{"title":"Higher derivative heterotic supergravity on a torus and supersymmetry","authors":"Sabarenath Jayaprakash, James T. Liu","doi":"10.1007/JHEP12(2024)076","DOIUrl":null,"url":null,"abstract":"<p>Ignoring ten-dimensional heterotic gauge fields, heterotic supergravity reduced on a <i>d</i>-dimensional torus gives rise to a half-maximal supergravity coupled to <i>d</i> vector multiplets. The reduced theory has a continuous <i>O</i>(<i>d</i>, <i>d</i>; <i>ℝ</i>)/<i>O</i>(<i>d</i>)<sub>−</sub> × <i>O</i>(<i>d</i>)<sub>+</sub> symmetry that persists to all perturbative orders in the string <i>α</i><sup><i>′</i></sup> expansion. We highlight this symmetry by explicitly reducing the bosonic sector of four-derivative heterotic supergravity as well as its fermionic supersymmetry variations. After appropriate field redefinitions, the resulting action and supersymmetry variations are manifestly <i>O</i>(<i>d</i>)<sub><i>−</i></sub> × <i>O</i>(<i>d</i>)<sub>+</sub> invariant. This reduction allows us to explore the interplay between the gravity and vector multiplets beyond leading order, where (in our conventions) <i>O</i>(<i>d</i>)<sub>−</sub> is the supergravity R-symmetry while <i>O</i>(<i>d</i>)<sub>+</sub> is a flavor symmetry of the <i>d</i> vector multiplets.</p>","PeriodicalId":635,"journal":{"name":"Journal of High Energy Physics","volume":"2024 12","pages":""},"PeriodicalIF":5.4000,"publicationDate":"2024-12-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/JHEP12(2024)076.pdf","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of High Energy Physics","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1007/JHEP12(2024)076","RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"Physics and Astronomy","Score":null,"Total":0}
引用次数: 0
Abstract
Ignoring ten-dimensional heterotic gauge fields, heterotic supergravity reduced on a d-dimensional torus gives rise to a half-maximal supergravity coupled to d vector multiplets. The reduced theory has a continuous O(d, d; ℝ)/O(d)− × O(d)+ symmetry that persists to all perturbative orders in the string α′ expansion. We highlight this symmetry by explicitly reducing the bosonic sector of four-derivative heterotic supergravity as well as its fermionic supersymmetry variations. After appropriate field redefinitions, the resulting action and supersymmetry variations are manifestly O(d)− × O(d)+ invariant. This reduction allows us to explore the interplay between the gravity and vector multiplets beyond leading order, where (in our conventions) O(d)− is the supergravity R-symmetry while O(d)+ is a flavor symmetry of the d vector multiplets.
期刊介绍:
The aim of the Journal of High Energy Physics (JHEP) is to ensure fast and efficient online publication tools to the scientific community, while keeping that community in charge of every aspect of the peer-review and publication process in order to ensure the highest quality standards in the journal.
Consequently, the Advisory and Editorial Boards, composed of distinguished, active scientists in the field, jointly establish with the Scientific Director the journal''s scientific policy and ensure the scientific quality of accepted articles.
JHEP presently encompasses the following areas of theoretical and experimental physics:
Collider Physics
Underground and Large Array Physics
Quantum Field Theory
Gauge Field Theories
Symmetries
String and Brane Theory
General Relativity and Gravitation
Supersymmetry
Mathematical Methods of Physics
Mostly Solvable Models
Astroparticles
Statistical Field Theories
Mostly Weak Interactions
Mostly Strong Interactions
Quantum Field Theory (phenomenology)
Strings and Branes
Phenomenological Aspects of Supersymmetry
Mostly Strong Interactions (phenomenology).