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An SL(2,ℝ)‐covariant, first order, κ‐supersymmetric action for the D 5‐brane
Author(s) -
Fré P.,
Modesto L.
Publication year - 2005
Publication title -
fortschritte der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.469
H-Index - 71
eISSN - 1521-3978
pISSN - 0015-8208
DOI - 10.1002/prop.200410195
Subject(s) - covariant transformation , supergravity , brane , mathematical physics , physics , action (physics) , gauge theory , dual (grammatical number) , order (exchange) , formalism (music) , differential form , supersymmetry , mathematics , theoretical physics , pure mathematics , quantum mechanics , philosophy , economics , art , musical , linguistics , visual arts , finance
The new first order, rheonomic, κ–supersymmetric formalism recently introduced by us for the world‐volume action of the D 3 brane is extended to the case of D 5 branes. This extension requires the dual formulation of the Free Differential Algebra of type IIB supergravity in terms of 6–form gauge potentials which was so far missing and is given here. Furthermore relying on our new approach we are able to write the D 5 world volume action in a manifestly SL(2,ℝ) covariant form. This is important in order to solve the outstanding problem of finding the appropriate boundary actions of D 3–branes on smooth ALE manifolds with twisted fields. The application of our results to this problem is however postponed to a subsequent publication.