Quantum Symmetries and Stringy Instantons

Details Quantum Symmetries and Stringy Instantons Quantum Symmetries and Stringy Instantons

1994-06-14

arxiv.org/abs/hep-th/9406091v1

Phys.Lett.B336:368-375,1994

Physics

High Energy Physics

High Energy Physics - Theory

14pp, harvmac, PUPT--1464

Scientific paper

10.1016/0370-2693(94)90547-9

The quantum symmetry of many \LG\ orbifolds appears to be broken by Yang-Mills instantons. However, isolated Yang-Mills instantons are not solutions of string theory: They must be accompanied by gauge anti-instantons, gravitational instantons, or topologically non-trivial configurations of the $H$ field. We check that the configurations permitted in string theory do in fact preserve the quantum symmetry, as a result of non-trivial cancellations between symmetry breaking effects due to the various types of instantons. These cancellations indicate new constraints on \LG\ orbifold spectra and require that the dilaton modulus mix with the twisted moduli in some \LG\ compactifications. We point out that one can find similar constraints at all fixed points of the modular group of the moduli space of vacua.

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