Implications of the SO(12) gauge symmetry for grand unification
Arguments following from analyzing constraints on the currently available neutral-current data are reviewed that allow for the possible existence of a neutral boson ''lighter'' than the one encountered in the standard SU(2)/sub L/ x U(1)/sub L/+R electroweak theory. An attractive...
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| Veröffentlicht in: | Phys. Rev., D; (United States) D; (United States), 1981-04, Vol.23 (7), p.1649-1656 |
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| container_title | Phys. Rev., D; (United States) |
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| creator | Rajpoot, S. Sithikong, P. |
| description | Arguments following from analyzing constraints on the currently available neutral-current data are reviewed that allow for the possible existence of a neutral boson ''lighter'' than the one encountered in the standard SU(2)/sub L/ x U(1)/sub L/+R electroweak theory. An attractive possibility of accommodating this idea of a light boson in grand unified theories is to extend the popular SO(10) gauge symmetry to SO(12) gauge symmetry. It is explicitly shown that the 32-dimensional irreducible spinor representation of the SO(12) grand unified theory accommodates the electron family, which leads to the usual left-handed currents with strength G/sub F/, and a ''twin'' electron family which leads to right-handed currents also with strength G/sub F/, leaving no room for the muon (tau) family. |
| doi_str_mv | 10.1103/PhysRevD.23.1649 |
| format | Article |
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An attractive possibility of accommodating this idea of a light boson in grand unified theories is to extend the popular SO(10) gauge symmetry to SO(12) gauge symmetry. It is explicitly shown that the 32-dimensional irreducible spinor representation of the SO(12) grand unified theory accommodates the electron family, which leads to the usual left-handed currents with strength G/sub F/, and a ''twin'' electron family which leads to right-handed currents also with strength G/sub F/, leaving no room for the muon (tau) family.</description><identifier>ISSN: 0556-2821</identifier><identifier>DOI: 10.1103/PhysRevD.23.1649</identifier><language>eng</language><publisher>United States</publisher><subject>645400 -- High Energy Physics-- Field Theory ; BASIC INTERACTIONS ; BOSONS ; CHARGED-CURRENT INTERACTIONS ; COUPLING CONSTANTS ; ELECTROMAGNETIC INTERACTIONS ; ELECTRONS ; ELEMENTARY PARTICLES ; FERMIONS ; GAUGE INVARIANCE ; INTERACTIONS ; INVARIANCE PRINCIPLES ; LEPTONS ; LIE GROUPS ; MATHEMATICAL MODELS ; NEUTRAL-CURRENT INTERACTIONS ; P INVARIANCE ; PARTICLE INTERACTIONS ; PARTICLE MODELS ; PHYSICS OF ELEMENTARY PARTICLES AND FIELDS ; SO GROUPS ; SPINORS ; SU GROUPS ; SU-2 GROUPS ; SYMMETRY ; SYMMETRY GROUPS ; U GROUPS 645302 -- High Energy Physics-- Particle Invariance Principles & Symmetries-- Applications to Electromagnetic & Weak Interactions-- (-1987) ; U-1 GROUPS ; UNIFIED GAUGE MODELS ; WEAK INTERACTIONS</subject><ispartof>Phys. 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It is explicitly shown that the 32-dimensional irreducible spinor representation of the SO(12) grand unified theory accommodates the electron family, which leads to the usual left-handed currents with strength G/sub F/, and a ''twin'' electron family which leads to right-handed currents also with strength G/sub F/, leaving no room for the muon (tau) family.</description><subject>645400 -- High Energy Physics-- Field Theory</subject><subject>BASIC INTERACTIONS</subject><subject>BOSONS</subject><subject>CHARGED-CURRENT INTERACTIONS</subject><subject>COUPLING CONSTANTS</subject><subject>ELECTROMAGNETIC INTERACTIONS</subject><subject>ELECTRONS</subject><subject>ELEMENTARY PARTICLES</subject><subject>FERMIONS</subject><subject>GAUGE INVARIANCE</subject><subject>INTERACTIONS</subject><subject>INVARIANCE PRINCIPLES</subject><subject>LEPTONS</subject><subject>LIE GROUPS</subject><subject>MATHEMATICAL MODELS</subject><subject>NEUTRAL-CURRENT INTERACTIONS</subject><subject>P INVARIANCE</subject><subject>PARTICLE INTERACTIONS</subject><subject>PARTICLE MODELS</subject><subject>PHYSICS OF ELEMENTARY PARTICLES AND FIELDS</subject><subject>SO GROUPS</subject><subject>SPINORS</subject><subject>SU GROUPS</subject><subject>SU-2 GROUPS</subject><subject>SYMMETRY</subject><subject>SYMMETRY GROUPS</subject><subject>U GROUPS 645302 -- High Energy Physics-- Particle Invariance Principles & Symmetries-- Applications to Electromagnetic & Weak Interactions-- (-1987)</subject><subject>U-1 GROUPS</subject><subject>UNIFIED GAUGE MODELS</subject><subject>WEAK INTERACTIONS</subject><issn>0556-2821</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1981</creationdate><recordtype>article</recordtype><recordid>eNo1kD1PwzAYhD2ARCnsjBYTDAl-7cZOJoTKV6VKRXzMlrFfJ0FNUtkuUv49rVpuueXudHoIuQKWAzBx99aM8R1_H3MucpCz6oRMWFHIjJcczsh5jD9sJy7FhNwvus26tSa1Qx_p4GlqkH6sboDf0tpsa6Rx7DpMYaR-CLQOpnd027f-2Lkgp96sI14efUq-np8-56_ZcvWymD8sM8sVS5konbBCeomKM8UAnAG0zHFw3BcKva1mBReglHTcOIdOfZcedi-hUghWTMn1YXeIqdXRtgltY4e-R5u0lFDIQu5C7BCyYYgxoNeb0HYmjBqY3pPR_2Q0F3pPRvwBJFhZZQ</recordid><startdate>19810401</startdate><enddate>19810401</enddate><creator>Rajpoot, S.