Noncommutative instantons in diverse dimensions
RJ Szabo, M Tirelli - The European Physical Journal Special Topics, 2023 - Springer
This is a mini-review about generalized instantons of noncommutative gauge theories in
dimensions 4, 6 and 8, with emphasis on their realizations in type II string theory, their …
dimensions 4, 6 and 8, with emphasis on their realizations in type II string theory, their …
The origin of Calabi-Yau crystals in BPS states counting
A bstract We study the counting problem of BPS D-branes wrap** holomorphic cycles of a
general toric Calabi-Yau manifold. We evaluate the Jeffrey-Kirwan residues for the flavoured …
general toric Calabi-Yau manifold. We evaluate the Jeffrey-Kirwan residues for the flavoured …
Attractor invariants, brane tilings and crystals
Supersymmetric D-brane bound states on a Calabi-Yau threefold $ X $ are counted by
generalized Donaldsdon-Thomas invariants $\Omega_Z (\gamma) $, depending on a Chern …
generalized Donaldsdon-Thomas invariants $\Omega_Z (\gamma) $, depending on a Chern …
[HTML][HTML] Tetrahedron instantons in Donaldson-Thomas theory
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 …
of tetrahedron instantons as a Quot scheme on a singular threefold and describe it as a …
Instanton counting and Donaldson-Thomas theory on toric Calabi-Yau four-orbifolds
RJ Szabo, M Tirelli - arxiv preprint arxiv:2301.13069, 2023 - arxiv.org
We study rank $ r $ cohomological Donaldson-Thomas theory on a toric Calabi-Yau orbifold
of $\mathbb {C}^ 4$ by a finite abelian subgroup $\mathsf\Gamma $ of $\mathsf {SU}(4) …
of $\mathbb {C}^ 4$ by a finite abelian subgroup $\mathsf\Gamma $ of $\mathsf {SU}(4) …
Exponential BPS graphs and D brane counting on toric Calabi-Yau threefolds: Part I
We study BPS spectra of D-branes on local Calabi-Yau threefolds O (-p) ⊕ O (p-2) → P^ 1 O
(-p)⊕ O (p-2)→ P 1 with p= 0, 1 p= 0, 1, corresponding to C^ 3/Z _ 2 C 3/Z 2 and the …
(-p)⊕ O (p-2)→ P 1 with p= 0, 1 p= 0, 1, corresponding to C^ 3/Z _ 2 C 3/Z 2 and the …
Crystal melting, BPS quivers and plethystics
A bstract We study the refined and unrefined crystal/BPS partition functions of D6-D2-D0
brane bound states for all toric Calabi-Yau threefolds without compact 4-cycles and some …
brane bound states for all toric Calabi-Yau threefolds without compact 4-cycles and some …
Spectral duality in elliptic systems, six-dimensional gauge theories and topological strings
A Mironov, A Morozov, Y Zenkevich - Journal of High Energy Physics, 2016 - Springer
A bstract We consider Dotsenko-Fateev matrix models associated with compactified Calabi-
Yau threefolds. They can be constructed with the help of explicit expressions for refined …
Yau threefolds. They can be constructed with the help of explicit expressions for refined …
Tetrahedron instantons
We introduce and study tetrahedron instantons, which can be realized in string theory by D 1-
branes probing a configuration of intersecting D 7-branes in flat spacetime with a proper …
branes probing a configuration of intersecting D 7-branes in flat spacetime with a proper …
ADHM in 8d, coloured solid partitions and Donaldson-Thomas invariants on orbifolds
We study the moduli space of SU (4) invariant BPS conditions in supersymmetric gauge
theory on non-commutative C 4 by means of an ADHM-like quiver construction and we …
theory on non-commutative C 4 by means of an ADHM-like quiver construction and we …