In our continued efforts of matching full string computations with the corresponding effective field theory computations, we evaluate string theory correlators in closed forms. In particular, we consider a correlator between three SYM vertex operators and one Ramond-Ramond $C$-field vertex operator: $$. We show that the infinite number of massless poles of this amplitude can be reproduced by the Born-Infeld action, the Wess-Zumino terms, and their higher derivative corrections. More specifically we find, up to an on-shell ambiguity, two scalar field and two gauge field couplings to all orders in $\alpha'$ such that the infinite number of massless poles of the field theory amplitude exactly match the infinite number of massless poles of S-matrix elements of $$. We comment on close intertwinedness of an open string and a closed string that must be behind the matching.Comment: 23 pages, no figure, some references added and the version appears in PR

We propose a new Kaluza-Klein reduction scheme based on ADM decomposition. The scheme has been motivated by AdS/CFT, especially by how the worldvolume theory should appear from the supergravity side. We apply the scheme to IIB supergravity reduced on a 5D hyperboloidal H 5 space, and show that an (A)dS "braneworld" is be realized after further reduction to 4D. We comment on applications to cosmology and black hole physics. In particular, the scheme should provide a proper paradigm for black hole physics.

Extending the renormalizability proposal of the physical sector of 4D Einstein gravity, we have recently proposed renormalizability of the 3D physical sector of gravitymatter systems. The main goal of the present work is to conduct systematic one-loop renormalization of a gravitymatter system by applying our foliation-based quantization scheme. In this work we explicitly carry out renormalization of a gravity-scalar system with a Higgs-type potential. With the fluctuation part of the scalar field gauged away, the system becomes renormalizable through a metric field redefinition. We use dimensional regularization throughout. One of the salient aspects of our analysis is how the graviton propagator acquires the "mass" term. One-loop calculations lead to renormalization of the cosmological and Newton constants. We discuss other implications of our results as well: timevarying vacuum energy density and masses of the elementary particles as well as the potential relevance of Neumann boundary condition for black hole information.

When the bulk spacetime has a foliation structure, the collective dynamics of the hypersurfaces should reveal certain aspects of the bulk physics. The procedure of reducing the bulk to a hypersurface, called ADM reduction, was implemented in [3] where the 4D Einstein-Hilbert action was reduced along the radial reduction. In this work, reduction along the angular directions is considered with a main goal to firmly establish the method of dimensional reduction to a hypersurface of foliation. We obtain a theory on a 2D plane (the (t, r)-plane) and observe that novel and elaborate boundary effects are crucial for the consistency of the reduction. The reduction leads to a 2D interacting quantum field theory. We comment on its application to black hole information physics.