Title: Mirror Symmetry and the Web of Landau-Ginzburg String Vacua
Authors: Hitoshi Sato
Comments: 22 pages, Latex 2.09, no figure
Report-no: OU-HET 255
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We present some mathematical aspects of Landau-Ginzburg string vacua in terms
of toric geometry. The one-to-one correspondence between toric divisors and
some of (-1,1) states in Landau-Ginzburg model is presented for
superpotentials of typical types. %for some classes of superpotentials. The
Landau-Ginzburg interpretation of non-toric divisors is also presented. Using
this interpretation, we propose a method to solve the so-called "twisted sector
problem" by orbifold construction. Moreover,this construction shows that the
moduli spaces of the original Landau-Ginzburg string vacua and their orbifolds
are connected. By considering the mirror map of Landau-Ginzburg models, we
obtain the relation between Mori vectors and the twist operators of our
orbifoldization. This consideration enables us to argue the embedding of the
Seiberg-Witten curve in the defining equation of the Calabi-Yau manifolds on
which the type II string gets compactified. %in terms of the orbifold twists.
Related topics concerning the Calabi-Yau fourfolds and the extremal transition
are discussed.
\\ (http://xxx.lanl.gov/abs/hep-th/9612239 , 16kb)
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Paper: hep-th/9612240
From: Takahiro Masuda <mas...@particle.phys.hokudai.ac.jp>
Date: Fri, 27 Dec 96 13:44:52 JST
Title: On Explicit Evaluations Around the Conformal Point in N=2 Supersymmetric
Yang-Mills Theories
Authors: Takahiro Masuda, Hisao Suzuki (Hokkaido University)
Comments: 25 pages, LaTeX
Report-no: EPHOU 96-008
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We show how to give the expression for periods, Higgs field and its dual of
N=2 supersymmetric Yang-Mills theory around the conformal point. This is
achieved by evaluating the integral representation in the weak coupling region,
and by using analytic continuation to the conformal point. The explicit
representation is shown for the SU(2) theory with matter fields and also for
pure SU(N) and pure SO(2N) theory around the conformal point where the relation
to the beta function of the theory is clarified. We also discuss a relation
between the fixed points in the SU(2) theories with matter fields and the
Landau-Ginzburg point of 2-D N=2 SCFT.
\\ (http://xxx.lanl.gov/abs/hep-th/9612240 , 18kb)
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Paper: hep-th/9612241
From: Carlos Castro <cas...@physics.utexas.edu>
Date: Fri, 27 Dec 1996 00:12:32 -0600
Title: On the Integrability Aspects of the Self Dual Membrane
Authors: Carlos Castro
Comments: 46 pages, tex file. Extended updated version of hep-th/9605029 and
hep-th/9612160
\\
The exact quantum integrability aspects of a sector of the membrane is
investigated. It is found that spherical membranes moving in flat target
spacetime backgrounds admit a class of integrable solutions linked to SU(infty)
SDYM equations (dimensionally reduced to one temporal dimension). After a
suitable ansatz, the SDYM equations can be recast in the form of the continuous
Toda molecule equations whose symmetry algebra is the dimensional reduction of
the W (infty} plus {\bar W}(infty} algebra. The latter algebra is explicitly
constructed. Highest weight representations are built directly from the
infinite number of defining relations among the highest weight states of
W(\infty) algebras and the quantum states of the Toda molecule. Discrete states
are also constructed. The full (dimensionaly reduced) quantum SU(infty) YM
theory remains to be explored.
\\ (http://xxx.lanl.gov/abs/hep-th/9612241 , 47kb)
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Paper: hep-th/9612242
From: Sanjay Jain <ja...@cts.iisc.ernet.in>
Date: Thu, 26 Dec 1996 19:43:06 +0600 (GMT+0600)
Title: Universal correlations in random matrices: quantum chaos, the $1/r^2$
integrable model, and quantum gravity
Author: Sanjay Jain (Indian Institute of Science)
Comments: 26 pages, LaTex
Journal-ref: Mod. Phys. Lett. A11 (1996) 1201
\\
Random matrix theory (RMT) provides a common mathematical formulation of
distinct physical questions in three different areas: quantum chaos, the 1-d
integrable model with the $1/r^2$ interaction (the Calogero-Sutherland-Moser
system), and 2-d quantum gravity. We review the connection of RMT with these
areas. We also discuss the method of loop equations for determining correlation
functions in RMT, and smoothed global eigenvalue correlators in the 2-matrix
model for gaussian orthogonal, unitary and symplectic ensembles.
