Superstring partition functions and the characters of exceptional groups

Lüst, Dieter; Theisen, Stefan

doi:10.1016/0370-2693(89)90945-3

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Superstring partition functions and the characters of exceptional groups

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Theisen, Stefan
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Citation

Lüst, D., & Theisen, S. (1989). Superstring partition functions and the characters of exceptional groups. Physics Letters B, 227(3-4), 367-372. doi:10.1016/0370-2693(89)90945-3.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-5D1D-4

Abstract

We study the relation between the one-loop partition function of supersymmetric four-dimensional heterotic string theories and the level-one characters of exceptional groups. This is used to derive identities among θ-functions which show that the one-loop partition functions vanish identically. It is also shown that the exceptional groups provide the KaImage -Moody characters of the underlying conformal field theories.