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33 papers found.
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Derivation of the Linearity Principle of Intriligator-Leigh-Seiberg

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

Supersymmetric Completion of an R2 Term in Five-Dimensional Supergravity

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...

Higher-Derivative Corrections to the Asymptotic Virasoro Symmetry of 4d Extremal Black Holes

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...

Loop and surface operators in \( \mathcal{N} = 2 \) gauge theory and Liouville modular geometry

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...

On 6d N = (2, 0) theory compactified on a Riemann surface with finite area

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

4d partition function on S1 × S3 and 2d Yang–Mills with nonzero area

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

Anomaly polynomial of general 6D SCFTs

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...

Anomaly polynomial of E-string theories

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.

Mass-deformed T N as a linear quiver

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...

6d \( \mathcal{N}=\left(1,0\right) \) theories on T 2 and class S theories. Part I

AbstractWe 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 T2, 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...

Gaiotto duality for the twisted A 2N −1 series

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...

On the 6d origin of discrete additional data of 4d gauge theories

Yuji Tachikawa 0 0 Department of Physics, Faculty of Science, University of Tokyo , Bunkyo-ku, Tokyo 133-0022 , Japan Institute for the Physics and Mathematics of the Universe, University of Tokyo

Moduli spaces of SO(8) instantons on smooth ALE spaces as Higgs branches of 4d \( \mathcal{N} \) = 2 supersymmetric theories

Yuji Tachikawa 0 0 Department of Physics, Faculty of Science, University of Tokyo , Bunkyo-ku, Tokyo 133-0022 , Japan Institute for the Physics and Mathematics of the Universe, University of Tokyo

On skein relations in class S theories

Tachikawa 3 Department of Physics, Faculty of Science Loop operators of a class S theory arise from networks on the corresponding Riemann surface, and their operator product expansions are given in terms of

6d \( \mathcal{N}=\left(1,\;0\right) \) theories on S 1 /T 2 and class S theories: part II

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...

Magnetic discrete gauge field in the confining vacua and the supersymmetric index

It has recently been argued that the confining vacua of Yang-Mills theory in the far infrared can have topological degrees of freedom given by magnetic \( {\mathbb{Z}}_q \) gauge field, both in the non-supersymmetric case and in the \( \mathcal{N}=1 \) supersymmetric case. In this short note we give another piece of evidence by computing and matching the supersymmetric index of...

Instanton operators and symmetry enhancement in 5D supersymmetric gauge theories

Supersymmetric gauge theories in five dimensions often exhibit less symmetry than the ultraviolet fixed points from which they flow. The fixed points might have larger flavor symmetry or they might even be secretly 6D theories on $S^{1}$. Here we provide a simple criterion when such symmetry enhancement in the ultraviolet should occur, by a direct study of the fermionic zero...

A review of the TN theory and its cousins

The $T_N$ theory is a four-dimensional $\mathcal {N} = 2$ superconformal field theory that has played a central role in the analysis of supersymmetric dualities in the last few years. The aim of this review is to collect known properties of the $T_N$ theory and its cousins in one place as a quick reference.

4d \( \mathcal{N}=1 \) from 6d \( \mathcal{N}=\left(1,0\right) \) on a torus with fluxes

Compactifying \( \mathcal{N}=\left(1,0\right) \) theories on a torus, with additional fluxes for global symmetries, we obtain \( \mathcal{N}=1 \) supersymmetric theories in four dimensions. It is shown that for many choices of flux these models are toric quiver gauge theories with singlet fields. In particular we compare the anomalies deduced from the description of the six...

S-folds and 4d \( \mathcal{N} \) = 3 superconformal field theories

S-folds are generalizations of orientifolds in type IIB string theory, such that the geometric identifications are accompanied by non-trivial S-duality transformations. They were recently used by García-Etxebarria and Regalado to provide the first construction of four dimensional \( \mathcal{N} \) =3 superconformal theories. In this note, we classify the different variants of...