String theory of the Omega deformation

Abstract

In this article, we construct a supersymmetric real mass deformation for the adjoint chiral multiplets in the gauge theory describing the dynamics of a stack of D2-branes in type II string theory. We do so by placing the D2-branes into the T-dual of a supersymmetric NS fluxbrane background. We furthermore note that this background is the string theoretic realization of an Omega-deformation of flat space in the directions transverse to the branes where the deformation parameters satisfy ε_1 = - ε_2. This Ω-deformation therefore serves to give supersymmetric real masses to the chiral multiplets of the 3D gauge theory. To illustrate the physical effect of the real mass term, we derive BPS-saturated classical solutions for the branes rotating in this background. Finally, we reproduce all the same structure in the presence of NS fivebranes and comment on the relationship to the gauge theory/spin-chain correspondence of Nekrasov and Shatashvili.

36 pages. References added, brane construction clarified, edited for style

References in corpus (6)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• The Omega Deformation, Branes, Integrability, and Liouville Theory
• Instanton calculus in R-R background and the topological string
• Worldsheet CFTs for Flat Monodrofolds
• Relating Gauge Theories via Gauge/Bethe Correspondence
• The Gauge-Bethe Correspondence and Geometric Representation Theory

Cited by in corpus (61)

• The Omega deformed B-model for rigid N=2 theories
• IIB flux non-commutativity and the global structure of field theories
• Comments on N=(2,2) Supersymmetry on Two-Manifolds
• The Omega Deformation From String and M-Theory
• Universal correlation functions in rank 1 SCFTs
• M-strings, Elliptic Genera and N=4 String Amplitudes
• Modular anomaly equation, heat kernel and S-duality in N=2 theories
• Worldsheet Realization of the Refined Topological String
• Gauge/Liouville Triality
• Classical Yang-Baxter Equation from Supergravity
• Generalized type IIB supergravity equations and non-Abelian classical r-matrices
• Instanton-Monopole Correspondence from M-Branes on ${\mathbb{S}}^1$ and Little String Theory
• Non-Perturbative Nekrasov Partition Function from String Theory
• Deformed Seiberg-Witten Curves for ADE Quivers
• Self-Duality and Self-Similarity of Little String Orbifolds
• Modular anomaly equations in N=2* theories and their large-N limit
• General Omega Deformations from Closed String Backgrounds
• BPS States in Omega Background and Integrability
• Deformed supersymmetric gauge theories from the fluxtrap background
• A 5d/3d duality from relativistic integrable system
• Superspin chains from superstring theory
• Monopole Quivers and new 3D N=2 dualities
• Large N limit of beta-ensembles and deformed Seiberg-Witten relations
• Integrable Superstrings on the Squashed Three-sphere
• Alpha- and Omega-Deformations from fluxes in M-Theory
• Bands and gaps in Nekrasov partition function
• Yang-Baxter deformations and generalized supergravity -- A short summary
• Non-perturbative studies of N=2 conformal quiver gauge theories
• 't Hooft Defects and Wall Crossing in SQM
• Wilson-'t Hooft lines as transfer matrices
• $\mathcal{N}=2^{\star }$ from Topological Amplitudes in String Theory
• Deformed BPS Monopole in Omega-background
• Omega-Deformed Seiberg-Witten Effective Action from the M5-brane
• Probing the Moduli Dependence of Refined Topological Amplitudes
• On the large $\Omega$-deformations in the Nekrasov-Shatashvili limit of $\mathcal{N}=2^{\ast }$ SYM
• Twisted holography of defect fusions
• BPS States in the Duality Web of the Omega deformation
• Twisted Masses and Enhanced Symmetries: the A&D Series
• Toward the Pole
• The Holographic Dual of the $\Omega$-background
• Killing spinors from classical r-matrices
• Non-integrability of the $\Omega$-deformation
• Shifted quantum groups and matter multiplets in supersymmetric gauge theories
• Twisted N=4 Super Yang-Mills Theory in Omega-background
• Chiral trace relations in $\Omega$-deformed $\mathcal{N}=2$ theories
• Embedding Integrable Superspin Chain in String Theory
• SUSY and the bi-vector
• Exact partition functions for deformed $\mathcal{N}=2$ theories with $N_f=4$ flavours
• Topological AdS/CFT and the $\Omega$ deformation
• Engineering 3D $\mathcal{N}=2$ theories using the quantum affine $\mathfrak{sl}(2)$ algebra
• Gravity Dual of Two-Dimensional $\mathcal{N}=(2,2{)}^{\ast }$ Supersymmetric Yang-Mills Theory and Integrable Models
• Instanton Corrections for m and Omega
• Solution of quantum integrable systems from quiver gauge theories
• Quantum deformation of cubic string field theory
• Exponential Networks for Linear Partitions
• Extended Gauge Theory Deformations From~Flux~Backgrounds
• The String Geometry Behind Topological Amplitudes
• Refined Topological Amplitudes from the $\Omega$-Background in String Theory
• The braneology of 3D dualities
• A stringy perspective on the quantum integrable model/gauge correspondence
• BPS Equations in Omega-deformed N=4 Super Yang-Mills Theory