8 papers
Refined Vafa-Witten invariants for toric surfaces from supersymmetric localization in 5D gauge theory
Osama Khlaif, Boris Pioline, Alessandro Tanzini
We study the partition function of five-dimensional supersymmetric Yang-Mills (SYM) theory with an adjoint hypermultiplet of mass on a toric KÃ…
Bilinear tau forms of quantum Painlevé equations and blowup relations in SUSY gauge theories
Giulio Bonelli, Anton Shchechkin, Alessandro Tanzini
We derive bilinear tau forms of the canonically quantized Painlevé equations, thereby relating them to those previously obtained from the blowup relatio…
On a 5D UV completion of Argyres-Douglas theories
Giulio Bonelli, Pavlo Gavrylenko, Ideal Majtara +1
We discuss a novel UV completion of a class of Argyres-Douglas (AD) theories in the -background by its embedding into the renormalisation group flow from five dimensional $\mat…
Blowing-up the edge: connection formulae and stability chart of the Lamé equation
Giulio Bonelli, Pavlo Gavrylenko, Tommaso Pedroni +1
We study periodic spectral problems through their connection with supersymmetric gauge theories and two-dimensional conformal field theory. To characterize the associated stability…
One loop corrections to the thermodynamics of near-extremal Kerr-(A)dS black holes from Heun equation
Paolo Arnaudo, Giulio Bonelli, Alessandro Tanzini
We compute one-loop corrections to the euclidean gravitational path integral of near-extremal (anti-)de Sitter-Kerr black hole in terms of the connection coefficients of the Heun e…
Refined Painlevé/gauge theory correspondence and quantum tau functions
G. Bonelli, A. Shchechkin, A. Tanzini
In this paper we study strong coupling asymptotic expansions of four-dimensional gauge theory partition functions in general -background. This is done by…