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10D N=1 MASSLESS BPS SUPERMULTIPLETS

H. MKRTCHYAN

Theory Department, Yerevan Physics Institute, Br. Alikhanian Str., 2, Yerevan, 375036, Armenia

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and

R. MKRTCHYAN

Theory Department, Yerevan Physics Institute, Br. Alikhanian Str., 2, Yerevan, 375036, Armenia

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https://doi.org/10.1142/S0217732304013817Cited by:1 (Source: Crossref)

Abstract

We consider d=10, N=1 supersymmetry algebra with maximal number of tensor charges Z and introduce a class of orbits of Z, invariant w.r.t. the T₈ subgroup of massless particles' little group T₈⋉SO(8). For that class of orbits we classify all possible orbits and little groups, which appear to be semidirect products T₈⋉SO(k₁)×⋯×SO(k_n), with k₁+⋯+k_n=8, where compact factor is embedded into SO(8) by triality map. We define actions of little groups on supercharge Q and construct corresponding supermultiplets. In some particular cases we show the existence of supermultiplets with both Fermi and Bose sectors consisting of the same representations of tensorial Poincaré. In addition, complete classification of supermultiplets (not restricted to T₈-invariant orbits) with rank-2 matrix of supersymmetry charges anticommutator, is given.

Keywords:

PACS: 11.25.-w, 11.30.Pb, 11.25.Yb, 11.10.Kk

References

J. A. de Azcarragaet al., Phys. Rev. Lett. 63, 2443 (1989). Crossref, Web of Science, ADS, Google Scholar
C. Chryssomalakos, J. A. de Azcarraga, J. M. Izquierdo and J. C. Perez Bueno, Nucl. Phys. B567, 293 (2000); J. A. de Azcarraga and J. M. Izquierdo, Superalgebra cohomology, the geometry of extended superspaces and superbranes, hep-th/0105125, lecture delivered at the XXXVII Karpacz Winter School on New Developments in Fundamental Interaction Theories, 6–15 February, 2001, Karpacz, Poland . Google Scholar
I. Bandos and J. Lukierski, Mod. Phys. Lett. A14, 1257 (1999); I. Bandos, J. Lukierski and D. Sorokin, Phys. Rev. D61, 045002 (2000) . Google Scholar
M. A. Vasiliev, Phys. Rev. D66, 066006 (2002); M. A.Vasiliev, Relativity, causality, locality, quantization and duality in the Sp(2M) invariant generalized space-time, contribution to the Marinov's Memorial Volume, eds. M. Olshanetsky and A. Vainshtein (World Scientific) . Google Scholar
R. Manvelyan and R. Mkrtchyan , Mod. Phys. Lett. A 15 , 747 . Link, Web of Science, ADS, Google Scholar
P. K. Townsend, M-theory from its superalgebra, hep-th/9712004 . Google Scholar
I. A. Bandoset al., Phys. Rev. Lett. 86, 4451 (2001), DOI: 10.1103/PhysRevLett.86.4451. Crossref, Web of Science, ADS, Google Scholar
J. P. Gauntlett and C. M. Hull, JHEP 0001, 004 (2000); J. P. Gauntlett, G. W. Gibbons, C. M. Hull and P. K. Townsend, Commun. Math. Phys. 216, 431 (2001) . Google Scholar
H. Mkrtchyan, Little groups of branes at (1+9)d, report at Young Scientists Conference, Yerevan, 2003, Izvestia NAN, in press . Google Scholar
R. Mkrtchyan, Little groups and statistics of branes, hep-th/0209040 . Google Scholar
R. Mkrtchyan, Phys. Lett. B 558, 205 (2003). Crossref, Web of Science, ADS, Google Scholar
H. Mkrtchyan and R. Mkrtchyan , Mod. Phys. Lett. A 18 , 2665 . Link, Web of Science, ADS, Google Scholar
M. Flato, C. Fronsdal and D. Sternheimer, Singleton physics, hep-th/9901043 . Google Scholar
E. Wigner, Ann. Math. 40, 149 (1939), DOI: 10.2307/1968551. Crossref, Web of Science, ADS, Google Scholar
M. B. Green , J. H. Schwartz and E. Witten , Superstring Theory ( Cambridge Univ. Press , 1987 ) . Google Scholar
H. Mkrtchyan and R. Mkrtchyan, in preparation . Google Scholar
N. A. Obers and B. Pioline, Phys. Rep. 318, 113 (1999), DOI: 10.1016/S0370-1573(99)00004-6. Crossref, Web of Science, ADS, Google Scholar
P. West, Phys. Lett. B 575, 333 (2003). Crossref, Web of Science, ADS, Google Scholar