SwePub - sökning: WFRF:(Del Monte Fabrizio)

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1.	Del Monte, Fabrizio, et al. (författare) The threefold way to quantum periods : WKB, TBA equations and q-Painlevé 2023 Ingår i: SciPost Physics. - : SCIPOST FOUNDATION. - 2542-4653. ; 15:3 Tidskriftsartikel (refereegranskat)abstract We show that TBA equations defined by the BPS spectrum of 5d N = 1 SU(2) Yang-Mills on S1 x R4 encode the q-Painleve III3 equation. We find a fine-tuned stratum in the physical moduli space of the theory where solutions to TBA equations can be obtained exactly, and verify that they agree with the algebraic solutions to q-Painleve. Switching from the physical moduli space to that of stability conditions, we identify two one-parameter deformations of the fine-tuned stratum, where the general solution of the q-Painleve equation in terms of dual instanton partition functions continues to provide explicit TBA solutions. Motivated by these observations, we propose a further extensions of the range of validity of this correspondence, under a suitable identification of moduli. As further checks of our proposal, we study the behavior of exact WKB quantum periods for the quantum curve of local P1 x P1.

Del Monte, Fabrizio, et al. (författare)
The threefold way to quantum periods : WKB, TBA equations and q-Painlevé
2023
Ingår i: SciPost Physics. - : SCIPOST FOUNDATION. - 2542-4653. ; 15:3
Tidskriftsartikel (refereegranskat)abstract
- We show that TBA equations defined by the BPS spectrum of 5d N = 1 SU(2) Yang-Mills on S1 x R4 encode the q-Painleve III3 equation. We find a fine-tuned stratum in the physical moduli space of the theory where solutions to TBA equations can be obtained exactly, and verify that they agree with the algebraic solutions to q-Painleve. Switching from the physical moduli space to that of stability conditions, we identify two one-parameter deformations of the fine-tuned stratum, where the general solution of the q-Painleve equation in terms of dual instanton partition functions continues to provide explicit TBA solutions. Motivated by these observations, we propose a further extensions of the range of validity of this correspondence, under a suitable identification of moduli. As further checks of our proposal, we study the behavior of exact WKB quantum periods for the quantum curve of local P1 x P1.

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