arXiv subjects

George Gkountoumis

Publications and source records attributed to George Gkountoumis.

5 recordsLinked to original sources

arXiv2026

Strings on freely acting orbifolds: Spectra, moduli spaces and branes

In this dissertation, we study various aspects of type IIB string theory compactified on freely acting orbifolds. We focus particularly on asymmetric orbifolds, which are examples of non-geometric string compactifications and constitute an intriguing corner in the string landscape. We describe the orbifolds using two complementary approaches; the duality twists and the lattice approach. First, we discuss the general construction of freely acting (asymmetric) orbifolds, focusing on the closed string sector. Afterwards, we present explicit examples of orbifolds preserving $\mathcal{N} = 6,4,2$ or $0$ supersymmetry in five dimensions and we demonstrate the connection between freely acting orbifolds and Scherk-Schwarz reductions by matching the lightest untwisted orbifold states with those arising form the effective supergravity theory. Regarding the orbifold twisted sectors, we show that at special points in the moduli space, generically massive states can become massless. Furthermore, we show that the spectrum of non-supersymmetric orbifolds can become tachyon-free away from special loci in the moduli space. Next, we turn our attention to the orbifold moduli space, and we focus on orbifolds preserving $\mathcal{N} = 2$ supersymmetry in five dimensions, for which we determine the classical hypermultiplet and vector multiplet moduli spaces. Moreover, by constructing dual orbifold pairs, we argue that no quantum corrections to the metric on the vector multiplet moduli space arise. Then, we discuss aspects of the swampland program in the context of freely acting asymmetric orbifolds and we verify that the swampland distance conjecture is valid in the non-geometric compactifications of string theory studied in this thesis. Finally, we focus on the D-brane spectrum of freely acting orbifolds and we determine the conditions under which the various D-branes survive the orbifolding.

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arXiv2025

Duality and Infinite Distance Limits in Asymmetric Freely Acting Orbifolds

We use freely acting asymmetric orbifolds of type IIB string theory to construct a class of theories in four dimensions with eight supercharges. Their low energy effective field theories resemble $STU$ models, but have different duality groups: the orbifold's free action reduce the duality groups to congruence subgroups of the modular group. The fundamental domain is consequently larger and contains new interesting points at infinite distance on the real axis bounding the upper half plane. We verify that the distance conjectures hold in the non-geometric compactification of string theory studied here. In particular, we find points at infinite distance in moduli space at which the theory decompactifies to a different orbifold construction.

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arXiv2024

Asymmetric $\mathbb{Z}_4$ orbifolds of type IIB string theory revisited

We construct freely acting asymmetric $\mathbb{Z}_4$ orbifolds of type IIB string theory on $T^5$ preserving 24,16 or 8 supercharges in five dimensions. We show that these models are well-defined if the SO(8) lattice is chosen, instead of the SU(2)$^4$ lattice, which was previously considered in the literature.

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arXiv2024

Exact moduli spaces for $\mathcal{N}=2, D=5$ freely acting orbifolds

We use freely acting asymmetric orbifolds of type IIB string theory to construct a class of theories in five dimensions with eight supercharges whose moduli spaces for vector multiplets and hypermultiplets can be determined exactly. We argue that no quantum corrections to these moduli spaces arise. We focus on examples in which all moduli are in the NS-NS sector, while all fields from the R-R sector become massive. The full symmetry group of the moduli space is then determined by the subgroup of the T-duality group that survives the orbifold action. We illustrate this for freely acting orbifolds of type IIB string theory on $T^5$ with $0,1$ or $2$ hypermultiplets.

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arXiv2023

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

We study freely acting orbifolds of type IIB string theory on $T^5$ that spontaneously break supersymmetry from $\mathcal{N}=8$ to $\mathcal{N}=6,4,2$ or 0 in five dimensions. We focus on orbifolds that are a $\mathbb{Z}_p$ 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 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 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 $q\bar{q}$-expansion in the twisted sector.

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