Classification of Modular Symmetries in Type IIB Flux Landscape

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Hauptverfasser:	Ishiguro, Keiya, Kai, Takafumi, Kobayashi, Tatsuo, Koga, Yuichi, Otsuka, Hajime
Format:	Preprint
Veröffentlicht:	2025
Schlagworte:	High Energy Physics - Theory
Online-Zugang:	Acceder al recurso
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author	Ishiguro, Keiya Kai, Takafumi Kobayashi, Tatsuo Koga, Yuichi Otsuka, Hajime
author_facet	Ishiguro, Keiya Kai, Takafumi Kobayashi, Tatsuo Koga, Yuichi Otsuka, Hajime
contents	In this work, we study modular symmetries in type IIB flux landscape by investigating symplectic basis transformations of period vectors on toroidal orbifolds. To fix explicit cycles of a third-cohomology basis regarding the untwisted complex structure modulus, which is necessary to construct the period vectors, we find that the following two symmetries are required for the period vectors: (i) ``Scaling duality '' which is a generalized $S$-transformation of $PSL(2, \mathbb{Z})$ and (ii) the modular symmetries to be consistent with symmetries derived from mass spectra of the closed string in type IIB string theory. Furthermore, by considering flux quanta on the cycles, we explore type IIB flux vacua on toroidal orientifolds and flux transformations under the modular symmetries of the period vectors.
format	Preprint
id	arxiv_https___arxiv_org_abs_2502_20743
institution	arXiv
publishDate	2025
record_format	arxiv
spellingShingle	Classification of Modular Symmetries in Type IIB Flux Landscape Ishiguro, Keiya Kai, Takafumi Kobayashi, Tatsuo Koga, Yuichi Otsuka, Hajime High Energy Physics - Theory In this work, we study modular symmetries in type IIB flux landscape by investigating symplectic basis transformations of period vectors on toroidal orbifolds. To fix explicit cycles of a third-cohomology basis regarding the untwisted complex structure modulus, which is necessary to construct the period vectors, we find that the following two symmetries are required for the period vectors: (i) ``Scaling duality '' which is a generalized $S$-transformation of $PSL(2, \mathbb{Z})$ and (ii) the modular symmetries to be consistent with symmetries derived from mass spectra of the closed string in type IIB string theory. Furthermore, by considering flux quanta on the cycles, we explore type IIB flux vacua on toroidal orientifolds and flux transformations under the modular symmetries of the period vectors.
title	Classification of Modular Symmetries in Type IIB Flux Landscape
topic	High Energy Physics - Theory
url	https://arxiv.org/abs/2502.20743

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