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...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2017 |
| País: | Argentina |
| Institución: | Universidad Nacional de La Plata |
| Repositorio: | SEDICI (UNLP) |
| Idioma: | inglés |
| OAI Identifier: | oai:sedici.unlp.edu.ar:10915/87650 |
| Acceso en línea: | http://sedici.unlp.edu.ar/handle/10915/87650 |
| Access Level: | acceso abierto |
| Palabra clave: | Ciencias Exactas Física Chern-Simons Theories Extended Supersymmetry Matrix Models Supersymmetric Gauge Theory |
| 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). |
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