The Bethe-Ansatz approach to the $$$$ \mathcal{N} $$$$ = 4 superconformal index at finite rank
[1];
[2];
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- The Abdus Salam International Centre for Theoretical Physics, Trieste (Italy); SISSA International School for Advanced Studies and INFN, Trieste (Italy); Universidad de Pinar del Río, Pinar del Río (Cuba). Departamento de Física; Univ. of Michigan, Ann Arbor, MI (United States)
- Univ. of Michigan, Ann Arbor, MI (United States). Leinweber Center for Theoretical Physics
- The Abdus Salam International Centre for Theoretical Physics, Trieste (Italy); Univ. of Michigan, Ann Arbor, MI (United States). Leinweber Center for Theoretical Physics
We investigate the Bethe-Ansatz approach to the superconformal index of$$$$ \mathcal{N} $$$$ = 4 supersymmetric Yang-Mills with SU(N) gauge group in the context of finite rank,N. We explicitly explore the role of the various types of solutions to the Bethe-Ansatz Equations in recovering the exact index forN= 2,3. We classify the Bethe-Ansatz Equations solutions as standard (corresponding to a freely acting orbifoldT2/Zm×Zn) and non-standard. ForN= 2, we find that the index is fully recovered by standard solutions and displays an interesting pattern of cancellations. However, forN ≥3, the standard solutions alone do not suffice to reconstruct the index. We present quantitative arguments in various regimes of fugacities that highlight the challenging role played by the continuous families of non-standard solutions.
- 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:
- 1851003
- Journal Information:
- Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 6 Vol. 2021; ISSN 1029-8479
- Publisher:
- Springer NatureCopyright Statement
- Country of Publication:
- United States
- Language:
- English
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