Abstract
The Verlinde formula describes the dimensions of spaces of conformal blocks (cf. Sect. 9.3) of certain rational conformal field theories (cf. [Ver88]). With respect to a suitable mathematical interpretation, the Verlinde formula gives the dimensions of spaces of generalized theta functions (cf. Sect. 10.1). These dimensions and their polynomial behavior (cf. Theorem 10.6) are of special interest in mathematics. Prior to the appearance of the Verlinde formula, these dimensions were known for very specific cases only, e.g. for the classical theta functions (cf. Theorem 10.5).
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© 1997 Springer-Verlag Berlin Heidelberg
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(1997). Mathematical Aspects of the Verlinde Formula. In: A Mathematical Introduction to Conformal Field Theory. Lecture Notes in Physics Monographs, vol 43. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-70690-8_11
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DOI: https://doi.org/10.1007/978-3-540-70690-8_11
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-61753-2
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