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hep-th/9404125
$~N=2$~ Superstring Theory Generates Supersymmetric Chern-Simons Theories
Abstrct: We show that the action of self-dual supersymmetric Yang-Mills theory in four-dimensions, which describes the consistent massless background fields for $~N=2$~ superstring, generates the actions for $~N=1$~ and $~N=2$~ supersymmetric non-Abelian Chern-Simons theories in three-dimensions after appropriate dimen...
1994-04-20
2015-06-26
[ "hep-th" ]
Hitoshi Nishino
hep-th/9404122
A trial to find an elliptic quantum algebra for $sl_2$ using the Heisenberg and Clifford algebra
A Heisenberg-Clifford realization of a deformed $U(sl_{2})$ by two parameters $p$ and $q$ is discussed. The commutation relations for this deformed algebra have interesting connection with the theta functions.
1994-04-20
2015-06-26
[ "hep-th" ]
Jun'ichi Shiraishi
hep-th/9404123
Time Measurement in Quantum Gravity
We discuss time measurement in quantum gravity. Using general relativity for large distances and the uncertainty principle we find a minimum time interval of the order of the Planck time, therefore the uncertainty in time measurment is bounded from below.
1994-04-20
2009-10-28
[ "hep-th" ]
N.Itzhaki
hep-th/9404116
On State Counting and Characters
We outline the relationship between the thermodynamic densities and quasi-particle descriptions of spectra of RSOS models with an underlying Bethe equation. We use this to prove completeness of states in some cases and then give an algorithm for the construction of branching functions of their emergent conformal field ...
1994-04-19
2015-06-26
[ "hep-th" ]
Srinandan Dasmahapatra
hep-th/9404114
Superstring Gravitational Wave Backgrounds with Spacetime Supersymmetry
We analyse the stringy gravitational wave background based on the current algebra $E^{c}_{2}$. We determine its exact spectrum and construct the modular invariant vacuum energy. The corresponding N=1 extension is also constructed. The algebra is again mapped to free bosons and fermions and we show that this background ...
1994-04-19
2009-10-07
[ "hep-th", "astro-ph", "gr-qc" ]
E. Kiritsis, C. Kounnas and D. Luest
hep-th/9404120
Polynomial SUSY in Quantum Mechanics and Second Derivative Darboux Transformation
We give the classification of second-order polynomial SUSY Quantum Mechanics in one and two dimensions. The particular attention is paid to the irreducible supercharges which cannot be built by repetition of ordinary Darboux transformations. In two dimensions it is found that the binomial superalgebra leads to the dyna...
1994-04-19
2009-10-28
[ "hep-th" ]
A.A.Andrianov, M.V.Ioffe and D.N.Nishnianidze
hep-th/9404110
Quantum Group Sheaf and Quantum Manifolds
The problem of introducing a dependence of elements of quantum group on classical parameters is considered. It is suggested to interpret a homomorphism from the algebra of functions on quantum group to the algebra of sections of a sheaf of algebras on a classical manifold as describing such a dependence. It is argued t...
1994-04-19
2008-02-03
[ "hep-th", "math.QA" ]
I. Volovich
hep-th/9404117
Variational Formulation of Linear Time-Dependent Invariants
It is shown that linear time-dependent invariants for arbitrary multi\-dimensional quadratic systems can be obtained from the Lagrangian and Hamiltonian formulation procedures by considering a variation of coordinates and momenta that follows the classical trajectory and defines a noetherian symmetry transformation.
1994-04-19
2007-05-23
[ "hep-th" ]
O. Casta\~nos, R. L\'opez-Pe\~na and V.I. Man'ko
hep-th/9404115
Topological Matter in Four Dimensions
Topological models involving matter couplings to Donaldson-Witten theory are presented. The construction is carried using both, the topological algebra and its central extension, which arise from the twisting of $N=2$ supersymmetry in four dimensions. The framework in which the construction is based is constituted by t...
1994-04-19
2009-10-28
[ "hep-th" ]
M. Alvarez and J.M.F. Labastida
hep-th/9404111
$N$-Dimensional Representations of the Braid Groups $B_{N}$
In this note, a new class of representations of the braid groups $B_{N}$ is constructed. It is proved that those representations contain three kinds of irreducible representations: the trivial (identity) one, the Burau one, and an $N$-dimensional one. The explicit form of the $N$-dimensional irreducible representation ...
1994-04-19
2008-02-03
[ "hep-th", "math.QA" ]
Dian-Min Tong, Shan-De Yang (Jilin University, China) and Zhong-Qi Ma (Institute of High Energy Physics, Beijing)
hep-th/9404113
Unifying W-Algebras
We show that quantum Casimir W-algebras truncate at degenerate values of the central charge c to a smaller algebra if the rank is high enough: Choosing a suitable parametrization of the central charge in terms of the rank of the underlying simple Lie algebra, the field content does not change with the rank of the Casim...
1994-04-19
2009-10-28
[ "hep-th" ]
R. Blumenhagen, W. Eholzer, A. Honecker, K. Hornfeck, R. Huebel
hep-th/9404112
Discrete differential calculus, graphs, topologies and gauge theory
Differential calculus on discrete sets is developed in the spirit of noncommutative geometry. Any differential algebra on a discrete set can be regarded as a `reduction' of the `universal differential algebra' and this allows a systematic exploration of differential algebras on a given set. Associated with a differenti...
1994-04-19
2009-10-28
[ "hep-th", "gr-qc", "math.QA" ]
A. Dimakis and F. M\"uller-Hoissen
hep-th/9404105
Bicovariant Differential Geometry of the Quantum Group $SL_h(2)$
There are only two quantum group structures on the space of two by two unimodular matrices, these are the $SL_q(2)$ and the $SL_h(2)$ [9-13] quantum groups. One can not construct a differential geometry on $ SL_q(2)$, which at the same time is bicovariant, has three generators, and satisfies the Liebnitz rule. We show ...
