37 research outputs found
On Least Action D-Branes
We discuss the effect of relevant boundary terms on the nature of branes.
This is done for toroidal and orbifold compactifications of the bosonic string.
Using the relative minimalization of the boundary entropy as a guiding
principle, we uncover the more stable boundary conditions at different regions
of moduli space. In some cases, Neumann boundary conditions dominate for small
radii while Dirichlet boundary conditions dominate for large radii. The c=1 and
c=2 moduli spaces are studied in some detail. The antisymmetric background
field B is found to have a more limited role in the case of Dirichlet boundary
conditions. This is due to some topological considerations. The results are
subjected to T-duality tests and the special role of the points in moduli space
fixed under T-duality is explained from least-action considerations.Comment: Latex, 20 pages, 2 figures, references adde
Open/Closed Topological CP1 Sigma Model Revisited
We consider the topological sigma-model on Riemann surfaces with genus g and
h holes, and target space CP1. We calculate the correlation functions of bulk
and boundary operators, and study the symmetries of the model and its most
general deformation. We study the open/closed topological field theory (TFT)
correspondence by summing up the boundaries. We argue that this summation can
be understood as a renormalization of the closed TFT. We couple the model to
topological gravity and derive constitutive relations between the correlation
functions of bulk and boundary operators.Comment: 25 page
Defects, Super-Poincar\'{e} line bundle and Fermionic T-duality
Topological defects are interfaces joining two conformal field theories, for
which the energy momentum tensor is continuous across the interface. A class of
the topological defects is provided by the interfaces separating two bulk
systems each described by its own Lagrangian, where the two descriptions are
related by a discrete symmetry.
In this paper we elaborate on the cases in which the discrete symmetry is a
bosonic or a fermionic T- duality. We review how the equations of motion
imposed by the defect encode the general bosonic T- duality transformations for
toroidal compactifications. We generalize this analysis in some detail to the
case of topological defects allowed in coset CFTs, in particular to those
cosets where the gauged group is either an axial or vector U(1). This is
discussed in both the operator and Lagrangian approaches. We proceed to
construct a defect encoding a fermionic T-duality. We show that the fermionic
T-duality is implemented by the Super-Poincar\'{e} line bundle. The observation
that the exponent of the gauge invariant flux on a defect is a kernel of the
Fourier-Mukai transform of the Ramond-Ramond fields, is generalized to a
fermionic T-duality. This is done via a fiberwise integration on
supermanifolds.Comment: 41 page
Time-dependent stabilization in AdS/CFT
We consider theories with time-dependent Hamiltonians which alternate between
being bounded and unbounded from below. For appropriate frequencies dynamical
stabilization can occur rendering the effective potential of the system stable.
We first study a free field theory on a torus with a time-dependent mass term,
finding that the stability regions are described in terms of the phase diagram
of the Mathieu equation. Using number theory we have found a compactification
scheme such as to avoid resonances for all momentum modes in the theory. We
further consider the gravity dual of a conformal field theory on a sphere in
three spacetime dimensions, deformed by a doubletrace operator. The gravity
dual of the theory with a constant unbounded potential develops big crunch
singularities; we study when such singularities can be cured by dynamical
stabilization. We numerically solve the Einstein-scalar equations of motion in
the case of a time-dependent doubletrace deformation and find that for
sufficiently high frequencies the theory is dynamically stabilized and big
crunches get screened by black hole horizons.Comment: LaTeX, 38 pages, 13 figures. V2: appendix C added, references added
and typos correcte
D-Branes in the Background of NS Fivebranes
We study the dynamics of -branes in the near-horizon geometry of
fivebranes. This leads to a holographically dual description of the physics of
-branes ending on and/or intersecting -branes. We use it to verify some
properties of such -branes which were deduced indirectly in the past, and
discuss some instabilities of non-supersymmetric brane configurations. Our
construction also describes vacua of Little String Theory which are dual to
open plus closed string theory in asymptotically linear dilaton spacetimes.Comment: 44 pages, 16 figures, harvma
Summary of Results in N=1 Supersymmetric SU(2) Gauge Theories
We summarize some results in 4d, N=1 supersymmetric SU(2) gauge theories: the
exact effective superpotentials, the vacuum structure, and the exact effective
Abelian couplings for arbitrary bare masses and Yukawa couplings.Comment: 13 page
Aspects of Confinement and Screening in M theory
Confinement and Screening are investigated in SUSY gauge theories, realized
by an M5 brane configuration, extending an approach applied previously to N=1
SYM theory, to other models. The electric flux tubes are identified as M2
branes ending on the M5 branes and the conserved charge they carry is
identified as a topological property. The group of charges carried by the flux
tubes is calculated and the results agree in all cases considered with the
field theoretical expectations. In particular, whenever the dynamical matter is
expected to screen the confining force, this is reproduced correctly in the M
theory realization.Comment: 26 pages (LaTeX) + 9 figures (encapsulated postscript); ver.2:
references adde