</creator><creator>Sithikong, P.</creator><scope>AAYXX</scope><scope>CITATION</scope><scope>OTOTI</scope></search><sort><creationdate>19810401</creationdate><title>Implications of the SO(12) gauge symmetry for grand unification</title><author>Rajpoot, S. ; Sithikong, P.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c270t-38d3c36f6e7207011da1ec0d21d2f57efc945231776d2added7b8f1000197e1c3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1981</creationdate><topic>645400 -- High Energy Physics-- Field Theory</topic><topic>BASIC INTERACTIONS</topic><topic>BOSONS</topic><topic>CHARGED-CURRENT INTERACTIONS</topic><topic>COUPLING CONSTANTS</topic><topic>ELECTROMAGNETIC INTERACTIONS</topic><topic>ELECTRONS</topic><topic>ELEMENTARY PARTICLES</topic><topic>FERMIONS</topic><topic>GAUGE INVARIANCE</topic><topic>INTERACTIONS</topic><topic>INVARIANCE PRINCIPLES</topic><topic>LEPTONS</topic><topic>LIE GROUPS</topic><topic>MATHEMATICAL MODELS</topic><topic>NEUTRAL-CURRENT INTERACTIONS</topic><topic>P INVARIANCE</topic><topic>PARTICLE INTERACTIONS</topic><topic>PARTICLE MODELS</topic><topic>PHYSICS OF ELEMENTARY PARTICLES AND FIELDS</topic><topic>SO GROUPS</topic><topic>SPINORS</topic><topic>SU GROUPS</topic><topic>SU-2 GROUPS</topic><topic>SYMMETRY</topic><topic>SYMMETRY GROUPS</topic><topic>U GROUPS 645302 -- High Energy Physics-- Particle Invariance Principles & Symmetries-- Applications to Electromagnetic & Weak Interactions-- (-1987)</topic><topic>U-1 GROUPS</topic><topic>UNIFIED GAUGE MODELS</topic><topic>WEAK INTERACTIONS</topic><toplevel>online_resources</toplevel><creatorcontrib>Rajpoot, S.</creatorcontrib><creatorcontrib>Sithikong, P.</creatorcontrib><creatorcontrib>Blackett Laboratory, Prince Consort Road, London, SW7 2BZ, England</creatorcontrib><collection>CrossRef</collection><collection>OSTI.GOV</collection><jtitle>Phys. Rev., D; (United States)</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Rajpoot, S.</au><au>Sithikong, P.</au><aucorp>Blackett Laboratory, Prince Consort Road, London, SW7 2BZ, England</aucorp><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Implications of the SO(12) gauge symmetry for grand unification</atitle><jtitle>Phys. Rev., D; (United States)</jtitle><date>1981-04-01</date><risdate>1981</risdate><volume>23</volume><issue>7</issue><spage>1649</spage><epage>1656</epage><pages>1649-1656</pages><issn>0556-2821</issn><abstract>Arguments following from analyzing constraints on the currently available neutral-current data are reviewed that allow for the possible existence of a neutral boson ''lighter'' than the one encountered in the standard SU(2)/sub L/ x U(1)/sub L/+R electroweak theory. An attractive possibility of accommodating this idea of a light boson in grand unified theories is to extend the popular SO(10) gauge symmetry to SO(12) gauge symmetry. It is explicitly shown that the 32-dimensional irreducible spinor representation of the SO(12) grand unified theory accommodates the electron family, which leads to the usual left-handed currents with strength G/sub F/, and a ''twin'' electron family which leads to right-handed currents also with strength G/sub F/, leaving no room for the muon (tau) family.</abstract><cop>United States</cop><doi>10.1103/PhysRevD.23.1649</doi><tpages>8</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0556-2821 |
| ispartof | Phys. Rev., D; (United States), 1981-04, Vol.23 (7), p.1649-1656 |
| issn | 0556-2821 |
| language | eng |
| recordid | cdi_crossref_primary_10_1103_PhysRevD_23_1649 |
| source | American Physical Society Journals |
| subjects | 645400 -- High Energy Physics-- Field Theory BASIC INTERACTIONS BOSONS CHARGED-CURRENT INTERACTIONS COUPLING CONSTANTS ELECTROMAGNETIC INTERACTIONS ELECTRONS ELEMENTARY PARTICLES FERMIONS GAUGE INVARIANCE INTERACTIONS INVARIANCE PRINCIPLES LEPTONS LIE GROUPS MATHEMATICAL MODELS NEUTRAL-CURRENT INTERACTIONS P INVARIANCE PARTICLE INTERACTIONS PARTICLE MODELS PHYSICS OF ELEMENTARY PARTICLES AND FIELDS SO GROUPS SPINORS SU GROUPS SU-2 GROUPS SYMMETRY SYMMETRY GROUPS U GROUPS 645302 -- High Energy Physics-- Particle Invariance Principles & Symmetries-- Applications to Electromagnetic & Weak Interactions-- (-1987) U-1 GROUPS UNIFIED GAUGE MODELS WEAK INTERACTIONS |
| title | Implications of the SO(12) gauge symmetry for grand unification |
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