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SL(2, Z) ACTION ON THREE-DIMENSIONAL CONFORMAL FIELD THEORIES WITH ABELIAN SYMMETRY
[chapter]
2005
From Fields to Strings: Circumnavigating Theoretical Physics
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On the space of three-dimensional conformal field theories with U (1) symmetry and a chosen coupling to a background gauge field, there is a natural action of the group SL(2, Z). The generator S of SL(2, Z) acts by letting the background gauge field become dynamical, an operation considered recently by Kapustin and Strassler in explaining three-dimensional mirror symmetry. The other generator T acts by shifting the Chern-Simons coupling of the background field. This SL(2, Z) action in three
doi:10.1142/9789812775344_0028
fatcat:ryhfif42czgd5mv3oe5rzvkyqq