492 research outputs found
Boundary states in the Nappi-Witten model
We investigate D-branes in the Nappi-Witten model. Classically symmetric
D-branes are classified by the (twisted) conjugacy classes of the Nappi-Witten
group, which specify the geometry of the corresponding D-branes. Quantum
description of the D-branes is given by boundary states, and we need one point
functions of closed strings to construct the boundary states. We compute the
one point functions solving conformal bootstrap constraints, and check that the
classical limit of the boundary states reproduces the geometry of D-branes.Comment: 19 pages, no figure; minor changes, references adde
Topological String on OSP(1|2)/U(1)
We propose an equivalence between topological string on OSP(1|2)/U(1) and
\hat{c} \leq 1 superstring with N=1 world-sheet supersymmetry. We examine this
by employing a free field representation of OSP(1|2) WZNW model and find an
agreement on the spectrum. We also analyze this proposal at the level of
scattering amplitudes by applying a map between correlation functions of
OSP(1|2) WZNW model and those of N=1 Liouville theory.Comment: 25 pages, refereces adde
Kappa symmetric OSp(2|2) WZNW model
We construct a kappa symmetric WZNW model for the OSp(2|2) supergroup, whose
bosonic part is AdS3xS1 space. The field equation gives the chiral current
conservation and the right/left factorization is shown after the kappa symmetry
is fixed. The right-moving modes contain both bosons and fermions while the
left-moving modes contain only bosons.Comment: 18 pages; reference and comments added, version to appear in JHE
Liouville Field Theory on an Unoriented Surface
Liouville field theory on an unoriented surface is investigated, in
particular, the one point function on a RP^2 is calculated. The constraint of
the one point function is obtained by using the crossing symmetry of the two
point function. There are many solutions of the constraint and we can choose
one of them by considering the modular bootstrap.Comment: 13 pages, no figures, LaTeX, minor changes, equations in section 4
are correcte
Self-force Regularization in the Schwarzschild Spacetime
We discuss the gravitational self-force on a particle in a black hole
space-time. For a point particle, the full (bare) self-force diverges. The
metric perturbation induced by a particle can be divided into two parts, the
direct part (or the S part) and the tail part (or the R part), in the harmonic
gauge, and the regularized self-force is derived from the R part which is
regular and satisfies the source-free perturbed Einstein equations. But this
formulation is abstract, so when we apply to black hole-particle systems, there
are many problems to be overcome in order to derive a concrete self-force.
These problems are roughly divided into two parts. They are the problem of
regularizing the divergent self-force, i.e., ``subtraction problem'' and the
problem of the singularity in gauge transformation, i.e., ``gauge problem''. In
this paper, we discuss these problems in the Schwarzschild background and
report some recent progress.Comment: 34 pages, 2 figures, submitted to CQG, special volume for Radiation
Reaction (CAPRA7
Braiding and fusion properties of the Neveu-Schwarz super-conformal blocks
We construct, generalizing appropriately the method applied by J. Teschner in
the case of the Virasoro conformal blocks, the braiding and fusion matrices of
the Neveu-Schwarz super-conformal blocks. Their properties allow for an
explicit verification of the bootstrap equation in the NS sector of the N=1
supersymmetric Liouville field theory.Comment: 41 pages, 3 eps figure
Crosscap States for Orientifolds of Euclidean AdS_3
Crosscap states for orientifolds of Euclidean AdS_3 are constructed. We show
that our crosscap states describe the same orientifolds which were obtained by
the classical analysis. The spectral density of open strings in the system with
orientifold can be read from the M"obius strip amplitudes and it is compared to
that of the open strings stretched between branes and their mirrors. We also
compute the Klein bottle amplitudes.Comment: 17 pages, LaTeX2e, v2: clarification and discussion added, v3: minor
changes, to appear in JHE
A family of solvable non-rational conformal field theories
We find non-rational conformal field theories in two dimensions, which are
solvable due to their correlators being related to correlators of Liouville
theory. Their symmetry algebra consists of the dimension-two stress-energy
tensor, and two dimension-one fields. The theories come in a family with two
parameters: the central charge c and a complex number m. The special case m=0
corresponds to Liouville theory (plus two free bosons), and m=1 corresponds to
the H3+ model. In the case m=2 we show that the correlators obey third-order
differential equations, which are associated to a subsingular vector of the
symmetry algebra.Comment: 14 pages, v2: role of subsingular vectors clarifie
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