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8 papers found.
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4d \( \mathcal{N}=3 \) indices via discrete gauging

Abstract A class of 4d \( \mathcal{N}=3 \) SCFTs can be obtained from gauging a discrete subgroup of the global symmetry group of \( \mathcal{N}=4 \) Super Yang-Mills theory. This discrete subgroup contains elements of both the SU(4) R-symmetry group and the SL(2, ℤ) S-duality group of \( \mathcal{N}=4 \) SYM. We give a prescription for how to perform the discrete gauging at the...

2D CFT blocks for the 4D class \( {\mathcal{S}}_k \) theories

This is the first in a series of papers on the search for the 2D CFT description of a large class of 4D \( \mathcal{N}=1 \) gauge theories. Here, we identify the 2D CFT symmetry algebra and its representations, namely the conformal blocks of the Virasoro/W-algebra, that underlie the 2D theory and reproduce the Seiberg-Witten curves of the \( \mathcal{N}=1 \) gauge theories. We...

Spectral curves of \( \mathcal{N} \) = 1 theories of class \( {\mathcal{S}}_k \)

We study the Coulomb branch of class \( {\mathcal{S}}_k \) \( \mathcal{N} \) = 1 SCFTs by constructing and analyzing their spectral curves.

Exact Bremsstrahlung and effective couplings

We calculate supersymmetric Wilson loops on the ellipsoid for a large class of \( \mathcal{N} \) = 2 SCFT using the localization formula of Hama and Hosomichi. From them we extract the radiation emitted by an accelerating heavy probe quark as well as the entanglement entropy following the recent works of Lewkowycz-Maldacena and Fiol-Gerchkovitz-Komargodski. Comparing our results...

Toda 3-point functions from topological strings II

In [1] we proposed a formula for the 3-point structure constants of generic primary fields in the Toda field theory, derived using topological strings and the AGT-W correspondence from the partition functions of the non-Lagrangian T N theories on S 4. In this article, we obtain from it the well-known formula by Fateev and Litvinov and show that the degeneration on a first level...

Toda 3-point functions from topological strings

Group 4 Physics Division, National Technical University of Athens 5 and Elli Pomoni 6 Open Access , c The Authors 7 15780 Zografou Campus , Athens , Greece We consider the long-standing problem of

Fiber-base duality and global symmetry enhancement

Abstract We show that the 5D Nekrasov partition functions enjoy the enhanced global symmetry of the UV fixed point. The fiber-base duality is responsible for the global symmetry enhancement. For SU(2) with N f ≤ 7 flavors the fiber-base symmetry together with the manifest flavor SO(2N f ) symmetry generate the \( {\mathrm{E}}_{N_{f+1}} \) global symmetry, while in the higher rank...

Non-Lagrangian theories from brane junctions

In this article we use 5-brane junctions to study the 5D T N SCFTs corresponding to the 5D \( \mathcal{N} \) = 1 uplift of the 4D \( \mathcal{N} \) = 2 strongly coupled gauge theories, which are obtained by compactifying N M5 branes on a sphere with three full punctures. Even though these theories have no Lagrangian description, by using the 5-brane junctions proposed by Benini...