We study the problem of four-form flux quantization in F-theory compactifications. We prove that for smooth, elliptically fibered Calabi-Yau fourfolds with aWeierstrass representation, the flux is always integrally quantized. This implies that any possible halfintegral quantization effects must come from 7-branes, i.e. from singularities of the fourfold. We subsequently analyze the quantization rule on explicit fourfolds with Sp(N) singularities, and connect our findings via Sen's limit to IIB string theory. Via direct computations we find that the four-form is half-integrally quantized whenever the corresponding 7-brane stacks wrap non-spin complex surfaces, in accordance with the perturbative Freed-Witten anomaly. Our calculations on the fourfolds are done via toric techniques, whereas in IIB we rely on Sen's tachyon condensation picture to treat bound states of branes. Finally, we give general formulae for the curvature- and flux-induced D3 tadpoles for general fourfolds with Sp(N) singularities.

Collinucci, A., Savelli, R. (2012). On flux quantization in F-theory. JOURNAL OF HIGH ENERGY PHYSICS(2) [10.1007/JHEP02(2012)015].

On flux quantization in F-theory

Savelli R.
2012-01-01

Abstract

We study the problem of four-form flux quantization in F-theory compactifications. We prove that for smooth, elliptically fibered Calabi-Yau fourfolds with aWeierstrass representation, the flux is always integrally quantized. This implies that any possible halfintegral quantization effects must come from 7-branes, i.e. from singularities of the fourfold. We subsequently analyze the quantization rule on explicit fourfolds with Sp(N) singularities, and connect our findings via Sen's limit to IIB string theory. Via direct computations we find that the four-form is half-integrally quantized whenever the corresponding 7-brane stacks wrap non-spin complex surfaces, in accordance with the perturbative Freed-Witten anomaly. Our calculations on the fourfolds are done via toric techniques, whereas in IIB we rely on Sen's tachyon condensation picture to treat bound states of branes. Finally, we give general formulae for the curvature- and flux-induced D3 tadpoles for general fourfolds with Sp(N) singularities.
2012
Pubblicato
Rilevanza internazionale
Articolo
Esperti anonimi
Settore FIS/02 - FISICA TEORICA, MODELLI E METODI MATEMATICI
English
F-theory
M-theory
Superstring vacua
Tachyon condensation
Collinucci, A., Savelli, R. (2012). On flux quantization in F-theory. JOURNAL OF HIGH ENERGY PHYSICS(2) [10.1007/JHEP02(2012)015].
Collinucci, A; Savelli, R
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/314914
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