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Fully off-shell effective action and its supersymmetry in matrix theory

Y Kazama and T Muramatsu

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As a step toward clarification of the power of supersymmetry (SUSY) in matrix theory, a complete calculation, including all the spin effects, is performed of the effective action of a probe D-particle, moving along an arbitrary trajectory in interaction with a large number of coincident source D-particles, at one-loop at order four in the derivative expansion. Furthermore, exploiting the SUSY Ward identity developed previously, the quantum-corrected effective supersymmetry transformation laws are obtained explicitly to the relevant order and are used to verify the SUSY-invariance of the effective action. Assuming that the agreement with 11-dimensional supergravity persists, our result can be regarded as a prediction for the supergravity calculation, which, as yet unavailable, is known to be highly non-trivial.


PACS

11.30.Pb Supersymmetry

11.25.Yb M theory

04.65.+e Supergravity

MSC

81T60 Supersymmetric field theories

83E50 Supergravity

83E30 String and superstring theories (See also 81T30)

Subjects

Gravitation and cosmology

Particle physics and field theory

Dates

Issue 12 (21 June 2001)

Received 29 March 2001



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