1,270 research outputs found
Two-Loop Superstrings in Hyperelliptic Language III: the Four-Particle Amplitude
We compute explicitly the four-particle amplitude in superstring theories by
using the hyperelliptic language and the newly obtained chiral measure of
D'Hoker and Phong. Although the algebra of the intermediate steps is a little
bit involved, we obtain a quite simple expression for the four-particle
amplitude. As expected, the integrand is independent of all the insertion
points. As an application of the obtained result, we show that the perturbative
correction to the term in type II superstring theories is vanishing
point-wise in (even) moduli space at two loops.Comment: v1, LaTex file, 33 pages; v2, 34 pages, add references and minor
correction
BPS -branes in Dual to Loop Operators
In this paper, we first compute the Killing spinors of and its certain orbifolds. Based on this, two classes of -brane
solutions are found. The first class of solutions includes -branes dual to
Wilson loops in the fundamental representation as special cases. The second
class includes the candidates of the holographic description of vortex loops in
the dual field theories.Comment: v6, typoes fixed, 14 pages, no figure
Comments on Two-Loop Four-Particle Amplitude in Superstring Theory
It is shown that the four-particle amplitude of superstring theory at two
loops obtained in [1,2] is equivalent to the previously obtained results in
[3,4,5]. Here the symmetry in hyperelliptic Riemann surface plays
an important role in the proof.Comment: 10 pages, Latex fil
Holographical Description of BPS Wilson Loops in Flavored ABJM Theory
As holographic description of BPS Wilson loops in flavored ABJM
theory with , BPS M2-branes in are studied in
details. Two -BPS membrane configurations are found. One of them is dual
to the -BPS Wilson loop of Gaiotto-Yin type. The regulated membrane action
captures precisely the leading exponential behavior of the vacuum expectation
values of -BPS Wilson loops in the strong coupling limit, which was
computed before using supersymmetric localization technique. Moreover, there is
no BPS membrane with more supersymmetries in the background, under quite
natural assumption on the membrane worldvolume. This suggests that there is no
Wilson loop preserving more than 1/3 supersymmetries in such flavored ABJM
theory.Comment: v3, 19 pages, no figures, typoes fixe
EGSDE: Unpaired Image-to-Image Translation via Energy-Guided Stochastic Differential Equations
Score-based diffusion generative models (SDGMs) have achieved the SOTA FID
results in unpaired image-to-image translation (I2I). However, we notice that
existing methods totally ignore the training data in the source domain, leading
to sub-optimal solutions for unpaired I2I. To this end, we propose
energy-guided stochastic differential equations (EGSDE) that employs an energy
function pretrained on both the source and target domains to guide the
inference process of a pretrained SDE for realistic and faithful unpaired I2I.
Building upon two feature extractors, we carefully design the energy function
such that it encourages the transferred image to preserve the
domain-independent features and discard domainspecific ones. Further, we
provide an alternative explanation of the EGSDE as a product of experts, where
each of the three experts (corresponding to the SDE and two feature extractors)
solely contributes to faithfulness or realism. Empirically, we compare EGSDE to
a large family of baselines on three widely-adopted unpaired I2I tasks under
four metrics. EGSDE not only consistently outperforms existing SDGMs-based
methods in almost all settings but also achieves the SOTA realism results
(e.g., FID of 65.82 in Cat to Dog and FID of 59.75 in Wild to Dog on AFHQ)
without harming the faithful performance
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