Conformal bootstrap and Heterotic string Gepner models

Fuente: arXiv
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Autori principali: Belavin, Alexander, Parkhomenko, Sergej
Natura: Preprint
Pubblicazione: 2024
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author Belavin, Alexander
Parkhomenko, Sergej
author_facet Belavin, Alexander
Parkhomenko, Sergej
contents In Gepner's pioneering work, the requirement that leads to a model having the desired $N=1$ Spacetime supersymmetry and $E(8)\times E(6)$ Gauge symmetry was the requirement that the spacetime symmetry is compatible with modular invariance. In this work we show that the requirement for the simultaneous fulfillment of mutual locality of the left-moving vertices of physical states with the space-time symmetry generators and of right-moving vertices with generators of $E(8)\times E(6)$-gauge symmetry, which arises after some special reduction together with the requirement of mutual locality of complete (left-right) vertices of physical states among themselves leads to the same Gepner models.
format Preprint
id arxiv_https___arxiv_org_abs_2406_15144
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Conformal bootstrap and Heterotic string Gepner models
Belavin, Alexander
Parkhomenko, Sergej
High Energy Physics - Theory
Mathematical Physics
In Gepner's pioneering work, the requirement that leads to a model having the desired $N=1$ Spacetime supersymmetry and $E(8)\times E(6)$ Gauge symmetry was the requirement that the spacetime symmetry is compatible with modular invariance. In this work we show that the requirement for the simultaneous fulfillment of mutual locality of the left-moving vertices of physical states with the space-time symmetry generators and of right-moving vertices with generators of $E(8)\times E(6)$-gauge symmetry, which arises after some special reduction together with the requirement of mutual locality of complete (left-right) vertices of physical states among themselves leads to the same Gepner models.
title Conformal bootstrap and Heterotic string Gepner models
topic High Energy Physics - Theory
Mathematical Physics
url https://arxiv.org/abs/2406.15144