\\ (http://xxx.lanl.gov/abs/hep-th/9612242 , 20kb)
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Paper: hep-th/9612243
From: "Igor A. Naumov, IHEP, Protvino, Russia" <asp...@mx.ihep.su>
Date: Sat, 28 Dec 1996 01:19:40 GMT+03:00
Title: The Paths of Unification In The GUST With The G x G Gauge Groups of E(8)
x E(8)
Authors: A. Maslikov (2), I. Naumov (2), G. Volkov (1,2) ((1) INFN Sezione di
Padova and Dipartimento di Fisica Universit\`a di Padova, (2) Institute for
High Energy Physics, Protvino Russia)
Comments: 18 pages, 2 Postscript figures, uses epsf.sty
\\
In the framework of the four dimensional heterotic superstring with free
fermions we discuss the rank eight and/or sixteen Grand Unified String Theories
(GUST) which contain the SU(3)_H - gauge family symmetry. We explicitly
investigate the paths of the unification in the GUST with gauge symmetry
G x G = [SU(5) x U(1) x (SU(3) x U(1))_H]^2. We show that the GUSTs with the
G x G gauge group allow to make the scale of unification to be consistent with
the string scale M_SU = g_{string} * 5 * 10^17 GeV.
\\ (http://xxx.lanl.gov/abs/hep-th/9612243 , 25kb)
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Paper: hep-th/9612244
From: Chaiho Rim <r...@phy0.chonbuk.ac.kr>
Date: Sat, 28 Dec 1996 13:07:54 JST
Title: Fermion Ground State of Three Particles in a Harmonic Potential Well and
Its Anyon Interpolation
Author: Chaiho Rim
Comments: RevTex, 11pages
Report-no: SNUTP/96-052
Journal-ref: Jour. Kor. Phys. Soc. 29 {1996} 559-562
\\
We examine the detail of the analytic structure of an exact analytic solution
of three anyons, which interpolates to the fermion ground state in a harmonic
potential well. The analysis is done on the fundamental domain with appropriate
boundary conditions. Some remarks on the hard-core conditions and
self-adjointness are made.
\\ (http://xxx.lanl.gov/abs/hep-th/9612244 , 8kb)
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Paper: hep-th/9612245
From: TOP...@padova.infn.it
Date: Sun, 29 Dec 1996 9:39:29 +0100 (WET)
Title: Super--Toda Models Associated to Any (super--)Lie Algebras
Author: F. Toppan
Comments: 13 pages, LaTex. Talk given at "X Born Symposium" held in Karpacz
(Poland), September 1996. To appear in the Proceedings
\\
It is shown how to obtain superconformal Toda models as reductions of WZNW
theories based on any Lie or super--Lie algebra.
\\ (http://xxx.lanl.gov/abs/hep-th/9612245 , 9kb)
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Paper: hep-th/9612246
From: Paulo Teotonio-Sobrinho <teot...@snfma1.if.usp.br>
Date: Sun, 29 Dec 1996 14:48:20 MST
Title: Topology Change and theta-Vacua in 2D Yang-Mills Theory
Authors: Tom D. Imbo and P. Teotonio-Sobrinho
Comments: 16 pages, 4 figures, uses harvmac and psbox
Report-no: UICHEP-TH/96-02
\\
We discuss the existence of $\theta$-vacua in pure Yang-Mills theory in two
space-time dimensions. More precisely, a procedure is given which allows one to
classify the distinct quantum theories possessing the same classical limit for
an arbitrary connected gauge group G and compact space-time manifold M
(possibly with boundary) possessing a special basepoint. For any such G and
M it is shown that the above quantizations are in one-to-one correspondence
with the irreducible unitary representations (IUR's) of $\pi_1(G)$ if M is
orientable, and with the IUR's of $\pi_1(G)/2\pi_1(G)$ if M is nonorientable.
\\ (http://xxx.lanl.gov/abs/hep-th/9612246 , 26kb)
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Paper: hep-th/9612247
From: ars...@suhep.phy.syr.edu
Date: Sun, 29 Dec 96 16:52:48 -0500
Title: Anomalous Defects and Their Quantized Conductivities
Author: A.P. Balachandran, V. John, A. Momen and F. Moraes
Comments: 22 pages, REVTEX file, two figures (epsf.sty required)
Report-no: SU-4240-648
\\
Using a description of defects in solids in terms of three-dimensional
gravity, we study the propagation of electrons in the background of
disclinations and screw dislocations. We study the situations where there are
bound states that are effectively localized on the defect and hence can be
described in terms of an effective 1+1 dimensional field theory for the low
energy excitations. In the case of screw dislocations, we find that these
excitations are chiral and can be described by an effective field theory of
chiral fermions. On coupling to external electromagnetic fields, the latter
becomes anomalous, and predicts novel conduction properties for these
materials.
\\ (http://xxx.lanl.gov/abs/hep-th/9612247 , 20kb)
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Paper (*cross-listing*): gr-qc/9612054
From: "Michael P. Ryan" <ry...@nuclecu.unam.mx>
Date: Wed, 18 Dec 1996 14:17:05 -0600
Title: Variational Approach to Gaussian Approximate Coherent States: Quantum
Mechanics and Minisuperspace Field Theory
Authors: A. A. Minzoni, Marcos Rosenbaum, Michael P. Ryan, Jr
Comments: 26 pages, Plain TeX, no figures
\\
This paper has a dual purpose. One aim is to study the evolution of coherent
states in ordinary quantum mechanics. This is done by means of a Hamiltonian
approach to the evolution of the parameters that define the state. The
stability of the solutions is studied. The second aim is to apply these
techniques to the study of the stability of minisuperspace solutions in field
theory. For a $\lambda \varphi^4$ theory we show, both by means of perturbation
theory and rigorously by means of theorems of the K.A.M. type, that the
homogeneous minisuperspace sector is indeed stable for positive values of the
parameters that define the field theory.
