Branes and Supergroups View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2015-12

AUTHORS

Victor Mikhaylov, Edward Witten

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. More... »

PAGES

699-832

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s00220-015-2449-y

DOI

http://dx.doi.org/10.1007/s00220-015-2449-y

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1021328208


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