10,921 research outputs found
Twisted Quantum Lax Equations
We give the construction of twisted quantum Lax equations associated with
quantum groups. We solve these equations using factorization properties of the
corresponding quantum groups. Our construction generalizes in many respects the
Adler-Kostant-Symes construction for Lie groups and the construction of M. A.
Semenov Tian-Shansky for the Lie-Poisson case.Comment: 23 pages, late
Decompactifications and Massless D-Branes in Hybrid Models
A method of determining the mass spectrum of BPS D-branes in any phase limit
of a gauged linear sigma model is introduced. A ring associated to monodromy is
defined and one considers K-theory to be a module over this ring. A simple but
interesting class of hybrid models with Landau-Ginzburg fibres over CPn are
analyzed using special Kaehler geometry and D-brane probes. In some cases the
hybrid limit is an infinite distance in moduli space and corresponds to a
decompactification. In other cases the hybrid limit is at a finite distance and
acquires massless D-branes. An example studied appears to correspond to a novel
theory of supergravity with an SU(2) gauge symmetry where the gauge and
gravitational couplings are necessarily tied to each other.Comment: PDF-LaTeX, 34 pages, 2 mps figure
Some General Aspects of Coset Models and Topological Kazama-Suzuki Models
We study global aspects of N=2 Kazama-Suzuki coset models by investigating
topological G/H Kazama-Suzuki models in a Lagrangian framework based on gauged
Wess-Zumino-Witten models. We first generalize Witten's analysis of the
holomorphic factorization of bosonic G/H models to models with N=1 and N=2
supersymmetry. We also find some new anomaly-free and supersymmetric models
based on non-diagonal embeddings of the gauge group. We then explain the basic
properties (action, symmetries, metric independence, ...) of the topologically
twisted G/H Kazama-Suzuki models. We explain how all of the above generalizes
to non-trivial gauge bundles.
We employ the path integral methods of localization and abelianization (shown
to be valid also for non-trivial bundles) to establish that the twisted G/H
models can be localized to bosonic H/H models (with certain quantum
corrections), and can hence be reduced to an Abelian bosonic T/T model, T a
maximal torus of H. We also present the action and the symmetries of the
coupling of these models to topological gravity. We determine the bosonic
observables for all the models based on classical flag manifolds and the
bosonic observables and their fermionic descendants for models based on complex
Grassmannians.Comment: expanded version to appear in NPB: construction of wave functions,
proof of holomorphic factorization and localization extended to non-trivial
gauge bundles; 73 pages, LaTeX fil
Integrable Systems and Poisson-Lie T-duality: a finite dimensional example
We study the deep connection between integrable models and Poisson-Lie
T-duality working on a finite dimensional example constructed on SL(2,C) and
its Iwasawa factors SU(2) and B. We shown the way in which Adler-Kostant-Symes
theory and collective dynamics combine to solve the equivalent systems from
solving the factorization problem of an exponential curve in SL(2,C). It is
shown that the Toda system embraces the dynamics of the systems on SU(2) and B.Comment: 34 page
- …