431 research outputs found
Worldsheet instantons and (0,2) linear models
We study the stability of heterotic compactifications described by (0,2)
gauged linear sigma models with respect to worldsheet instanton corrections to
the space-time superpotential following the work of Beasley and Witten. We show
that generic models elude the vanishing theorem proved there, and may not
determine supersymmetric heterotic vacua. We then construct a subclass of
linear models for which a vanishing theorem holds, generating an extensive list
of consistent heterotic backgrounds.Comment: 21 pages; v2: minor correction
Stochastic Resonance in Neuron Models: Endogenous Stimulation Revisited
The paradigm of stochastic resonance (SR)---the idea that signal detection
and transmission may benefit from noise---has met with great interest in both
physics and the neurosciences. We investigate here the consequences of reducing
the dynamics of a periodically driven neuron to a renewal process (stimulation
with reset or endogenous stimulation). This greatly simplifies the mathematical
analysis, but we show that stochastic resonance as reported earlier occurs in
this model only as a consequence of the reduced dynamics.Comment: Some typos fixed, esp. Eq. 15. Results and conclusions are not
affecte
The partition function of 2d string theory
We derive a compact and explicit expression for the generating functional of
all correlation functions of tachyon operators in 2D string theory. This
expression makes manifest relations of the system to KP flow and
constraints. Moreover we derive a Kontsevich-Penner integral
representation of this generating functional.Comment: 28 pages, 3 figures not included, harvmac. Preprint IASSNS-HEP-92/48,
YCTP-P22-9
Toric Duality Is Seiberg Duality
We study four N=1 SU(N)^6 gauge theories, with bi-fundamental chiral matter
and a superpotential. In the infrared, these gauge theories all realize the
low-energy world-volume description of N coincident D3-branes transverse to the
complex cone over a del Pezzo surface dP_3 which is the blowup of P^2 at three
generic points. Therefore, the four gauge theories are expected to fall into
the same universality class--an example of a phenomenon that has been termed
"toric duality." However, little independent evidence has been given that such
theories are infrared-equivalent.
In fact, we show that the four gauge theories are related by the N=1 duality
of Seiberg, vindicating this expectation. We also study holographic aspects of
these gauge theories. In particular we relate the spectrum of chiral operators
in the gauge theories to wrapped D3-brane states in the AdS dual description.
We finally demonstrate that the other known examples of toric duality are
related by N=1 duality, a fact which we conjecture holds generally.Comment: 46 pages, 2 figures, harvma
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