Bands and gaps in Nekrasov partition function

A. Gorsky; A. Milekhin; N. Sopenko

doi:10.1007/JHEP01(2018)133

Bands and gaps in Nekrasov partition function

A. Gorsky
, A. Milekhin
, N. Sopenko

Physics And Astronomy

Research output: Contribution to journal › Article › peer-review

16 Scopus citations

Abstract

We discuss the effective twisted superpotentials of 2d N = (2, 2) theories arising upon the reduction of 4d N = 2 gauge theories on the Ω-deformed cigar-like geometry. We explain field-theoretic origins of the gaps in the spectrum in the corresponding quantum mechanical (QM) systems. We find local 2d descriptions of the physics near these gaps by resumming the non-perturbative part of the twisted superpotential and discuss arising wall-crossing phenomena. The interpretation of the associated phenomena in the classical Liouville theory and in the scattering of two heavy states in AdS₃ gravity is suggested. Some comments concerning a possible interpretation of the band structure in QM in terms of the Schwinger monopole-pair production in 4d are presented.

Original language	English
Article number	133
Journal	Journal of High Energy Physics
Volume	2018
Issue number	1
DOIs	https://doi.org/10.1007/JHEP01(2018)133
State	Published - Jan 1 2018

Bibliographical note

Publisher Copyright:
© 2018, The Author(s).

Funding

We would like to thank G. Basar, K. Bulycheva, O. Costin, G. Dunne, F. Popov, E. Gorsky, J. Kaplan, P. Koroteev, S. Lukyanov, N. Nekrasov, G. Tarnopolsky for useful discussions. A.G. and N.S. are grateful KITP at UCSB for the hospitality during KITP program “Resurgent Asymptotics in Physics and Mathematics”’ where the part of the work has been done. A.G. thanks Basis Foundation fellowship for the support. The work of A.G. was performed at the Institute for Information Transmission Problems with the financial support of the Russian Science Foundation (Grant No.14-50-00150);

Funders	Funder number
Basis Foundation
Russian Science Foundation	No.14-50-00150
Horizon 2020 Framework Programme	677368

Keywords

Nonperturbative Effects
Supersymmetric Effective Theories
Supersymmetric Gauge Theory

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1007/JHEP01(2018)133

Cite this

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N2 - We discuss the effective twisted superpotentials of 2d N = (2, 2) theories arising upon the reduction of 4d N = 2 gauge theories on the Ω-deformed cigar-like geometry. We explain field-theoretic origins of the gaps in the spectrum in the corresponding quantum mechanical (QM) systems. We find local 2d descriptions of the physics near these gaps by resumming the non-perturbative part of the twisted superpotential and discuss arising wall-crossing phenomena. The interpretation of the associated phenomena in the classical Liouville theory and in the scattering of two heavy states in AdS3 gravity is suggested. Some comments concerning a possible interpretation of the band structure in QM in terms of the Schwinger monopole-pair production in 4d are presented.

AB - We discuss the effective twisted superpotentials of 2d N = (2, 2) theories arising upon the reduction of 4d N = 2 gauge theories on the Ω-deformed cigar-like geometry. We explain field-theoretic origins of the gaps in the spectrum in the corresponding quantum mechanical (QM) systems. We find local 2d descriptions of the physics near these gaps by resumming the non-perturbative part of the twisted superpotential and discuss arising wall-crossing phenomena. The interpretation of the associated phenomena in the classical Liouville theory and in the scattering of two heavy states in AdS3 gravity is suggested. Some comments concerning a possible interpretation of the band structure in QM in terms of the Schwinger monopole-pair production in 4d are presented.

KW - Nonperturbative Effects

KW - Supersymmetric Effective Theories

KW - Supersymmetric Gauge Theory

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DO - 10.1007/JHEP01(2018)133

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VL - 2018

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 1

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ER -

Bands and gaps in Nekrasov partition function

Abstract

Bibliographical note

Funding

Keywords

ASJC Scopus subject areas

Access to Document

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