressed in terms of the $\beta$-functions of the theory, are satisfied to all orders, and we use our results to obtain a value for the central charge...
1993-08-17
2015-06-26
[ "hep-th" ]
I. Jack, D. R. T. Jones and J. Panvel
hep-th/9308079
Quasi-particles models for the representations of Lie algebras and geometry of flag manifold
We give a new interpretation and proof of the "quasi-particle" type character formulas for integrable representations of the simply-laced affine Kac-Moody algebras through a new "semi-infinite" construction of such representations. We compare formulas of this kind to other formulas obtained using the geometry of the co...
1993-08-17
2009-10-14
[ "hep-th", "math.QA" ]
Boris Feigin and A. V. Stoyanovsky
hep-th/9308081
Towards the Classification of Exactly Solvable Feynman Path Integrals: $\delta$-Function Perturbations and Boundary-Problems as Miscellaneous Solvable Models
Invited talk given at the ``International Workshop on `Symmetry Methods in Physics' in memory of Ya.\ A.\ Smorodinsky, 5--10 July 1993, Dubna, Russia; to appear in the proceedings. In this contribution I present further results on steps towards a Table of Feynman Path Integrals. Whereas the usual path integral solution...
1993-08-17
2007-05-23
[ "hep-th" ]
Christian Grosche
hep-th/9308082
Path Integral Discussion of Two and- Three-Dimensional $\delta$-Function Perturbations
The incorporation of two- and three-dimensional $\delta$-function perturbations into the path-integral formalism is discussed. In contrast to the one-dimensional case, a regularization procedure is needed due to the divergence of the Green-function $G^{(V)}(\vec x,\vec y;E)$, ($\vec x,\vec y\in\bbbr^2,\bbbr^3$) for $\v...
1993-08-17
2009-10-22
[ "hep-th" ]
Christian Grosche
hep-th/9308077
Duality Invariance of the Hawking Temperature and Entropy
We consider solutions to low energy string theory which have a horizon and a spacelike symmetry. Each of these solutions has a geometrically different dual description. We show that the dual solution has a horizon with exactly the same Hawking temperature (surface gravity) and entropy (area) as the original solution.
1993-08-16
2009-12-30
[ "hep-th", "gr-qc" ]
Gary T. Horowitz and Dean L. Welch
hep-th/9308076
BV analysis for covariant and non-covariant actions
The equivalence between the covariant and the non-covariant version of a constrained system is shown to hold after quantization in the framework of the field-antifield formalism. Our study covers the cases of Electromagnetism and Yang-Mills fields and sheds light on some aspects of the Faddeev-Popov method, for both th...
1993-08-16
2009-10-22
[ "hep-th" ]
C. Ord\'o\~nez, J.Par\'is, J.M. Pons and R. Toldr\`a
hep-th/9308073
On Calculation of $2+\veps$ RG Functions in the Gross Neveu Model from Large $N$ Expansions of Critical Exponents
Using knowledge of the explicit $n$ dependence of the RG functions and expressions of critical exponents in the framework of large $N$ expansion in the Gross Neveu model we derive RG functions in 4- and 5-loop approximation.
1993-08-16
2009-10-22
[ "hep-th" ]
N.A. Kivel, A.S. Stepanenko, A.N. Vasil'ev
hep-th/9308070
On Coarse-grained Entropy and Stimulated Emission in Curved Space-Time
We study the entropy generation and particle production in scalar quantum field theory in expanding spacetimes with many-particle mixed initial states. The recently proposed coarse-grained entropy approach by Brandenberger et. al. is applied to systems which may have a non-zero initial entropy. We find that although th...
1993-08-16
2009-10-22
[ "hep-th" ]
Esko Keski-Vakkuri
hep-th/9308074
On the definiteness of the conformal anomaly in nonconformal gauges
The critical dimension of the bosonic string in the harmonic and the deDonder gauge may be calculated from the time ordered product of two energy momentum tensors. We show that recently found ambiguities within that method in nonconformal gauges can be resolved by a treatment respecting background covariance.
1993-08-16
2009-10-22
[ "hep-th" ]
W. M\"odritsch
hep-th/9308072
Glueing operation for r-matrices, quantum groups and link-invariants of Hecke type
We introduce an associative glueing operation $\oplus_q$ on the space of solutions of the Quantum Yang-Baxter Equations of Hecke type. The corresponding glueing operations for the associated quantum groups and quantum vector spaces are also found. The former involves $2\times 2$ quantum matrices whose entries are thems...
