N = 2 Chern-Simons-matter theories without vortices

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 dramat...

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Detalles Bibliográficos
Autores principales:	Russo, Jorge G., Schaposnik, Fidel Arturo
Formato:	Articulo
Lenguaje:	Inglés
Publicado:	2017
Materias:	Ciencias Exactas Física Chern-Simons Theories Extended Supersymmetry Matrix Models Supersymmetric Gauge Theory
Acceso en línea:	http://sedici.unlp.edu.ar/handle/10915/87650
Aporte de:	SEDICI (UNLP) de Universidad Nacional de La Plata

Descripción
Sumario:	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).