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Sub-leading structures in superconformal indices: subdominant saddles and logarithmic contributions

Journal Article · · Journal of High Energy Physics (Online)
 [1];  [2];  [2];  [3]
  1. The Abdus Salam International Centre for Theoretical Physics, Trieste (Italy); SISSA International School for Advanced Studies, Trieste (Italy); INFN, sezione di Trieste (Italy); Univ. de Pinar del Río (Cuba); University of Michigan, Ann Arbor MI
  2. Univ. of Michigan, Ann Arbor, MI (United States)
  3. The Abdus Salam International Centre for Theoretical Physics, Trieste (Italy); Univ. of Michigan, Ann Arbor, MI (United States)
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We systematically study various sub-leading structures in the superconformal index of N = 4 supersymmetric Yang-Mills theory with SU(N) gauge group. We concentrate in the superconformal index description as a matrix model of elliptic gamma functions and in the Bethe-Ansatz presentation. Our saddle-point approximation goes beyond the Cardy-like limit and we uncover various saddles governed by a matrix model corresponding to SU(N) Chern-Simons theory. The dominant saddle, however, leads to perfect agreement with the Bethe-Ansatz approach. We also determine the logarithmic correction to the superconformal index to be log N, finding precise agreement between the saddle-point and Bethe-Ansatz approaches in their respective approximations. We generalize the two approaches to cover a large class of 4d N = 1 superconformal theories. We find that also in this case both approximations agree all the way down to a universal contribution of the form log N. The universality of this last result constitutes a robust signature of this ultraviolet description of asymptotically AdS5 black holes and could be tested by low-energy IIB supergravity.

Research Organization:
Univ. of Michigan, Ann Arbor, MI (United States)
Sponsoring Organization:
USDOE Office of Science (SC), High Energy Physics (HEP)
Grant/Contract Number:
SC0007859
OSTI ID:
1807466
Journal Information:
Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 1 Vol. 2021; ISSN 1029-8479
Publisher:
Springer BerlinCopyright Statement
Country of Publication:
United States
Language:
English

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Related Subjects

1/N expansion
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AdS-CFT correspondence
Conformal field theory
Supersymmetric gauge theory