Towards the classification of tachyon-free models from tachyonic ten-dimensional heterotic string vacua

Faraggi, Alon E.; Matyas, Viktor G.; Percival, Benjamin

doi:10.1016/j.nuclphysb.2020.115231

“…For instance, heterotic string models exhibiting misaligned supersymmetry have recently been analysed in refs. [52][53][54][55][56][57][58]. Noteworthy constructions involving open strings are for instance refs.…”

Section: Discussionmentioning

confidence: 99%

Modular invariance, misalignment and finiteness in non-supersymmetric strings

Cribiori,

Parameswaran,

Tonioni

et al. 2021

Preprint

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In this article we show that finite perturbative corrections in non-supersymmetric strings can be understood via an interplay between modular invariance and misaligned supersymmetry. While modular invariance is known to be crucial in closed-string models, its presence and role for open strings is more subtle. Nevertheless, we argue that it leads to cancellations in physical quantities such as the one-loop cosmological constant and prevents them from diverging. In particular, we show that if the sector-averaged number of states does not grow exponentially, as predicted by misaligned supersymmetry, all exponential divergences in the one-loop cosmological constant cancel out as well. To account for the absence of power-law divergences, instead, we need to resort to the modular structure of the partition function. We finally comment on the presence of misaligned supersymmetry in the known 10-dimensional tachyon-free non-supersymmetric string theories.

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“…For instance, heterotic string models exhibiting misaligned supersymmetry have recently been analysed in refs. [53][54][55][56][57][58][59]. Noteworthy constructions involving open strings are for instance refs.…”

Section: Jhep01(2022)127mentioning

confidence: 99%

Modular invariance, misalignment and finiteness in non-supersymmetric strings

Cribiori

¹

,

Parameswaran

²

,

Tonioni

³

et al. 2022

J. High Energ. Phys.

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In this article we show that finite perturbative corrections in non-supersymmetric strings can be understood via an interplay between modular invariance and misaligned supersymmetry. While modular invariance is known to be crucial in closed-string models, its presence and role for open strings is more subtle. Nevertheless, we argue that it leads to cancellations in physical quantities such as the one-loop cosmological constant and prevents them from diverging. In particular, we show that if the sector-averaged number of states does not grow exponentially, as predicted by misaligned supersymmetry, all exponential divergences in the one-loop cosmological constant cancel out as well. To account for the absence of power-law divergences, instead, we need to resort to the modular structure of the partition function. We finally comment on the presence of misaligned supersymmetry in the known 10-dimensional tachyon-free non-supersymmetric string theories.

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“…For tachyon-free models with no supersymmetry at all, we expect that the constraints discussed in this paper do not apply. This could be the case for the 10d SO(16)×SO (16) heterotic string [84,85] (however, its continuous interpolation with the superstring could make it similar to the Scherk-Schwarz examples), the 0'B orientifold [86,87] and their compactifications [30,[88][89][90][91][92][93].…”

Section: Jhep11(2020)125mentioning

confidence: 99%

String defects, supersymmetry and the Swampland

Angelantonj

¹

,

Bonnefoy

²

,

Condeescu

³

et al. 2020

J. High Energ. Phys.

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Recently, Kim, Shiu and Vafa proposed general consistency conditions for six dimensional supergravity theories with minimal supersymmetry coming from couplings to strings. We test them in explicit perturbative orientifold models in order to unravel the microscopic origin of these constraints. Based on the perturbative data, we conjecture the existence of null charges Q∙Q = 0 for any six-dimensional theory with at least one tensor multiplet, coupling to string defects of charge Q. We then include the new constraint to exclude some six-dimensional supersymmetric anomaly-free examples that have currently no string or F-theory realization. We also investigate the constraints from the couplings to string defects in case where supersymmetry is broken in tachyon free vacua, containing non-BPS configurations of brane supersymmetry breaking type, where the breaking is localized on antibranes. In this case, some conditions have naturally to be changed or relaxed whenever the string defects experience supersymmetry breaking, whereas the constraints are still valid if they are geometrically separated from the supersymmetry breaking source.

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Towards the classification of tachyon-free models from tachyonic ten-dimensional heterotic string vacua

Cited by 27 publications

References 80 publications

Modular invariance, misalignment and finiteness in non-supersymmetric strings

Modular invariance, misalignment and finiteness in non-supersymmetric strings

Modular invariance, misalignment and finiteness in non-supersymmetric strings

String defects, supersymmetry and the Swampland

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