\\ (http://xxx.lanl.gov/abs/gr-qc/9612054 , 18kb)
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Paper: hep-th/9509142
replaced with revised version Sat, 28 Dec 1996 23:44:08 +0000
Title: Consistent Spin-Two Coupling and Quadratic Gravitation
Authors: Ahmed Hindawi, Burt A. Ovrut, and Daniel Waldram
Comments: 28 pages, LaTeX2e with AMS-LaTeX 1.2, epsfig, and rangecite macros, 3
eps figures
Report-no: UPR-660T
Journal-ref: Physical Review D 53 (1996) 5583-5596.
\\ (http://xxx.lanl.gov/abs/hep-th/9509142 , 29kb)
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Paper: hep-th/9509147
replaced with revised version Sun, 29 Dec 1996 00:00:39 +0000
Title: Non-Trivial Vacua in Higher-Derivative Gravitation
Authors: Ahmed Hindawi, Burt A. Ovrut, and Daniel Waldram
Comments: 25 pages, LaTeX2e with AMS-LaTeX 1.2, 7 eps figures
Report-no: UPR-661T
Journal-ref: Physical Review D 53 (1996) 5597-5608
\\ (http://xxx.lanl.gov/abs/hep-th/9509147 , 26kb)
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Paper: hep-th/9509174
replaced with revised version Sun, 29 Dec 1996 00:12:11 +0000
Title: Two-Dimensional Higher-Derivative Supergravity and a New Mechanism for
Supersymmetry Breaking
Authors: Ahmed Hindawi, Burt A. Ovrut, Daniel Waldram
Comments: 22 pages, LaTeX2e and AMS-LaTeX 1.2
Report-no: UPR-663T
Journal-ref: Nuclear Physics B471 (1996) 409-429.
\\ (http://xxx.lanl.gov/abs/hep-th/9509174 , 19kb)
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Paper: hep-th/9511223
replaced with revised version Sun, 29 Dec 1996 00:17:52 +0000
Title: Four-Dimensional Higher-Derivative Supergravity and Spontaneous
Supersymmetry Breaking
Authors: Ahmed Hindawi, Burt A. Ovrut, Daniel Waldram
Comments: 26 pages, LaTeX2e and AMS-LaTeX 1.2, 1 eps figure
Report-no: UPR-685T
Journal-ref: Nuclear Physics B476 (1996) 175-199.
\\ (http://xxx.lanl.gov/abs/hep-th/9511223 , 30kb)
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Paper: hep-th/9602075
replaced with revised version Sun, 29 Dec 1996 00:23:16 +0000
Title: Soft Supersymmetry Breaking Induced by Higher-Derivative
Supergravitation in the Electroweak Standard Model
Author: Ahmed Hindawi, Burt A. Ovrut, Daniel Waldram
Comments: LaTeX2e with AMS-LaTeX 1.2, 13 pages
Report-no: UPR-691T
Journal-ref: Physics Letters B381 (1996) 154-162.
\\ (http://xxx.lanl.gov/abs/hep-th/9602075 , 13kb)
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Paper: hep-th/9611132
replaced with revised version Sat, 28 Dec 1996 10:16:48 MST
Title: On gradient flow in the Wilson renormalization group
Authors: Robert C. Myers and Vipul Periwal
Comments: 12 pages, plain TeX. References added
Report-no: PUPT-1567
\\ (http://xxx.lanl.gov/abs/hep-th/9611132 , 12kb)
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Paper: hep-th/9612040
replaced with revised version Fri, 27 Dec 1996 15:55:02 -0500
Title: $\Phi^{(2)}$ Perturbations of WZW Model
Authors: Vadim A. Brazhnikov
Comments: 28 pages, harvmac.tex; some misprints were corrected
\\ (http://xxx.lanl.gov/abs/hep-th/9612040 , 21kb)
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Paper (*cross-listing*): hep-lat/9604012
replaced with revised version Fri, 27 Dec 1996 18:06:12 +0100
Title: Lattice Gauge Fields and Noncommutative Geometry
Authors: A.P. Balachandran, G. Bimonte, G. Landi, F. Lizzi and P.
Teotonio-Sobrinho
Comments: 34 pages, Latex, Minor corrections, Section 6 corrected
Report-no: ESI (1995) 299, SU-4240-621, DFTUZ/96/06 , DSF-T-15/96 ,
UICHEP-TH/95-12
\\ (http://xxx.lanl.gov/abs/hep-lat/9604012 , 32kb)
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For subscribe options to combined physics archives,
e-mail To: phy...@xxx.lanl.gov, Subject: subscribe
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Author self-submissions are exceedingly preferred. Format:
\\
Title: Recent Seminal Results
Authors: Author One and Author Two
Comments: 3 pages, latex, no figures, mpeg simulations available at
ftp://myhost.mydomain/path/file.mpg or at http://myhost.mydomain/RSR/file.mpg
Report-no: EFI-96-40
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