1994/06/14 by Jacques Distler, Shamit Kachru
Physics and Astronomy · Social Sciences · #Black Holes and Theoretical Physics #Dilaton #Homogeneous space #Instanton #International Science and Diplomacy #Moduli #Moduli space #Noncommutative and Quantum Gravity Theories #Orbifold #Quantum #String (physics) #String theory #Symmetry (geometry) #hep-th
paper · pdf · doi:10.1016/0370-2693(94)90547-9
published as Phys.Lett.B336:368-375,1994 · 14pp, harvmac, PUPT--1464
arxiv created 1994/06/14 · openalex publication_date 1994/09/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.