Nahm sums, quiver A-polynomials and topological recursion

A bstract We consider a large class of q -series that have the structure of Nahm sums, or equivalently motivic generating series for quivers. First, we initiate a systematic analysis and classification of classical and quantum A-polynomials associated to such q -series. These quantum quiver A-polyno...

Celý popis

Uložené v:

Podrobná bibliografia
Vydané v:	The journal of high energy physics Ročník 2020; číslo 7; s. 1 - 52
Hlavní autori:	Larraguível, Hélder, Noshchenko, Dmitry, Panfil, Miłosz, Sułkowski, Piotr
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Berlin/Heidelberg Springer Berlin Heidelberg 01.07.2020 Springer Nature B.V SpringerOpen
Predmet:	Asymptotic series Classical and Quantum Gravitation Differential and Algebraic Geometry Elementary Particles High energy physics Invariants Knot theory Matrix Models Physics Physics and Astronomy Polynomials Quantum Field Theories Quantum Field Theory Quantum Physics Regular Article - Theoretical Physics Relativity Theory String Theory Sums Topological Strings Topology Topological Strings Matrix Models Differential and Algebraic Geometry
ISSN:	1029-8479, 1029-8479
On-line prístup:	Získať plný text
Tagy:	Pridať tag Žiadne tagy, Buďte prvý, kto otaguje tento záznam!

Popis
Shrnutí:	A bstract We consider a large class of q -series that have the structure of Nahm sums, or equivalently motivic generating series for quivers. First, we initiate a systematic analysis and classification of classical and quantum A-polynomials associated to such q -series. These quantum quiver A-polynomials encode recursion relations satisfied by the above series, while classical A-polynomials encode asymptotic expansion of those series. Second, we postulate that those series, as well as their quantum quiver A-polynomials, can be reconstructed by means of the topological recursion. There is a large class of interesting quiver A-polynomials of genus zero, and for a number of them we confirm the above conjecture by explicit calculations. In view of recently found dualities, for an appropriate choice of quivers, these results have a direct interpretation in topological string theory, knot theory, counting of lattice paths, and related topics. In particular it follows, that various quantities characterizing those systems, such as motivic Donaldson-Thomas invariants, various knot invariants, etc., have the structure compatible with the topological recursion and can be reconstructed by its means.
Bibliografia:	ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14
ISSN:	1029-8479 1029-8479
DOI:	10.1007/JHEP07(2020)151