1,870 research outputs found
Diffeomorphism, kappa transformations and the theory of non-linear realisations
We will show how the theory of non-linear realisations can be used to
naturally incorporate world line diffeomorphisms and kappa transformations for
the point particle and superpoint particle respectively. Similar results also
hold for a general p-brane and super p-brane, however, we must in these cases
include an additional Lorentz transformation.Comment: 19pages, no figure. References are added and typos are correcte
A Note on Unitarity of Non-Relativistic Non-Commutative Theories
We analyze the unitarity of a non-relativistic non-commutative scalar field
theory. We show that electric backgrounds spoil unitarity while magnetic ones
do not. Furthermore, unlike its relativistic counterparts, unitarity can not be
restored (at least at the level of one-to-one scattering amplitude) by adding
new states to the theory. This is a signal that the model cannot be embedded in
a natural way in string theory.Comment: 6 pages, 2 figures. References adde
Schwarzschild Black Hole in Noncommutative Spaces
We study the effects of noncommutative spaces on the horizon, the area
spectrum and Hawking temperature of a Schwarzschild black hole. The results
show deviations from the usual horizon, area spectrum and the Hawking
temperature. The deviations depend on the parameter of space-space
noncommutativity.Comment: 4 pages, accepted for publication in Gen.Rel.Gra
A prediction for bubbling geometries
We study the supersymmetric circular Wilson loops in N=4 Yang-Mills theory.
Their vacuum expectation values are computed in the parameter region that
admits smooth bubbling geometry duals. The results are a prediction for the
supergravity action evaluated on the bubbling geometries for Wilson loops.Comment: 21 pages, latex; v.2 reference added; v.3 minor correction
BIons in topological string theory
When many fundamental strings are stacked together, they puff up into
D-branes. BIons and giant gravitons are the examples of such D-brane
configurations that arise from coincident strings. We propose and demonstrate
analogous transitions in topological string theory. Such transitions can also
be understood in terms of the Fourier transform of D-brane amplitudes.Comment: 21 pages; v.2 references added; v.3 reference added; v.4 minor
corrections; v.5 substantial rewritin
Noether's theorem and gauge transformations. Application to the bosonic string and CP(2,n-1) model
New results on the theory of constrained systems are applied to characterize the generators of Noethers symmetry transformations. As a byproduct, an algorithm to construct gauge transformations in Hamiltonian formalism is derived. This is illustrated with two relevant examples
The Gauge Dual of Gauged N=8 Supergravity Theory
The most general SU(3)-singlet space of gauged N=8 supergravity in
four-dimensions is studied recently. The SU(3)-invariant six scalar fields are
realized by six real four-forms. A family of holographic N=1 supersymmetric RG
flows on M2-branes in three-dimensions is described. This family of flows is
driven by three independent mass parameters from the N=8 SO(8) theory and is
controlled by two IR fixed points, N=1 G_2-invariant one and N=2 SU(3) x
U(1)-invariant one. The generic flow with arbitrary mass parameters is N=1
supersymmetric and reaches to the N=2 SU(3) x U(1) fixed point where the three
masses become identical. A particular N=1 supersymmetric SU(3)-preserving RG
flow from the N=1 G_2-invariant fixed point to the N=2 SU(3) x U(1)-invariant
fixed point is also discussed.Comment: 19pp; added the footnote 1, improved the conclusion and to appear in
IJMP
A Superspace Formulation for the Master Equation
It is shown that the quantum master equation of the Field Antifield
quantization method at one loop order can be translated into the requirement of
a superfield structure for the action. The Pauli Villars regularization is
implemented in this BRST superspace and the case of anomalous gauge theories is
investigated. The quantum action, including Wess Zumino terms, shows up as one
of the components of a superfield that includes the BRST anomalies in the other
component. The example of W2 quantum gravity is also discussed.Comment: The constrained nature of standard BRST superfields and the
importance of using Alfaro and Damgaard's collective fields in the superspace
approach to avoid undefined superfield derivatives was emphasized. To appear
in Phys. Rev. D. Latex file, 20 page
M2-Branes and Background Fields
We discuss the coupling of multiple M2-branes to the background 3-form and
6-form gauge fields of eleven-dimensional supergravity, including the coupling
of the Fermions. In particular we show in detail how a natural generalization
of the Myers flux-terms, along with the resulting curvature of the background
metric, leads to mass terms in the effective field theory.Comment: 19 page
D-branes as a Bubbling Calabi-Yau
We prove that the open topological string partition function on a D-brane
configuration in a Calabi-Yau manifold X takes the form of a closed topological
string partition function on a different Calabi-Yau manifold X_b. This
identification shows that the physics of D-branes in an arbitrary background X
of topological string theory can be described either by open+closed string
theory in X or by closed string theory in X_b. The physical interpretation of
the ''bubbling'' Calabi-Yau X_b is as the space obtained by letting the
D-branes in X undergo a geometric transition. This implies, in particular, that
the partition function of closed topological string theory on certain bubbling
Calabi-Yau manifolds are invariants of knots in the three-sphere.Comment: 32 pages; v.2 reference adde
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