English

Generalized mirror symmetry and trace anomalies

High Energy Physics - Theory 2011-03-03 v1

Abstract

We consider compactification of M-theory on X7 with betti numbers (b_0, b_1, b_2, b_3, b_3, b_2, b_1, b_0) and define a generalized mirror symmetry (b_0, b_1, b_2, b_3) goes to (b_0, b_1, b_2 -rho/2, b_3+rho/2)$ under which rho = 7b_0-5b_1+3b_2 -b_3 changes sign. Generalized self-mirror theories with rho=0 have massless sectors with vanishing trace anomaly (before dualization). Examples include pure supergravity with N \geq 4 and supergravity plus matter with N \leq 4.

Cite

@article{arxiv.1009.4439,
  title  = {Generalized mirror symmetry and trace anomalies},
  author = {M. J. Duff and S. Ferrara},
  journal= {arXiv preprint arXiv:1009.4439},
  year   = {2011}
}

Comments

19 pages latex

R2 v1 2026-06-21T16:17:45.153Z