690 research outputs found
Non-Relativistic Superstring Theories
We construct a supersymmetric version of the ``critical'' non-relativistic
bosonic string theory\cite{Kim:2007hb} with its manifest global symmetry. We
introduce the anticommuting CFT which is the super partner of the
CFT. The conformal weights of the and fields are both
1/2. The action of the fermionic sector can be transformed into that of the
relativistic superstring theory. We explicitly quantize the theory with
manifest SO(8) symmetry and find that the spectrum is similar to that of Type
IIB superstring theory. There is one notable difference: the fermions are
non-chiral. We further consider ``noncritical'' generalizations of the
supersymmetric theory using the superspace formulation. There is an infinite
range of possible string theories similar to the supercritical string theories.
We comment on the connection between the critical non-relativistic string
theory and the lightlike Linear Dilaton theory.Comment: Typos corrected, references added. A version to appear in Phys. Rev.
Two-dimensional topological gravity and equivariant cohomology
In this paper, we examine the analogy between topological string theory and
equivariant cohomology. We also show that the equivariant cohomology of a
topological conformal field theory carries a certain algebraic structure, which
we call a gravity algebra. (Error on page 9 corrected: BRS current contains
total derivatives.)Comment: 18 page
Signature Characters for A_2 and B_2
The signatures of the inner product matrices on a Lie algebra's highest
weight representation are encoded in the representation's signature character.
We show that the signature characters of a finite-dimensional Lie algebra's
highest weight representations obey simple difference equations that have a
unique solution once appropriate boundary conditions are imposed. We use these
results to derive the signature characters of all and highest
weight representations. Our results extend, and explain, signature patterns
analogous to those observed by Friedan, Qiu and Shenker in the Virasoro
algebra's representation theory.Comment: 22 p
Integrable boundary interaction in 3D target space: the "pillow-brane" model
We propose a model of boundary interaction, with three-dimensional target
space, and the boundary values of the field {\vec X}\in R^3 constrained to lay
on a two-dimensional surface of the "pillow" shape. We argue that the model is
integrable, and suggest that its exact solution is described in terms of
certain linear ordinary differential equation.Comment: 28 pages, 4 figure
Loop Variables and the Virasoro Group
We derive an expression in closed form for the action of a finite element of
the Virasoro Group on generalized vertex operators. This complements earlier
results giving an algorithm to compute the action of a finite string of
generators of the Virasoro Algebra on generalized vertex operators. The main
new idea is to use a first order formalism to represent the infinitesimal group
element as a loop variable. To obtain a finite group element it is necessary to
thicken the loop to a band of finite thickness. This technique makes the
calculation very simple.Comment: 23 pages, PSU/T
On classical q-deformations of integrable sigma-models
JHEP is an open-access journal funded by SCOAP3 and licensed under CC BY 4.0A procedure is developed for constructing deformations of integrable σ-models which are themselves classically integrable. When applied to the principal chiral model on any compact Lie group F, one recovers the Yang-Baxter σ-model introduced a few years ago by C. Klimčík. In the case of the symmetric space σ-model on F/G we obtain a new one-parameter family of integrable σ-models. The actions of these models correspond to a deformation of the target space geometry and include a torsion term. An interesting feature of the construction is the q-deformation of the symmetry corresponding to left multiplication in the original models, which becomes replaced by a classical q-deformed Poisson-Hopf algebra. Another noteworthy aspect of the deformation in the coset σ-model case is that it interpolates between a compact and a non-compact symmetric space. This is exemplified in the case of the SU(2)/U(1) coset σ-model which interpolates all the way to the SU(1, 1)/U(1) coset σ-modelPeer reviewedFinal Published versio
Free Boson Representation of
A representation of the quantum affine algebra of an
arbitrary level is constructed in the Fock module of eight boson fields.
This realization reduces the Wakimoto representation in the
limit. The analogues of the screening currents are also obtained. They commute
with the action of modulo total differences of some
fields.Comment: 12 pages, LaTeX, RIMS-920, YITP/K-101
Free Field Realization of Vertex Operators for Level Two Modules of
Free field relization of vertex operators for lvel two modules of
is shown through the free field relization of the modules
given by Idzumi in Ref.[4,5]. We constructed types I and II vertex operators
when the spin of the addociated evaluation modules is 1/2 and typ II's for the
spin 1.Comment: 15 pages, to appear in J.Phys.A:Math and Genera
Simplicial Chiral Models
Principal chiral models on a d-1 dimensional simplex are introduced and
studied analytically in the large limit. The and
models are explicitly solved. Relationship with standard lattice models and
with few-matrix systems in the double scaling limit are discussed.Comment: 6 pages, PHYZZ
On the static Lovelock black holes
We consider static spherically symmetric Lovelock black holes and generalize
the dimensionally continued black holes in such a way that they asymptotically
for large r go over to the d-dimensional Schwarzschild black hole in dS/AdS
spacetime. This means that the master algebraic polynomial is not degenerate
but instead its derivative is degenerate. This family of solutions contains an
interesting class of pure Lovelock black holes which are the Nth order Lovelock
{\Lambda}-vacuum solu- tions having the remarkable property that their
thermodynamical parameters have the universal character in terms of the event
horizon radius. This is in fact a characterizing property of pure Lovelock
theories. We also demonstrate the universality of the asymptotic Einstein limit
for the Lovelock black holes in general.Comment: 19 page
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