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Title: High-temperature expansion of supersymmetric partition functions

Abstract

Di Pietro and Komargodski have recently demonstrated a four-dimensional counterpart of Cardy’s formula, which gives the leading high-temperature (β → 0) behavior of supersymmetric partition functions Z SUSY(β). By focusing on superconformal theories, we elaborate on the subleading contributions to their formula when applied to free chiral and U(1) vector multiplets. In particular, we see that the high-temperature expansion of ln Z SUSY(β) terminates at order β 0. We also demonstrate how their formula must be modified when applied to SU(N) toric quiver gauge theories in the planar (N → ∞) limit. Our method for regularizing the one-loop determinants of chiral and vector multiplets helps to clarify the relation between the 4d N=1 superconformal index and its corresponding supersymmetric partition function obtained by path-integration.

Authors:
 [1];  [1];  [2]
  1. Univ. of Michigan, Ann Arbor, MI (United States). Michigan Center for Theoretical Physics and Randall Lab. of Physics
  2. Univ. of Utrecht (Netherlands). Inst. for Theoretical Physics and Spinoza Inst.
Publication Date:
Research Org.:
Univ. of Michigan, Ann Arbor, MI (United States)
Sponsoring Org.:
USDOE Office of Science (SC); Netherlands Organisation for Scientific Research (NWO)
Contributing Org.:
D-ITP consortium
OSTI Identifier:
1454558
Grant/Contract Number:  
SC0007859
Resource Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2015; Journal Issue: 7; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Supersymmetric gauge theory; Anomalies in Field and String Theories; AdSCFT Correspondence; 1/N Expansion

Citation Formats

Ardehali, Arash Arabi, Liu, James T., and Szepietowski, Phillip. High-temperature expansion of supersymmetric partition functions. United States: N. p., 2015. Web. doi:10.1007/JHEP07(2015)113.
Ardehali, Arash Arabi, Liu, James T., & Szepietowski, Phillip. High-temperature expansion of supersymmetric partition functions. United States. doi:10.1007/JHEP07(2015)113.
Ardehali, Arash Arabi, Liu, James T., and Szepietowski, Phillip. Wed . "High-temperature expansion of supersymmetric partition functions". United States. doi:10.1007/JHEP07(2015)113. https://www.osti.gov/servlets/purl/1454558.
@article{osti_1454558,
title = {High-temperature expansion of supersymmetric partition functions},
author = {Ardehali, Arash Arabi and Liu, James T. and Szepietowski, Phillip},
abstractNote = {Di Pietro and Komargodski have recently demonstrated a four-dimensional counterpart of Cardy’s formula, which gives the leading high-temperature (β → 0) behavior of supersymmetric partition functions ZSUSY(β). By focusing on superconformal theories, we elaborate on the subleading contributions to their formula when applied to free chiral and U(1) vector multiplets. In particular, we see that the high-temperature expansion of ln ZSUSY(β) terminates at order β0. We also demonstrate how their formula must be modified when applied to SU(N) toric quiver gauge theories in the planar (N → ∞) limit. Our method for regularizing the one-loop determinants of chiral and vector multiplets helps to clarify the relation between the 4d N=1 superconformal index and its corresponding supersymmetric partition function obtained by path-integration.},
doi = {10.1007/JHEP07(2015)113},
journal = {Journal of High Energy Physics (Online)},
number = 7,
volume = 2015,
place = {United States},
year = {2015},
month = {7}
}

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    Works referencing / citing this record:

    Cardy-like asymptotics of the 4d N = 4 $$ \mathcal{N}=4 $$ index and AdS5 blackholes
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