A worldsheet perspective on heterotic T-duality orbifolds

Nibbelink, Stefan Groot

doi:10.1007/jhep04(2021)190

Cited by 4 publications

(3 citation statements)

References 44 publications

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“…Now that we have defined our orbifold action, we would like to construct the one-loop partition function (we follow the conventions of [48]; for some other references and recent examples, see e.g. [49,50]). In general, the starting point for the partition function is…”

Section: Partition Functionmentioning

confidence: 99%

Freely acting orbifolds of type IIB string theory on $T^5$

Gkountoumis¹,

Hull²,

Stemerdink³

2023

Preprint

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We study freely acting orbifolds of type IIB string theory on T 5 that spontaneously break supersymmetry from N = 8 to N = 6, 4, 2 or 0 in five dimensions. We focus on orbifolds that are a Z p quotient by a T-duality acting on T 4 and a shift on the remaining S 1 . Modular invariant partition functions are constructed and detailed examples of both symmetric and asymmetric orbifolds are presented, including new examples of five-dimensional nonsupersymmetric string theories with no tachyons. The orbifolds we consider arise at special points in the moduli space of string theory compactifications with a duality twist. The supergravity limit of these are Scherk-Schwarz reductions which generate gauged supergravities with positive definite potentials on the moduli space in five dimensions. Both symmetric and asymmetric freely acting orbifolds give a landscape of Minkowski vacua. For gauged supergravities to belong to this landscape, we find a number of constraints and conditions. Firstly, the scalar potential should lead to a massive spectrum with masses that obey quantization conditions arising from a string theory orbifold, which we discuss in detail. Secondly, we find constraints on the massless sector, e.g. in the examples of orbifolds preserving sixteen supercharges in five dimensions that we consider, only an odd number of vector multiplets arise. Lastly, we present new examples of candidate asymmetric orbifolds with modular invariant partition functions, but with non-integral coefficients in the q q-expansion in the twisted sector.

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Section: Partition Functionmentioning

confidence: 99%

Freely acting orbifolds of type IIB string theory on $T^5$

Gkountoumis¹,

Hull²,

Stemerdink³

2023

Preprint

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show abstract

“…(We follow the conventions of [48]; for some other references and recent examples, see e.g. [49,50].) In general, the starting point for the partition function is Zpτ, τ q " Tr " q pL 0 ´c 24 q qp L0 ´c 24 q ı , q " e 2πiτ , (…”

Section: The Partition Functionmentioning

confidence: 99%

Freely acting orbifolds of type IIB string theory on T5

Gkountoumis,

Hull,

Stemerdink

et al. 2023

J. High Energ. Phys.

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We study freely acting orbifolds of type IIB string theory on T5 that spontaneously break supersymmetry from $$ \mathcal{N} $$ N = 8 to $$ \mathcal{N} $$ N = 6, 4, 2 or 0 in five dimensions. We focus on orbifolds that are a ℤp quotient by a T-duality acting on T4 and a shift on the remaining S1. Modular invariant partition functions are constructed and detailed examples of both symmetric and asymmetric orbifolds are presented, including new examples of five-dimensional non-supersymmetric string theories with no tachyons. The orbifolds we consider arise at special points in the moduli space of string theory compactifications with a duality twist. The supergravity limit of these are Scherk-Schwarz reductions which generate gauged supergravities with positive definite classical potentials on the moduli space in five dimensions. Both symmetric and asymmetric freely acting orbifolds give a landscape of Minkowski vacua. For gauged supergravities to belong to this landscape, we find a number of constraints and conditions. Firstly, the scalar potential should lead to a massive spectrum with masses that obey quantization conditions arising from a string theory orbifold, which we discuss in detail. Secondly, we find constraints on the massless sector, e.g. in the examples of orbifolds preserving sixteen supersymmetries in five dimensions that we consider, only an odd number of vector multiplets arises. Lastly, we present new examples of candidate asymmetric orbifolds with modular invariant partition functions, but with non-integral coefficients in the $$ q\overline{q} $$ q q ¯ -expansion in the twisted sectors.

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“…see for example refs. [49,50] (where we changed the convention from B to −B). Then, a two-torus compactification can be parameterized by a Kähler modulus T and a complex structure modulus U , defined as…”

Section: Jhep06(2021)110mentioning

confidence: 99%

Completing the eclectic flavor scheme of the ℤ2 orbifold

Baur

Kade

Nilles³

et al. 2021

J. High Energ. Phys.

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We present a detailed analysis of the eclectic flavor structure of the two-dimensional ℤ2 orbifold with its two unconstrained moduli T and U as well as SL(2, ℤ)T× SL(2, ℤ)U modular symmetry. This provides a thorough understanding of mirror symmetry as well as the R-symmetries that appear as a consequence of the automorphy factors of modular transformations. It leads to a complete picture of local flavor unification in the (T, U) modulus landscape. In view of applications towards the flavor structure of particle physics models, we are led to top-down constructions with high predictive power. The first reason is the very limited availability of flavor representations of twisted matter fields as well as their (fixed) modular weights. This is followed by severe restrictions from traditional and (finite) modular flavor symmetries, mirror symmetry, $$ \mathcal{CP} $$ CP and R-symmetries on the superpotential and Kähler potential of the theory.

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A worldsheet perspective on heterotic T-duality orbifolds

Cited by 4 publications

References 44 publications

Freely acting orbifolds of type IIB string theory on $T^5$

Freely acting orbifolds of type IIB string theory on $T^5$

Freely acting orbifolds of type IIB string theory on T5

Completing the eclectic flavor scheme of the ℤ2 orbifold

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