New "gauge'' theories in six dimensions
Author(s) -
Edward Witten
Publication year - 1998
Publication title -
journal of high energy physics
Language(s) - English
Resource type - Journals
eISSN - 1126-6708
pISSN - 1029-8479
DOI - 10.1088/1126-6708/1998/01/001
Subject(s) - gauge theory , gauge group , group (periodic table) , simple (philosophy) , theoretical physics , matrix (chemical analysis) , gauge (firearms) , mathematics , type (biology) , physics , pure mathematics , mathematical physics , quantum mechanics , epistemology , philosophy , materials science , archaeology , composite material , history , ecology , biology
More general constructions are given of six-dimensional theories that look atlow energy like six-dimensional super Yang-Mills theory. The constructionsstart with either parallel fivebranes in Type IIB, or M-theory on$(\C^2\times\S^1)/\Gamma$ for $\Gamma$ a suitable finite group. Via theseconstructions, one can obtain six-dimensional theories with any simple gaugegroup, and $SU(r)$ theories with any rational theta angle. A matrixconstruction of these theories is also possible.Comment: 32 pp., formula for theta angle correcte
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