E. Bergshoeff and E. Sezgin- Twistor-like formulation of super p-branes
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NUCLEAR PHYSICS B ELSEVIER Nuclear Physics B422 (1994) 329—345 Twistor-like formulation of super p-branes E. Bergshoeff a E . Sezgin b ,1 a Institute for Theoretical Physics, Nijenborgh 4, NL-9747AG Groning en, The Netherlands b Center for Theoretical Physics, Texas A&M University, College Station, TX 77843-4242, USA Received 27 December 1993; accepted for publication 2 3 February 1994 Abstract Closed super (p + 2)-forms in target superspace are relevant for the construction of the usual sup er p-b ran e actions. Here we con struct clos ed super ( p + 1)-forms on a world- volume superspace. They are built ou t of the pull-backs of the KaIb—Ramond super ( p + 1)-form a n d its curvature. We propose a twistor-like formulation o f a class o f super p-branes which crucially depe nds on th e existence of the se clos ed super ( p + 1)-forms. 1 . Introduction Th e manifestly spacetim e supe rsym metric form ulation of string theory a Ia Green and Schwarz has a fermionic gauge symmetry, known as the K-symmetry [1]. This symmetry is of crucial im por tance for the model, b u t also gives ri se to formidable problems in its quantization. A few years ago a geometrical under - standing of K-symmetry has emerged after the work of ref. [2]which also holds the promise of better prospects for a quantization of th e model [3]. It should be emphasized, however, that a full y covariant quantization scheme has no t yet emerged. In the simple situation of a superparticle in d = 3 dimensions, the theory was reformulated in such a wa y that the K-symmetry ca n be interp reted as an N = 1 local woridline supersy mm etiy [2]. Th e key to this formulation is the intro duc tion of twistor-like variables, A, which ar e commuting spinors arising as the superpart - ‘Supported in part b y the National Science Foundation, under grant PHY-9106593. 0550-3213/94/$07.00 © 1994 Elsevier Scien ce B.V. All rights reserved SSDI 0550-3213(94)00108-0
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8/3/2019 E. Bergshoeff and E. Sezgin- Twistor-like formulation of super p-branes
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