S-duality of S-matrix

Abstract

Recently, it has been observed that the kinematic factor of the disk-level S-matrix element of two RR two-forms and the disk-level S-matrix element of two B-fields on the world volume of D${}_3$-brane are compatible with the standard rules of S-duality. Inspired by this observation, we speculate that the S-matrix elements on the world volume of D${}_3$-brane are invariant under the $SL(2,Z)$ transformation. Compatibility with S-duality requires the S-matrix elements on the world volume of D${}_1$-brane and D${}_5$-brane to be extended to the $SL(2,Z)$-covariant form. In particular, this implies the S-matrix elements on the world volume of F${}_1$-string and NS${}_5$-brane at strong coupling to be related by S-duality to the disk-level S-matrix elements of D${}_1$-string and D${}_5$-brane, respectively. %The S-matrix elements then dictate that both F${}_1$-string and NS${}_5$-brane have D${}_1$-string excitations. The contact terms of these S-matrix elements at order $O({\alpha }^{\prime 0})$ produce a Born-Infeld and Chern-Simons type effective action for both F${}_1$-string and NS${}_5$-brane. They are consistent with the $SL(2,R)$-covariant action appears in the literature.

20 pages, Latex file, no figure; v5: the version appears in JHEP

References in corpus (1)

• Ramond-Ramond field strength couplings on D-branes

Cited by in corpus (18)

• NS-branes, source corrected Bianchi identities, and more on backgrounds with non-geometric fluxes
• Duality constraints on effective actions
• T-duality of the Riemann curvature corrections to supergravity
• Ricci curvature corrections to type II supergravity
• S-matrix elements from T-duality
• On duality symmetry in perturbative quantum theory
• On S-duality of D${}_3$-brane S-matrix
• Ramond-Ramond corrections to type II supergravity at order ${\alpha }^{\prime 3}$
• S-duality of tree-level S-matrix elements in D${}_3$-brane effective action
• Ramond-Ramond S-matrix elements from T-dual Ward identity
• Tree-level S-matrix elements from S-duality
• An off-shell D-brane action at order ${\alpha }^{\prime 2}$ in flat spacetime
• Higher derivative corrections to WZ action: One RR, one NSNS and one NS couplings
• S-duality constraint on higher-derivative couplings
• S-duality of color-ordered amplitudes
• T-duality of ${\alpha }^{\prime }$-correction to DBI action at all orders of gauge field
• Light cone quantization and interactions of a new closed bosonic string inspired to D1 string
• S-matrix element of two R-R and one NS states