1994-04-18
2009-10-28
[ "hep-th", "math.QA" ]
Vahid Karimipour (Sharif University of Technology, Tehran, Iran)
hep-th/9404107
Spin Transmutation in (2+1) Dimensions
We study a relativistic anyon model with a spin-$j$ matter field minimally coupled to a statistical gauge potential governed by the Chern-Simons dynamics with a statistical parameter $\alpha$. A spin and statistics transmutation is shown in terms of a continuous random walk method. An integer or odd-half-integer part o...
1994-04-18
2008-11-26
[ "hep-th", "cond-mat" ]
Wei Chen (U of North Carolina, Chapel Hill) and Chigak Itoi (Nihon U)
hep-th/9404102
Effective actions of local composite operators --- case of $\varphi^4$ theory, itinerant electron model, and QED
A compact graph rule for the effective action $\Gamma[\phi]$ of a local composite operator is given in this paper. This long-standing problem of obtaining $\Gamma[\phi]$ in this case is solved directly without using the auxiliary field. The rule is first deduced with help of the inversion method, which is a technique f...
1994-04-18
2015-06-26
[ "hep-th", "cond-mat" ]
K. Okumura
hep-th/9404108
Affine Toda field theory on a half line
The question of the integrability of real-coupling affine toda field theory on a half-line is addressed. It is found, by examining low-spin conserved charges, that the boundary conditions preserving integrability are strongly constrained. In particular, for the $a_n\ (n>1)$ series of models there can be no free paramet...
1994-04-18
2009-10-28
[ "hep-th" ]
E. Corrigan, P.E. Dorey, R.H. Rietdijk, R. Sasaki
hep-th/9404106
Electromagnetic Fields in a Thermal Background
The one--loop effective action for a slowly varying electromagnetic field is computed at finite temperature and density using a real-time formalism. We discuss the gauge invariance of the result. Corrections to the Debye mass from an electric field are computed at high temperature and high density. The effective coupli...
1994-04-18
2009-10-28
[ "hep-th" ]
Per Elmfors and Bo-Sture Skagerstam
hep-th/9404104
Single-Particle Density of States for the Aharonov-Bohm Potential and Instability of Matter with Anomalous Magnetic Moment in 2+1 Dimensions
In the nonrelativistic case we find that whenever the relation $mc^2/e^2 <X(\al,g_m)$ is satisfied, where $\al$ is a flux in the units of the flux quantum, $g_m$ is magnetic moment, and $X(\al,g_m)$ is some function that is nonzero only for $g_m>2$ (note that $g_m=2.00232$ for the electron), then the matter is unstable...
1994-04-18
2008-02-03
[ "hep-th", "cond-mat" ]
Alexander MOROZ
hep-th/9404109
Constrained Topological Gravity from Twisted N=2 Liouville Theory
In this paper we show that there exists a new class of topological field theories, whose correlators are intersection numbers of cohomology classes in a constrained moduli space. Our specific example is a formulation of 2D topological gravity. The constrained moduli-space is the Poincare' dual of the top Chern-class of...
1994-04-18
2009-10-28
[ "hep-th" ]
D. Anselmi, P. Fre', L. Girardello and P. Soriani
hep-th/9404103
The Algebra of Chern-Simons Classes and the Poisson Bracket on it
Developing ideas based on combinatorial formulas for characteristic classes we introduce the algebra modeling secondary characteristic classes associated to $N$ connections. Certain elements of the algebra correspond to the ordinary and secondary characteristic classes.That construction allows us to give easily the exp...
1994-04-18
2008-02-03
[ "hep-th", "alg-geom", "math.QA" ]
I. M. Gel'fand, M. M. Smirnov
hep-th/9404101
Chern-Simons Gauge Theory on Orbifolds: Open Strings from Three Dimensions
Chern-Simons gauge theory is formulated on three dimensional $Z_2$ orbifolds. The locus of singular points on a given orbifold is equivalent to a link of Wilson lines. This allows one to reduce any correlation function on orbifolds to a sum of more complicated correlation functions in the simpler theory on manifolds. C...
1994-04-17
2009-12-15
[ "hep-th", "cond-mat" ]
Petr Horava
hep-th/9404100
Incompatibility of Self-Charge Conjugation with Helicity Eigenstates and Gauge Interactions
In this essay, an {\it ab initio} study of the self/anti-self charge conjugate $(1/2,\,0)\oplus(0,\,1/2)$ representation space is presented. Incompatibility of self/anti-self charge conjugation with helicity eigenstates and gauge interactions is demonstrated. Parity violation is seen as an intrinsic part of the self/an...
1994-04-16
2007-05-23
[ "hep-th", "hep-ph" ]
Dharam V. Ahluwalia
hep-th/9404090
$W_{1+\infty}, Similarity Transformation and Interplay Between Integer and Fractional Quantum Hall Effect
We consider non-unitary similarity transformation, interconnecting the $W_{1+\infty}$ algebra representations for the fractional $\nu=\frac{1}{2p+1}$ and integer $\nu=1$ filling fractions. This transformation corresponds to the introduction of the complex abelian Chern-Simons gauge potentials, in terms of which the fie...
1994-04-15
2008-02-03
[ "hep-th" ]
M.Eliashvili
hep-th/9404097
Reality of Complex Affine Toda Solitons
There are infinitely many topological solitons in any given complex affine Toda theories and most of them have complex energy density. When we require the energy density of the solitons to be real, we find that the reality condition is related to a simple ``pairing condition.'' Unfortunately, rather few soliton solutio...
