673 research outputs found
Quantizing field theories in noncommutative geometry and the correspondence between anti de Sitter space and conformal field theory
By using the approach of non-commutative geometry, we study spinors and
scalars on the two layers AdS space. We have found that in the boundary
of two layers AdS space, by using the AdS/CFT correspondence, we have a
logarithmic conformal field theory. This observation propose a way to get the
quantum field theory in the context of non-commutative geometry.Comment: some minor typographical errors are corrected, to appear in Phys.
Lett.
Cosmological Solutions on Atiyah-Hitchin Space in Five Dimensional Einstein-Maxwell-Chern-Simons Theory
We construct non-stationary exact solutions to five dimensional
Einstein-Maxwell-Chern-Simons theory with positive cosmological constant. The
solutions are based on four-dimensional Atiyah-Hitchin space. In asymptotic
regions, the solutions approach to Gibbons-Perry-Sorkin monopole solutions. On
the other hand, near the four-dimensional bolt of Atiyah-Hitchin space, our
solutions show a bolt structure in five dimensions. The c-function for the
solutions shows monotonic increase in time, in agreement with the general
expected behaviour of c-function in asymptotically dS spacetimes.Comment: 12 pages, 3 figure
Gauging of Lorentz Group WZW Model by its Null Subgroup
We consider the standard vector gauging of Lorentz group WZW
model by its non-semisimple null Euclidean subgroup in two dimensions .
The resultant effective action of the theory is seen to describe a one
dimensional bosonic field in the presence of external charge that we interpret
it as a Liouville field. Gauging a boosted subgroup, we find that in
the limit of the large boost, the theory can be interpreted as an interacting
Toda theory. We also take the generalized non-standard bilinear form for
and gauge both and subgroups and discuss the
resultant theories.Comment: 11 pages, LaTeX fil
Vector-Chiral Equivalence in Null Gauged WZNW Theory
We consider the standard vector and chiral gauged WZNW models by their gauged
maximal null subgroups and show that they can be mapped to each other by a
special transformation. We give an explicit expression for the map in the case
of the classical Lie groups , , , , and note its
connection with the duality map for the Riemmanian globally symmetric spaces.Comment: 13 pages, LaTe
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