Manifest supersymmetry in non-commutative geometry
Author(s) -
ChongSun Chu,
Frederic Zamora
Publication year - 2000
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 - 10.1088/1126-6708/2000/02/022
Subject(s) - superspace , superstring theory , supersymmetry , commutative property , formalism (music) , supersymmetry algebra , d term , physics , brane , superfield , gauge theory , mathematical physics , theoretical physics , mathematics , pure mathematics , supergravity , art , musical , visual arts
We consider the open superstring ending on a D-brane in the presence of aconstant NS-NS B field, using the Green-Schwarz formalism. Quantizing in thelight-cone gauge, we find that the anti-commutation relations for the fermionicvariables of superspace remain unmodified. We also derive the unbrokensupersymmetry algebra living on the D-brane. This establishes how the Moyalproduct is extended in a superspace formulation of non-commutative fieldtheories. The superfield formulation of non-commutative supersymmetric fieldtheories is briefly considered.Comment: LaTex file, 18 pages; v2, references adde
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