1994-04-15
2008-11-26
[ "hep-th" ]
Z. Zhu and D. G. Caldi
hep-th/9404088
Dynamical Mass Generation for Non-Abelian Gauge Fields without the Higgs
We present an alternative to the Higgs mechanism to generate masses for non-abelian gauge fields in (3+1)-dimensions. The initial Lagrangian is composed of a fermion with current-current and dipole-dipole type self-interactions minimally coupled to non-abelian gauge fields. The mass generation occurs upon the fermionic...
1994-04-15
2009-10-28
[ "hep-th", "hep-ph" ]
Didier Caenepeel and Martin Leblanc
hep-th/9404098
Sigma Models in (4,4) Harmonic Superspace
We define basics of $(4,4)\;\; 2D$ harmonic superspace with two independent sets of $SU(2)$ harmonic variables and apply it to construct new superfield actions of $(4,4)$ supersymmetric two-dimensional sigma models with torsion and mutually commuting left and right complex structures, as well as of their massive deform...
1994-04-15
2009-10-28
[ "hep-th" ]
E. Ivanov and A. Sutulin
hep-th/9404091
On Super-Liouville Operator Constructions
We review the construction of field operators of the N=1 supersymmetric Liouville theory in terms of the components of a quantized free superfield.
1994-04-15
2007-05-23
[ "hep-th" ]
H.-J.Otto
hep-th/9404092
Dynamical Topology Change in String Theory
Exact string solutions are presented, providing backgrounds where a dynamical change of topology is occuring. This is induced by the time variation of a modulus field. Some lessons are drawn concerning the region of validity of effective theories and how they can be glued together, using stringy information in the regi...
1994-04-15
2009-10-28
[ "hep-th", "astro-ph", "gr-qc" ]
E. Kiritsis and C. Kounnas (CERN)
hep-th/9404093
Wodzicki residue and anomalies of current algebras
The commutator anomalies (Schwinger terms) of current algebras in $3+1$ dimensions are computed in terms of the Wodzicki residue of pseudodifferential operators; the result can be written as a (twisted) Radul 2-cocycle for the Lie algebra of PSDO's. The construction of the (second quantized) current algebra is closely ...
1994-04-15
2009-10-28
[ "hep-th", "math.QA" ]
Jouko Mickelsson
hep-th/9404089
Arbitrary Superspin Massive Superparticles
We propose the action for a massive $N$-extended superparticle with a pure (half)integer superspin $Y,~Y = 0, 1/2, 1, 3/2, \ldots$. Regardless of the superspin value, the configuration space is ${\Bbb R}^{4|4N} \times S^2$, where $S^2$ corresponds to spinning degrees of freedom. Being explicitly super-Poincar\'e invari...
1994-04-15
2008-11-26
[ "hep-th" ]
S.M. Kuzenko, S.L. Lyakhovich, and A.Yu. Segal
hep-th/9404094
On $\delta$ perturbative interactions in the Aharonov-Bohm and Anyon Models
One discusses the validity and equivalence of various perturbative approaches for the Aharonov -Bohm and Anyon models.
1994-04-15
2009-10-28
[ "hep-th" ]
St\'ephane OUVRY (Division de Physique Th\'eorique, IPN, Orsay Fr-91406)
hep-th/9404096
Edge Singularity in ``Induced QCD"
The behaviour of the master field in ``induced QCD" near the edge of its support is studied. An extended scaling domain, where the shape of the master field is a universal function, is found. This function is determined explicitly for the case of dimensions, close to one, and the $D-1$-expansion is constructed. The pro...
1994-04-15
2015-06-26
[ "hep-th" ]
Andrei Matytsin and Alexander A. Migdal
hep-th/9404099
Traversable Wormholes and Black Hole Complementarity
Black hole complementarity is incompatible with the existence of traversable wormholes. In fact, traversable wormholes cause problems for any theory where information comes out in the Hawking radiation.
1994-04-15
2009-10-28
[ "hep-th" ]
Daniel Gottesman
hep-th/9404095
The supersymmetric version of the Green--Schwarz anomaly cancellation mechanism
The $N=1$, $D=10$ Supergravity--Super--Yang--Mills (SUGRA-SYM) theory is plagued by ABBJ gauge and Lorentz anomalies which are cancelled via the Green-Schwarz anomaly cancellation mechanism. Due to the fact that the ABBJ anomalies are not invariant under supersymmetry (SUSY) transformations one concludes that the theor...
1994-04-15
2009-10-28
[ "hep-th" ]
A. Candiello and K. Lechner
hep-th/9404083
BFV Quantization of Relativistic Spinning Particles with a Single Bosonic Constraint
Using the BFV approach we quantize a pseudoclassical model of the spin one half relativistic particle that contains a single bosonic constraint, contrary to the usual locally supersymmetric models that display first and second class constraints.
1994-04-14
2015-06-26
[ "hep-th" ]
Silvio J. Rabello and Arvind N. Vaidya
hep-th/9404087
On the physical interpretation of effective actions using Schwinger's formula
We show explicitly that Schwinger's formula for one-loop effective actions corresponds to the summation of energies associated with the zero-point oscillations of the fields. We begin with a formal proof, and after that we confirm it using a regularization prescription.
1994-04-14
2009-10-28
[ "hep-th" ]
L. C. de Albuquerque, C. Farina, Silvio J. Rabello and Arvind N. Vaidya
hep-th/9404086
Renormalization Group Approach to Scalar Theory
Effective potential for scalar $\lambda\phi^4$ theory is obtained using the exact renormalization group method which includes both the usual one-loop contribution as well as the dominant higher loop effects. Our numerical calculation indicates a breakdown of naive one-loop result for sufficiently large renormalized cou...
1994-04-14
2009-09-25
[ "hep-th" ]
Sen-Ben Liao and Chengqian Gong
hep-th/9404082
The Numerical Sausage
The renormalization group equation describing the evolution of the metric of the non linear sigma models poses some nice mathematical problems involving functional analysis, differential geometry and numerical analysis. We describe the techniques which allow a numerical study of the solutions in the case of a two-dimen...
