Dbrane Phase Transitions and Monodromy in K-theory

TL;DR

This paper explores how monodromy in K-theory of non-commutative algebras can predict phase transitions in non-supersymmetric D-brane systems as the B field varies.

Contribution

It introduces a K-theoretic framework involving bundles of K groups with monodromy to analyze D-brane phase transitions.

Findings

K-theory bundles with monodromy describe D-brane phase structure

Monodromy predicts phase transitions when B field varies

Connects non-commutative algebra K-theory to D-brane physics

Abstract

Majumder and Sen have given an explicit construction of a first order phase transition in a non-supersymmetric system of Dbranes that occurs when the B field is varied. We show that the description of this transition in terms of K-theory involves a bundle of K groups of non-commutative algebras over the Kahler cone with nontrivial monodromy. Thus the study of monodromy in K groups associated with quantized algebras can be used to predict the phase structure of systems of (non-supersymmetric) Dbranes.