24 research outputs found
Type IIB flux compactifications on twistor bundles
We construct a U(1) bundle over N(1,1), usually considered as an SO(3) bundle
over CP^2, and show that type IIB supergravity can be consistently compactified
over it. With the five form flux turned on, there is a solution for which the
metric becomes Einstein. We also turn on 3-form fluxes and show that there is a
one parameter family of solutions. In particular, there is a limiting solution
of large 3-form fluxes for which two U(1) fiber directions of the metric shrink
to zero size. We also discuss compactifications over N(1,1) to AdS_3. All
solutions turn out to be non-supersymmetric.Comment: 12 pages, typos fixed, minor correction
Supersymmetric D3-branes in Five-Form Flux
We consider multiple Euclidean D3-branes in a specific supergravity solution,
which consists of a self-dual 5-form RR field in a flat background. We propose
a deformation of SYM action describing the dynamics of D3-branes
in this background. We look at the supersymmetries of SYM theory
consistent with those preserved by the background. We derive the Chern-Simons
action induced by the RR field, and show that the whole action can be
supersymmetrized. This we do by deforming the supersymmetry transformations and
using the BRST-like characteristic of the unbroken supercharges.Comment: 13 pages, latex file, minor changes, refs. adde
On the stability of non-supersymmetric supergravity solutions
We examine the stability of some non-supersymmetric supergravity solutions
that have been found recently. The first solution is AdS_5 X M_6, for M_6 an
stretched CP^3. We consider breathing and squashing mode deformations of the
metric, and find that the solution is stable against small fluctuations of this
kind. Next we consider type IIB solution of AdS_2 X M_8, where the compact
space is a U(1) bundle over N(1,1). We study its stability under the
deformation of M_8 and the 5-form flux. In this case we also find that the
solution is stable under small fluctuation modes of the corresponding
deformations.Comment: 11 page
Nonanticommutative Deformation of N=4 SYM Theory: The Myers Effect and Vacuum States
We propose a deformation of SYM theoery induced by
nonanticommutative star product. The deformation introduces new bosonic terms
which we identify with the corresponding Myers terms of a stack of D3-branes in
the presence of a five-form RR flux. We take this as an indication that the
deformed lagrangian describes D3-branes in such a background. The vacuum states
of the theory are also examined. In a specific case where the U(1) part of the
gauge field is nonvanishing the (anti)holomorphic transverse coordinates of the
brane sit on a fuzzy two sphere. For a supersymmetric vacuum the
antiholomorphic coordinates must necessarily commute. However, we also
encounter non-supersymmetric vacua for which the antiholomorphic coordinates do
not commute.Comment: 14 pages, minor changes, refs. adde
N=1/2 Super Yang-Mills Theory on Euclidean AdS2xS2
We study D-branes in the background of Euclidean AdS2xS2 with a graviphoton
field turned on. As the background is not Ricci flat, the graviphoton field
must have both self-dual and antiself-dual parts. This, in general, will break
all the supersymmetries on the brane. However, we show that there exists a
limit for which one can restore half of the supersymmetries. Further, we show
that in this limit, the N=1/2 SYM Lagrangian on flat space can be lifted on to
the Euclidean AdS2xS2 preserving the same amount of supersymmetries as in the
flat case. We observe that without the C-dependent terms present in the action
this lift is not possible.Comment: 12 pages, latex file; v2: minor corrections, references adde
Comments on Gluino Condensates in N=1/2 SYM Theory
Using Ward identities of N=1/2 supersymmetric Yang-Mills theory, we show that
while the partition function and antichiral gluino condensates remain invariant
under the deformation, chiral gluino correlators can get contributions from
all gauge fields with instanton numbers . In particular, a Ward
identity of the symmetry allows us to determine the explicit
dependence of chiral gluino correlators on the deformation parameter.Comment: 11 pages, 4 figures, small changes, added a referenc
New Compactifications of Eleven Dimensional Supergravity
Using canonical forms on S^7, viewed as an SU(2) bundle over S^4, we
introduce consistent ansatze for the 4-form field strength of
eleven-dimensional supergravity and rederive the known squashed, stretched, and
the Englert solutions. Further, by rewriting the metric of S^7 as a U(1) bundle
over CP^3, we present yet more general ansatze. As a result, we find a new
compactifying solution of the type AdS_5\times CP^3, where CP^3 is stretched
along its S^2 fiber. We also find a new solution of AdS_2\times H^2\times S^7
type in Euclidean space.Comment: 15 pages, revised sec. 4, included new CP^3 and S^7
compactifications, published versio
On Instantons and Zero Modes of N=1/2 SYM Theory
We study zero modes of N=1/2 supersymmetric Yang-Mills action in the
background of instantons. In this background, because of a quartic antichiral
fermionic term in the action, the fermionic solutions of the equations of
motion are not in general zero modes of the action. Hence, when there are
fermionic solutions, the action is no longer minimized by instantons. By
deforming the instanton equation in the presence of fermions, we write down the
zero mode equations. The solutions satisfy the equations of motion, and
saturate the BPS bound. The deformed instanton equations imply that the finite
action solutions have U(1) connections which are not flat anymore.Comment: 9 pages, latex file, added references, minor change