\(\mathcal{N}=4\) instanton calculus in \(\Omega \) and R-R backgrounds

DOI10.1016/j.nuclphysb.2012.03.001zbMath1246.81134arXiv1111.6709OpenAlexW2345630092MaRDI QIDQ447344

Shin Sasaki, Takuya Saka, Hiroaki Nakajima, Katsushi Ito

Publication date: 3 September 2012

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.6709

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Yang-Mills and other gauge theories in quantum field theory (81T13) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21)

Related Items

BPS equations in \(\Omega\)-deformed \( \mathcal{N}=4 \) super Yang-Mills theory ⋮ Non-perturbative Nekrasov partition function from string theory ⋮ Torsion and supersymmetry in \(\Omega\)-background ⋮ Twisted \( \mathcal{N} = 4\) super Yang-Mills theory in \(\Omega\)-background

Cites Work

• Comments on worldsheet description of the Omega background
• Deformed topological partition function and Nekrasov backgrounds
• The calculus of many instantons
• Instanton partition functions and M-theory
• Topological quantum field theory
• Construction of instantons
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• Kodaira-Spencer theory of gravity and exact results for quantum string amplitudes
• Mass perturbations in twisted \(N=4\) supersymmetric gauge theories
• A strong coupling test of \(S\)-duality
• Non-commutative open string and D-brane
• Testing Seiberg-Witten theory to all orders in the instanton expansion
• Universal Teichmüller space in geometry and physics
• The other topological twisting of \(N=4\) Yang-Mills
• Topological amplitudes in string theory
• Integrating over Higgs branches
• Dirichlet Branes and Ramond-Ramond Charges