Branes and Supergroups

Victor Mikhaylov, Edward Witten

Research output: Contribution to journalArticlepeer-review

42 Scopus citations

Abstract

Extending previous work that involved D3-branes ending on a fivebrane with θYM≠0, we consider a similar two-sided problem. This construction, in case the fivebrane is of NS type, is associated to the three-dimensional Chern–Simons theory of a supergroup U(m|n) or OSp(m|2n) rather than an ordinary Lie group as in the one-sided case. By S-duality, we deduce a dual magnetic description of the supergroup Chern–Simons theory; a slightly different duality, in the orthosymplectic case, leads to a strong-weak coupling duality between certain supergroup Chern–Simons theories on R3; and a further T-duality leads to a version of Khovanov homology for supergroups. Some cases of these statements are known in the literature. We analyze how these dualities act on line and surface operators.

Original languageEnglish (US)
Pages (from-to)699-832
Number of pages134
JournalCommunications In Mathematical Physics
Volume340
Issue number2
DOIs
StatePublished - Dec 23 2015
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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