Quantum spin systems and supersymmetric gauge theories. Part I

Norton Lee, Nikita Nekrasov

Результат исследований: Вклад в журналСтатьярецензирование

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Аннотация

The relation between supersymmetric gauge theories in four dimensions and quantum spin systems is exploited to find an explicit formula for the Jost function of the N site sl2X X X spin chain (for infinite dimensional complex spin representations), as well as the SLN Gaudin system, which reduces, in a limiting case, to that of the N-particle periodic Toda chain. Using the non-perturbative Dyson-Schwinger equations of the supersymmetric gauge theory we establish relations between the spin chain commuting Hamiltonians with the twisted chiral ring of gauge theory. Along the way we explore the chamber dependence of the supersymmetric partition function, also the expectation value of the surface defects, giving new evidence for the AGT conjecture.

Язык оригиналаАнглийский
Номер статьи93
ЖурналJournal of High Energy Physics
Том2021
Номер выпуска3
DOI
СостояниеОпубликовано - мар. 2021
Опубликовано для внешнего пользованияДа

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