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Generalized conformal and superconformal group actions and
, 1993
"... We study the “conformal groups ” of Jordan algebras along the lines suggested by Kantor. They provide a natural generalization of the concept of conformal transformations that leave 2angles invariant to spaces where “pangles ” (p ≥ 2) can be defined. We give an oscillator realization of the genera ..."
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Cited by 31 (14 self)
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coordinate representation of the (super)oscillators one then obtains the differential operators representing the action of these generalized (super) conformal groups on the corresponding (super) spaces. The superconformal algebras of the Jordan superalgebras in Kac’s classification is also presented.
The large N limit of superconformal field theories and supergravity
, 1998
"... We show that the large N limit of certain conformal field theories in various dimensions include in their Hilbert space a sector describing supergravity on the product of AntideSitter spacetimes, spheres and other compact manifolds. This is shown by taking some branes in the full M/string theory and ..."
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Cited by 5673 (21 self)
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in the superconformal group (as opposed to just the superPoincare group). The ’t Hooft limit of 3+1 N = 4 superYangMills at the conformal point is shown to contain strings: they are IIB strings. We conjecture that compactifications of M/string theory on various AntideSitter spacetimes is dual to various conformal
1 Nonlinear Realizations of Superconformal Groups and Spinning Particles
, 2001
"... The method of nonlinear realizations is applied for the conformally invariant description of the spinning particles in terms of geometrical quantities of the parameter spaces of the one dimensional N extended superconformal, 1 particles and describe the alternative groups. We develop the superspace ..."
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The method of nonlinear realizations is applied for the conformally invariant description of the spinning particles in terms of geometrical quantities of the parameter spaces of the one dimensional N extended superconformal, 1 particles and describe the alternative groups. We develop
KCLMTH0139 Superfield representations of superconformal groups
, 2001
"... Representations of four dimensional superconformal groups are constructed as fields on many different superspaces, including super Minkowski space, chiral superspace, harmonic superspace and analytic superspace. Any unitary irreducible representation can be given as a field on any one of these space ..."
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Representations of four dimensional superconformal groups are constructed as fields on many different superspaces, including super Minkowski space, chiral superspace, harmonic superspace and analytic superspace. Any unitary irreducible representation can be given as a field on any one
KCLMTH0139 Superfield representations of superconformal groups
, 2002
"... Representations of four dimensional superconformal groups are constructed as fields on many different superspaces, including super Minkowski space, chiral superspace, harmonic superspace and analytic superspace. Any unitary irreducible representation can be given as a field on any one of these space ..."
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Representations of four dimensional superconformal groups are constructed as fields on many different superspaces, including super Minkowski space, chiral superspace, harmonic superspace and analytic superspace. Any unitary irreducible representation can be given as a field on any one
Superconformal field theory on threebranes at a CalabiYau singularity
 Nucl. Phys. B
, 1998
"... Just as parallel threebranes on a smooth manifold are related to string theory on AdS5 × S 5, parallel threebranes near a conical singularity are related to string theory on AdS5 × X5, for a suitable X5. For the example of the conifold singularity, for which X5 = (SU(2) × SU(2))/U(1), we argue that ..."
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Cited by 690 (37 self)
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Just as parallel threebranes on a smooth manifold are related to string theory on AdS5 × S 5, parallel threebranes near a conical singularity are related to string theory on AdS5 × X5, for a suitable X5. For the example of the conifold singularity, for which X5 = (SU(2) × SU(2))/U(1), we argue that string theory on AdS5 × X5 can be described by a certain N = 1 supersymmetric gauge theory which we describe in detail.
The supersymmetric CamassaHolm equation and geodesic flow on the superconformal group
, 1998
"... We study a family of fermionic extensions of the CamassaHolm equation. Within this family we identify three interesting classes: (a) equations, which are inherently hamiltonian, describing geodesic flow with respect to an H1 metric on the group of superconformal transformations in two dimensions, ( ..."
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Cited by 8 (0 self)
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We study a family of fermionic extensions of the CamassaHolm equation. Within this family we identify three interesting classes: (a) equations, which are inherently hamiltonian, describing geodesic flow with respect to an H1 metric on the group of superconformal transformations in two dimensions
Supersymmetric integrable systems from geodesic flows on superconformal groups 1
, 2000
"... TMF 123 (2000) 182188 nlin.SI/0008017 We discuss the possible relationship between geodesic flow, integrability and supersymmetry, using fermionic extensions of the KdV equation, as well as the recently introduced supersymmetrisation of the CamassaHolm equation, as illustrative examples. 1. Mish ..."
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interpretation as geodesic flows on (finite or infinite dimensional) Lie groups. Briefly, an innerproduct 〈.,. 〉 on a Lie algebra g determines a right (or a left) invariant metric on the corresponding Lie group G. The equation of geodesic motion on G with respect to this metric is determined by the bilinear
Results 1  10
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