Surface terms in effective action of O-plane at order ${\alpha }^{\prime 2}$

Abstract

The effective action of string theory has both bulk and boundary terms if the spacetime is an open manifold. Recently, the known classical effective action of string theory at the leading order of ${\alpha }^{\prime }$ and its corresponding boundary action have been reproduced by constraining the effective actions to be invariant under gauge transformations and under string duality transformations. In this paper, we use this idea to find the classical effective action of the O-plane and its corresponding boundary terms in type II superstring theories at order ${\alpha }^{\prime 2}$ and for NS-NS couplings. We find that these constraints fix the bulk action and its corresponding boundary terms up to one overall factor. They also produce three multiplets in the boundary action that their coefficients are independent of the bulk couplings under the string dualities.

arXiv comment37 pages, Latex file, no figure; v2:some typos corrected, it appears in EPJC

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Cited by in corpus (5)

• Loops, Local Corrections and Warping in the LVS and other Type IIB Models
• Background independence of effective actions at critical dimension
• Effective action of string theory at order ${\alpha }^{\prime }$ in the presence of boundary
• Couplings of order six in the gauge field strength and the second fundamental form on a D${}_p$-brane at order ${\alpha }^{\prime 2}$
• T-duality of D-brane versus O-plane actions