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Author

Rafael I. Nepomechie

Other affiliations: CERN, University of Chicago, University of Washington  ...read more
Bio: Rafael I. Nepomechie is an academic researcher from University of Miami. The author has contributed to research in topics: Bethe ansatz & Boundary (topology). The author has an hindex of 46, co-authored 228 publications receiving 8300 citations. Previous affiliations of Rafael I. Nepomechie include CERN & University of Chicago.


Papers
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Journal ArticleDOI
TL;DR: In this article, the authors present an overview of the achievements and the status of integrability in the context of the AdS/CFT correspondence as of the year 2010.
Abstract: This is the introductory chapter of a review collection on integrability in the context of the AdS/CFT correspondence. In the collection we present an overview of the achievements and the status of this subject as of the year 2010.

1,564 citations

Journal ArticleDOI
TL;DR: In this article, the authors present an overview of the achievements and the status of integrability in the context of the AdS/CFT correspondence as of the year 2010.
Abstract: This is the introductory chapter of a review collection on integrability in the context of the AdS/CFT correspondence. In the collection we present an overview of the achievements and the status of this subject as of the year 2010.

350 citations

Journal ArticleDOI
TL;DR: The connection between gauge invariance, masslessness, and null cone propagation is a flat space property which does not persist even in constant curvature geometries as discussed by the authors, and it is shown that both the gauge invariant spin 3 2 and 2 fields in anti-de Sitter space have support inside the cone, whereas where are conformally invariant, but gauge variant, models which do propagate on the light cone.

344 citations

Journal ArticleDOI
TL;DR: In this paper, the integrable open XX quantum spin chain with non-diagonal boundary terms was considered and an exact inversion identity was derived, by which the eigenvalues of the transfer matrix and the Bethe ansatz equations were obtained.
Abstract: We consider the integrable open XX quantum spin chain with non-diagonal boundary terms. We derive an exact inversion identity, by which we obtain the eigenvalues of the transfer matrix and the Bethe ansatz equations. For generic values of the boundary parameters, the Bethe ansatz solution is formulated in terms of the Jacobian elliptic functions.

224 citations

Journal ArticleDOI
TL;DR: In this article, the authors extend Sklyanin's formalism for constructing integrable open spin chains to the case of non-symmetric (PT-invariant) R-matrices.
Abstract: The authors extend Sklyanin's formalism for constructing integrable open spin chains to the case of 'non-symmetric' (PT-invariant) R-matrices. They use this formalism to show that the Hamiltonian of an integrable open chain is invariant under gauge transformations of the R-matrix.

200 citations


Cited by
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Journal ArticleDOI
TL;DR: In this article, it was shown that the Kaluza-Klein modes of Type IIB supergravity on $AdS_5\times {\bf S}^5$ match with the chiral operators of the super Yang-Mills theory in four dimensions.
Abstract: Recently, it has been proposed by Maldacena that large $N$ limits of certain conformal field theories in $d$ dimensions can be described in terms of supergravity (and string theory) on the product of $d+1$-dimensional $AdS$ space with a compact manifold. Here we elaborate on this idea and propose a precise correspondence between conformal field theory observables and those of supergravity: correlation functions in conformal field theory are given by the dependence of the supergravity action on the asymptotic behavior at infinity. In particular, dimensions of operators in conformal field theory are given by masses of particles in supergravity. As quantitative confirmation of this correspondence, we note that the Kaluza-Klein modes of Type IIB supergravity on $AdS_5\times {\bf S}^5$ match with the chiral operators of ${\cal N}=4$ super Yang-Mills theory in four dimensions. With some further assumptions, one can deduce a Hamiltonian version of the correspondence and show that the ${\cal N}=4$ theory has a large $N$ phase transition related to the thermodynamics of $AdS$ black holes.

14,084 citations

Posted Content
TL;DR: In this article, a correspondence between conformal field theory observables and those of supergravity was proposed, where correlation functions in conformal fields are given by the dependence of the supergravity action on the asymptotic behavior at infinity.
Abstract: Recently, it has been proposed by Maldacena that large $N$ limits of certain conformal field theories in $d$ dimensions can be described in terms of supergravity (and string theory) on the product of $d+1$-dimensional $AdS$ space with a compact manifold. Here we elaborate on this idea and propose a precise correspondence between conformal field theory observables and those of supergravity: correlation functions in conformal field theory are given by the dependence of the supergravity action on the asymptotic behavior at infinity. In particular, dimensions of operators in conformal field theory are given by masses of particles in supergravity. As quantitative confirmation of this correspondence, we note that the Kaluza-Klein modes of Type IIB supergravity on $AdS_5\times {\bf S}^5$ match with the chiral operators of $\N=4$ super Yang-Mills theory in four dimensions. With some further assumptions, one can deduce a Hamiltonian version of the correspondence and show that the $\N=4$ theory has a large $N$ phase transition related to the thermodynamics of $AdS$ black holes.

8,751 citations

Journal ArticleDOI
TL;DR: Extended Theories of Gravity as discussed by the authors can be considered as a new paradigm to cure shortcomings of General Relativity at infrared and ultraviolet scales, which is an approach that, by preserving the undoubtedly positive results of Einstein's theory, is aimed to address conceptual and experimental problems recently emerged in astrophysics, cosmology and High Energy Physics.

2,776 citations

Journal ArticleDOI
TL;DR: In this paper, a new family of solutions were found which describe spinning black holes in higher dimensional space-times, which are similar to the familiar Kerr and Schwarzschild metrics which are recovered for N = 3.

2,190 citations

Journal ArticleDOI
TL;DR: In this article, it was shown that the effective action for type II string theory compactified on a six-torus is N = 8 supergravity, which is known to have an E7 duality symmetry.

2,038 citations