Supersymmetric <i>U</i>(<i>N</i>) Chern-Simons-Matter Theory and Phase Transitions

We study N=2 supersymmetric U(N) Chern–Simons with Nf fundamental and Nf antifundamental chiral multiplets of mass m in the parameter space spanned by (g, m, N, Nf), where g denotes the coupling constant. In particular, we analyze the matrix model description of its partition function, both at finit...

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Autores principales: Russo, Jorge G., Silva, Guillermo Ariel, Tierz, Miguel
Formato: Articulo Preprint
Lenguaje:Inglés
Publicado: 2015
Materias:
Física
Chern-simons
Supersymmetry
Matrix models
Partition function
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/99152
https://ri.conicet.gov.ar/11336/50032
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-99152
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Chern-simons
Supersymmetry
Matrix models
Partition function
spellingShingle Física
Chern-simons
Supersymmetry
Matrix models
Partition function
Russo, Jorge G.
Silva, Guillermo Ariel
Tierz, Miguel
Supersymmetric <i>U</i>(<i>N</i>) Chern-Simons-Matter Theory and Phase Transitions
topic_facet Física
Chern-simons
Supersymmetry
Matrix models
Partition function
description We study N=2 supersymmetric U(N) Chern–Simons with Nf fundamental and Nf antifundamental chiral multiplets of mass m in the parameter space spanned by (g, m, N, Nf), where g denotes the coupling constant. In particular, we analyze the matrix model description of its partition function, both at finite N using the method of orthogonal polynomials together with Mordell integrals and, at large N with fixed g, using the theory of Toeplitz determinants. We show for the massless case that there is an explicit realization of the Giveon–Kutasov duality. For finite N, with N > Nf, three regimes that exactly correspond to the known three large N phases of the theory are identified and characterized.
format Articulo
Preprint
author Russo, Jorge G.
Silva, Guillermo Ariel
Tierz, Miguel
author_facet Russo, Jorge G.
Silva, Guillermo Ariel
Tierz, Miguel
author_sort Russo, Jorge G.
title Supersymmetric <i>U</i>(<i>N</i>) Chern-Simons-Matter Theory and Phase Transitions
title_short Supersymmetric <i>U</i>(<i>N</i>) Chern-Simons-Matter Theory and Phase Transitions
title_full Supersymmetric <i>U</i>(<i>N</i>) Chern-Simons-Matter Theory and Phase Transitions
title_fullStr Supersymmetric <i>U</i>(<i>N</i>) Chern-Simons-Matter Theory and Phase Transitions
title_full_unstemmed Supersymmetric <i>U</i>(<i>N</i>) Chern-Simons-Matter Theory and Phase Transitions
title_sort supersymmetric <i>u</i>(<i>n</i>) chern-simons-matter theory and phase transitions
publishDate 2015
url http://sedici.unlp.edu.ar/handle/10915/99152
https://ri.conicet.gov.ar/11336/50032
work_keys_str_mv AT russojorgeg supersymmetriciuiinichernsimonsmattertheoryandphasetransitions
AT silvaguillermoariel supersymmetriciuiinichernsimonsmattertheoryandphasetransitions
AT tierzmiguel supersymmetriciuiinichernsimonsmattertheoryandphasetransitions
bdutipo_str Repositorios
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