Type 0 ℤ2 × ℤ2 heterotic string orbifolds and misaligned supersymmetry

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

doi:10.1142/s0217751x21501748

“…We believe this can be an important step in understanding misaligned supersymmetry as a general property of string theory and of string phenomenology in particular. Heterotic string models exhibiting misaligned supersymmetry have been previously analysed in [15,16,[27][28][29][30][31].…”

Section: Introductionmentioning

confidence: 99%

Misaligned Supersymmetry and Open Strings

Cribiori,

Parameswaran,

Tonioni

et al. 2020

Preprint

2

6

0

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The study of non-supersymmetric string theories is shedding light on an important corner of the string landscape and might ultimately explain why, so far, we did not observe supersymmetry in our universe. We review how misaligned supersymmetry in closed-string theories leads to a cancellation between bosons and fermions even in non-supersymmetric string theories. We then show that the same cancellation takes place for open strings by studying an anti-Dp-brane placed on top of an Op-plane in type II string theory. Misaligned supersymmetry consists in cancellations between bosons and fermions at different energy levels, in such a way that the averaged number of states grows at a rate dominated by a factor e C eff √ n , with C eff < C tot , where C tot is the inverse Hagedorn temperature. We prove the previously conjectured complete cancellation, i.e. we prove that C eff = 0, for a vast class of models.

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“…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.

View full text Add to dashboard Cite

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.

show abstract

Type 0 ℤ2 × ℤ2 heterotic string orbifolds and misaligned supersymmetry

Cited by 7 publications

References 78 publications

Misaligned Supersymmetry and Open Strings

Misaligned Supersymmetry and Open Strings

Modular invariance, misalignment and finiteness in non-supersymmetric strings

Modular invariance, misalignment and finiteness in non-supersymmetric strings

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