The asymmetric CFT landscape in  with extended supersymmetry

Blumenhagen, Ralph; Fuchs, Michael; Plauschinn, Erik

doi:10.1002/prop.201700006

Cited by 11 publications

(22 citation statements)

References 49 publications

(153 reference statements)

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“…In the first paper [19], we analyzed this question in the context of Calabi-Yau compactifications and in a second paper [20], we confirmed the correspondence in more controlled setups with more supersymmetry. The results are encouraging and suggest that there is indeed a deep correspondence between asymmetric CFTs and gauged supergravities.…”

Section: Introductionmentioning

confidence: 62%

“…the appendix of [20]) all other breaking patterns can be easily deduced analogously to the above example. Clearly when a superpotential is induced by the gaugings/fluxes the situation gets a little more involved.…”

Section: Pos(corfu2016)127mentioning

confidence: 75%

“…The main objective of the papers [19,20] was to analyze this question in the framework of asymmetric Gepner models. While there are other methods [21], the easiest way to construct an asymmetric Gepner model is the simple current method [41,42,43,44,45,46,47,22].…”

Section: Asymmetric Gepner Models and Their Corresponding Gsugramentioning

confidence: 99%

“…We start with simple currents, continue with Gepner models, the construction of Calabi-Yau manifolds and close with a review of gauged supergravities and especially their supersymmetry breaking mechanisms. In section 3 we review [19] and [20]. We start with the case of 4D N = 2 to N = 1 supersymmetry breaking which we analyzed in [19].…”

Section: Introductionmentioning

confidence: 99%

“…We start with the case of 4D N = 2 to N = 1 supersymmetry breaking which we analyzed in [19]. Then we present parts of our full classification of asymmetric Gepner models in any dimension with extended supersymmetry to give more evidence for our conjecture as done in [20].…”

Section: Introductionmentioning

confidence: 99%

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Asymmetric CFTs and GSUGRA II

Fuchs¹,

Blumenhagen²,

Plauschinn³

2017

Proceedings of Corfu Summer Institute 2016 "School and Workshops on Elementary Particle Physics and Gravity" — PoS(CORFU2016)

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Recent progress on the relation between asymmetric conformal field theories and vacua of gauged supergravities is reviewed. This includes a classification of asymmetric Gepner models in 8D, 6D and 4D with at least eight supercharges, and how they can be categorized by just a few mechanisms including the super Higgs-effect. The latter is a prerequisite for the identification with non-geometric flux compactifications. We also highlight our findings for the identification of 4D asymmetric Gepner models with N = 1 supersymmetry with Minkowski vacua of N = 2 GSUGRA.

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Section: Introductionmentioning

confidence: 62%

Section: Pos(corfu2016)127mentioning

confidence: 75%

Section: Asymmetric Gepner Models and Their Corresponding Gsugramentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Asymmetric CFTs and GSUGRA II

Fuchs¹,

Blumenhagen²,

Plauschinn³

2017

Proceedings of Corfu Summer Institute 2016 "School and Workshops on Elementary Particle Physics and Gravity" — PoS(CORFU2016)

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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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2d orbifolds with exotic supersymmetry

Florakis

García-Etxebarria

Lüst

et al. 2018

J. High Energ. Phys.

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We analyse various two dimensional theories arising from compactification of type II and heterotic string theory on asymmetric orbifolds. We find extra supersymmetry generators arising from twisted sectors, giving rise to exotic supersymmetry algebras. Among others we discover new cases with a large number of supercharges, such as N = (20, 8), N = (24, 8), N = (32, 0), N = (24, 24) and N = (48, 0).

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The asymmetric CFT landscape in with extended supersymmetry

Cited by 11 publications

References 49 publications

Asymmetric CFTs and GSUGRA II

Asymmetric CFTs and GSUGRA II

Spacetime Supersymmetry in Low‐Dimensional Perturbative Heterotic Compactifications

2d orbifolds with exotic supersymmetry

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