Modular invariance

In theoretical physics, modular invariance is the invariance under the group such as SL(2,Z) of large diffeomorphisms of the torus. The name comes from the classical name modular group of this group, as in modular form theory.

In string theory, modular invariance is an additional requirement for one-loop diagrams. This helps in getting rid of some global anomalies such as the gravitational anomalies.

Equivalently, in two-dimensional conformal field theory the torus partition function must be invariant under the modular group SL(2,Z).

This article does not cite any external source. HandWiki requires at least one external source. See citing external sources. Please help improve this article. Unsourced material may be removed in future. Find sources: "Modular invariance" – news · newspapers · books · scholar · JSTOR (2021) (Learn how and when to remove this template message)

0.00 (0 votes) Original source: https://en.wikipedia.org/wiki/Modular invariance. Read more