Search
Now showing items 1-8 of 8
Counting Tensor Model Observables and Branched Covers of the 2-Sphere
(2014-02-04)
Lattice gauge theories of permutation groups with a simple topological action (henceforth permutation-TFTs) have recently found several applications in the combinatorics of quantum field theories (QFTs). They have been ...
Chiral Ring Generating Functions & Branches of Moduli Space
We consider the worldvolume theory of N D3-branes transverse to various non-compact Calabi-Yau spaces, and describe subtleties in the counting of chiral primary operators in such theories due to the presence of multiple ...
Interactions as intertwiners in 4D QFT
In a recent paper we showed that the correlators of free scalar field theory in four dimensions can be constructed from a two dimensional topological field theory based on so(4,2) equivariant maps (intertwiners). The free ...
Permutations and the combinatorics of gauge invariants for general N
Group algebras of permutations have proved highly useful in solving a number of problems in large N gauge theories. I review the use of permutations in classifying gauge invariants in one-matrix and multi-matrix models and ...
New Modular Hopf Algebras related to rational $k$ $\widehat {sl(2)}$
We show that the Hopf link invariants for an appropriate set of finite dimensional representations of $ U_q SL(2)$ are identical, up to overall normalisation, to the modular S matrix of Kac and Wakimoto for rational $k$ ...
Hidden classical symmetry in quantum spaces at roots of unity : From q-sphere to fuzzy sphere
We study relations between different kinds of non-commutative spheres which have appeared in the context of ADS/CFT correspondences recently, emphasizing the connections between spaces that have manifest quantum group ...
Stringy Spacetime Uncertainty as an Alternative to Inflation
In this paper we point out that the spacetime uncertainty relation proposed for string theory has strong cosmological implications that can solve the flatness problem and the horizon problem without the need of inflation. ...
From Matrix Models and quantum fields to Hurwitz space and the absolute Galois group
We show that correlators of the hermitian one-Matrix model with a general potential can be mapped to the counting of certain triples of permutations and hence to counting of holomorphic maps from world-sheet to sphere ...