Generalized mirror symmetry and trace anomalies

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.

19 pages latex

References in corpus (14)

• Twenty Years of the Weyl Anomaly
• Dualisation of Dualities, I
• Entanglement entropy, conformal invariance and extrinsic geometry
• Dualisation of Dualities, II: Twisted self-duality of doubled fields and superdualities
• Moduli Corrections to Gravitational Couplings from String loops
• Dual Pairs of Type II String Compactification
• Magic Supergravities, N= 8 and Black Hole Composites
• d=4 Attractors, Effective Horizon Radius and Fake Supergravity
• On Mirror Symmetry for Manifolds of Exceptional Holonomy
• Quantum Equivalence of Massive Antisymmetric Tensor Field Models in Curved Space
• Twin Supergravities
• Generalised discrete torsion and mirror symmetry for G_2 manifolds
• Central Extension of Extended Supergravities in Diverse Dimensions
• Logarithmic correction to BH entropy as Noether charge

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