215 research outputs found
supersymmetry and the three loop anomalous dimension for the chiral superfield
We calculate the three loop anomalous dimension for a general
supersymmetric gauge theory. The result is used to probe the possible existence
of renormalisation invariant relationships between the Yukawa and gauge
couplings.Comment: 18 pages. Uses Harvmac. Revised version includes discussion of the
special case of the Wess-Zumino mode
Gravitino condensation in fivebrane backgrounds
We calculate the tension of the D3-brane in the fivebrane background which is
described by the exactly solvable SU(2)_k x U(1) world-sheet conformal field
theory with large Kac-Moody level k. The D3-brane tension is extracted from the
amplitude of one closed string exchange between two parallel D3-branes, and the
amplitude is calculated by utilizing the open-closed string duality. The
tension of the D3-brane in the background does not coincide with the one in the
flat space-time even in the flat space-time limit: k -> infinity. The finite
curvature effect should vanish in the flat space-time limit and only the
topological effect can remain. Therefore, the deviation indicates the
condensation of gravitino and/or dilatino which has been expected in the
fivebrane background as a gravitational instanton.Comment: 16 pages, 1 figur
The Self-dual String Soliton in AdS_4\times S^7 spacetime
We construct self-dual string soliton solutions in spacetime, starting from the covariant equations of motion of M5-brane.
We study the properties of the solutions and find that their action are
linearized, indicating the BPS nature of the solutions, and they have the same
electric and magnetic charge. The straight string soliton solution represents
the configuration of the membranes ending on M5-brane with a straight string
intersection, and it behaves like the spiky solution in flat spacetime. The
spherical string soliton solution, which could be related to the straight one
by a conformal transformation, represents the membranes ending on M5-brane with
a spherical intersection.Comment: 15 pages;typos corrected, references added;published versio
Supergravity Solutions for BI Dyons
We construct partially localized supergravity counterpart solutions to the
1/2 supersymmetric non-threshold and the 1/4 supersymmetric threshold bound
state BI dyons in the D3-brane Dirac-Born-Infeld theory. Such supergravity
solutions have all the parameters of the BI dyons. By applying the IIA/IIB
T-duality transformations to these supergravity solutions, we obtain the
supergravity counterpart solutions to 1/2 and 1/4 supersymmetric BIons carrying
electric and magnetic charges of the worldvolume U(1) gauge field in the
Dirac-Born-Infeld theory in other dimensions.Comment: 17 pages, REVTeX, revised version to appear in Phys. Rev.
Scheme dependence and the NSVZ -function
We investigate the connection between the NSVZ and the DRED forms of the
gauge -function in an supersymmetric gauge theory. We construct a
coupling constant redefinition that relates the two forms up to four loops. By
abelian calculations, we are able to infer the complete non-abelian form of
, and also except for one undetermined
parameter.Comment: 29 pages, including 4 figures (in 7 files). Plain TeX. Uses Harvmac
and eps
The spinorial geometry of supersymmetric heterotic string backgrounds
We determine the geometry of supersymmetric heterotic string backgrounds for
which all parallel spinors with respect to the connection with
torsion , the NSNS three-form field strength, are Killing. We find
that there are two classes of such backgrounds, the null and the timelike. The
Killing spinors of the null backgrounds have stability subgroups
K\ltimes\bR^8 in , for , SU(4), , and , and the Killing spinors of the timelike backgrounds have
stability subgroups , SU(3), SU(2) and . The former admit a single
null -parallel vector field while the latter admit a timelike and
two, three, five and nine spacelike -parallel vector fields,
respectively. The spacetime of the null backgrounds is a Lorentzian
two-parameter family of Riemannian manifolds with skew-symmetric torsion.
If the rotation of the null vector field vanishes, the holonomy of the
connection with torsion of is contained in . The spacetime of time-like
backgrounds is a principal bundle with fibre a Lorentzian Lie group and
base space a suitable Riemannian manifold with skew-symmetric torsion. The
principal bundle is equipped with a connection which determines the
non-horizontal part of the spacetime metric and of . The curvature of
takes values in an appropriate Lie algebra constructed from that of
. In addition has only horizontal components and contains the
Pontrjagin class of . We have computed in all cases the Killing spinor
bilinears, expressed the fluxes in terms of the geometry and determine the
field equations that are implied by the Killing spinor equations.Comment: 73pp. v2: minor change
Super D-branes from BRST Symmetry
Recently a new formalism has been developed for the covariant quantization of
superstrings. We study properties of Dp-branes and p-branes in this new
framework, focusing on two different topics: effective actions and boundary
states for Dp-branes. We present a derivation of the Wess-Zumino terms for
super (D)p-branes using BRST symmetry. To achieve this we derive the BRST
symmetry for superbranes, starting from the approach with/without pure spinors,
and completely characterize the WZ terms as elements of the BRST cohomology. We
also develope the boundary state description of Dp-branes by analyzing the
boundary conditions for open strings in the completely covariant (i.e., without
pure spinors) BRST formulation.Comment: 31 pp; journal version, expended discussion of D-brane pure spinor
constraints in Section 2.
Superparticle and superstring in AdS_3 x S^3 Ramond-Ramond background in light-cone gauge
We discuss superparticle and superstring dynamics in AdS_3 x S^3 supported by
R-R 3-form background using light-cone gauge approach. Starting with the
superalgebra psu(1,1|2) + psu(1,1|2) representing the basic symmetry of this
background we find the light-cone superparticle Hamiltonian. We determine the
harmonic decomposition of light-cone superfield describing fluctuations of type
IIB supergravity fields expanded near AdS_3 x S^3 background and compute the
corresponding Kaluza-Klein spectrum. We fix the fermionic and bosonic
light-cone gauges in the covariant Green-Schwarz AdS_3 x S^3 superstring action
and find the light-cone string Hamiltonian. We also obtain a realization of the
generators of psu(1,1|2) + psu(1,1|2) in terms of the superstring 2-d fields in
the light-cone gauge.Comment: 32 pages, late
Supersymmetric non-linear sigma-models with boundaries revisited
We study two-dimensional supersymmetric non-linear sigma-models with
boundaries. We derive the most general family of boundary conditions in the
non-supersymmetric case. Next we show that no further conditions arise when
passing to the N=1 model. We present a manifest N=1 off-shell formulation. The
analysis is greatly simplified compared to previous studies and there is no
need to introduce non-local superspaces nor to go (partially) on-shell. Whether
or not torsion is present does not modify the discussion. Subsequently, we
determine under which conditions a second supersymmetry exists. As for the case
without boundaries, two covariantly constant complex structures are needed.
However, because of the presence of the boundary, one gets expressed in terms
of the other one and the remainder of the geometric data. Finally we recast
some of our results in N=2 superspace and discuss applications.Comment: LaTeX, 23 page
String Theory, Unification and Quantum Gravity
An overview is given of the way in which the unification program of particle
physics has evolved into the proposal of superstring theory as a prime
candidate for unifying quantum gravity with the other forces and particles of
nature. A key concern with quantum gravity has been the problem of ultraviolet
divergences, which is naturally solved in string theory by replacing particles
with spatially extended states as the fundamental excitations. String theory
turns out, however, to contain many more extended-object states than just
strings. Combining all this into an integrated picture, called M-theory,
requires recognition of the r\^ole played by a web of nonperturbative duality
symmetries suggested by the nonlinear structures of the field-theoretic
supergravity limits of string theory.Comment: 29 pages, 13 figures, 3 tables; Lectures given at the 6th Aegean
Summer School "Quantum Gravity and Quantum Cosmology", Chora, Naxos Island,
Greece, 12-17 September 201
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