Spin-2 spectrum of six-dimensional field theories

A class of six-dimensional conformal field theories

We describe a class of six-dimensional conformal field theories that have some properties in common with and possibly are related to a subsector of the tensionless string theories. The latter theories can for example give rise to four-dimensional N = 4 superconformal Yang-Mills theories upon compactification on a two-torus. Just like the tensionless string theories, our theories have an ADEclas...

Six-Dimensional String Theories

We consider N = 1, D = 4 superconformal U(N) Yang-Mills theories dual to AdS5 × S/Zp × Zq orbifolds. We construct the dilatation operator of this superconformal gauge theory at one-loop planar level. We demonstrate that a specific sector of this dilatation operator can be thought of as the transfer matrix for a two-dimensional statistical mechanical system, related to an integrable SU(3) antife...

On 2-dimensional Topological Field Theories

Spin Topological Quantum Field Theories

Starting from the quantum group Uq(sl(2, C)), we construct operator invariants of 3-cobordisms with spin structure, satisfying the requirements of a topological quantum field theory and refining the Reshetikhin–Turaev and Turaev–Viro models. We establish the relationship between these two refined models.

Integrable Systems and Classification of 2 - Dimensional Topological Field Theories

In this paper we consider from the point of view of differential geometry and of the theory of integrable systems the so-called WDVV equations as defining relations of 2-dimensional topological field theory. A complete classification of massive topological con-formal field theories (TCFT) is obtained in terms of monodromy data of an auxillary linear operator with rational coefficients. Procedur...