1993-08-16
2008-02-03
[ "hep-th", "math.QA" ]
Shahn Majid and Martin Markl
hep-th/9308071
Hamiltonian formulation of SL(3) Ur-KdV equation
We give a unified view of the relation between the $SL(2)$ KdV, the mKdV, and the Ur-KdV equations through the Fr\'{e}chet derivatives and their inverses. For this we introduce a new procedure of obtaining the Ur-KdV equation, where we require that it has no non-local operators. We extend this method to the $SL(3)$ KdV...
1993-08-16
2010-02-05
[ "hep-th", "nlin.SI", "solv-int" ]
B. K. Chung, K. G. Joo, and Soonkeon Nam
hep-th/9308078
First Reduce or First Quantize? A Lagrangian Approach and Application to Coset Spaces
A Lagrangian treatment of the quantization of first class Hamiltonian systems with constraints and Hamiltonian linear and quadratic in the momenta respectively is performed. The ``first reduce and then quantize'' and the ``first quantize and then reduce'' (Dirac's) methods are compared. A new source of ambiguities in t...
1993-08-16
2007-05-23
[ "hep-th" ]
C. Ord\'o\~nez y J.M Pons
hep-th/9308075
Twenty Years of the Weyl Anomaly
In 1973 two Salam prot\'{e}g\'{e}s (Derek Capper and the author) discovered that the conformal invariance under Weyl rescalings of the metric tensor $g_{\mu\nu}(x)\rightarrow\Omega^2(x)g_{\mu\nu}(x)$ displayed by classical massless field systems in interaction with gravity no longer survives in the quantum theory. Sinc...
1993-08-16
2010-04-06
[ "hep-th", "gr-qc" ]
M. J. Duff
hep-th/9308069
Information Retrieval from a Charge `Trap'
We study the model of massless $1+1$ electrodynamics with nonconstant coupling, introduced by Peet, Susskind and Thorlacius as the `charge hole'. But we take the boundary of the strong coupling region to be first timelike, then spacelike for a distance $X$, and then timelike again (to mimic the structure of a black hol...
1993-08-15
2007-05-23
[ "hep-th" ]
Samir D. Mathur
hep-th/9308067
Generalized Gauged Thirring Model on Curved Space-Times
We analyse the interacting theory of charged fermions, scalars, pseuso-scalars and photons propagating in 2-dimensional curved spacetime in detail. For certain values of the coupling constants the theory reduces to the gauged Thirring model and for others the Schwinger model incurved spacetime. It is shown that the int...
1993-08-13
2007-05-23
[ "hep-th" ]
A. Dettki, I. Sachs and A. Wipf
hep-th/9308063
An Extension of Type I Gaugeon Formalism for Quantum Electrodynamics
By introducing two kinds of gaugeon fields, we extend Yokoyama's Type I gaugeon formalism for quantum electrodynamics. The theory admits a q-number gauge transformation by which we can shift the gauge parameter into arbitrary numerical value; whereas in the original theory we cannot change the sign of the parameter. Th...
1993-08-13
2017-02-01
[ "hep-th" ]
R. Endo
hep-th/9308068
Non-Abelian Cornucopions
An infinite family of cornucopions is found within the $SU(2)\times U(1)$ sector of the 4--d heterotic string low-energy theory, the extremal $U(1)$ magnetic dilatonic black hole being the lowest energy state. Non-abelian cornucopions are interpreted as sphalerons associated with potential barriers separating topologic...
1993-08-13
2007-05-23
[ "hep-th" ]
E.E. Donets, D.V. Gal'tsov, M.S.Volkov
hep-th/9308062
Perturbation of the Ground Varieties of C = 1 String Theory
We discuss the effect of perturbations on the ground rings of $c=1$ string theory at the various compactification radii defining the $A_N$ points of the moduli space. We argue that perturbations by plus-type moduli define ground varieties which are equivalent to the unperturbed ones under redefinitions of the coordinat...
1993-08-13
2010-11-01
[ "hep-th" ]
Debashis Ghoshal, Porus Lakdawala and Sunil Mukhi
hep-th/9308064
Long-distance properties of frozen U(1) Higgs and axially U(1)-gauged four-Fermi models in $1+1$ dimensions
We study the long-distance relevance of vortices (instantons) in an $N$-component axially U(1)-gauged four-Fermi theory in $1+1$ dimensions, in which a naive use of $1/N$ expansion predicts the dynamical Higgs phenomenon. Its general effective lagrangian is found to be a frozen U(1) Higgs model with the gauge-field mas...