1994-04-14
2007-05-23
[ "hep-th" ]
Lorenzo Belardinelli and Enrico Onofri
hep-th/9404080
A Generic Renormalization Method in Curved Spaces and at Finite Temperature
Based only on simple principles of renormalization in coordinate space, we derive closed renormalized amplitudes and renormalization group constants at 1- and 2-loop orders for scalar field theories in general backgrounds. This is achieved through a generic renormalization procedure we develop exploiting the central id...
1994-04-14
2015-06-26
[ "hep-th" ]
J. Comellas, P.E. Haagensen and J.I. Latorre
hep-th/9404081
Supersymmetry without Fermions
The simplest $N=2$ supersymmetric quantum mechanical system is realized in terms of the bosonic creation and annihilation operators obeying either ordinary or deformed Heisenberg algebra involving Klein operator. The construction comprises both the exact and spontaneously broken supersymmetry cases with the scale of su...
1994-04-14
2007-05-23
[ "hep-th", "cond-mat", "hep-lat", "nucl-th" ]
Mikhail S. Plyushchay
hep-th/9404084
Effective Lagrangian and the back-reaction problem in a self-interacting $O(N)$ scalar theory in curved spacetime
A derivation of the one-loop effective Lagrangian in the self-interacting $O(N)$ scalar theory, in slowly varying gravitational fields, is presented (using $\zeta$-regularization and heat-kernel techniques). The result is given in terms of the expansion in powers of the curvature tensors (up to quadratic terms) and the...
1994-04-14
2009-09-17
[ "hep-th" ]
Emilio Elizalde, Klaus Kirsten, Sergei Odintsov
hep-th/9404079
The solution to Wheeler-DeWitt is eight
We describe a new geometrical solution to the Wheeler-DeWitt equation in two dimensional quantum gravity. The solution is the amplitude of a surface whose boundary consists of two tangent loops. We further discuss a new method for estimating singular geometries amplitudes, which uses explicit recursive counting of disc...
1994-04-14
2009-10-28
[ "hep-th" ]
E.Adi & S.Solomon
hep-th/9404085
Multi-scale Renormalisation Group Improvement of the Effective Potential
Using the renormalisation group and a conjecture concerning the perturbation series for the effective potential, the leading logarithms in the effective potential are exactly summed for $O(N)$ scalar and Yukawa theories.
1994-04-14
2009-10-28
[ "hep-th", "hep-ph" ]
Chris Ford
hep-th/9404072
On the form of local conservation laws for some relativistic field theories in 1+1 dimensions
We investigate the possible form of local translation invariant conservation laws associated with the relativistic field equations $\partial\bar\partial\phi_i=-v_i(\bphi)$ for a multicomponent field $\bphi$. Under the assumptions that (i)~the $v_i$'s can be expressed as linear combinations of partial derivatives $\part...
1994-04-13
2014-11-18
[ "hep-th", "cond-mat" ]
E.G.B.Hohler and K.Olaussen
hep-th/9404070
The Infinite Symmetry and Interplay Between Integer and Fractional Quantum Hall Effect
It is shown, that a spectrum generating algebras and wave functions for the integral and fractional quantum Hall effect are related by the non-unitary similarity transformation. This transformation corresponds to the introduction of the complex Chern-Simons gauge fields, in terms of which the second quantized form of F...
1994-04-13
2007-05-23
[ "hep-th" ]
M.Eliashvili
hep-th/9404073
On $W_{\infty/2}$ Strings
The string theory defined by gauging $\W_{\infty/2}$, the sub-algebra of $\W_{\infty}$ generated by the currents of even spin, is discussed. The critical value of the central charge is calculated using zeta-function techniques and shown to be $c=1$. A critical string theory is constructed by coupling a free boson to $\...
1994-04-13
2015-06-26
[ "hep-th" ]
C.M. Hull and Z. Khatun
hep-th/9404069
Conservation laws for the classical Toda field theories
We have performed some explicit calculations of the conservation laws for classical (affine) Toda field theories, and some generalizations of these models. We show that there is a huge class of generalized models which have an infinite set of conservation laws, with their integrated charges being in involution. Amongst...
1994-04-13
2015-06-26
[ "hep-th", "cond-mat" ]
E.G.B.Hohler and K.Olaussen
hep-th/9404077
Phase Transition in Rigid String Coupled to Kalb-Ramond Fields
Polyakov has argued that the QCD string should have long range order. We show that a phase transition does exist in a generalization of string theory characterized by the addition of the curvature of the world sheet (rigidity) and the long range Kalb-Ramond interactions to the Nambu-Goto action. Although rigid strings ...
1994-04-13
2009-10-28
[ "hep-th", "hep-lat" ]
Moustafa Awada and David Zoller
hep-th/9404078
Phase Transition and Absence Of Ghosts in Rigid QED
Ordinary QED formulated in the Feynman's space-time picture is equivalent to a one dimensional field theory. In the large N limit there is no phase transition in such a theory. In this letter, we show a phase transition does exist in a generalization of QED characterized by the addition of the curvature of the world li...
1994-04-13
2009-10-28
[ "hep-th", "hep-lat" ]
Moustafa Awada and David Zoller
hep-th/9404074
Configurations of Handles and the Classification of Divergences in the String Partition Function
The divergences that arise in the regularized partition function for closed bosonic string theory in flat space lead to three types of perturbation series expansions, distinguished by their genus dependence. This classification of infinities can be traced to geometrical characteristics of the string worldsheet. Some ca...
