Haggi-Mani, Parviz; Lindström, Ulf; Zabzine, Maxim Boundary conditions, supersymmetry and \(A\)-field coupling for an open string in a \(B\)-field background. (English) Zbl 1031.81610 Phys. Lett., B 483, No. 4, 443-450 (2000). Summary: We discuss the nonlinear sigma model representing a NSR open string in a curved background with non-zero \(B_{\mu\nu}\)-field. With this coupling the theory is not automatically supersymmetric, due to boundary contributions. When \(B=0\) supersymmetry is ensured by the conditions that follow as the boundary contribution to the field equations. We show that inclusion of a particular boundary term restores this state of affairs also in the presence of a \(B\)-field. The boundary conditions derived from the field equations in this case agree with those that have been proposed for constant \(B\)-field. A coupling to a boundary \(A_{\mu}\)-field will modify both the boundary conditions and affect the supersymmetry. It is shown that there is an \(A\)-coupling with non-standard fermionic part that respects both the supersymmetry and the shift symmetry (in the \(B\) and \(A\) fields), modulo the (modified) boundary conditions. Cited in 11 Documents MSC: 81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory 81T60 Supersymmetric field theories in quantum mechanics 81T20 Quantum field theory on curved space or space-time backgrounds × Cite Format Result Cite Review PDF Full Text: DOI arXiv References: [1] A. Connes, M.R. Douglas, A. Schwarz, Noncommutative geometry and matrix theory: Compactification on tori, JHEP 9802 (1998) 003, hep-th/9711162.; A. Connes, M.R. Douglas, A. Schwarz, Noncommutative geometry and matrix theory: Compactification on tori, JHEP 9802 (1998) 003, hep-th/9711162. · Zbl 1018.81052 [2] Chu, C.; Ho, P., Nucl. Phys. B, 550, 151 (1999), hep-th/9812219 [3] Seiberg, N.; Witten, E., JHEP, 09, 032 (1999), hep-th/9908142 [4] Schomerus, V., JHEP, 06, 030 (1999), hep-th/9903205 [5] C. Chu, P. Ho, Constrained quantization of open string in background B field and noncommutative D-brane, hep-th/9906192.; C. Chu, P. Ho, Constrained quantization of open string in background B field and noncommutative D-brane, hep-th/9906192. · Zbl 0951.81093 [6] M.B. Green, J.H. Schwarz, E. Witten, Superstring Theory, vol. 1: Introduction, Cambridge, UK: Univ. Press., 1987, p. 469 P. Cambridge Monographs On Mathematical Physics.; M.B. Green, J.H. Schwarz, E. Witten, Superstring Theory, vol. 1: Introduction, Cambridge, UK: Univ. Press., 1987, p. 469 P. Cambridge Monographs On Mathematical Physics. · Zbl 0619.53002 [7] Callan, C. G.; Lovelace, C.; Nappi, C. R.; Yost, S. A., Nucl. Phys. B, 308, 221 (1988) [8] K. Hashimoto, Generalized supersymmetric boundary state, hep-th/9909095.; K. Hashimoto, Generalized supersymmetric boundary state, hep-th/9909095. [9] Andreev, O.; Dorn, H., Phys. Lett. B, 476, 402 (2000), hep-th/9912070 · Zbl 1050.81694 [10] A. Fayyazuddin, M. Zabzine, A note on bosonic open strings in constant B field, to appear in Phys. Rev. D, hep-th/9911018.; A. Fayyazuddin, M. Zabzine, A note on bosonic open strings in constant B field, to appear in Phys. Rev. D, hep-th/9911018. 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. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.