# Fusion Residues

@inproceedings{Intriligator1991FusionR, title={Fusion Residues}, author={Kenneth Intriligator}, year={1991} }

We discuss when and how the Verlinde dimensions of a rational conformal field theory can be expressed as correlation functions in a topological LG theory. It is seen that a necessary condition is that the RCFT fusion rules must exhibit an extra symmetry. We consider two particular perturbations of the Grassmannian superpotentials. The topological LG residues in one perturbation, introduced by Gepner, are shown to be a twisted version of the SU (N) k Verlinde dimensions. The residues in the…

## 74 Citations

Fusion potentials for Gk and handle squashing

- Physics
- 1991

Abstract Using Chern-Simons gauge theory, we show that the fusion ring of the conformal field theory Gk (G any Lie algebra) is isomorphic to P[u]/(▿V) where (▿V) is the ideal generated by conditions…

And Handle Squashing*

- 1991

Using Chern–Simons gauge theory, we show that the fusion ring of the conformal field theory Gk (G any Lie algebra) is isomorphic to P [u] (∇V ) where V is a polynomial in u and (∇V ) is the ideal…

Topological matter, integrable models and fusion rings

- Physics
- 1992

Abstract We show how topological G k /G k models can be embedded into the topological matter models that are obtained by perturbing the twisted N = 2 supersymmetric, hermitian symmetric, coset…

Issues in topological gauge theory

- Physics
- 1998

We discuss topological theories, arising from the general N = 2 twisted gauge theories. We initiate a program of their study in the Gromov-Witten paradigm. We re-examine the low-energy effective…

On classification ofN=2 supersymmetric theories

- Mathematics
- 1993

We find a relation between the spectrum of solitons of massiveN=2 quantum field theories ind=2 and the scaling dimensions of chiral fields at the conformal point. The condition that the scaling…

The geometry of gauged linear sigma model correlation functions

- Physics, MathematicsNuclear Physics B
- 2018

Abstract Applying advances in exact computations of supersymmetric gauge theories, we study the structure of correlation functions in two-dimensional N = ( 2 , 2 ) Abelian and non-Abelian gauge…

Boundary rings and /N=2 coset models

- Physics
- 2000

Abstract We investigate boundary states of N =2 coset models based on Grassmannians Gr(n,n+k), and find that the underlying intersection geometry is given by the fusion ring of U(n). This is…

Non-scale-invariant topological Landau-Ginzburg models

- Physics
- 1995

Abstract The Landau-Ginzburg formulation of two-dimensional topological sigma models on the target space with positive first Chern class is considered. The effective Landau-Ginzburg superpotential…

TOPOLOGICAL LANDAU-GINZBURG MATTER FROM SP(N)K FUSION RINGS

- Physics
- 1992

We find and analyze the Landau-Ginzburg potentials whose critical points determine chiral rings which are exactly the fusion rings of SP(N)K WZW models. The quasihomogeneous part of the potential…

Generalized Drinfel'd-Sokolov hierarchies, quantum rings, and W-gravity

- Physics
- 1995

Abstract We investigate the algebraic structure of integrable hierarchies that, we propose, underlie models of W-gravity coupled to matter. More precisely, we concentrate on the dispersionless limit…

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