×

zbMATH — the first resource for mathematics

Supersymmetric Yang-Mills equations in \(10+2\) dimensions. (English) Zbl 1017.81514
Summary: We present a model for supersymmetric Yang-Mills theory in \(10+2\) dimensions. Our construction uses a constant null vector, and leads to a consistent set of field equations and constraints. The model is invariant under generalized translations and an extra gauge transformation. Ordinary dimensional reduction to ten dimensions yields the usual supersymmetric Yang-Mills equations, while dimensional reduction to \(2+2\) yields supersymmetric Yang-Mills equations in which the Poincaré supersymmetry is reduced by a null vector. We also give the corresponding formulation in superspace.

MSC:
81T60 Supersymmetric field theories in quantum mechanics
81T13 Yang-Mills and other gauge theories in quantum field theory
PDF BibTeX XML Cite
Full Text: DOI arXiv
References:
[1] Vafa, C., Evidence for F-theory, Nucl. phys. B, 469, 403, (1996) · Zbl 1003.81531
[2] Hull, C.M., String dynamics at strong coupling · Zbl 1002.81534
[3] Tseytlin, A., Self-duality of Born-Infeld action and Dirichlet 3-brane of type IIB superstring theory, Nucl. phys. B, 469, 51, (1996) · Zbl 1002.81537
[4] Jatkar, D.P.; Rama, S.K., F-theory from Dirichlet 3-branes
[5] Blencowe, M.; Duff, M.J., Supermembranes and signature of spacetime, Nucl. phys. B, 310, 387, (1988) · Zbl 0967.83522
[6] Bars, I., S-theory
[7] Ooguri, H.; Vafa, C., N = 2 heterotic strings, Nucl. phys. B, 367, 83, (1991)
[8] Kutasov, D.; Martinec, E.; Kutasov, D.; Martinec, E.; O’Loughlin, M., Vacua of M-theory and N = 2 strings · Zbl 0925.81193
[9] Nahm, W., Supersymmetries and their representations, Nucl. phys. B, 135, 149, (1978) · Zbl 1156.81464
[10] Castellani, L.; Fré, P.; Giani, F.; Pilch, K.; van Nieuwenhuizen, P., Beyond 11-dimensional supergravity and Cartan integrable systems, Phys. rev. D, 26, 1481, (1982)
[11] Bergshoeff, E.; Sezgin, E.; Townsend, P.K., Properties of eleven dimensional supermembrane theory, Ann. phys., 185, 330, (1988)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.