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. 
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16 Citations
Background Citations
9
Methods Citations
1

16 Citations

B-Model Approach to Instanton Counting
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…
Probing the moduli dependence of refined topological amplitudes
A Review on Instanton Counting and W-Algebras
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…
Non-Perturbative Nekrasov Partition Function from String Theory
Holomorphic Anomaly in Gauge Theory on ALE space
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
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
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
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
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
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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References

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