TY - JOUR

T1 - N = 4 superparticle and super-Yang-Mills theory in USp (4) harmonic superspace

AU - Buchbinder, I. L.

AU - Lechtenfeld, O.

AU - Samsonov, I. B.

N1 - Funding Information: The authors are grateful to E.A. Ivanov, N.G. Pletnev and D.P. Sorokin for stimulating discussions. The present work is supported particularly by INTAS grant, project No. 05-1000008-7928, by RFBR grants, projects Nos. 06-02-16346 and 08-02-90490, by DFG grant, project No. 436 RUS/113/669/0-3 and grant for LRSS, project No. 2553.2008.2. I.B.S. acknowledges the support from INTAS grant, project No. 06-1000016-6108. Copyright: Copyright 2008 Elsevier B.V., All rights reserved.

PY - 2008/10/11

Y1 - 2008/10/11

N2 - We study the N = 4 harmonic superparticle model, both with and without central charge and quantize it. Since the central charge breaks the U (4) R-symmetry group of the N = 4 superalgebra down to USp (4), we consider the superparticle dynamics in N = 4 harmonic superspace with USp (4) / (U (1) × U (1)) harmonic variables. We show that the quantization of a massive superparticle with central charge leads to a superfield realization of the N = 4 massive vector multiplet in N = 4 harmonic superspace. In the massless case without central charge the superparticle quantization reproduces three different multiplets: the N = 4 SYM multiplet, the N = 4 gravitino multiplet and N = 4 supergravity multiplet. The SYM multiplet is described by six analytic superfield strengths with different types of analyticity. We show that these strengths solve the N = 4 SYM constraints and can be used for the construction of actions in N = 4 harmonic superspace.

AB - We study the N = 4 harmonic superparticle model, both with and without central charge and quantize it. Since the central charge breaks the U (4) R-symmetry group of the N = 4 superalgebra down to USp (4), we consider the superparticle dynamics in N = 4 harmonic superspace with USp (4) / (U (1) × U (1)) harmonic variables. We show that the quantization of a massive superparticle with central charge leads to a superfield realization of the N = 4 massive vector multiplet in N = 4 harmonic superspace. In the massless case without central charge the superparticle quantization reproduces three different multiplets: the N = 4 SYM multiplet, the N = 4 gravitino multiplet and N = 4 supergravity multiplet. The SYM multiplet is described by six analytic superfield strengths with different types of analyticity. We show that these strengths solve the N = 4 SYM constraints and can be used for the construction of actions in N = 4 harmonic superspace.

UR - http://www.scopus.com/inward/record.url?scp=46049114257&partnerID=8YFLogxK

U2 - 10.1016/j.nuclphysb.2008.05.015

DO - 10.1016/j.nuclphysb.2008.05.015

M3 - Article

AN - SCOPUS:46049114257

VL - 802

SP - 208

EP - 246

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

IS - 1-2

ER -