Asymmetric Cosets

TL;DR

This paper develops a comprehensive theory of asymmetric coset models G/H with distinct left and right actions, providing formulas for partition functions, boundary states, and brane geometries, with applications to specific string backgrounds.

Contribution

It introduces a general framework for asymmetric coset models, including modular invariants, boundary states, and geometric descriptions, expanding the understanding of these models in string theory.

Findings

Derived a formula for modular invariant partition functions.

Constructed a large set of boundary states.

Described brane geometries in asymmetric coset models.

Abstract

The aim of this work is to present a general theory of coset models G/H in which different left and right actions of H on G are gauged. Our main results include a formula for their modular invariant partition function, the construction of a large set of boundary states and a general description of the corresponding brane geometries. The paper concludes with some explicit applications to the base of the conifold and to the time-dependent Nappi-Witten background.