# Comments on worldsheet description of the Omega background

@article{Nakayama2011CommentsOW, title={Comments on worldsheet description of the Omega background}, author={Yu Nakayama and Hirosi Ooguri}, journal={Nuclear Physics}, year={2011}, volume={856}, pages={342-359} }

Nekrasovʼs partition function is defined on a flat bundle of R^4 over S^1 called the Omega background. When the fibration is self-dual, the partition function is known to be equal to the topological string partition function, which computes scattering amplitudes of self-dual gravitons and graviphotons in type II superstring compactified on a Calabi–Yau manifold. We propose a generalization of this correspondence when the fibration is not necessarily self-dual.

## 16 Citations

B-Model Approach to Instanton Counting

- Mathematics
- 2016

The instanton partition function of \(\mathcal{N}=2\) gauge theory in the general \(\Omega \)-background is, in a suitable analytic continuation, a solution of the holomorphic anomaly equation known…

A Review on Instanton Counting and W-Algebras

- Mathematics
- 2014

Basics of the instanton counting and its relation to W-algebras are reviewed, with an emphasis toward physics ideas. We discuss the case of \(\mathrm {U}(N)\) gauge group on \(\mathbb {R}^4\) to some…

Holomorphic Anomaly in Gauge Theory on ALE space

- Mathematics
- 2013

We consider four-dimensional Ω-deformed $${\mathcal{N} = 2}$$ supersymmetric SU(2) gauge theory on A1 space and its lift to five dimensions. We find that the partition functions can be reproduced via…

N = 2 higher-derivative couplings from strings

- Mathematics
- 2017

We consider the Calabi-Yau reduction of the Type IIA eight derivative one-loop stringy corrections focusing on the couplings of the four dimensional gravity multiplet with vector multiplets and a…

Pure N=2 Super Yang-Mills and Exact WKB

- Mathematics
- 2015

We apply exact WKB methods to the study of the partition function of pure N=2 epsilon_i-deformed gauge theory in four dimensions in the context of the 2d/4d correspondence. We study the partition…

Instanton-monopole correspondence from M-branes on $\mathbb S^1$ and little string theory

- Mathematics
- 2016

We study BPS excitations in M5-M2-brane configurations with a compact transverse direction, which are also relevant for type IIa and IIb little string theories. These configurations are dual to a…

Twistorial Topological Strings and a tt Geometry forN = 2 Theories in 4d

- Mathematics
- 2014

We define twistorial topological strings by considering tt* geometry of the 4d N=2 supersymmetric theories on the Nekrasov-Shatashvili half-Omega background, which leads to quantization of the…

Supersymmetric Field Theories and Isomonodromic Deformations

- Physics
- 2020

Doctor of Philosophy Supersymmetric Field Theories and Isomonodromic Deformations by Fabrizio DEL MONTE The topic of this thesis is the recently discovered correspondence between supersymmetric gauge…

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