[HTML][HTML] Tetrahedron instantons in Donaldson-Thomas theory

N Fasola, S Monavari - Advances in Mathematics, 2025 - Elsevier
Inspired by the work of Pomoni-Yan-Zhang in String Theory, we introduce the moduli space
of tetrahedron instantons as a Quot scheme on a singular threefold and describe it as a …

Super Yang-Mills on branched covers and weighted projective spaces

R Mauch, L Ruggeri - Journal of High Energy Physics, 2024 - Springer
A bstract In this work we conjecture the Coulomb branch partition function, including flux and
instanton contributions, for the\(\mathcal {N}\)= 2 vector multiplet on weighted projective …

Partition functions and fibering operators on the Coulomb branch of 5d SCFTs

C Closset, H Magureanu - Journal of High Energy Physics, 2023 - Springer
A bstract We study 5d\(\mathcal {N}\)= 1 supersymmetric field theories on closed five-
manifolds\(\mathcal {M}\) 5 which are principal circle bundles over simply-connected Kähler …

Codimension-Two Defects and SYM on Orbifolds

R Mauch, L Ruggeri - arxiv preprint arxiv:2502.13611, 2025 - arxiv.org
We study $ U (N) $ SYM theories on spaces with orbifold singularities via an equivalent
description in terms of gauge theories on smooth manifolds with insertions of Gukov-Witten …

From 5d flat connections to 4d fluxes (the art of slicing the cone)

J Lundin, R Mauch, L Ruggeri - Journal of High Energy Physics, 2023 - Springer
A bstract We compute the Coulomb branch partition function of the 4d\(\mathcal {N}\)= 2
vector multiplet on closed simply-connected quasi-toric manifolds B. This includes a large …

Scaling black holes and modularity

A Chattopadhyaya, J Manschot, S Mondal - Journal of High Energy …, 2022 - Springer
A bstract Scaling black holes are solutions of supergravity with multiple black hole
singularities, which can be adiabatically connected to a single center black hole solution …

Refined Painlev\'e/gauge theory correspondence and quantum tau functions

G Bonelli, A Shchechkin, A Tanzini - arxiv preprint arxiv:2502.01499, 2025 - arxiv.org
In this paper we study strong coupling asymptotic expansions of ${\mathcal N}= 2$$ D= 4$$
SU (2) $ gauge theory partition functions in general $\Omega $-background. This is done by …

Numerical experiments on coefficients of instanton partition functions

A Chattopadhyaya, J Manschot - arxiv preprint arxiv:2301.06711, 2023 - arxiv.org
We analyze the coefficients of partition functions of Vafa-Witten theory for the complex
projective plane $\mathbb {CP}^ 2$. We experimentally study the growth of the coefficients …

Exact Results for SYM on and with Conical Singularities

L Ruggeri - arxiv preprint arxiv:2502.13614, 2025 - arxiv.org
We compute the full partition function, including flux and instanton contributions, for an
$\mathcal {N}= 1$ theory of vector multiplets and hypermultiplets on five-dimensional toric …

Recurrence relation for instanton partition function in SU (N) gauge theory

E Sysoeva, A Bykov - Journal of High Energy Physics, 2023 - Springer
JHEP03(2023)220 Page 1 JHEP03(2023)220 Published for SISSA by Springer Received:
October 2, 2022 Revised: January 24, 2023 Accepted: March 9, 2023 Published: March 28, 2023 …