Steven Weilong Hsia, Ahmed Rakin Kamal, Linus Wulff
{"title":"No manifest T duality at order α′3","authors":"Steven Weilong Hsia, Ahmed Rakin Kamal, Linus Wulff","doi":"10.1103/physrevd.111.l061904","DOIUrl":null,"url":null,"abstract":"When reduced from 10 to 10</a:mn>−</a:mo>d</a:mi></a:math> dimensions tree-level string theory exhibits an <c:math xmlns:c=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><c:mi>O</c:mi><c:mo stretchy=\"false\">(</c:mo><c:mi>d</c:mi><c:mo>,</c:mo><c:mi>d</c:mi><c:mo stretchy=\"false\">)</c:mo></c:math> symmetry. This symmetry, which is closely related to <g:math xmlns:g=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><g:mi>T</g:mi></g:math> duality, appears only after certain field redefinitions. We find a simple form for a subset of these redefinitions at order <i:math xmlns:i=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><i:msup><i:mrow><i:mi>α</i:mi></i:mrow><i:mrow><i:mo>′</i:mo><i:mn>3</i:mn></i:mrow></i:msup></i:math> and show that they cannot be lifted to ten dimensions. This is inconsistent with “manifestly <k:math xmlns:k=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><k:mi>T</k:mi></k:math> duality invariant” approaches such as generalized geometry (in the uncompactified setting). Such formulations therefore seem not to be the correct language to describe string theory. <jats:supplementary-material> <jats:copyright-statement>Published by the American Physical Society</jats:copyright-statement> <jats:copyright-year>2025</jats:copyright-year> </jats:permissions> </jats:supplementary-material>","PeriodicalId":20167,"journal":{"name":"Physical Review D","volume":"36 1","pages":""},"PeriodicalIF":5.0000,"publicationDate":"2025-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physical Review D","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1103/physrevd.111.l061904","RegionNum":2,"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
When reduced from 10 to 10−d dimensions tree-level string theory exhibits an O(d,d) symmetry. This symmetry, which is closely related to T duality, appears only after certain field redefinitions. We find a simple form for a subset of these redefinitions at order α′3 and show that they cannot be lifted to ten dimensions. This is inconsistent with “manifestly T duality invariant” approaches such as generalized geometry (in the uncompactified setting). Such formulations therefore seem not to be the correct language to describe string theory. Published by the American Physical Society2025
期刊介绍:
Physical Review D (PRD) is a leading journal in elementary particle physics, field theory, gravitation, and cosmology and is one of the top-cited journals in high-energy physics.
PRD covers experimental and theoretical results in all aspects of particle physics, field theory, gravitation and cosmology, including:
Particle physics experiments,
Electroweak interactions,
Strong interactions,
Lattice field theories, lattice QCD,
Beyond the standard model physics,
Phenomenological aspects of field theory, general methods,
Gravity, cosmology, cosmic rays,
Astrophysics and astroparticle physics,
General relativity,
Formal aspects of field theory, field theory in curved space,
String theory, quantum gravity, gauge/gravity duality.