Non-duality in three dimensions

Melnikov, Ilarion V.; Minasian, Ruben; Sethi, Savdeep

doi:10.1007/jhep10(2017)053

Cited by 7 publications

(10 citation statements)

References 39 publications

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“…Finally, the

{scriptA}_{3 / 2, S^{1}}^{1}

denotes the

N = 1

superconformal algebra of a single free Majorana fermion and its superpartner current. These constraints are consistent with heterotic supergravity results obtained in [].…”

Section: Introductionsupporting

confidence: 92%

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Spacetime Supersymmetry in Low‐Dimensional Perturbative Heterotic Compactifications

Melnikov

Minasian

Sethi

2018

Fortschritte der Physik

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We study the constraints of spacetime supersymmetry for perturbative threeand two-dimensional Minkowski vacua of the critical heterotic string. Assuming a standard RNS construction of the spacetime supersymmetry generators and a compact unitary internal superconformal worldsheet theory, we describe the worldsheet structures associated to various spacetime supersymmetries. In three dimensions we show that there are no CFT surprises: each allowed spacetime supersymmetry is realized by a supergravity compactification. As a recent orbifold construction shows, in two dimensions there are more exotic possibilities, and we discuss how these fit into our analysis. 1 There is a classification [2][3][4] of the SCAs that only have currents with spins in {0, 1/2, 1, 3/2, 2} and a unique spin 2 current. All such SCAs have N ≤ 4, and those with N ≤ 3 are unique up to isomorphism; for N = 4 our notation A 4 c denotes the so-called "small" N=4 algebra. 2 The investigations of the worldsheet structure of Calabi-Yau compactifications and related theories [5,6] showed that A 2 9 SCA with integral R-charges was a sufficient condition for spacetime supersymmetry, and the work of [1] went on to show this to be necessary as well. 4 z 2 12 , J αβ 1 J γ δ 2 ∼ 1 z 2 12 δ αγ δ βδ − δ αδ δ βγFrom the last line it follows that the currents J α are chiral primary with respect to A 2 12 , while the J †α are their anti-chiral primary conjugates. Moreover, for any α the triplet {J α , J †α , J R } forms an su(2) 2 Kac-Moody algebra. As a result, we have the additional non-trivial OPEs

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“…Finally, the

{scriptA}_{3 / 2, S^{1}}^{1}

denotes the

N = 1

superconformal algebra of a single free Majorana fermion and its superpartner current. These constraints are consistent with heterotic supergravity results obtained in [].…”

Section: Introductionsupporting

confidence: 92%

“…One broad class of such theories is M‐theory compactified on X 8 with

Sp (2)

holonomy, which naturally leads to

N = 3

D = 3

. In fact, it is possible to find

N = 3

D = 3

M‐theory vacua with

X_{8} = K3 \times K3

and an appropriate choice of G ‐flux …”

Section: Introductionmentioning

confidence: 99%

Spacetime Supersymmetry in Low‐Dimensional Perturbative Heterotic Compactifications

Melnikov

Minasian

Sethi

2018

Fortschritte der Physik

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“…In this situation the constant W 0 of the effective D=3 space-time theory (1.2) vanishes. There are more general flux configurations that preserve 2 or more real supercharges explored in [41,42] for which the flux is neither purely of (2, 2) Hodge type, nor primitive. We will not need those more general cases in this discussion.…”

Section: Point 1: Higher Derivative Termsmentioning

confidence: 99%

Supersymmetry breaking by fluxes

Sethi

2018

J. High Energ. Phys.

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140

158

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Type II string theory and M-theory admit flux configurations that break supersymmetry below the Kaluza-Klein scale. These backgrounds play a central role in most models of the string landscape. I argue that the behavior of such backgrounds at weak coupling is generically a rolling solution, not a static space-time. Quantum corrections to the space-time potential are computed around this classical time-dependent background. This is particularly important for non-perturbative corrections. This change in perspective offers an explanation for why there appear to be many effective field theory models that seemingly evade the known no-go theorems forbidding de Sitter space-times. This has interesting implications for type IIB string landscape models.arXiv:1709.03554v3 [hep-th]

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“…In this paper we will not consider fluxes but focus on the geometric constructions. Of course it is interesting to consider this in the future and study the effects of these on supersymmetry breaking and potential obstructions to dualities, both M/F-duality [34], where in particular 4d Poincaré invariance could be broken, as well as obstructions to M-theory/weakly-coupled heterotic duality [35,36].…”

Section: Jhep06(2018)103mentioning

confidence: 99%

Spin(7)-manifolds as generalized connected sums and 3d $$ \mathcal{N}=1 $$ theories

Braun¹,

Schäfer‐Nameki²

2018

J. High Energ. Phys.

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M-theory on compact eight-manifolds with Spin(7)-holonomy is a framework for geometric engineering of 3d N = 1 gauge theories coupled to gravity. We propose a new construction of such Spin(7)-manifolds, based on a generalized connected sum, where the building blocks are a Calabi-Yau four-fold and a G 2 -holonomy manifold times a circle, respectively, which both asymptote to a Calabi-Yau three-fold times a cylinder. The generalized connected sum construction is first exemplified for Joyce orbifolds, and is then used to construct examples of new compact manifolds with Spin(7)-holonomy. In instances when there is a K3-fibration of the Spin(7)-manifold, we test the spectra using duality to heterotic on a T 3 -fibered G 2 -holonomy manifold, which are shown to be precisely the recently discovered twisted-connected sum constructions.

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Non-duality in three dimensions

Cited by 7 publications

References 39 publications

Spacetime Supersymmetry in Low‐Dimensional Perturbative Heterotic Compactifications

Spacetime Supersymmetry in Low‐Dimensional Perturbative Heterotic Compactifications

Supersymmetry breaking by fluxes

Spin(7)-manifolds as generalized connected sums and 3d $$ \mathcal{N}=1 $$ theories

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