Article

# Topological Holography

Physical Review D (Impact Factor: 4.69). 12/1998; DOI: 10.1103/PhysRevD.60.061501

Source: arXiv

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**ABSTRACT:**A new topological conformal field theory in four Euclidean dimensions is constructed from N=4 super Yang-Mills theory by twisting the whole of the conformal group with the whole of the R-symmetry group, resulting in a theory that is conformally invariant and has two conformally invariant BRST operators. A curved space generalisation is found on any Riemannian 4-fold. This formulation has local Weyl invariance and two Weyl-invariant BRST symmetries, with an action and energy-momentum tensor that are BRST-exact. This theory is expected to have a holographic dual in 5-dimensional de Sitter space. Comment: 34 pages, AMSTex, Reference addedJournal of High Energy Physics 11/2001; · 5.62 Impact Factor - [Show abstract] [Hide abstract]

**ABSTRACT:**The simplest models describing spinning particles with rigidity, both massive and massless, are reconsidered. The moduli spaces of solutions are completely exhibited in backgrounds with constant curvature. While spinning massive particles can evolve fully along helices in any three-dimensional background, spinning massless particles need anti De Sitter background to be consistent.The main machinery used to determine those moduli in AdS 3 is provided by a pair of natural Hopf mappings. Therefore, Hopf tubes, B-scrolls and specially the Hopf tube constructed on a horocycle in the hyperbolic plane, play a principal role in this program.General Relativity and Gravitation 05/2002; 34(6):837-852. · 1.90 Impact Factor -
##### Article: Bibliography of Publications related to Classical Self-dual variables and Loop Quantum Gravity

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**ABSTRACT:**This bibliography attempts to give a comprehensive overview of all the literature related to what is known as the Ashtekar-Sen connection and the Rovelli-Smolin loop variables, from which the program currently known as Loop Quantum Gravity emerged. The original version was compiled by Peter Huebner in 1989, and it has been subsequently updated by Gabriela Gonzalez, Bernd Bruegmann, Monica Pierri, Troy Schilling, Christopher Beetle, Alejandro Corichi and Alberto Hauser. The criteria for inclusion in this list are the following: A paper in the classical theory is included if it deals with connection variables for gravity. If the paper is in the quantum domain, it is included when it is related directly with gravity using connection/loop variables, with mathematical aspects of connections, or when it introduces techniques that might be useful for the construction of the (loop) quantum theory of gravity. Information about additional literature, new preprints, and especially corrections are always welcome.10/2005;

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