arXiv subjects

Freydoon Mansouri

Publications and source records attributed to Freydoon Mansouri.

9 recordsLinked to original sources

arXiv2002

Non-Vanishing Cosmological Constant $Λ$, Phase Transitions, And $Λ$-Dependence Of High Energy Processes

It is pointed out that a collider experiment involves a local contribution to the energy-momentum tensor, a circumstance which not a common feature of the current state of the Universe at large characterized by the cosmological constant $Λ_0$. This contribution may be viewed as a change in the structure of space-time from its large scale form governed by $Λ_0$ to one governed by a $Λ$ peculiar to the scale of the experiment. Possible consequences of this effect are explored by exploiting the asymptotic symmetry of space-time for non-vanishing $Λ$ and its relation to vacuum energy.

hep-th↗

arXiv2000

Supersymmetric Wilson Lines and Loops, and Super Non-Abelian Stokes Theorem

We generalize the standard product integral formalism to incorporate Grassmann valued matrices and show that the resulting supersymmetric product integrals provide a natural framework for describing supersymmetric Wilson Lines and Wilson Loops. We use this formalism to establish the supersymmetric version of the non-Abelian Stokes theorem.

hep-th↗

arXiv1999

Product Integral Formalism and Non-Abelian Stokes Theorem

We make use of the properties of product integrals to obtain a surface product integral representation for the Wilson loop operator. The result can be interpreted as the non-abelian version of Stokes' theorem.

hep-th↗

arXiv1999

Rotating Charged Solutions to Einstein-Maxwell-ChernSimons Theory in 2+1 Dimensions

We obtain a class of rotating charged stationary circularly symmetric solutions of Einstein-Maxwell theory coupled to a topological mass term for the Maxwell field. These solutions are regular, have finite mass and angular momentum, and are asymptotic to the uncharged extreme BTZ black hole.

gr-qc↗

arXiv1999

Black Holes and Super Black Holes as Chern Simons Theories in 2+1 Dimensions

We study anti-de Sitter black holes in 2+1 dimensions in terms of Chern Simons gauge theory of the anti-de Sitter group coupled to a Source. Taking the source to be an anti-de Sitter state specified by its Casimir invariants, we show how all the relevant features of the black hole are accounted for. Enlarging the gauge symmetry to super AdS group, we obtain a supermultiplet of AdS black holes. We give explicit expressions for the masses and the angular momenta of the members of the multiplet.

hep-th↗

arXiv1998

Supermultiplets of AdS Black Holes in 2+1 Dimensions

We construct super AdS black holes in 2+1 dimensions in terms of Chern Simons gauge theory of N=(1,1) super AdS group coupled to a (super)source. We take the source to be a super AdS state specified by its Casimir invariants. We show that the corresponding space-time is a supermultiplet of AdS space-times related to each other by supersymmetry transformations. We give explicit expressions for the masses and the angular momenta of the black holes in a supermultiplet. With one exception, for N=(1,1) one pair of extremal black holes can be accommodated in such all-black hole supermultiplets. The requirement that the source be a unitary representation leads to a discrete tower of excited states which provide a microscopic model for the super black hole.

hep-th↗

arXiv1998

The Structure of AdS Black Holes and Chern Simons Theory in 2+1 Dimensions

We study anti-de Sitter black holes in 2+1 dimensions in terms of Chern Simons gauge theory of anti-de Sitter group coupled to a source. Taking the source to be an anti-de Sitter state specified by its Casimir invariants, we show how all the relevant features of the black hole are accounted for. The requirement that the source be a unitary representation leads to a discrete tower of states which provide a microscopic model for the black hole.

hep-th↗

arXiv1997

Exact Local Supersymmetry, Absence of Superpartners, and Noncommutative Geometries

It is pointed out that if we allow for the possibility of a multilayered universe, it is possible to maintain exact supersymmetry and arrange, in principle, for the vanishing of the cosmological constant. Superpartner(s) of a known particle will then be associated with the other layers of such a universe. A concrete model realizing this scenario is exhibited in \2 dimensions, and it is suggested that it may be realizable in 3+1 dimensions. The connection between this nonclassical geometry and noncommutative geometries is discussed.

hep-th↗

arXiv1996

The Structure of Space-Time Emerging from the Two-Superbody Problem in Chern Simons Supergravity

We show that the exact solution of the two_superbody problem in N=2 Chern Simons Supergravity in 2+1 dimensions leads to a supermultiplet of space-times. This supersymmetric space-time is characterized by the two gauge invariant observables of the super Poincare' group, which may be viewed as the Casimir invariants of an equivalent one-superbody state. The metric of this space-time supermultiplet can be cast into the form of the metric for a spinning cone in which the coordinates do not commute or for a spinning cone with an additional finite discrete dimension. Some of the interesting features of this universe and their possible physical implications are discussed in the light of a corresponding observation by Witten.

gr-qc↗