Preprint/Internal Report

PUBDB-2015-01024

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.DESY* ; Marino, M.

2014

This record in other databases:  

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 with 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: OA

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Contributing Institute(s):

1. Theorie-Gruppe (T)

Research Program(s):

1. 514 - Theoretical Particle Physics (POF2-514) (POF2-514)
2. GATIS - Gauge Theory as an Integrable System (317089) (317089)

Experiment(s):

1. No specific instrument

Appears in the scientific report 2014

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Database coverage:
; Published

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Linked articles:

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Report/Journal Article Grassi, A. (Corresponding author) ; Hatsuda, Y. ; Marino, M.
Quantization conditions and functional equations in ABJ(M) theories
Journal of physics / A 49, 29 (2016) [10.1088/1751-8113/49/11/115401]2016     Files  Fulltext by arXiv.org BibTeX | EndNote: XML, Text | RIS

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