{"title":"手性费米子形式论中的CPT对称性及其破缺","authors":"I. P-Castro, J. L. Díaz-Cruz, A. Pérez-Lorenzana","doi":"10.1103/physrevd.111.076023","DOIUrl":null,"url":null,"abstract":"In this paper, we review the fundamental aspects of N</a:mi>=</a:mo>1</a:mn></a:math> supergravity and employ the chiral formalism to describe spin-<d:math xmlns:d=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><d:mfrac><d:mn>3</d:mn><d:mn>2</d:mn></d:mfrac></d:math> fermions. Armed with this, we analyze the discrete symmetries of the graviton in the context of linearized gravity (LG) and Rarita-Schwinger (RS) fields, which include the description of the gravitino. Additionally, we highlight the advantages of the chiral formalism in classifying Lorentz and <f:math xmlns:f=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><f:mi>C</f:mi><f:mi>P</f:mi><f:mi>T</f:mi></f:math>-violating terms in RS theories, extending these models by including Lorentz-violating operators, as has been done in LG. <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":"7 1","pages":""},"PeriodicalIF":5.0000,"publicationDate":"2025-04-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"CPT symmetry and its breaking in the chiral fermion formalism\",\"authors\":\"I. P-Castro, J. L. Díaz-Cruz, A. Pérez-Lorenzana\",\"doi\":\"10.1103/physrevd.111.076023\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we review the fundamental aspects of N</a:mi>=</a:mo>1</a:mn></a:math> supergravity and employ the chiral formalism to describe spin-<d:math xmlns:d=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><d:mfrac><d:mn>3</d:mn><d:mn>2</d:mn></d:mfrac></d:math> fermions. Armed with this, we analyze the discrete symmetries of the graviton in the context of linearized gravity (LG) and Rarita-Schwinger (RS) fields, which include the description of the gravitino. Additionally, we highlight the advantages of the chiral formalism in classifying Lorentz and <f:math xmlns:f=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><f:mi>C</f:mi><f:mi>P</f:mi><f:mi>T</f:mi></f:math>-violating terms in RS theories, extending these models by including Lorentz-violating operators, as has been done in LG. <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\":\"7 1\",\"pages\":\"\"},\"PeriodicalIF\":5.0000,\"publicationDate\":\"2025-04-21\",\"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.111.076023\",\"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}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physical Review D","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1103/physrevd.111.076023","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}
CPT symmetry and its breaking in the chiral fermion formalism
In this paper, we review the fundamental aspects of N=1 supergravity and employ the chiral formalism to describe spin-32 fermions. Armed with this, we analyze the discrete symmetries of the graviton in the context of linearized gravity (LG) and Rarita-Schwinger (RS) fields, which include the description of the gravitino. Additionally, we highlight the advantages of the chiral formalism in classifying Lorentz and CPT-violating terms in RS theories, extending these models by including Lorentz-violating operators, as has been done in LG. 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.