Topological G2 and Spin(7) strings at 1-loop from double complexes

Ashmore, Anthony; Coimbra, André; Strickland‐Constable, Charles; Svanes, Eirik Eik; Tennyson, David

doi:10.1007/jhep02(2022)089

Cited by 5 publications

(8 citation statements)

References 103 publications

(262 reference statements)

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“…Thus, if such terms are not corrected it has the potential to hold even when higher order corrections to the M-theory action are included. We also note that the corresponding superpotential for type-3 backgrounds, alongside its variations, could be used to compute 1-loop partition functions paralleling the recent work done in [46]. This would allow further comparisons between M-theory and Heterotic backgrounds.…”

Section: Discussionmentioning

confidence: 82%

M-theory moduli from exceptional complex structures

Smith

Waldram

2023

J. High Energ. Phys.

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We continue the analysis of the geometry of generic Minkowski $$ \mathcal{N} $$ N = 1, D = 4 flux compactifications in M-theory using exceptional generalised geometry, including the calculation of the infinitesimal moduli spaces. The backgrounds can be classified into two classes: type-0 and type-3. For type-0, we review how the moduli arise from standard de Rham cohomology classes. We also argue that, under reasonable assumptions, there are no appropriate sources to support compact flux backgrounds for this class and so the only solutions are in fact G2 geometries. For type-3 backgrounds, given a suitable $$ {\partial}^{\prime }{\overline{\partial}}^{\prime } $$ ∂ ′ ∂ ¯ ′ -lemma, we show that the moduli can be calculated from a cohomology based on an involutive sub-bundle of the complexified tangent space. Using a simple spectral sequence we prove quite generally that the presence of flux can only reduce the number of moduli compared with the fluxless case. We then use the formalism to calculate the moduli of heterotic M-theory and show they match those of the dual Hull-Strominger system as expected.

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Section: Discussionmentioning

confidence: 82%

M-theory moduli from exceptional complex structures

Smith

Waldram

2023

J. High Energ. Phys.

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“…This was based on the embedding of the Poisson differential d π into T ⊕ T * . There are other interesting differentials that can appear in these Courant algebroids [29] that are associated to topological theories on G 2 and Spin(7) manifolds. One can try to embed these differentials in the language of QP structures and perform the reduction to get new topological models associated to these special holonomy manifolds.…”

Section: Discussionmentioning

confidence: 99%

Brane wrapping, AKSZ sigma models, and QP manifolds

Arvanitakis¹,

Tennyson²

2023

Preprint

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We introduce a technique to realise brane wrapping and double dimensional reduction in the context of AKSZ topological sigma models and also in their target spaces, which are symplectic L n -algebroids (i.e. QP-manifolds). Our procedure involves a novel coisotropic reduction combined with an AKSZ transgression that realises degree-shifting; the reduced QP-manifold depends on topological data of the 'wrapped' cycle. We check our procedure against the known rules for fluxes under wrapping in the context of M-theory/type IIA duality, and we also find a new relation between Courant algebroids and Poisson manifolds.

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“…In particular, this holds if ∂ and D satisfy certain Kähler-like identities. If this is the case, then, in line with [12,71], we can define operators •∆ T and ∆ T • which are the restrictions of ∆ T to the first and second subspaces respectively in the decomposition (6.16). Moreover, since we have…”

Section: Jhep10(2023)130mentioning

confidence: 99%

A heterotic Kodaira-Spencer theory at one-loop

Ashmore,

Murgas Ibarra,

McNutt

et al. 2023

J. High Energ. Phys.

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We consider a heterotic version of six-dimensional Kodaira-Spencer gravity derived from the heterotic superpotential. We compute the one-loop partition function and find it can be expressed as a product of holomorphic Ray-Singer torsions. We discuss its topological properties and potential gauge and gravitational anomalies. We show these anomalies can be cancelled using Green-Schwarz-like counter-terms. We also discuss the dependence on the background geometry, and in particular the choice of hermitian metric needed for quantisation. Given suitable topological constraints, this dependence may again be cancelled by the addition of purely background-dependent counter-terms. We also explain how our methods provide the one-loop partition functions of a large class of more general holomorphic field theories in terms of holomorphic Ray-Singer torsions.

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Topological G2 and Spin(7) strings at 1-loop from double complexes

Cited by 5 publications

References 103 publications

M-theory moduli from exceptional complex structures

M-theory moduli from exceptional complex structures

Brane wrapping, AKSZ sigma models, and QP manifolds

A heterotic Kodaira-Spencer theory at one-loop

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