We study various duality webs involving the 3d FT[SU(N)] theory, a close relative of the T[SU(N)] quiver tail. We first map the partition functions of FT[SU(N)] and its 3d spectral dual to a pair of spectral dual q-Toda conformal blocks. Then we show how to obtain the FT[SU(N)] partition function by Higgsing a 5d linear quiver gauge theory, or equivalently from the refined topological string partition function on a certain toric Calabi-Yau three-fold. 3d spectral duality in this context descends from 5d spectral duality. Finally we discuss the 2d reduction of the 3d spectral dual pair and study the corresponding limits on the q-Toda side. In particular we obtain a new direct map between the partition function of the 2d FT[SU(N)] GLSM and an (N + 2)-point Toda conformal block.

Nedelin, A., Pasquetti, S., Zenkevich, Y. (2019). T[SU(N)] duality webs: mirror symmetry, spectral duality and gauge/CFT correspondences. JOURNAL OF HIGH ENERGY PHYSICS, 2019(2) [10.1007/JHEP02(2019)176].

T[SU(N)] duality webs: mirror symmetry, spectral duality and gauge/CFT correspondences

Nedelin, Anton;Pasquetti, Sara
;
2019

Abstract

We study various duality webs involving the 3d FT[SU(N)] theory, a close relative of the T[SU(N)] quiver tail. We first map the partition functions of FT[SU(N)] and its 3d spectral dual to a pair of spectral dual q-Toda conformal blocks. Then we show how to obtain the FT[SU(N)] partition function by Higgsing a 5d linear quiver gauge theory, or equivalently from the refined topological string partition function on a certain toric Calabi-Yau three-fold. 3d spectral duality in this context descends from 5d spectral duality. Finally we discuss the 2d reduction of the 3d spectral dual pair and study the corresponding limits on the q-Toda side. In particular we obtain a new direct map between the partition function of the 2d FT[SU(N)] GLSM and an (N + 2)-point Toda conformal block.
Articolo in rivista - Articolo scientifico
Conformal and W Symmetry; Supersymmetry and Duality; Topological Strings; Nuclear and High Energy Physics
English
2019
2019
2
176
partially_open
Nedelin, A., Pasquetti, S., Zenkevich, Y. (2019). T[SU(N)] duality webs: mirror symmetry, spectral duality and gauge/CFT correspondences. JOURNAL OF HIGH ENERGY PHYSICS, 2019(2) [10.1007/JHEP02(2019)176].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/227462
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