391 research outputs found
Level Two String Functions and Rogers Ramanujan Type Identities
The level two string functions are calculated exactly for all simply laced
Lie algebras, using a ladder coset construction. These are the characters of
cosets of the type , where is the algebra at level two and is
its rank. This coset is a theory of generalized parafermions. A conjectured
Rogers Ramanujan type identity is described for these characters. Using the
exact string functions, we verify the Rogers Ramanujan type expressions, that
are the main focus of this work.Comment: 26 page
Spectral flow as a map between N=(2,0)-models
The space of models is of particular interest among all
heterotic-string models because it includes the models with the minimal
unification structure, which is well motivated by the Standard Model
of particle physics data. The fermionic
heterotic-string models revealed the existence of a new symmetry in the space
of string configurations under the exchange of spinors and vectors of the
GUT group, dubbed spinor-vector duality. Such symmetries are important
for the understanding of the landscape of string vacua and ultimately for the
possible operation of a dynamical vacuum selection mechanism in string theory.
In this paper we generalize this idea to arbitrary internal rational Conformal
Field Theories (RCFTs). We explain how the spectral flow operator normally
acting within a general theory can be used as a map between
models. We describe the details, give an example and propose more simple
currents that can be used in a similar way.Comment: 14 pages, v2: minor changes, added one referenc
Field Identifications for Interacting Bosonic Models in N=2 Superconformal Field Theory
We study a family of interacting bosonic representations of the N=2 superconformal algebra. These models can be tensored with a conjugate theory to give the free theory. We explain how to use free fields to study interacting fields and their dimensions, and how we may identify different free fields as representing the same interacting field. We show how a lattice of identifying fields may be built up and how every free field may be reduced to a standard form, thus permitting the resolution of the spectrum. We explain how to build the extended algebra and show that there are a finite number of primary fields for this algebra for any of the models. We illustrate this by studying an example
Poincare Polynomials and Level Rank Dualities in the Coset Construction
We review the coset construction of conformal field theories; the emphasis is
on the construction of the Hilbert spaces for these models, especially if fixed
points occur. This is applied to the superconformal cosets constructed by
Kazama and Suzuki. To calculate heterotic string spectra we reformulate the
Gepner con- struction in terms of simple currents and introduce the so-called
extended Poincar\'e polynomial. We finally comment on the various equivalences
arising between models of this class, which can be expressed as level rank
dualities. (Invited talk given at the III. International Conference on
Mathematical Physics, String Theory and Quantum Gravity, Alushta, Ukraine, June
1993. To appear in Theor. Math. Phys.)Comment: 14 pages in LaTeX, HD-THEP-93-4
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