1,630 research outputs found
Mirror Maps and Instanton Sums for Complete Intersections in Weighted Projective Space
We consider a class of Calabi-Yau compactifications which are constructed as
a complete intersection in weighted projective space. For manifolds with one
K\"ahler modulus we construct the mirror manifolds and calculate the instanton
sum.Comment: 10 page
Integrable three-body systems with distinct two-body forces
Translationally invariant one-dimensional three-body systems with mutually different pair potentials are derived that possess a third constant of motion, both classically and quantum-mechanically; a Lax pair is given, and all (even) regular solutions of the corresponding functional equation are obtained
A note on gravity-scalar fluctuations in holographic RG flow geometries
We study five-dimensional gravity models with non-vanishing background scalar
fields which are dual to non-conformal boundary field theories. We develop a
procedure to decouple the graviton fluctuations from the scalar ones and apply
it to the simplest case of one scalar field. The quadratic action for the
decoupled scalar fluctuations has a very simple form and can be used to compute
two-point functions. We perform this computation for the two examples of
background RG flow recently considered by DeWolfe and Freedman and find
physically reasonable results.Comment: 13 pages, latex, no figure
Lectures on Mirror Symmetry
We give an introduction to mirror symmetry of strings on Calabi-Yau manifolds
with an emphasis on its applications e.g. for the computation of Yukawa
couplings. We introduce all necessary concepts and tools such as the basics of
toric geometry, resolution of singularities, construction of mirror pairs,
Picard-Fuchs equations, etc. and illustrate all of this on a non-trivial
example. Extended version of a lecture given at the Third Baltic Student
Seminar, Helsinki September 1993Comment: LMU-TPW-94-02, 45 pages, harvma
Chern-Simons Gravity and Holographic Anomalies
We present a holographic treatment of Chern-Simons (CS) gravity theories in
odd dimensions. We construct the associated holographic stress tensor and
calculate the Weyl anomalies of the dual CFT.Comment: Added references, and minor corrections. 21 pages, havmac, no figure
Integrable field theories from Poisson algebras
New integrable 1 + 1 dimensional classical field theories are found that include infinite dimensional analogues of N-particle Toda-and Calogero-Moser systems, as well as non-relativistic theories with an interaction that is polynomial in the first (spatial) derivative of the field. The existence, as well as the involutivity, of an infinite set of independent conserved quantities follows most easily from a 2 + 1 dimensional Lax-pair which uses as its underlying infinite dimensional Lie algebra a Poisson algebra of functions in two variables
Factorization properties of genus-two bosonic and fermionic string partition functions
The genus-two bosonic and fermionic string partition functions factorize, in the separating pinching limit, into genus-one partition functions after integrating out the supermoduli with super-Beltrami support on the puncture points in the fermionic and heterotic case
Nonperturbative Effective Actions of N=2 Supersymmetric Gauge Theories
We elaborate on our previous work on N=2 supersymmetric Yang-Mills theory. In
particular, we show how to explicitly determine the low energy quantum
effective action for from the underlying hyperelliptic Riemann
surface, and calculate the leading instanton corrections. This is done by
solving Picard-Fuchs equations and asymptotically evaluating period integrals.
We find that the dynamics of the theory is governed by an Appell system
of type , and compute the exact quantum gauge coupling explicitly in terms
of Appell functions.Comment: 57p, harvmac with hyperlinks, 9 uuencoded ps figure
On the Monodromies of N=2 Supersymmetric Yang-Mills Theory
We review the generalization of the work of Seiberg and Witten on N=2
supersymmetric SU(2) Yang-Mills theory to SU(n) gauge groups. The quantum
moduli spaces of the effective low energy theory parametrize a special family
of hyperelliptic genus n-1 Riemann surfaces. We discuss the massless spectrum
and the monodromies.Comment: 15p, harvmac/lanlmac with hyperlinks, 4 uuencoded compressed
postscript figures appende
Matching the BPS Spectra of Heterotic - Type I - Type I' Strings
We give a detailed discussion of the matching of the BPS states of heterotic,
type I and type I' theories in d=9 for general backgrounds. This allows us to
explicitly identify these (composite) brane states in the type I' theory that
lead to gauge symmetry enhancement at critical points in moduli space. An
example is the enhancement of to .Comment: 11 pages; minor typos in eq. (3), (4) and on page 9 have been
corrected; two footnotes taking into account additional references have been
added; version to appear in Physics Letters
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