Instanton effects and quantum spectral curves

作者: Johan Källén , Marcos Mariño

DOI: 10.1007/S00023-015-0421-1

关键词:

摘要: We study a spectral problem associated to the quantization of curve arising in local mirror symmetry. The perturbative WKB condition is determined by quantum periods, or equivalently refined topological string Nekrasov–Shatashvili (NS) limit. show that information encoded periods radically insufficient determine spectrum: there an infinite series instanton corrections, which are non-perturbative \({\hbar}\), and lead exact condition. Moreover, we conjecture precise form corrections: they standard unrefined free energy, test our successfully against numerical calculations spectrum. This suggests sector NS contains about string. As application condition, explain some recent observations relating membrane corrections ABJM theory

参考文章(63)
Yasuyuki Hatsuda, Sanefumi Moriyama, Kazumi Okuyama, Exact results on the ABJM Fermi gas Journal of High Energy Physics. ,vol. 2012, pp. 20- ,(2012) , 10.1007/JHEP10(2012)020
Guglielmo Lockhart, Cumrun Vafa, None, Superconformal partition functions and non-perturbative topological strings Journal of High Energy Physics. ,vol. 2018, pp. 1- 43 ,(2018) , 10.1007/JHEP10(2018)051
Nadav Drukker, Marcos Mariño, Pavel Putrov, From weak to strong coupling in ABJM theory Communications in Mathematical Physics. ,vol. 306, pp. 511- 563 ,(2011) , 10.1007/S00220-011-1253-6
Paul H. Ginsparg, P. Di Francesco, Jean Zinn-Justin, 2D gravity and random matrices Physics Reports. ,vol. 254, pp. 1- 133 ,(1995) , 10.1016/0370-1573(94)00084-G
Ofer Aharony, Oren Bergman, Daniel Louis Jafferis, Juan Maldacena, N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals Journal of High Energy Physics. ,vol. 2008, pp. 091- 091 ,(2008) , 10.1088/1126-6708/2008/10/091
Kazumi Okuyama, Marcos Mari, Yasuyuki Hatsuda, Non-perturbative eects and the rened topological string ,(2014)
Frédéric Pham, Eric Delabaere, Resurgent methods in semi-classical asymptotics Annales De L Institut Henri Poincare-physique Theorique. ,vol. 71, pp. 1- 94 ,(1999)
Steven A Orszag, Carl M Bender, Advanced mathematical methods for scientists and engineers I: asymptotic methods and perturbation theory. Advanced Mathematical Methods for Scientists and Engineers I. Asymptotic Methods and Perturbation Theory Volume package: Bender. pp. 593- ,(1999)
Nikita A. Nekrasov, Seiberg-Witten Prepotential from Instanton Counting Advances in Theoretical and Mathematical Physics. ,vol. 7, pp. 831- 864 ,(2003) , 10.4310/ATMP.2003.V7.N5.A4
Marc Schiereck, Albrecht Klemm, Masoud Soroush, Marcos Marino Beiras, ABJM Wilson loops in the Fermi gas approach Zeitschrift für Naturforschung A. pp. 178- 209 ,(2013)