2005
DOI: 10.1016/j.nuclphysb.2005.08.040
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A stringy test of flux-induced isometry gauging

Abstract: Supergravity analysis suggests that the effect of fluxes in string theory compactifications is to gauge isometries of the scalar manifold. However, isometries are generically broken by brane instanton effects. Here we demonstrate how fluxes protect exactly those isometries from quantum corrections which are gauged according to the classical supergravity analysis. We also argue that all other isometries are generically broken.

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Cited by 38 publications
(52 citation statements)
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“…Namely, the fluxes imply a gauging of certain isometries in the 4d effective theory, which must therefore not be violated by the non-perturbative effects. This is a generalization of the analysis in [19], and directly related to the Freed-Witten consistency conditions on brane wrappings in the presence of fluxes. In fact this issue had not appeared in our previous examples with 3-form fluxes because the pullback of the RR 3-form fluxes on the D3-brane 4-cycle vanished, hence satisfying the Freed-Witten consistency conditions (in fact this is generic for 4-cycles and 3-form fluxes on CY compactifications).…”
Section: Jhep01(2009)048mentioning
confidence: 79%
See 1 more Smart Citation
“…Namely, the fluxes imply a gauging of certain isometries in the 4d effective theory, which must therefore not be violated by the non-perturbative effects. This is a generalization of the analysis in [19], and directly related to the Freed-Witten consistency conditions on brane wrappings in the presence of fluxes. In fact this issue had not appeared in our previous examples with 3-form fluxes because the pullback of the RR 3-form fluxes on the D3-brane 4-cycle vanished, hence satisfying the Freed-Witten consistency conditions (in fact this is generic for 4-cycles and 3-form fluxes on CY compactifications).…”
Section: Jhep01(2009)048mentioning
confidence: 79%
“…A drastic example is that some D-brane instantons of the underlying model are not compatible with the flux, due to Freed-Witten anomalies [18], and are therefore absent in the flux compactification. This effect has been discussed in [19], and we will not focus on it (although it will appear in some of our examples, see section 4.4). A second kind of effect is that fluxes can lift some of the fermion zero modes of D-brane instantons, therefore modifying the kind of 4d effective interaction they produce.…”
Section: Jhep01(2009)048mentioning
confidence: 99%
“…the F-term axion monodromy inflation models [41], see also [42,44]), for which our analysis does not apply. 4 Actually, for axions made massive by fluxes, the corresponding instantons are absent due to FreedWitten consistency conditions [83]; but these are precisely the axions which we have assumed have been integrated out in our effective theories. 5 The fractionalization of instantons in an SU(N ) gauge theory is manifest in the F-theory lift, in which the elliptic fibration over N D7-branes pinches off into N component 2-cycles, each of which can be wrapped by an instanton (described as an M5-brane on the 2-cycle of the elliptic fiber fibered over the base 4-cycle).…”
Section: Jhep08(2015)032mentioning
confidence: 99%
“…For this, a sufficient condition is that the instanton is rigid and has no other chiral or vector-like zero modes from E3-D7 intersections. Furthermore, one also needs to ensure that the instantons are free of Freed-Witten anomalies [65].…”
mentioning
confidence: 99%