Manifest superconformal covariance in six-dimensional (2,0) theory
Author(s) -
Pär Arvidsson
Publication year - 2006
Publication title -
journal of high energy physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.998
H-Index - 261
eISSN - 1126-6708
pISSN - 1029-8479
DOI - 10.1088/1126-6708/2006/03/076
Subject(s) - superspace , superfield , multiplet , mathematical physics , covariant transformation , general covariance , physics , tensor (intrinsic definition) , conformal map , covariance , supersymmetry , mathematics , pure mathematics , quantum mechanics , general relativity , mathematical analysis , statistics , spectral line
A superconformal generalization of Dirac's formalism for manifest conformalcovariance is presented and applied to the free (2,0) tensor multiplet fieldtheory in six dimensions. A graded symmetric superfield, defined on a superconein a higher-dimensional superspace is introduced. This superfield transformslinearly under the transformations of the supergroup OSp(8*|4), which is thesuperconformal group of the six-dimensional (2,0) theory. We find therelationship between the new superfield and the conventional (2,0) superfieldsin six dimensions and show that the implied superconformal transformation lawsare correct. Finally, we present a manifestly conformally covariant constrainton the supercone, which reduces to the ordinary differential constraint for thesuperfields in the six-dimensional space-time.Comment: 12 pages, LaTeX. v2: minor clarification adde
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