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Tensionless String in the Notoph Background

Kost' Ilienko·Aleksandr Zheltukhin
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Abstract

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 ϕof 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.

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Kost' Ilienko, Aleksandr Zheltukhin. 1999-08-27. Tensionless String in the Notoph Background. https://doi.org/10.1088/0264-9381%2F16%2F2%2F005

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