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Pure Spinors in AdS and Lie Algebra Cohomology
We show that the BRST cohomology of the massless sector of the Type IIB superstring on AdS 5 × S 5 can be described as the relative cohomology of an...
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The Low Energy Limit of String Theory and its Compactifications with Background Fluxes
String theory is consistently defined in ten dimensions. In order to extract any information about four-dimensional physics, we need to understand...
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A Geometrical Interpretation of ‘Supergauge’ Transformations Using D-Differentiation
D -transport is employed to construct, within the limited setting of a non-graded manifold, a geometrical framework that yields a generalisation of...
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The Character of Pure Spinors
The character of holomorphic functions on the space of pure spinors in 10, 11 and 12 dimensions is calculated. From this character formula, we derive...
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Geometrical Lagrangian for a Supersymmetric Yang–Mills Theory on the Group Manifold
Perhaps one of the main features of Einstein's General Theory of Relativity is that spacetime is not flat itself but curved. Nowadays, however, many...
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On the Embedding of Spacetime Symmetries into Simple Superalgebras
We explore the embedding of Spin groups of arbitrary dimension and signature into simple superalgebras in the case of extended supersymmetry. The...
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General Relativity, Strings, and Mathematical Physics
We give a historical review of some aspects of string theory relevant to our present understanding of General Relativity, and connected with...
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Singletons, Physics in AdS Universe and Oscillations of Composite Neutrinos
The study starts with the kinematical aspects of singletons and massless particles. It extends to the beginning of a field theory of composite...
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Short and Long SU(2, 2/4) Multiplets in the AdS/CFT Correspondence
We analyze short and long multiplets which appear in the OPE expansion of ‘chiral’ primary operators in N=4 Super Yang–Mills theory. Among them,...
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‘Nonchiral’ Primary Superfields in the Add + 1/CFTd Correspondence
We consider some long multiplets describing bulk massive excitations of M-theory two-branes and IIB string three-branes which correspond to...
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Gauge Fields and Singletons of AdS2p+1
We show that p-forms on AdS2p+1 describe both singletons and massless particles. On the 2p-dimensional boundary the singleton p-form Lagrangian...
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Interacting Singletons
There is a chance that singleton fields, that in the context of strings and membranes have been regarded as topological gauge fields that can...
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Quaternionic, quaternionic Kähler, and hyper-Kähler supermanifolds
Almost quaternionic, quaternionic, hyper-Kähler, and quaternionic Kähler supermanifolds are introduced and studied.
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Geometry of standard constraints and Weil triviality in supersymmetric gauge theories
By using global geometric constructions on superfibre bundles, we provide a geometric interpretation of the standard constraints in supersymmetric...
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Super line bundles
Super line bundles over supermanifolds are introduced as natural generalizations of line bundles over smooth manifolds. Their classification in terms...
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On the structure of superfields in a field theory on a supermanifold
In view of applications to the formulation of gauge field theories on supermanifolds, we study the relation between the sheaves of functions on a...