1993-08-13
2007-05-23
[ "hep-th" ]
Hisashi Yamamoto
hep-th/9308066
Supersymmetric Calculation of Mixed K\"{a}HLER-Gauge and Mixed K\"{a}HLER-Lorentz Anomalies
We present a manifestly supersymmetric procedure for calculating the contributions from matter loops to the mixed K\"{a}hler-gauge and to the mixed K\"{a}hler- Lorentz anomalies in $N=1, D=4$ supergravity-matter systems. We show how this procedure leads to the well-known result for the mixed K\"{a}hler-gauge anomaly. F...
1993-08-13
2007-05-23
[ "hep-th" ]
Gabriel Lopes Cardoso and Burt A. Ovrut
hep-th/9308065
Regular representations of affine Kac-Moody algebras
In this paper we investigate one Wakimoto-type construction of affine Kac-Moody algebras. We obtain a version of the regular representation, on which the affine algebra acts from the left and from the right with the sum of levels equal to minus two dual Coxeter numbers.
1993-08-13
2025-09-09
[ "hep-th" ]
B. Feigin, S. Parkhomenko
hep-th/9308059
A Model of Quantum Space-Time Symmetry in Two Dimensions
An example of a toy model of $D=2$ Minkowski space and Poincar\'e group with real deformation parameter $q$ is considered. A notion of free motion is defined. The kinematics and phase-space are constructed and the ``uncertainity'' ralations are found.
1993-08-12
2007-05-23
[ "hep-th" ]
Kordian Andrzej Smolinski
hep-th/9308060
Dynamical $r$-matrices for the Elliptic Calogero-Moser Model
For the integrable $N$-particle Calogero-Moser system with elliptic potential it is shown that the Lax operator found by Krichever possesses a classical $r$-matrix structure. The $r$-matrix is a natural generalisation of the matrix found recently by Avan and Talon (hep-th/9210128) for the trigonometric potential. The $...
1993-08-12
2008-02-03
[ "hep-th", "nlin.SI", "solv-int" ]
E.K.Sklyanin
hep-th/9308056
Once More about Spectral-Dependent Quantum $R$-Matrix for $U_q(A_2)$
The recently obtained results in \cite{ZG2} are used to compute the explicitly spectral-dependent $R$-matrix (or the intertwiners) on $V_{(6)}(x)\otimes V_{(6)}(y)$ and $V_{(3)}(x)\otimes V_{(6)}(y)$, where $V_{(6)}$ and $V_{(3)}$ are the 6-dimensional and fundamental representations of $U_q(A_2)$, respectively. It app...
1993-08-12
2008-02-03
[ "hep-th", "math.QA" ]
Anthony J. Bracken, Mark D. Gould and Yao-Zhong Zhang
hep-th/9308057
Stress-Energy Tensor and Ultraviolet Behaviour in Massive Integrable Quantum Field Theories
The short distance behaviour of massive integrable quantum field theories is analyzed in terms of the form factor approach. We show that the on-shell dynamics is compatible with different definitions of the stress-energy tensor $T_{\mu\nu}(x)$ of the theory. In terms of form factors, this is equivalent to having a poss...
1993-08-12
2015-06-26
[ "hep-th" ]
G. Mussardo and P. Simonetti
hep-th/9308058
Two-Dimensional Quantum Poincar\'E Group
Quantum Poincar\'e-Weyl group in two dimensional quantum Minkowski space-time is considered and an appriopriate relativistic kinematics is investigated. It is claimed that a consistent approach to the above questions demands a kind of a ``quantum geometry'' in the $q$-deformed space-time.
1993-08-12
2008-02-03
[ "hep-th" ]
Jakub Rembielinski & Waclaw Tybor
hep-th/9308061
The Reality and Measurement of the Wavefunction
Using a simple version of the model for the quantum measurement of a two level system, the contention of Aharonov, Anandan, and Vaidman that one must in certain circumstances give the wavefunction an ontological as well as an epistemological significance is examined. I decide that their argument that the wave function ...
1993-08-12
2008-11-26
[ "hep-th", "gr-qc" ]
W.G. Unruh