Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 208-246 |
| Number of pages | 39 |
| Journal | Nuclear Physics B |
| Volume | 802 |
| Issue number | 1-2 |
| DOIs | |
| Publication status | Published - 11 Oct 2008 |
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ASJC Scopus subject areas
- Nuclear and High Energy Physics
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N = 4 superparticle and super-Yang-Mills theory in USp (4) harmonic superspace. / Buchbinder, I. L.; Lechtenfeld, O.; Samsonov, I. B.
In: Nuclear Physics B, Vol. 802, No. 1-2, 11.10.2008, p. 208-246.Research output: Contribution to journal › Article
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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.
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.
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U2 - 10.1016/j.nuclphysb.2008.05.015
DO - 10.1016/j.nuclphysb.2008.05.015
M3 - Article
VL - 802
SP - 208
EP - 246
JO - Nuclear Physics B
JF - Nuclear Physics B
SN - 0550-3213
IS - 1-2
ER -