32 papers found.

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**Yuji** **Tachikawa**
0
1
Subject Index
0
Department of Physics, Faculty of Science, University of Tokyo
, Bunkyo,
Tokyo 113-0033, Japan
1
Kavli Institute for the Physics and Mathematics of the Universe

We study 4D \( \mathcal{N} \) = 2 superconformal theories that arise from the compactification of 6D \( \mathcal{N} \) = (2, 0) theories of type A 2N −1 on a Riemann surface C, in the presence of punctures twisted by a ℤ2 outer automorphism. We describe how to do a complete classification of these SCFTs in terms of three-punctured spheres and cylinders, which we do explicitly for...

We study the T 2 compactification of a class of 6d \( \mathcal{N}=\left(1,\;0\right) \) theories that is Higgsable to \( \mathcal{N}=\left(2,\;0\right) \) theories. We show that the resulting 4d \( \mathcal{N}=2 \) theory at the origin of the Coulomb branch and the parameter space is generically given by two superconformal matter sectors coupled by an infrared-free gauge...

The T N theory is a non-Lagrangian theory with SU(N)3 flavor symmetry. We argue that when mass terms are given so that two of SU(N)’s are both broken to SU(N −1)×U(1), it becomes T N −1 theory coupled to an SU(N −1) vector multiplet together with N fundamentals. This implies that when two of SU(N)’s are both broken to U(1) N −1, the theory becomes a linear quiver. We perform...

We show that the \( \mathcal{N}=\left(1,0\right) \) superconformal theory on a single M5 brane on the ALE space of type G = A n , D n , E n , when compactified on T 2, becomes a class S theory of type G on a sphere with two full punctures and a simple puncture. We study this relation from various viewpoints. Along the way, we develop a new method to study the 4d SCFT arising from...

We determine the anomaly polynomial of the E-string theory and its higher-rank generalizations, that is, the 6d \( \mathcal{N} \) = (1, 0) superconformal theories on the worldvolume of one or multiple M5-branes embedded within the end-of-the-world brane with E 8 symmetry.

We describe a method to determine the anomaly polynomials of general 6D $\mathcal {N}={(2,0)}$ and $\mathcal {N}={(1,0)}$ superconformal field theories (SCFTs), in terms of the anomaly matching on their tensor branches. This method is almost purely field theoretical, and can be applied to all known 6D SCFTs. We demonstrate our method in many concrete examples, including $\mathcal...

Prog. Theor. Exp. Phys.
On 6d (2, 0) theory compactified N = on a Riemann surface with finite area
Davide Gaiotto 2
Gregory W. Moore 1
**Yuji** **Tachikawa** 0
Subject Index
0 IPMU, University of Tokyo

**Yuji** **Tachikawa**
0
0
Department of Physics, Faculty of Science, University of Tokyo
,
Tokyo 113-0033, Japan
Utilizing the techniques recently developed for N = 1 super Yang-Mills theories by Dijkgraaf

We study the asymptotic Virasoro symmetry which acts on the near-horizon region of extremal four-dimensional black hole solutions of gravity theories with higher-derivative corrections, following the recently proposed Kerr/CFT correspondence. We demonstrate that its central charge correctly reproduces the entropy formula of Iyer-Wald, once the boundary terms in the symplectic...

We analyze the structure of a particular higher derivative correction of five-dimensional ungauged and gauged supergravity with eight supercharges. Specifically, we determine all the purely bosonic terms which are connected by the supersymmetry transformation to the mixed gauge-gravitational Chern-Simons term, W ∧ tr R ∧ R. Our construction utilizes the superconformal formulation...

Recently, a duality between Liouville theory and four dimensional \( \mathcal{N} = 2 \) gauge theory has been uncovered by some of the authors. We consider the role of extended objects in gauge theory, surface operators and line operators, under this correspondence. We map such objects to specific operators in Liouville theory. We employ this connection to compute the expectation...