1994-04-13
2010-04-06
[ "hep-th" ]
Simon Davis
hep-th/9404071
The Instability of Charged Black Strings and p-Branes
We investigate the evolution of small perturbations around charged black strings and branes which are solutions of low energy string theory. We give the details of the analysis for the uncharged case which was summarized in a previous paper. We extend the analysis to the small charge case and give also an analysis for ...
1994-04-13
2009-10-28
[ "hep-th" ]
Ruth Gregory and Raymond Laflamme
hep-th/9404076
Pair Creation of Black Holes
This article is based on a talk given at the IInd International Colloquium on Modern Quantum Field Theory, Bombay 1994. The Ernst solution of dilaton gravity describes charged black holes undergoing uniform accleration in a background magnetic field. By analytically continuing the Ernst solution one obtains instantons ...
1994-04-13
2007-05-23
[ "hep-th", "gr-qc" ]
Jerome P. Gauntlett
hep-th/9404075
On Marshak's and Connes' views of chirality
I render the substance of the discussions I had with Robert E. Marshak shortly before his death, wherein the kinship between the ``neutrino paradigm'' ---espoused by Marshak--- and the central notion of K-cycle in noncommutative geometry (NCG) was found. In that context, we give a brief account of the Connes--Lott reco...
1994-04-13
2016-11-03
[ "hep-th" ]
J. M. Gracia-Bondia
hep-th/9404067
Real Special Geometry
We give a coordinate-free description of real manifolds occurring in certain four dimensional supergravity theories with antisymmetric tensor fields. The relevance of the linear multiplets in the compactification of string and five-brane theories is also discussed.
1994-04-13
2009-10-28
[ "hep-th" ]
M. Bertolini, A. Ceresole, R. D'Auria and S. Ferrara
hep-th/9404068
On Poisson-Lie structure on the external algebra of the classical Lie groups
The general expression for the bicovariant bracket for odd generators of the external algebra on a Poisson-Lie group is given. It is shown that the graded Poisson-Lie structures derived before for $GL(N)$ and $SL(N)$ are the special cases of this bracket. The formula is the universal one and can be applied to the case ...
1994-04-13
2009-10-28
[ "hep-th", "math.QA" ]
G. E. Arutyunov and P. B. Medvedev
hep-th/9404062
Geometry of the Frenkel-Kac-Segal cocycle
We present an analysis of the cocycle appearing in the vertex operator representation of simply-laced, affine, Kac-Moody algebras. We prove that it can be described in the context of $R$-commutative geometry, where $R$ is a Yang-Baxter operator, as a strong $R$-commutative algebra. We comment on the Hochschild, cyclic ...
1994-04-12
2008-02-03
[ "hep-th", "math.QA" ]
Nikolaos Kalogeropoulos
hep-th/9404061
Second Order Derivative Supersymmetry and Scattering Problem
Extensions of standard one-dimensional supersymmetric quantum mechanics are discussed. Supercharges involving higher order derivatives are introduced leading to an algebra which incorporates a higher order polynomial in the Hamiltonian. We study scattering amplitudes for that problem. We also study the role of a dilata...
1994-04-12
2010-04-06
[ "hep-th", "nucl-th" ]
A.A.Andrianov, F.Cannata, J.-P-Dedonder and M.V.Ioffe
hep-th/9404063
Four Dimensional Plane Wave String Solutions with Coset CFT Description
We present a number of D=4 bosonic and heterotic string solutions with a covariantly constant null Killing vector which, like the solution of Nappi and Witten (NW), correspond to (gauged) WZW models and thus have a direct conformal field theory interpretation. A class of exact plane wave solutions (which includes the N...
1994-04-12
2009-09-17
[ "hep-th" ]
K. Sfetsos and A.A. Tseytlin
hep-th/9404064
Asymptotic Regimes in Quantum Gravity at Large Distances and Running Newtonian and Cosmological Constants
We consider a multiplicatively renormalizable higher-derivative scalar theory which is used as an effective theory for quantum gravity at large distances (infrared phase of quantum gravity). The asymptotic regimes (in particular, the asymptotically free infrared regime) for the coupling constants ---specifically the Ne...
1994-04-12
2010-04-06
[ "hep-th" ]
E. Elizalde, S.D. Odintsov and I.L. Shapiro
hep-th/9404066
Locating Overlap Information in Quantum Systems
When discussing the black hole information problem the term ``information flow'' is frequently used in a rather loose fashion. In this article I attempt to make this notion more concrete. I consider a Hilbert space which is constructed as a tensor product of two subspaces (representing for example inside and outside th...
1994-04-12
2010-04-08
[ "hep-th", "gr-qc" ]
Andreas Albrecht
hep-th/9404059
On the Configuration Space of Gauge Theorie
We investigate the structure of the configuration space of gauge theories and its description in terms of the set of absolute minima of certain Morse functions on the gauge orbits. The set of absolute minima that is obtained when the background connection is a pure gauge is shown to be isomorphic to the orbit space of ...
1994-04-11
2009-10-28
[ "hep-th", "hep-ph" ]
S. J. Fuchs, M.G. Schmidt, and C. Schweigert
hep-th/9404060
Minimum Distances in Non-Trivial String Target Spaces
The idea of minimum distance, familiar from R <-> 1/R duality when the string target space is a circle, is analyzed for less trivial geometries. The particular geometry studied is that of a blown-up quotient singularity within a Calabi-Yau space and mirror symmetry is used to perform the analysis. It is found that zero...
1994-04-11
2009-10-28
[ "hep-th", "gr-qc" ]
P. Aspinwall
hep-th/9404058
String Theory and Quantum Spin Chains
The space-time light-cone Hamiltonian P^- of large-N matrix models for dynamical triangulations may be viewed as that of a quantum spin chain and analysed in a mean field approximation. As N -> infinity, the properties of the groundstate as a function of the bare worldsheet cosmological constant exhibit a parton phase ...
