Symmetry breaking in quantum curves and super Chern-Simons matrix models
Sign Up to like & getrecommendations! Published in 2019 at "Journal of High Energy Physics"
DOI: 10.1007/jhep01(2019)210
Abstract: A bstractIt was known that quantum curves and super Chern-Simons matrix models correspond to each other. From the viewpoint of symmetry, the algebraic curve of genus one, called the del Pezzo curve, enjoys symmetry of… read more here.
Keywords: simons matrix; matrix models; chern simons; curves super ... See more keywords
Resonances and PT symmetry in quantum curves
Sign Up to like & getrecommendations! Published in 2019 at "Journal of High Energy Physics"
DOI: 10.1007/jhep04(2020)150
Abstract: In the correspondence between spectral problems and topological strings, it is natural to consider complex values for the string theory moduli. In the spectral theory side, this corresponds to non-Hermitian quantum curves with complex spectra… read more here.
Keywords: resonances symmetry; quantum curves; symmetry quantum;
Fermi gas approach to general rank theories and quantum curves
Sign Up to like & getrecommendations! Published in 2020 at "Journal of High Energy Physics"
DOI: 10.1007/jhep10(2020)158
Abstract: Abstract It is known that matrix models computing the partition functions of three-dimensional $$ \mathcal{N} $$ N = 4 superconformal Chern-Simons theories described by circular quiver diagrams can be written as the partition functions of… read more here.
Keywords: quantum curves; fermi gas; partition functions; approach ... See more keywords
Quantum curves and q-deformed Painlevé equations
Sign Up to like & getrecommendations! Published in 2019 at "Letters in Mathematical Physics"
DOI: 10.1007/s11005-019-01174-y
Abstract: We propose that the grand canonical topological string partition functions satisfy finite-difference equations in the closed string moduli. In the case of genus one mirror curve, these are conjectured to be the q-difference Painlevé equations… read more here.
Keywords: quantum curves; painlev equations; tau functions; topological string ... See more keywords