52 citations · 83 across the 10 of their papers we have counts for
11 papers
Counting higher-rank sheaves on toric threefolds
Nicolo Piazzalunga, Artan Sheshmani, Shing-Tung Yau
We develop an equivariant K-theoretic vertex formalism for a colored, abelianized higher-rank sector on smooth projective toric threefolds . Nonzero first Chern classes are enco…
Coulomb branch localization, quasimaps, and surface counting in Calabi--Yau fourfolds
Duiliu-Emanuel Diaconescu, Nicolo Piazzalunga
We present a string theoretic approach to surface counting in local Calabi--Yau fourfolds via supersymmetric localization in topologically twisted four-dimensional gauge theories.…
The one-legged K-theoretic vertex of fourfolds from 3d gauge theory
Nicolo Piazzalunga
We present formulas for the K-theoretic Pandharipande-Thomas vertex of fourfolds, for the case of one non-trivial leg. They are obtained from computations in a three-dimensional su…
Global magniicence, or: 4G Networks
Nikita Nekrasov, Nicolo Piazzalunga
The global magnificent four theory is the homological version of a maximally supersymmetric -dimensional gauge theory on a Calabi-Yau fourfold fibered over a circle. In the…
From equivariant volumes to equivariant periods
Luca Cassia, Nicolo Piazzalunga, Maxim Zabzine
We consider generalizations of equivariant volumes of abelian GIT quotients obtained as partition functions of 1d, 2d, and 3d supersymmetric GLSM on , and $D^2 \times S^…
Shifts of prepotentials (with an appendix by Michele Vergne)
Nikita Nekrasov, Nicolo Piazzalunga, Maxim Zabzine
We study the dynamics of supersymmetric theories in five dimensions obtained by compactifications of M-theory on a Calabi-Yau threefold X. For a compact X, this is determined by th…
Playing with the index of M-theory
Michele Del Zotto, Nikita Nekrasov, Nicolo' Piazzalunga +1
Motivated by M-theory, we study rank n K-theoretic Donaldson-Thomas theory on a toric threefold X. In the presence of compact four-cycles, we discuss how to include the contributio…
Magnificent Four with Colors
Nikita Nekrasov, Nicolo' Piazzalunga
We study the rank N magnificent four theory, which is the supersymmetric localization of U(N) super-Yang-Mills theory with matter (a super-group U(N|N) gauge theory) on a Calabi-Ya…
Real topological string amplitudes
K. S. Narain, N. Piazzalunga, A. Tanzini
We discuss the physical superstring correlation functions in type I theory (or equivalently type II with orientifold) that compute real topological string amplitudes. We consider t…
Towards a gauge theory interpretation of the real topological string
Hirotaka Hayashi, Nicolo Piazzalunga, Angel Uranga
We consider the real topological string on certain non-compact toric Calabi-Yau three-folds X, in its physical realization describing an orientifold of type IIA on X with an O4-pla…
M-theory interpretation of the real topological string
Nicolò Piazzalunga, Angel Uranga
We describe the type IIA physical realization of the unoriented topological string introduced by Walcher, describe its M-theory lift, and show that it allows to compute the open an…