A domain wall in twisted M-theory

Oh, Jihwan; Zhou, Yehao

doi:10.48550/arxiv.2105.09537

Cited by 4 publications

(4 citation statements)

References 47 publications

(137 reference statements)

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“…We hope that a further twist of the one considered in this paper can be used to derive twisted M-theory in the Ω-background [5] following [53]. This could provide a physical origin for the applications in [54,55] by coupling a twisted M5-brane [47] to twisted M-theory. Finally, we hope that twisted M-theory can shed new light on topological Mtheory [56][57][58][59][60], which is believed to unify the Kähler [61] and Kodaira-Spencer theories of topological gravity.…”

Section: Discussionmentioning

confidence: 84%

Maximally twisted eleven-dimensional supergravity

Eager¹,

Hahner²

2021

Preprint

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We perform the maximal twist of eleven-dimensional supergravity. This twist is partially topological and exists on manifolds of G 2 ×SU (2) holonomy. Our derivation starts with an explicit description of the Batalin-Vilkovisky complex associated to the three-form multiplet in the pure spinor superfield formalism. We then determine the L ∞ module structure of the supersymmetry algebra on the component fields. We twist the theory by modifying the differential of the Batalin-Vilkovisky complex to incorporate the action of a scalar supercharge. We find that the resulting free twisted theory is given by the tensor product of the de Rham and Dolbeault complexes of the respective G 2 and SU (2) holonomy manifolds as conjectured by Costello.

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Section: Discussionmentioning

confidence: 84%

Maximally twisted eleven-dimensional supergravity

Eager¹,

Hahner²

2021

Preprint

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“…We hope that a further twist of the one considered in this paper can be used to derive twisted M-theory in the -background [5] following [56]. This could provide a physical origin for the applications in [57,58] by coupling a twisted M5-brane [50] to twisted M-theory. Finally, we hope that twisted M-theory can shed new light on topological Mtheory [59][60][61][62][63], which is believed to unify the Kähler [64] and Kodaira-Spencer theories of topological gravity.…”

Section: Discussionmentioning

confidence: 84%

Maximally Twisted Eleven-Dimensional Supergravity

Eager¹,

Hahner

2022

Commun. Math. Phys.

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We perform the maximal twist of eleven-dimensional supergravity. This twist is partially topological and exists on manifolds of $$G_2 \times SU(2)$$ G 2 × S U ( 2 ) holonomy. Our derivation starts with an explicit description of the Batalin–Vilkovisky complex associated to the three-form multiplet in the pure spinor superfield formalism. We then determine the $$L_\infty $$ L ∞ module structure of the supersymmetry algebra on the component fields. We twist the theory by modifying the differential of the Batalin–Vilkovisky complex to incorporate the action of a scalar supercharge. We find that the resulting free twisted theory is given by the tensor product of the de Rham and Dolbeault complexes of the respective $$G_2$$ G 2 and SU(2) holonomy manifolds as conjectured by Costello.

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“…Exploiting such quantum mechanics it is the key towards understanding the algebra of G 2 instantons for the example we consider, in particular, zooming to the intersection point of a pair of associatives, one has a local model that can be traced back to a wellknown orbifold of the Bryant-Salamon metric for the G 2 cone over the three-dimensional complex projective plane CP 3 [49], that were discussed in [50,51]. This is a universal building block for the G 2 instanton partition functions that can be understood in terms of the twisted M-theory à la Costello [23] (see also [25,26]), along the lines of [52].…”

Section: Introductionmentioning

confidence: 99%

Evidence for an Algebra of $\boldsymbol{G_2}$ Instantons

Del Zotto,

Oh,

Zhou

2021

Preprint

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In this short note, we present some evidence towards the existence of an algebra of BPS G 2 instantons. These are instantonic configurations that govern the partition functions of 7d SYM theories on local G 2 holonomy manifolds X . To shed light on such structure, we begin investigating the relation with parent 4d N = 1 theories obtained by geometric engineering M-theory on X . The main point of this paper is to substantiate the following dream: the holomorphic sector of such theories on multi-centered Taub-NUT spaces gives rise to an algebra whose characters organise the G 2 instanton partition function. As a first step towards this program we argue by string duality that a multitude of geometries X exist that are dual to well-known 4d SCFTs arising from D3 branes probes of CY cones: all these models are amenable to an analysis along the lines suggested by Dijkgraaf, Gukov, Neitzke and Vafa in the context of topological M-theory. Moreover, we discuss an interesting relation to Costello's twisted M-theory, which arises at local patches, and is a key ingredient in identifying the relevant algebras.

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A domain wall in twisted M-theory

Cited by 4 publications

References 47 publications

Maximally twisted eleven-dimensional supergravity

Maximally twisted eleven-dimensional supergravity

Maximally Twisted Eleven-Dimensional Supergravity

Evidence for an Algebra of $\boldsymbol{G_2}$ Instantons

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