Report/Journal Article

PUBDB-2017-00324

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Quantization conditions and functional equations in ABJ(M) theories

Grassi, A. (Corresponding author) ; Hatsuda, Y. ; Marino, M.

2016
IOP Publ. Bristol

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Please use a persistent id in citations: doi:10.1088/1751-8113/49/11/115401  doi:10.3204/PUBDB-2017-00324

Report No.: DESY-14-182; arXiv:1410.7658

Abstract: The partition function of ABJ(M) theories on the three-sphere can be regarded as the canonical partition function of an ideal Fermi gas with a non-trivial Hamiltonian. We propose an exact expression for the spectral determinant of this Hamiltonian, which generalizes recent results obtained in the maximally supersymmetric case. As a consequence, we find an exact WKB quantization condition determining the spectrum which is in agreement with numerical results. In addition, we investigate the factorization properties and functional equations for our conjectured spectral determinants. These functional equations relate the spectral determinants of ABJ theories to consecutive ranks of gauge groups but the same Chern–Simons coupling.

Keyword(s): spectral ; partition function ; quantization ; Hamiltonian ; Chern-Simons term ; WKB approximation ; supersymmetry ; determinant ; Fermi gas ; ABJM model

Note: (c) IOP Publishing Ltd.

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Contributing Institute(s):

1. Theorie-Gruppe (T)

Research Program(s):

1. 611 - Fundamental Particles and Forces (POF3-611) (POF3-611)

Experiment(s):

1. No specific instrument

Appears in the scientific report 2016

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Database coverage:
; ; Current Contents - Physical, Chemical and Earth Sciences ; Ebsco Academic Search ; IF < 5 ; JCR ; National-Konsortium ; Nationallizenz ; SCOPUS ; Science Citation Index ; Science Citation Index Expanded ; Thomson Reuters Master Journal List ; Web of Science Core Collection

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Linked articles:

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Preprint/Internal Report Grassi, A. (Corresponding Author) ; Hatsuda, Y.DESY* ; Marino, M.
Quantization Conditions and Functional Equations in ABJ(M) Theories
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