BPS States in the Duality Web of the Omega deformation

Abstract

In this note, we study different limits of an Omega-deformed (2,0) six-dimensional gauge theory realized in a M-theory fluxtrap background. Via a chain of dualities, we connect the Omega-deformed SYM to a new four-dimensional gauge theory which we refer to as the reciprocal gauge theory. This theory has several properties in common with Liouville field theory, such as its gauge coupling b^2 =ε_2 / ε_1, and its behavior under S-duality. Finally, we realize the BPS states on the SYM side of the AGT correspondence and follow them along the chain of dualities. In the fluxtrap frame, we are dealing with two distinct types of states localized in different radial positions, while in the reciprocal frame, we find single states carrying both charges localized in one place which appear to be perturbatively stable. Our microscopic picture of the small-b limit exhibits semiclassically BPS bound states, which are not visible at the level of the partition function.

20 pages, 2 figures. Minor corrections, published in JHEP

References in corpus (8)

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• Instanton calculus in R-R background and the topological string
• The Omega Deformation From String and M-Theory
• Relating Gauge Theories via Gauge/Bethe Correspondence
• Deformed Seiberg-Witten Curves for ADE Quivers
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Cited by in corpus (9)

• M-strings, Elliptic Genera and N=4 String Amplitudes
• Alpha- and Omega-Deformations from fluxes in M-Theory
• Exact results in N=2 gauge theories
• BPS states in the Omega-background and torus knots
• Twisted N=4 Super Yang-Mills Theory in Omega-background
• Chiral trace relations in $\Omega$-deformed $\mathcal{N}=2$ theories
• Exact partition functions for deformed $\mathcal{N}=2$ theories with $N_f=4$ flavours
• Q-balls of Quasi-particles in a (2,0)-theory model of the Fractional Quantum Hall Effect
• BPS Equations in Omega-deformed N=4 Super Yang-Mills Theory