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The threefold way t...
The threefold way to quantum periods : WKB, TBA equations and q-Painlevé
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- Del Monte, Fabrizio (författare)
- Univ Montreal, Ctr Rech Math, CP 6128,Succ Ctr Ville, Montreal, PQ H3C 3J, Canada.;Concordia Univ, Dept Math & Stat, 1455 Maisonneuve Blvd W, Montreal, PQ H3G 1M8, Canada.
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- Longhi, Pietro (författare)
- Uppsala universitet,Teoretisk fysik,Geometri och fysik
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Univ Montreal, Ctr Rech Math, CP 6128,Succ Ctr Ville, Montreal, PQ H3C 3J, Canada;Concordia Univ, Dept Math & Stat, 1455 Maisonneuve Blvd W, Montreal, PQ H3G 1M8, Canada. Teoretisk fysik (creator_code:org_t)
- SCIPOST FOUNDATION, 2023
- 2023
- Engelska.
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Ingår i: SciPost Physics. - : SCIPOST FOUNDATION. - 2542-4653. ; 15:3
- Relaterad länk:
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https://doi.org/10.2...
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Abstract
Ämnesord
Stäng
- 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.
Ämnesord
- NATURVETENSKAP -- Fysik -- Annan fysik (hsv//swe)
- NATURAL SCIENCES -- Physical Sciences -- Other Physics Topics (hsv//eng)
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