1994-04-11
2009-10-28
[ "hep-th" ]
S.Dalley
hep-th/9404065
Quantum Mass corrections for C_2^(1) Affine Toda theory solitons
We calculate the quantum mass corrections to the solitons in the C_2^(1) Affine Toda field theory. We find that the ratio of the masses of the two solitons is not constant.
1994-04-11
2009-10-28
[ "hep-th" ]
G.M.T. Watts
hep-th/9404056
Toda Lattice Hierarchy and the Topological Description of the c=1 String Theory
The Toda lattice hierarchy is discussed in connection with the topological description of the $c=1$ string theory compactified at the self-dual radius. It is shown that when special constraints are imposed on the Toda hierarchy, it reproduces known results of the $c=1$ string theory, in particular the $W_{1+\infty}$ re...
1994-04-11
2009-10-28
[ "hep-th" ]
T.Eguchi (Univ. of Tokyo) and H.Kanno (Hiroshima Univ.)
hep-th/9404057
Clifford Algebras of Polynomials Generalized Grassmann Algebras and q-Deformed Heisenberg Algebras
Classification of finite dimensional representations of the q-deformed Heisenberg algebra $H_q(3)$ is made by the help of Clifford algebra of polynomials and generalized Grassmann algebra. Special attention is paid when $q$ is a primitive $n$ root of unity. As a further application we obtain finite dimensional represen...
1994-04-11
2008-11-26
[ "hep-th" ]
M. Rausch de Traubenberg
hep-th/9404055
Large-$N$ nonlinear $\sigma$ models on $R^2\times S^1$
The large-$N$ nonlinear $O(N)$, $CP^{N-1}$ $\sigma$ models are studied on $R^2 \times S^1$. The $N$-components scalar fields of the models are supposed to acquire a phase $e^{i2\pi\delta}$ $(0\leq \delta <1)$, along the circulation of the circle, $S^1$. We evaluate the effective potentials to the leading order of the $...
1994-04-10
2009-10-28
[ "hep-th" ]
Dae Yup Song
hep-th/9404054
Wave Equations on q-Minkowski space
We give a systematic account of the exterior algebra of forms on q-Minkowski space, introducing the q-exterior derivative, q-Hodge star operator, q-coderivative, q-Laplace-Beltrami operator and the q-Lie-derivative. With these tools at hand, we then give a detailed exposition of the q-d'Alembert and q-Maxwell equation....
1994-04-09
2015-06-26
[ "hep-th" ]
Ulrich Meyer
hep-th/9404052
Quantum Algebras for Maximal Motion Groups of N-Dimensional Flat Spaces
An embedding method to get $q$-deformations for the non--semisimple algebras generating the motion groups of $N$--dimensional flat spaces is presented. This method gives a global and simultaneous scheme of $q$-deformation for all $iso(p,q)$ algebras and for those ones obtained from them by some In\"on\"u--Wigner contra...
1994-04-08
2009-10-28
[ "hep-th", "math.QA" ]
A. Ballesteros, F.J. Herranz, M.A. del Olmo and M. Santander
hep-th/9404048
$L$-functions in Scattering on $p$-adic Multiloop Surfaces
We study scattering processes on $p$-adic multiloop surfaces represented as multiloop infinite graphs with total valence in each vertex equal $p+1$. They all are spaces of the constant negative curvature since they are quotients of the $p$-adic hyperbolic plane over free acting discrete subgroup of $PGL(2, {\bf Q}_p)$....
1994-04-08
2009-10-28
[ "hep-th" ]
L.Chekhov
hep-th/9404049
Stochastic Quantization of Autonomous Phi**4
The non-perturbative autonomous renormalization of the scalar $\Phi^4$-model is applied in the framework of stochastic quantization. I show that this requires a selective, momentum-dependent renormalization of the Onsager coefficient $\lambda$, a direct consequence of the characteristic wavefunction renormalization app...
1994-04-08
2009-09-25
[ "hep-th", "hep-ph" ]
U. Ritschel
hep-th/9404051
Multiboson Expansions for the q-Oscillator and $SU(1,1)_q$
All the hermitian representations of the ``symmetric" $q$-oscillator are obtained by means of expansions. The same technique is applied to characterize in a systematic way the $k$-order boson realizations of the $q$-oscillator and $su(1,1)_q$. The special role played by the quadratic realizations of $su(1,1)_q$ in term...
1994-04-08
2009-10-28
[ "hep-th" ]
Angel Ballesteros and Javier Negro
hep-th/9404053
Modular Invariance and Characteristic Numbers
We show that a general miraculous cancellation formula, the divisibility of certain characteristic numbers and some other topologiclal results are con- sequences of the modular invariance of elliptic operators on loop spaces. Previously we have shown that modular invariance also implies the rigidity of many elliptic op...
1994-04-08
2011-07-19
[ "hep-th", "math.QA" ]
Kefeng Liu
hep-th/9404050
Spinons in Conformal Field Theory
We study the $su(2)$ conformal field theory in its spinon description, adapted to the Yangian invariance. By evaluating the action of the Yangian generators on the primary fields, we find a new connection between this conformal field theory and the Calogero-Sutherland model with $su(2)$ spin. We use this connection to ...
1994-04-08
2008-11-26
[ "hep-th" ]
D. Bernard, V. Pasquier and D. Serban
hep-th/9404047
Conformal Properties of Chern-Simons Vortices in External Fields
The construction and the symmetries of Chern-Simons vortices in harmonic and uniform magnetic force backgrounds found by Ezawa, Hotta and Iwazaki, and by Jackiw and Pi are generalized using the non-relativistic Kaluza-Klein-type framework presented in our previous paper. All Schr\"odinger-symmetric backgrounds are dete...
