KK-monopoles and G-structures in M-theory/type IIA reductions

Abstract

We argue that M-theory/massive IIA backgrounds including KK-monopoles are suitably described in the language of G-structures and their intrinsic torsion. To this end, we study classes of minimal supergravity models that admit an interpretation as twisted reductions in which the twist parameters are not restricted to satisfy the Jacobi constraints $\omega \omega =0$ required by an ordinary Scherk-Schwarz reduction. We first derive the correspondence between four-dimensional data and torsion classes of the internal space and, then, check the one-to-one correspondence between higher-dimensional and four-dimensional equations of motion. Remarkably, the whole construction holds regardless of the Jacobi constraints, thus shedding light upon the string/M-theory interpretation of (smeared) KK-monopoles.

38 pages, 1 figure, 1 table; v2: refs added, published version

References in corpus (9)

• The effective theory of type IIA AdS4 compactifications on nilmanifolds and cosets
• On the Cosmology of Type IIA Compactifications on SU(3)-structure Manifolds
• Charting the landscape of N=4 flux compactifications
• Type IIA AdS4 compactifications on cosets, interpolations and domain walls
• Type-IIA flux compactifications and N=4 gauged supergravities
• A second look at N=1 supersymmetric AdS_4 vacua of type IIA supergravity
• M-theory on seven-dimensional manifolds with SU(3) structure
• Beyond Twisted Tori
• A second look at gauged supergravities from fluxes in M-theory

Cited by in corpus (5)

• No-scale and scale-separated flux vacua from IIA on G2 orientifolds
• Twisted Cohomotopy implies M-theory anomaly cancellation on 8-manifolds
• Three-dimensional flux vacua from IIB on co-calibrated G2 orientifolds
• Twisted Cohomotopy implies M5-brane anomaly cancellation
• A swamp of non-SUSY vacua