The Gravitational Sector of 2d (0,2) F-theory Vacua

TL;DR

This paper investigates the gravitational aspects of 2D (0,2) F-theory vacua, analyzing moduli spectra, dualities, and anomaly cancellation to deepen understanding of their low-energy effective theories.

Contribution

It provides a detailed analysis of the moduli spectrum, duality relations, and anomaly cancellation in 2D (0,2) F-theory compactifications on Calabi-Yau fivefolds.

Findings

Massless moduli spectrum matches duality expectations.

F-theory spectrum is shown to be anomaly free.

Classical Chern-Simons terms match one-loop effective actions.

Abstract

F-theory compactifications on Calabi-Yau fivefolds give rise to two-dimensional N=(0,2) supersymmetric field theories coupled to gravity. We explore the dilaton supergravity defined by the moduli sector of such compactifications. The massless moduli spectrum is found by uplifting Type IIB compactifications on Calabi-Yau fourfolds. This spectrum matches expectations from duality with M-theory on the same elliptic fibration. The latter defines an N=2 Supersymmetric Quantum Mechanics related to the 2d (0,2) F-theory supergravity via circle reduction. Using our recent results on the gravitational anomalies of duality twisted D3-branes wrapping curves in Calabi-Yau fivefolds we show that the F-theory spectrum is anomaly free. We match the classical Chern-Simons terms of the M-theory Super Quantum Mechanics to one-loop contributions to the effective action by S^1 reduction of the dual F-theory.