(0,2) hybrid models

Bertolini, Marco; Plesser, M. Ronen

doi:10.1007/jhep09(2018)067

Cited by 10 publications

(24 citation statements)

References 71 publications

(146 reference statements)

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“…While we could show that the sphere partition function in hybrid phases reduces to the proposed form and that the result is consistent with results of the mathematics literature, a better understanding of the physics of the hybrid models would be desirable. See for instance [52][53][54] for recent results. Furthermore it would be interesting to see if the (conjectural) I-functions and Gamma classes we computed for two-parameter hybrid models and oneparameter pseudo-hybrid models are consistent with FJRW theory.…”

Section: Discussionmentioning

confidence: 99%

“…A class of such examples are hybrid models that are fibrations of Landau-Ginzburg orbifolds over some base manifold B. In the physics literature they have been studied for instance in [52][53][54]. In the mathematics literature there is a generalisation of FJRW theory that captures a class of one-parameter hybrid models [20][21][22][23][24].…”

Section: Hybrid Phasesmentioning

confidence: 99%

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Sphere partition function of Calabi-Yau GLSMs

Erkinger¹,

Knapp²

2020

Preprint

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The sphere partition function of Calabi-Yau gauged linear sigma models (GLSMs) has been shown to compute the exact Kähler potential of the Kähler moduli space of a Calabi-Yau. We propose a universal expression for the sphere partition function evaluated in hybrid phases of Calabi-Yau GLSMs that are fibrations of Landau-Ginzburg orbifolds over some base manifold. Special cases include Calabi-Yau complete intersections in toric ambient spaces and Landau-Ginzburg orbifolds. The key ingredients that enter the expression are Givental's I/J-functions, the Gamma class and further data associated to the hybrid model. We test the proposal for one-and two-parameter abelian GLSMs, making connections, where possible, to known results from mirror symmetry and FJRW theory.

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Section: Discussionmentioning

confidence: 99%

Section: Hybrid Phasesmentioning

confidence: 99%

Sphere partition function of Calabi-Yau GLSMs

Erkinger¹,

Knapp²

2020

Preprint

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“…Upon quotienting by the U(1) gauge group the x, z coordinates describe a compact manifold B = P N 1 +N 2 −2 {a i }{d P } , while the massless fields p, y 1j , y 2j transform as appropriate line bundles over B. This is precisely the structure of a hybrid model [16] E → Y , where the target space is given by…”

Section: Singular Cicys and Hybrid Modelsmentioning

confidence: 99%

“…We will show that not all is lost however. This locus of singular complex structures admits an alternative description in terms of a (0,2) hybrid model [16]. Briefly, such models are defined as NLSMs on the geometry E → Y , where the target space Y is generically non-compact and not necessarily Calabi-Yau, equipped with a (0,2) superpotential interaction J ∈ Γ(E * ) such that the space of classical vacua is a compact Kähler subspace J −1 (0) = B ⊂ Y .…”

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confidence: 99%

A (0,2) mirror duality

Bertolini,

Plesser

2018

Preprint

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We construct a class of exactly solved (0,2) heterotic compactifications, similar to the (2,2) models constructed by Gepner. We identify these as special points in moduli spaces containing geometric limits described by non-linear sigma models on complete intersection Calabi-Yau spaces in toric varieties, equipped with a bundle whose rank is strictly greater than that of the tangent bundle. These moduli spaces do not in general contain a locus exhibiting (2,2) supersymmetry. A quotient procedure at the exactly solved point realizes the mirror isomorphism, as was the case for Gepner models. We find a geometric interpretation of the mirror duality in the context of hybrid models. 24 4.3 P 7

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“…The reader is referred to Refs [19][20][21][22]. and Refs [23][24][25][26]. for earlier work on the infinitesimal moduli of Hull-Strominger systems.…”

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confidence: 99%

Superpotential of three dimensional $$ \mathcal{N} $$ = 1 heterotic supergravity

Ossa

Larfors

Magill

et al. 2020

J. High Energ. Phys.

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We dimensionally reduce the ten dimensional heterotic supergravity action on spacetimes of the form M (2,1) × Y , where M (2,1) is three dimensional maximally symmetric Anti de Sitter or Minkowski space, and Y is a compact seven dimensional manifold with G 2 structure. In doing so, we derive the real superpotential functional of the corresponding three dimensional N = 1 theory. We confirm that extrema of this functional correspond to supersymmetric heterotic compactifications on manifolds of G 2 structure in the large volume, weak coupling limit to first order in α . We make some comments on the role of the superpotential functional with respect to the coupled moduli problem of instanton bundles over G 2 manifolds.

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(0,2) hybrid models

Cited by 10 publications

References 71 publications

Sphere partition function of Calabi-Yau GLSMs

Sphere partition function of Calabi-Yau GLSMs

A (0,2) mirror duality

Superpotential of three dimensional $$ \mathcal{N} $$ = 1 heterotic supergravity

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