Articulo
N = 2 Chern-Simons-matter theories without vortices
Registro en:
issn:1126-6708
Autor
Russo, Jorge G.
Schaposnik, Fidel Arturo
Institución
Resumen
We study N = 2 Chern-Simons-matter theories with gauge group U<SUB>k<sub>1</sub></SUB>(1)×U<SUB>k<sub>2</sub></SUB>(1). We find that, when k<sub>1</sub> + k<sub>2</sub> = 0, the partition function computed by localization dramatically simplifies and collapses to a single term. We show that the same condition prevents the theory from having supersymmetric vortex configurations. The theories include mass-deformed ABJM theory with U(1)<sub>k</sub>× U<sub>−k</sub>(1) gauge group as a particular case. Similar features are shared by a class of CS-matter theories with gauge group U<SUB>k<sub>1</sub></SUB>(1)×⋯×U<SUB>k<sub>N</sub></SUB>(1). Facultad de Ciencias Exactas Instituto de Física La Plata