Cluster decomposition, T-duality, and gerby CFTs

Simeon Hellerman, André Henriques, Tony Pantev, Eric Sharpe, Matt Ando

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper, we study conformal field theories (CFTs) associated to gerbes. These theories suffer from a lack of cluster decomposition, but this problem can be resolved: the CFTs are the same as CFTs for disconnected targets. Such theories also lack cluster decomposition, but in that form, the lack is manifestly not very problematic. In particular, we shall see that this matching of CFTs, this duality between noneffective-gaugings and sigma models on disconnected targets, is a worldsheet duality related to T-duality. We perform a wide variety of tests of this claim, ranging from checking partition functions at arbitrary genus to D-branes to mirror symmetry. We also discuss a number of applications of these results, including predictions for quantum cohomology and Gromov-Witten theory and additional physical understanding of the geometric Langlands program.

Original languageEnglish (US)
Pages (from-to)751-818
Number of pages68
JournalAdvances in Theoretical and Mathematical Physics
Volume11
Issue number5
DOIs
StatePublished - Oct 2007

ASJC Scopus subject areas

  • Mathematics(all)
  • Physics and Astronomy(all)

Fingerprint Dive into the research topics of 'Cluster decomposition, T-duality, and gerby CFTs'. Together they form a unique fingerprint.

Cite this