On the moduli space curvature at infinity

2023/11/14 by Fernando Marchesano, Luca Melotti, Marchesano, Fernando +3 · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #Cosmology and Gravitation Theories

paper · pdf · doi:10.48550/arxiv.2311.07979

Abstract

We analyse the scalar curvature of the vector multiplet moduli space M^{\rm VM}_X of type IIA string theory compactified on a Calabi--Yau manifold X. While the volume of M^{\rm VM}_X is known to be finite, cases have been found where the scalar curvature diverges positively along trajectories of infinite distance. We classify the asymptotic behaviour of the scalar curvature for all large volume limits within M^{\rm VM}_X, for any choice of X, and provide the source of the divergence both in geometric and physical terms. Geometrically, there are effective divisors whose volumes do not vary along the limit. Physically, the EFT subsector associated to such divisors is decoupled from gravity along the limit, and defines a rigid N=2 field theory with a non-vanishing moduli space curvature R_{\rm rigid}. We propose that the relation between scalar curvature divergences and field theories that can be decoupled from gravity is a common trait of moduli spaces compatible with quantum gravity.

Cited by

• K-Points and Type IIB/Heterotic Duality with NS5-Branes
• Physics and Geometry of Complex Structure Limits in Type IIB Calabi-Yau Compactifications

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