32 papers found.

Use AND, OR, NOT, +word, -word, "long phrase", (parentheses) to fine-tune your search.

Use AND, OR, NOT, +word, -word, "long phrase", (parentheses) to fine-tune your search.

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...

**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 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 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...

String theory provides us with 8d supersymmetric gauge theory with gauge algebras \( \mathfrak{s}\mathfrak{u}(N),\mathfrak{s}\mathfrak{o}(2N),\mathfrak{s}\mathfrak{p}(N),{\mathfrak{e}}_6,{\mathfrak{e}}_7\kern0.5em \mathrm{and}\kern0.5em {\mathfrak{e}}_8 \), but no construction for \( \mathfrak{so}\left(2N+1\right) \), \( {\mathfrak{f}}_4 \) and \( {\mathfrak{g}}_2 \) is known. In...

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.

Abstract We perform a study of time reversal symmetry of abelian anyons \( \mathcal{A} \) in 2+1 dimensions, in the spin structure independent cases. We will find the importance of the group \( \mathcal{C} \) of time-reversal-symmetric anyons modulo anyons composed from an anyon and its time reversal. Possible choices of local Kramers degeneracy are given by quadratic refinements...

The anomaly polynomial of a theory can involve not only curvature two-forms of the flavor symmetry background but also two-forms on the space of coupling constants. As an example, we point out that there is a mixed anomaly between the R-symmetry and the topology of the space of exactly marginal couplings of class S theories. Using supersymmetry, we translate this anomaly to the K...

We point out that we can almost always determine by the anomaly matching the full anomaly polynomial of a supersymmetric theory in 2d, 4d or 6d if we assume that its Higgs branch is the one-instanton moduli space of some group G. This method not only provides by far the simplest method to compute the central charges of known theories of this class, e.g. 4d E 6,7,8 theories of...

We obtain the anomaly polynomial of strings of general 6d \( \mathcal{N}=\left(1,0\right) \) theories in terms of anomaly inflow. Our computation sheds some light on the reason why the simplest 6d \( \mathcal{N}=\left(1,0\right) \) theory has E 8 flavor symmetry, and also partially explains a curious numerology in F-theory.

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...

Abstract We point out that the USp symmetry associated to a full twisted puncture of a class S theory of type Aeven has the global anomaly associated to π4(USp) = ℤ2. We discuss manifestations of this fact in the context of the superconformal field theory R2,2N introduced by Chacaltana, Distler and Trimm. For example, we find that this theory can be thought of as a natural...

**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 consider the 6d superconformal field theory realized on M5-branes probing the E 8 end-of-the-world brane on the deformed and resolved ℂ 2/ℤ k singularity. We give an explicit algorithm which determines, for arbitrary holonomy at infinity, the 6d quiver gauge theory on the tensor branch, the type-A class S description of the T 2 compactification, and the star-shaped quiver...

We revisit the duality between ALE singularities in M-theory and 7-branes on a circle in F-theory. We see that a frozen M-theory singularity maps to a circle compactification involving a rotation of the plane transverse to the 7-brane, showing an interesting correspondence between commuting triples in simply-laced groups and Kodaira’s classification of singular elliptic...

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 effects of strongly coupled gauge interactions on the properties of the topological phases of matter. In particular, we discuss fermionic systems with three spatial dimensions, protected by time-reversal symmetry. We first derive a sufficient condition for the introduction of a dynamical Yang–Mills field to preserve the topological phase of matter, and then show how...

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...

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...