Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1999-08-27
Class.Quant.Grav. 16 (1999) 383-393
Physics
High Energy Physics
High Energy Physics - Theory
15 pages, no figures, RevTeX 3.1
Scientific paper
10.1088/0264-9381/16/2/005
We study the interaction between a tensionless (null) string and an antisymmetric background field B_{ab} using a 2-component spinor formalism. A geometric condition for the absence of such an interaction is formulated. We show that only one gauge-invariant degree of freedom of the field B_{ab} does not satisfy this condition. Identification of this degree of freedom with the notoph field \phi of Ogievetskii-Polubarinov-Kalb-Ramond is suggested. Application of a two-component spinor formalism allows us a reduction of the complete system of non-linear partial differential equations and constraints governing the interacting null string dynamics to a system of linear differential equations for the basis spinors of the spin-frame. We find that total effect of the interaction is contained in a single derivation coefficient which is identified with the notoph field.
Ilienko Kost'
Zheltukhin Aleksandr A.
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