704 research outputs found
Classification of BPS equations in higher dimensions
We systematically classify all possible Bogomol'nyi-Prasad-Sommerfield (BPS)
equations in Euclidean dimension . We discuss symmetries of BPS
equations and their connection with the self-dual Yang-Mills equations. Also,
we present a general method allowing to obtain the BPS equations in any
dimension. In addition, we find all BPS equations in the Minkowski space of
dimension and apply the obtained results to the supersymmetric
Yang-Mills theories. In conclusion, we discuss the possibility of using the
classification to construct soliton solutions of the low-energy effective
theory of the heterotic string.Comment: 31 pages, LaTe
Anomaly Cancellation in 2+1 dimensions in the presence of a domainwall mass
A Fermion in 2+1 dimensions, with a mass function which depends on one
spatial coordinate and passes through a zero ( a domain wall mass), is
considered. In this model, originally proposed by Callan and Harvey, the gauge
variation of the effective gauge action mainly consists of two terms. One comes
from the induced Chern-Simons term and the other from the chiral fermions,
bound to the 1+1 dimensional wall, and they are expected to cancel each other.
Though there exist arguments in favour of this, based on the possible forms of
the effective action valid far from the wall and some facts about theories of
chiral fermions in 1+1 dimensions, a complete calculation is lacking. In this
paper we present an explicit calculation of this cancellation at one loop valid
even close to the wall. We show that, integrating out the ``massive'' modes of
the theory does produce the Chern-Simons term, as appreciated previously. In
addition we show that it generates a term that softens the high energy
behaviour of the 1+1 dimensional effective chiral theory thereby resolving an
ambiguity present in a general 1+1 dimensional theory.Comment: 17 pages, LaTex file, CU-TP-61
Properties of Intersecting p-branes in Various Dimensions
General properties of intersecting extremal p-brane solutions of gravity
coupled with dilatons and several different d-form fields in arbitrary
space-time dimensions are considered. It is show that heuristically expected
properties of the intersecting p-branes follow from the explicit formulae for
solutions. In particular, harmonic superposition and S-duality hold for all
p-brane solutions. Generalized T-duality takes place under additional
restrictions on the initial theory parameters .Comment: 14 pages, RevTeX, misprints are corrected and more Comments are
added, information about one of the authors (M.G.I.) available at
http://www.geocities.com/CapeCanaveral/Lab/419
Holographic Penta and Hepta Quark State in Confining Gauge Theories
We study a new embedding solutions of D5 brane in an asymptotic
AdS space-time, which is dual to a confining gauge
theory. The D5 brane is wrapped on as in the case of the vertex of
holographic baryon. However, the solution given here is different from the
usual baryon vertex in the point that it couples to -anti-quarks and
quarks on the opposite two points of , the north and south poles,
respectively. The total quark number of this state is preserved as when
minus one is assigned to anti-quark, then it forms a color singlet like the
baryon. However, this includes anti-quarks and quarks, whose number is larger
than that of the baryon. When we set as , we find the so called penta
and hepta-quark states. We study the dynamical properties of these states by
solving the vertex and string configurations for such states. The mass spectra
of these states and the tension of the stretched vertex are estimated, and they
are compared with that of the baryon.Comment: 24 pages, 6 figure
Pseudoscalar Glueball, eta'-meson and its Excitation in the Chiral Effective Lagrangian
A generalization of the chiral effective lagrangian of order is
proposed which involves the -meson, its excitation, and the pseudoscalar
(PS) glueball. Model-independent constraints are found for the contributions to
the lagrangian of the above singlet states. Those allow one to independently
identify the nature of these singlet states in the framework of the approach.
The mixing among the iso-singlet states (including -state) is analysed,
and the hierarchy of the mixing angles is described which is defined by the
chiral and large- expansions. The recent PCAC results are reproduced,
which are related to the problem of the renormalization-group invariant
description of the and the PS glueball, and a further analysis of this
problem is performed.Comment: 19 pages LaTeX, no figures. Revised version accepted in Phis.Rev.
M-Branes and Metastable States
We study a supersymmetry breaking deformation of the M-theory background
found in arXiv:hep-th/0012011. The supersymmetric solution is a warped product
of R^{2,1} and the 8-dimensional Stenzel space, which is a higher dimensional
generalization of the deformed conifold. At the bottom of the warped throat
there is a 4-sphere threaded by \tilde{M} units of 4-form flux. The dual
(2+1)-dimensional theory has a discrete spectrum of bound states. We add p
anti-M2 branes at a point on the 4-sphere, and show that they blow up into an
M5-brane wrapping a 3-sphere at a fixed azimuthal angle on the 4-sphere. This
supersymmetry breaking state turns out to be metastable for p / \tilde{M} <
0.054. We find a smooth O(3)-symmetric Euclidean bounce solution in the
M5-brane world volume theory that describes the decay of the false vacuum.
Calculation of the Euclidean action shows that the metastable state is
extremely long-lived. We also describe the corresponding metastable states and
their decay in the type IIA background obtained by reduction along one of the
spatial directions of R^{2,1}.Comment: 33 pages, 5 figures; v2 note adde
Intersecting Noncommutative D-branes and Baryons in Magnetic Fields
We study supersymmetric intersecting configurations of D-branes with B-field
backgrounds. Noncommutative D-brane or M-brane pairs can intersect
supersymmetrically over (p-1)-brane, as well as over (p-2)-brane like ordinary
branes. d=10 and d=11 supergravity solutions are obtained and the supersymmetry
projection rule is examined. As an application we study a noncommutative
D7-brane probe in noncommutative D3-brane background, intersecting at
noncommutative plane, which describes BPS baryons of noncommutative gauge
theory in the context of AdS/CFT correspondence.Comment: 15 pages;several important references are added and typos correcte
Effective spatial dimension of extremal non-dilatonic black p-branes and the description of entropy on the world volume
By investigating the critical behavior appearing at the extremal limit of the
non-dilatonic, black p-branes in (d+p) dimensions, we find that some critical
exponents related to the critical point obey the scaling laws. From the scaling
laws we obtain that the effective spatial dimension of the non-dilatonic black
holes and black strings is one, and is p for the non-dilatonic black p-branes.
For the dilatonic black holes and black p-branes, the effective dimension will
depend on the parameters in theories. Thus, we give an interpretation why the
Bekenstein-Hawking entropy may be given a simple world volume interpretation
only for the non-dilatonic black p-branes.Comment: 4 pages, RevTex, no figures, to appear in Phys. Rev. Let
Quantum Cosmology of Kantowski-Sachs like Models
The Wheeler-DeWitt equation for a class of Kantowski-Sachs like models is
completely solved. The generalized models include the Kantowski-Sachs model
with cosmological constant and pressureless dust. Likewise contained is a
joined model which consists of a Kantowski-Sachs cylinder inserted between two
FRW half--spheres. The (second order) WKB approximation is exact for the wave
functions of the complete set and this facilitates the product structure of the
wave function for the joined model. In spite of the product structure the wave
function can not be interpreted as admitting no correlations between the
different regions. This problem is due to the joining procedure and may
therefore be present for all joined models. Finally, the {s}ymmetric {i}nitial
{c}ondition (SIC) for the wave function is analyzed and compared with the ``no
bouindary'' condition. The consequences of the different boundary conditions
for the arrow of time are briefly mentioned.Comment: 21 pages, uses LaTeX2e, epsf.sty and float.sty, three figures (50
kb); changes: one figure added, new interpretation of quantizing procedure
for the joined model and many minor change
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