26 research outputs found
From Type IIA Black Holes to T-dual Type IIB D-Instantons in N=2, D=4 Supergravity
We discuss the T-duality between the solutions of type IIA versus IIB
superstrings compactified on Calabi-Yau threefolds. Within the context of the
N=2, D=4 supergravity effective Lagrangian, the T-duality transformation is
equivalently described by the c-map, which relates the special Kahler moduli
space of the IIA N=2 vector multiplets to the quaternionic moduli space of the
N=2 hyper multiplets on the type IIB side (and vice versa). Hence the
T-duality, or c-map respectively, transforms the IIA black hole solutions,
originating from even dimensional IIA branes, of the special Kahler effective
action, into IIB D-instanton solutions of the IIB quaternionic sigma-model
action, where the D-instantons can be obtained by compactifying odd IIB
D-branes on the internal Calabi-Yau space. We construct via this mapping a
broad class of D-instanton solutions in four dimensions which are determinded
by a set of harmonic functions plus the underlying topological Calabi-Yau data.Comment: LaTeX, 37 pages. Some typos fixed. Final version, to appear in Nucl.
Phys.
Subleading contributions from instanton corrections in N = 2 supersymmetric black hole entropy
We present subleading corrections to the N=2 supersymmetric black hole
entropy. These subleading contributions correspond to instanton corrections of
the Type II string theory. In particular we consider an axion free black hole
solution of low-energy effective Type II string theory. We present a procedure
to include successively all instanton corrections. Expanding these corrections
at particular points in moduli space yields polynomial and logarithmic
instanton corrections to the classical black hole entropy. We comment on a
microscopic interpretation of these instanton corrections and find that the
logarithmic corrections correspond to subleading terms in the degeneracy of the
spectrum of an underlying quantum theory.Comment: 8 pages, Late
Duality Invariant Non-Extreme Black Holes in Toroidally Compactified String Theory
We present duality invariant structure of the thermodynamic quantities of
non-extreme black hole solutions of torodially compactified Type II (M-theory)
and heterotic string in five and four dimensions. These quantities are
parameterized by duality invariant combinations of charges and the
non-extremality parameter, which measures a deviation from the BPS-saturated
limit. In particular, in D=5 we find explicit S- and T-duality [U-duality]
invariant expressions for solutions of toroidally compactified heterotic string
[Type II string]. In D=4, we consider general S-duality invariant expressions
for non-extreme solutions of pure N=4 supergravity and find to the leading
order in non-extremality parameter the T- and S-duality invariant expressions
of toroidally compactified heterotic string. General non-extreme solutions of
toroidally compactified string in D=4 are awaiting further investigation.Comment: Reference added, 20 pages, no figure
Extended supersymmetry with gauged central charge
Global N=2 supersymmetry in four dimensions with a gauged central charge is
formulated in superspace. To find an irreducible representation of
supersymmetry for the gauge connections a set of constraints is given. Then the
Bianchi identities are solved subject to this set of constraints. It is shown
that the gauge connection of the central charge is a N=2 vector multiplet.
Moreover the Bogomol'nyi bound of the massive particle states is studied.Comment: 9 pages,standard latex, (Revised Version), to appear in Phys. Lett.
AdS_3 Gravity and Conformal Field Theories
We present a detailed analysis of gravity, the BTZ black hole and the
associated conformal field theories (CFTs). In particular we focus on the
non-extreme six-dimensional string solution with background metric near the horizon. In addition we introduce momentum modes along the
string, corresponding to a BTZ black hole, and a Taub-NUT soliton in the
transverse Euclidean space. We show that the space-time of this
configuration has the spatial geometry of an annulus with a Liouville model at
the outer boundary and a two-dimensional black hole at the inner boundary.
These CFTs provide the dynamical degrees of freedom of the three-dimensional
effective model and, together with the CFT corresponding to , provide a
statistical interpretation of the corresponding Bekenstein-Hawking entropy. We
test the proposed exact black hole entropy, which should hold to all orders in
, by an independent field theoretical analysis including
higher-order curvature corrections. We find consistent results that yield a
renormalization of the classical parameters, only. In addition we find a
logarithmic subleading black hole entropy coming from gravitational fivebrane
instantons in a special limit in moduli space.Comment: 33 pages, latex, no figures, minor changes, references adde
On-Mass-Shell Gaugino Condensation in Z_{N} Orbifold Compactifications
We discuss non-perturbative aspects of string effective field theories with
N=1 supersymmetry in four dimensions. By the use of a scalar potential, which
is on-shell invariant under the supersymmetric duality of the dilaton, we study
gaugino condensation in (2,2) symmetric Z_{N} orbifold compactifications. The
duality under consideration relates a two-form antisymmetric tensor to a
pseudoscalar. We show, that our approach is independent of the
superfield-representation of the dilaton and preserves the U(1)_{PQ}
Peccei-Quinn symmetry exactly.Comment: Standard-Late