199,851 research outputs found
Dualities, Twists, and Gauge Theories with Non-Constant Non-Commutativity
We study the world volume theory of D3-branes wrapping the Melvin universe
supported by background NSNS B-field. In the appropriate decoupling limit, the
open string dynamics is that of non-commutative guage field theory with
non-constant non-commutativity. We identify this model as a simple Melvin twist
of flat D3 branes. Along similar lines, one recognizes the model of Hashimoto
and Sethi as being the Melvin null twist, and the model of Dolan and Nappi as
being the null Melvin twist, of the flat D3-brane. This construction therefore
offers a unified perspective on most of the known explicit constructions of
non-commutative gauge theories as a decoupled theory of D-branes in a B-field
background. We also describe the world volume theory on the D3-brane in Melvin
universe which is decaying via the nucleation of monopole anti-monopole pair.Comment: 18 pages, 1 figure, References added, typo correcte
Melvin Twists of global AdS_5 \times S_5 and their Non-Commutative Field Theory Dual
We consider the Melvin Twist of AdS_5 \times S_5 under U(1) \times U(1)
isometry of the boundary S_3 of the global AdS_5 geometry and identify its
field theory dual. We also study the thermodynamics of the Melvin deformed
theory.Comment: 17 pages, references adde
Cylindrically-Symmetric Solutions in Conformal Gravity
Cylindrically-symmetric solutions in Conformal Gravity are investigated and
several new solutions are presented and discussed. Among them, a family of
vacuum solutions, generalizations of the Melvin solution and cosmic strings of
the Abelian Higgs model. The Melvin-like solutions have finite energy per unit
length, while the string-like solutions do not.Comment: 22 pages, revised version, accepted for publication in Phys. Rev.
Ultrarelativistic black hole in an external electromagnetic field and gravitational waves in the Melvin universe
We investigate the ultrarelativistic boost of a Schwarzschild black hole
immersed in an external electromagnetic field, described by an exact solution
of the Einstein-Maxwell equations found by Ernst (the ``Schwarzschild-Melvin''
metric). Following the classical method of Aichelburg and Sexl, the
gravitational field generated by a black hole moving ``with the speed of
light'' and the transformed electromagnetic field are determined. The
corresponding exact solution describes an impulsive gravitational wave
propagating in the static, cylindrically symmetric, electrovac universe of
Melvin, and for a vanishing electromagnetic field it reduces to the well known
Aichelburg-Sexl pp-wave. In the boosting process, the original Petrov type I of
the Schwarzschild-Melvin solution simplifies to the type II on the impulse, and
to the type D elsewhere. The geometry of the wave front is studied, in
particular its non-constant Gauss curvature. In addition, a more general class
of impulsive waves in the Melvin universe is constructed by means of a
six-dimensional embedding formalism adapted to the background. A coordinate
system is also presented in which all the impulsive metrics take a continuous
form. Finally, it is shown that these solutions are a limiting case of a family
of exact gravitational waves with an arbitrary profile. This family is
identified with a solution previously found by Garfinkle and Melvin. We thus
complement their analysis, in particular demonstrating that such spacetimes are
of type II and belong to the Kundt class.Comment: 11 pages, REVTeX
Melvin solution with a dilaton potential
We find new Melvin-like solutions in Einstein-Maxwell-dilaton gravity with a
Liouville-type dilaton potential. The properties of the corresponding solution
in Freedman-Schwarz gauged supergravity model are extensively studied. We show
that this configuration is regular and geodesically complete but do not
preserve any supersymmetry. An exact solution describing travelling waves in
this Melvin-type background is also presented.Comment: 12 pages, LaTeX, no figure
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