Zobrazeno 1 - 10
of 132
pro vyhledávání: '"Dolan F"'
Autor:
Dolan, F. A., Osborn, H.
Further results for conformal partial waves for four point functions for conformal primary scalar fields in conformally invariant theories are obtained. They are defined as eigenfunctions of the differential Casimir operators for the conformal group
Externí odkaz:
http://arxiv.org/abs/1108.6194
Publikováno v:
Phys.Lett.B704:234-241,2011
An exact formula for partition functions in 3d field theories was recently suggested by Jafferis, and Hama, Hosomichi, and Lee. These functions are expressed in terms of specific $q$-hypergeometric integrals whose key building block is the double sin
Externí odkaz:
http://arxiv.org/abs/1104.1787
Autor:
Dolan, F. A.
Publikováno v:
J.Math.Phys.51:022301,2010
Possible short and semi-short positive energy, unitary representations of the Osp(2N|4) superconformal group in three dimensions are discussed. Corresponding character formulae are obtained, consistent with character formulae for the SO(3,2) conforma
Externí odkaz:
http://arxiv.org/abs/0811.2740
Autor:
Dolan, F. A., Osborn, H.
Publikováno v:
Nucl.Phys.B818:137-178,2009
The results of Romelsberger for a N=1 superconformal index counting protected operators, satisfying a BPS condition and which cannot be combined to form long multiplets, are analysed further. The index is expressible in terms of single particle super
Externí odkaz:
http://arxiv.org/abs/0801.4947
Autor:
Dolan, F. A.
Publikováno v:
Nucl.Phys.B790:432-464,2008
The free field partition function for a generic U(N) gauge theory, where the fundamental fields transform in the adjoint representation, is analysed in terms of symmetric polynomial techniques. It is shown by these means how this is related to the cy
Externí odkaz:
http://arxiv.org/abs/0704.1038
Publikováno v:
Nucl.Phys.B767:163-226,2007
Character formulae for positive energy unitary representations of the N=4 superconformal group are obtained through use of reduced Verma modules and Weyl group symmetry. Expansions of these are given which determine the particular representations pre
Externí odkaz:
http://arxiv.org/abs/hep-th/0609179
Publikováno v:
Nucl.Phys.B749:109-152,2006
An expression for the four point function for half-BPS operators belonging to the [0,p,0] SU(4) representation in N=4 superconformal theories at strong coupling in the large N limit is suggested for any p. It is expressed in terms of the four point i
Externí odkaz:
http://arxiv.org/abs/hep-th/0601148
Autor:
Dolan, F. A.
Publikováno v:
J.Math.Phys. 47 (2006) 062303
A discussion of character formulae for positive energy unitary irreducible representations of the the conformal group is given, employing Verma modules and Weyl group reflections. Product formulae for various conformal group representations are found
Externí odkaz:
http://arxiv.org/abs/hep-th/0508031
Autor:
Dolan, F. A., Osborn, H.
Publikováno v:
Annals Phys. 321 (2006) 581-626
The conformal partial wave analysis of four point functions of half BPS operators belonging to the SU(4) [0,p,0] representation is undertaken for p=2,3,4. Using the results of N=4 superconformal Ward identities the contributions from protected short
Externí odkaz:
http://arxiv.org/abs/hep-th/0412335
Autor:
Dolan, F. A., Osborn, H.
Publikováno v:
Nucl.Phys. B678 (2004) 491-507
By solving the two variable differential equations which arise from finding the eigenfunctions for the Casimir operator for $O(d,2)$ succinct expressions are found for the functions, conformal partial waves, representing the contribution of an operat
Externí odkaz:
http://arxiv.org/abs/hep-th/0309180