1994-04-08
2011-06-02
[ "hep-th" ]
C. Duval, P.A. Horv\'athy and L. Palla
hep-th/9404040
Observable algebra for the rational and trigonometric Euler Calogero Moser models
We construct polynomial Poisson algebras of observables for the classical Euler-Calogero-Moser (ECM) models. The conserved Hamiltonians and symmetry algebras derived in a previous work are subsets of these algebras. We define their linear, $N \rightarrow \infty$ limits, realizing $\w_{\infty}$ type algebras coupled to ...
1994-04-07
2009-10-28
[ "hep-th" ]
J. Avan and E. Billey
hep-th/9404041
Quasifinite Highest Weight Modules over Super $W_{1+\infty}$ Algebra
We study quasifinite highest weight modules over the supersymmetric extension of the $W_{1+\infty}$ algebra on the basis of the analysis by Kac and Radul. We find that the quasifiniteness of the modules is again characterized by polynomials, and obtain the differential equations for highest weights. The spectral flow, ...
1994-04-07
2009-10-28
[ "hep-th" ]
H. Awata, M. Fukuma, Y. Matsuo and S. Odake
hep-th/9404035
Sl(2,R)-Duality Covariance of Killing Spinors in Axion-Dilaton Black Holes
Under $SL(2,R)$ electric-magnetic duality transformations the Bogomolnyi bound of dilaton-axion black holes is known to be invariant. In this paper we show that this invariance corresponds to the covariance of the $N=4$ supersymmetry transformation rules and their parameters. In particular this implies that Killing spi...
1994-04-07
2016-08-14
[ "hep-th", "gr-qc" ]
Tom\'as Ort\'in (Queen Mary and Westfield College)
hep-th/9404043
Tetramodules over the Hopf algebra of regular functions on a torus
Tetramodule is a vector space supplied with the bimodule and bicomodule structures over a Hopf algebra. The exact definition is given. Some properties and applications to quantum groups are discussed.
1994-04-07
2008-02-03
[ "hep-th", "math.QA" ]
Tanya Khovanova
hep-th/9404038
Gauss decomposition of trigonometric R-matrices
The general formula for the universal R-matrix for quantized nontwisted affine algebras by Khoroshkin and Tolstoy is applied for zero central charge highest weight modules of the quantized affine algebras. It is shown how the universal R-matrix produces the Gauss decomposition of trigonomitric R-matrix in tensor produc...
1994-04-07
2009-10-28
[ "hep-th", "math.QA" ]
Sergei Khoroshkin (ITEP, Moscow), A. A. Stolin (Department of Mathematics, Royal Institute of Technology, Stockholm, Sweden), and V.N. Tolstoy (Institute of Nuclear Physics, Moscow State University)
hep-th/9404046
Determinants of elliptic pseudo-differential operators
Determinants of invertible pseudo-differential operators (PDOs) close to positive self-adjoint ones are defined throughthe zeta-function regularization. We define a multiplicative anomaly as the ratio $\det(AB)/(\det(A)\det(B))$ considered as a functionon pairs of elliptic PDOs. We obtained an explicit formula for the ...
1994-04-07
2008-02-03
[ "hep-th", "math.QA" ]
Maxim Kontsevich, Simeon Vishik
hep-th/9404042
On the Two Gap Locus for the Elliptic Calogero--Moser Model
We give an analytical description of the locus of the two-gap elliptic potentials associated with the corresponding flow of the Calogero--Moser system. We start with the description of Treibich--Verdier two--gap elliptic potentials. The explicit formulae for the covers, wave functions and Lam\'e polynomials are derived...
1994-04-07
2009-10-28
[ "hep-th" ]
V Z Enolskii, J C Eilbeck
hep-th/9404045
Exact Solution of 2D Poincare Gravity Coupled to Fermion Matter
The 2D model of gravity with zweibeins $e^{a}$ and the Lorentz connection one-form $\omega^{a}_{\ b}$ as independent gravitational variables coupled to 2d massless Dirac matter is considered. It is shown that the classical equations of motion are exactly integrated in the case of chiral fermions.
1994-04-07
2009-10-28
[ "hep-th" ]
S.N.Solodukhin
hep-th/9404037
Gauged W Algebras
We perform an Hamiltonian reduction on a classical \cw(\cg, \ch) algebra, and prove that we get another \cw(\cg, \ch$'$) algebra, with $\ch\subset\ch'$. In the case $\cg=S\ell(n)$, the existence of a suitable gauge, called Generalized Horizontal Gauge, allows to relate in this way two \cw-algebras as soon as their corr...
1994-04-07
2016-09-06
[ "hep-th" ]
F. Delduc, L. Frappat, E. Ragoucy, P. Sorba
hep-th/9404039
Unified View of Deformed Single - Mode Oscillator Algebras
A general framework for the deformation of the single-mode oscillators is presented and all deformed single-mode oscillators are unified. The extensions of the Aric-Coon, genon, the para-Bose and the para-Fermi oscillators are proposed. The generalized harmonic oscillator considered by Brzezinski et al. is rederived in...
1994-04-07
2019-08-17
[ "hep-th" ]
S.Meljanac, M.Milekovic and S.Pallua
hep-th/9404036
Twisting of quantum (super)algebras. Connection of Drinfeld's and Cartan-Weyl realizations for quantum affine algebras
We show that some factors of the universal R-matrix generate a family of twistings for the standard Hopf structure of any quantized contragredient Lie (super)algebra of finite growth. As an application we prove that any two isomorphic superalgebras with different Cartan matrices have isomorphic q-deformations (as assoc...
1994-04-07
2008-02-03
[ "hep-th", "math.QA" ]
Sergei Khoroshkin (ITEP, Moscow) and Valeriy N. Tolstoy (Moscow State University)
hep-th/9404044
Gravitinos and a Low Ultimate Temperature for the Early Universe
We obtain new stronger bounds by orders of magnitude, on the ultimate temperature of the universe by exploiting the copious production of gravitinos at finite temperature.
