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Background independence of effective actions at critical dimension
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abstract
Recently, by explicit calculations at orders $\alpha',\alpha'^2,\alpha'^3$, it has been observed that the effective action of string theory at the critical dimension is independent of the background for the closed spacetime manifolds. In this paper we speculate that for the open spacetime manifolds, the effective action is even independent of the character of the boundary, \ie the boundary couplings for timelike and spacelike boundaries are the same. We support this proposal by calculating the boundary couplings in the bosonic string theory at order $\alpha'$ for the spacelike boundary and show that they are the same as the couplings for the timelike boundary that have been recently found.
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Cited by 1 Pith paper
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Exploring types I and IIA effective actions through T-duality
T-duality between type I on S^1 and type I' on S^1/Z2 determines all leading two-derivative couplings in the untwisted sectors, reproducing standard type I and type IIA actions except the IIA Chern-Simons term.
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