5,024 research outputs found
Large N Elliptic Genus and AdS/CFT Correspondence
According to one of Maldacena's dualities, type IIB string theory on AdS_3 X
S^3 X K3 is equivalent to a certain N=(4,4) superconformal field theory. In
this note we compute the elliptic genus of the boundary theory in the
supergravity approximation. A finite quantity is obtained once we introduce a
particular exclusion principle. In the regime where the supergravity
approximation is reliable, we find exact agreement with the elliptic genus of a
sigma model with target space K3^N/S_N.Comment: 13 pages, LaTe
Wakimoto realizations of current algebras: an explicit construction
A generalized Wakimoto realization of can be associated
with each parabolic subalgebra of a simple
Lie algebra according to an earlier proposal by Feigin and Frenkel.
In this paper the proposal is made explicit by developing the construction of
Wakimoto realizations from a simple but unconventional viewpoint. An explicit
formula is derived for the Wakimoto current first at the Poisson bracket level
by Hamiltonian symmetry reduction of the WZNW model. The quantization is then
performed by normal ordering the classical formula and determining the required
quantum correction for it to generate by means of
commutators. The affine-Sugawara stress-energy tensor is verified to have the
expected quadratic form in the constituents, which are symplectic bosons
belonging to and a current belonging to . The
quantization requires a choice of special polynomial coordinates on the big
cell of the flag manifold . The effect of this choice is
investigated in detail by constructing quantum coordinate transformations.
Finally, the explicit form of the screening charges for each generalized
Wakimoto realization is determined, and some applications are briefly
discussed.Comment: 38 pages, LaTeX, contains improved formulations of theorems 3 and 6,
two references and a remark added, plus minor stylistic change
General covariance of the non-abelian DBI-action
In this paper we study the action for N D0-branes in a curved background. In
particular, we focus on the meaning of space-time diffeomorphism invariance.
For a single D-brane, diffeomorphism invariance acts in a naive way on the
world-volume fields, but for multiple D-branes, the meaning of diffeomorphism
invariance is much more obscure. The problem goes beyond the determination of
an ordering of the U(N)-valued fields, because one can show that there is no
lift of ordinary diffeomorphisms to matrix-valued diffeomorphisms. On the other
hand, the action can presumably be constructed from perturbative string theory
calculations. Based on the general characteristics of such calculations we
determine a set of constraints on the action for N D0-branes, that ensure
space-time covariance. These constraints can be solved order by order, but they
are insufficient to determine the action completely. All solutions to the
constraints obey the axioms of D-geometry. Moreover the action must contain new
terms. This exhibits clearly that the answer is more than a suitable ordering
of the action of a single D0 brane.Comment: latex, 38 page
An explicit construction of Wakimoto realizations of current algebras
It is known from a work of Feigin and Frenkel that a Wakimoto type,
generalized free field realization of the current algebra
can be associated with each parabolic subalgebra of the Lie algebra , where in the standard case
is the Cartan and is the Borel subalgebra. In this letter we obtain
an explicit formula for the Wakimoto realization in the general case. Using
Hamiltonian reduction of the WZNW model, we first derive a Poisson bracket
realization of the -valued current in terms of symplectic bosons
belonging to and a current belonging to . We then
quantize the formula by determining the correct normal ordering. We also show
that the affine-Sugawara stress-energy tensor takes the expected quadratic form
in the constituents.Comment: 13 pages, LaTeX; a typo corrected in (5.5-6), refs and a remark adde
Target Space Supersymmetric Sigma Model Calculations
We briefly review the covariant formulation of the Green-Schwarz superstring
by Berkovits, and describe how a detailed tree-level and one-loop analysis of
this model leads, for the first time, to a derivation of the low-energy
effective action of the heterotic superstring while keeping target-space
supersymmetry manifest. The resulting low-energy theory is old-minimal
supergravity coupled to tensor multiplet. The dilaton is part of the
compensator multiplet.Comment: LaTeX, 8 pages; to appear in proceedings of workshop on Gauge Theory,
Applied Supersymmetry and Gauge Theory, Imperial College, July 5-10 199
Conformal Field Theories: From Old to New
In a short review of recent work, we discuss the general problem of
constructing the actions of new conformal field theories from old conformal
field theories. Such a construction follows when the old conformal field theory
admits new conformal stress tensors in its chiral algebra, and it turns out
that the new conformal field theory is generically a new spin-two gauge theory.
As an example we discuss the new spin-two gauged sigma models which arise in
this fashion from the general conformal non-linear sigma model.Comment: 7 pages, LaTeX, to appear in a memorial issue of Theoretical and
Mathematical Physics in memory of F.A. Lune
Two-dimensional Conformal Field Theories on AdS_{2d+1} Backgrounds
Various exact two-dimensional conformal field theories with AdS_{2d+1} target
space are constructed. These models can be solved using bosonization
techniques. Some examples are presented that can be used in building
perturbative superstring theories with AdS backgrounds, including AdS_5.Comment: 36 pages, harvma
Success factors for managing purchasing groups: an empirical survey
In this article, we identify success factors for managing small and intensive purchasing groups by comparing successful and unsuccessful Dutch purchasing groups in a large-scale survey. Transaction costs economics and social exchange theory are used as theoretical frameworks for our broad empirical investigation. We found that the success factors studied that are related to interorganizational trust, the formality of the group, and uniformity of the group members are not success factors for managing purchasing groups. For our data set, the most important success factors are no enforced participation, sufficient total contribution of efforts, all members contribute knowledge, all members rarely change representatives, fair allocation of savings, and communication. We discuss the academic and practical implications of the success factors found
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