Refined counting of necklaces in one-loop N=4 SYM

Author(s)

Suzuki, Ryo

• Document type: Journal article
• Source: Journal of High Energy Physics; v. N/A, n. 6, p. 33-pg., 2017-06-12.

Abstract

We compute the grand partition function of N = 4 SYM at one-loop in the SU(2) sector with general chemical potentials, extending the results of Polya's theorem. We make use of finite group theory, applicable to all orders of perturbative 1/N-c expansion. We show that only the planar terms contribute to the grand partition function, which is therefore equal to the grand partition function of an ensemble of XXX1/2 spin chains. We discuss how Hagedorn temperature changes on the complex plane of chemical potentials. (AU)

• FAPESP's process: 15/04030-7 - Integrability in Gauge theories
• Grantee: Ryo Suzuki
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• FAPESP's process: 11/11973-4 - ICTP South American Institute for Fundamental Research: a regional center for theoretical physics
• Grantee: Nathan Jacob Berkovits
• Support Opportunities: Research Projects - Thematic Grants
• FAPESP's process: 16/01343-7 - ICTP South American Institute for Fundamental Research: a regional center for theoretical physics
• Grantee: Nathan Jacob Berkovits
• Support Opportunities: Special Projects
• FAPESP's process: 16/25619-1 - Integrability in Gauge theories
• Grantee: Ryo Suzuki
• Support Opportunities: Scholarships in Brazil - Post-Doctoral