Electronic Resource
Springer
Communications in mathematical physics
139 (1991), S. 495-526
ISSN:
1432-0916
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
,
Physics
Notes:
Abstract A method for finding the general form of the BRS cohomology spaceH for the various gauge and supersymmetry theories is presented. The method is adapted for use in the space of integrated local polynomials of the gauge fields and ghosts with arbitrary numbers of fields and dervivatives. The technique uses the Hodge decomposition in a Fock space with a Euclidean inner product, and combines this with spectral sequences to generate simple and soluble equations whose solutions span a simple spaceE ∞ isomorphic to the complicated spaceH. The technique is illustrated for pedagogic purposes by the detailed calculation of the ghost charge zero and one sectors ofH for Yang-Mills theory with gauge groupSO (32) in ten dimensions. The method is appropriate for supersymmetric theories, gravity, supergravity and superstrings where higher order terms with many derivatives occur naturally in the effective action.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF02101877
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