# User:Riccardo Guida/Proposed/Verlinde algebra

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Current deadline: 27 August 2010 Prof. Erik Peter Verlinde accepted the invitation on 4 January 2009.

The **Verlinde Algebra** summarizes the selection rules for the operator product expansion in conformal field theories.

## Contents |

## The Verlinde Algebra and the Verlinde Formula

The Verlinde Algebra is directly related to the ** Verlinde Formula **

### The Verlinde Algebra

\[\tag{1} \phi_i\times\phi_j=\sum_k N_{ij}{}^k\phi_k \]

### The Verlinde Formula

\[\tag{2} N_{ij}{}^k= \sum_n {S_{in}S_{jn} S^{kn}\over S_{0n}} \]

Refer to figures and equations as Figure 1 and Eq (Figure 1).

## Section d

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