1994-04-07
2009-10-28
[ "hep-th", "hep-ph" ]
Willy Fischler
hep-th/9404027
An Algebraic Approach to Solving Evolution Problems in Some Nonlinear Quantum Models
A new general Lie-algebraic approach is proposed to solving evolution tasks in some nonlinear problems of quantum physics with polynomially deformed Lie algebras $su_{pd}(2)$ as their dynamic symmetry algebras. The method makes use of an expansion of the evolution operators by power series in the $su_{pd}(2)$ shift o...
1994-04-06
2009-10-28
[ "hep-th" ]
Valery P. Karassiov and Andrei B. Klimov (P.N. Lebedev Physical Institute)
hep-th/9404026
Supersymmetry in Stochastic Quantization Method and Field-Dependent Kernel
We define a discretized Langevin equation in Stratonovich-{\it type} calculus. We show that a generating functional with a field-dependent kernel can be written in mid-point prescription only when we calculate in the calculus. Moreover we investigate whether supersymmetry of the stochastic action with field-dependent k...
1994-04-06
2017-02-01
[ "hep-th" ]
Kenji Ikegami
hep-th/9404032
B\"acklund transformation for integrable systems
We establish an explicit form of the Backlund transformation for the most known integrable systems.
1994-04-06
2007-05-23
[ "hep-th" ]
A. N. Leznov
hep-th/9404031
Spectral sum rules and finite volume partition function in gauge theories with real and pseudoreal fermions
Based on the chiral symmetry breaking pattern and the corresponding low-energy effective lagrangian, we determine the fermion mass dependence of the partition function and derive sum rules for eigenvalues of the QCD Dirac operator in finite Euclidean volume. Results are given for $N_c = 2$ and for Yang-Mills theory cou...
1994-04-06
2008-11-26
[ "hep-th", "hep-ph" ]
A. Smilga and J. Verbaarschot
hep-th/9404034
On Exact Integrability of 2D Poincare Gravity
We consider the 2D Poincar\'e gravity and show its exact integrability. The choice of the gauge is discussed. The Euclidean solutions on compact closed differential manifolds are studied.
1994-04-06
2015-06-26
[ "hep-th" ]
S.N.Solodukhin
hep-th/9404029
The Hilbert Space Representations for SO_q(3)-symmetric quantum mechanics
The observable algebra O of SO_q(3)-symmetric quantum mechanics is generated by the coordinates of momentum and position spaces (which are both isomorphic to the SO_q(3)-covariant real quantum space R_q^3). Their interrelations are determined with the quantum group covariant differential calculus. For a quantum mechani...
1994-04-06
2016-09-06
[ "hep-th" ]
Wolfgang Weich
hep-th/9404030
Solitons and Vertex Operators in Twisted Affine Toda Field Theories
Affine Toda field theories in two dimensions constitute families of integrable, relativistically invariant field theories in correspondence with the affine Kac-Moody algebras. The particles which are the quantum excitations of the fields display interesting patterns in their masses and coupling and which have recently ...
1994-04-06
2015-06-26
[ "hep-th" ]
M.A.C. Kneipp and D.I. Olive
hep-th/9404028
Free Fields for Any Spin in 1+2 Dimensions
We construct free fields of arbitrary spin in 1+2 dimensions i.e. free fields for which the one-particle Hilbert space carries a projective isometric irreducible representation of the Poincar\'e group in 1+2 dimensions. We analyse in detail these representations in the fiber bundle formalism and afterwards we apply Wei...
1994-04-06
2009-10-28
[ "hep-th" ]
D. R. Grigore
hep-th/9404033
Scalar Mass and Cosmological Constant induced by ``Anomalous" $U(1)$ $D$-term
When the supersymmetric theory contains the ``anomalous" $U(1)$ gauge symmetry with Green-Schwarz anomaly cancellation mechanism in 4 dimensions, its Fayet-Iliopoulos $D$-term generates non-universal scalar masses and the positive cosmological constant after the supersymmetry breaking. Both give the new contributions t...
1994-04-06
2007-05-23
[ "hep-th" ]
Hiroaki Nakano
hep-th/9404024
A Parity Invariant Regularization in 3-D Quantum Electrodynamics
We regularize the 3-D quantum electrodynamics by a parity invariant Pauli-Villars regularization method. We find that in the perturbation theory the Chern-Simons term is not induced in the massless fermion case and induced in the massive fermion case.
1994-04-06
2009-10-28
[ "hep-th" ]
Tadahiko Kimura
hep-th/9404025
Addendum to: ``Symmetries of the Bosonic String S-Matrix,''
In a previous paper we showed that bracket relations uniquely fix the tree-level bosonic string $S$-matrix for $N\leq 26$ particle scattering. In this note we extend the proof to $N$-particle scattering for all $N$.
1994-04-06
2008-02-03
[ "hep-th" ]
Gregory Moore
hep-th/9404018
The Nappi-Witten example and gravitational waves
The vanishing of the anomaly in the recent example of Nappi and Witten, constructed from the Wess-Zumino-Witten model based on a certain non-semisimple group, follows from a more general result valid for gravitational waves. The construction of the metric is explained.}
1994-04-05
2007-05-23
[ "hep-th" ]
C. Duval, Z. Horv\'ath, P.A. Horv\'athy
hep-th/9404019
Quantum Gravity: A Mathematical Physics Perspective
This article is based on an invited talk given at the Workshop on Mathematical Physics Towards XXIst Century, held at Beer-Sheva, Israel in 1993. It contains an introduction to quantum gravity for mathematical physicists with an emphasis on the difference between the structure of this theory from more familiar, Minkows...
1994-04-05
2007-05-23
[ "hep-th" ]
Abhay Ashtekar