45 research outputs found
Discontinuity relations for the AdS(4)/CFT(3) correspondence
We study in detail the analytic properties of the Thermodynamic Bethe Ansatz
(TBA) equations for the anomalous dimensions of composite operators in the
planar limit of the 3D N=6 superconformal Chern-Simons gauge theory and derive
functional relations for the jump discontinuities across the branch cuts in the
complex rapidity plane. These relations encode the analytic structure of the Y
functions and are extremely similar to the ones obtained for the
previously-studied AdS(5)/CFT(4) case. Together with the Y-system and more
basic analyticity conditions, they are completely equivalent to the TBA
equations. We expect these results to be useful to derive alternative nonlinear
integral equations for the AdS(4)/CFT(3) spectrum.Comment: 33 pages, 9 figure
Exact results for the low energy AdS(4)XCP(3) string theory
We derive the Thermodynamic Bethe Ansatz equations for the relativistic sigma
model describing the AdS(4)XCP(3) string II A theory at strong coupling (i.e.
in the Alday-Maldacena decoupling limit). The corresponding Y-system involves
an infinite number of Y functions and is of a new type, although it shares a
peculiar feature with the Y-system for AdS(4)XCP(3). A truncation of the
equations at level p and a further generalisation to generic rank N allow us an
alternative description of the theory as the N=4, p= \infty representative in
an infinite family of models corresponding to the conformal cosets CP(N-1)_p X
U(1), perturbed by a relevant composite field \phi(N,p) =\phi_[CP(N-1)_p] X
\phi[U(1)] that couples the two independent conformal field theories. The
calculation of the ultraviolet central charge confirms the conjecture by Basso
and Rej and the conformal dimension of the perturbing operator, at every N and
p, is obtained using the Y-system periodicity. The conformal dimension of
\phi[CP(N-1)_p] matches that of the field identified by Fendley while
discussing integrability issues for the purely bosonic CP(N-1) sigma model.Comment: Latex fil
The full Quantum Spectral Curve for
The spectrum of planar N=6 superconformal Chern-Simons theory, dual to type
IIA superstring theory on , is accessible at finite coupling
using integrability. Starting from the results of [arXiv:1403.1859], we study
in depth the basic integrability structure underlying the spectral problem, the
Quantum Spectral Curve. The new results presented in this paper open the way to
the quantitative study of the spectrum for arbitrary operators at finite
coupling. Besides, we show that the Quantum Spectral Curve is embedded into a
novel kind of Q-system, which reflects the OSp(4|6) symmetry of the theory and
leads to exact Bethe Ansatz equations. The discovery of this algebraic
structure, more intricate than the one appearing in the case,
could be a first step towards the extension of the method to .Comment: 43 + 27 pages, 7 figures. v4: text improved, more details and App D
included. This is the same as the published version JHEP09(2017)140, with
small typos corrected in App
LocoMuJoCo: A Comprehensive Imitation Learning Benchmark for Locomotion
Imitation Learning (IL) holds great promise for enabling agile locomotion in
embodied agents. However, many existing locomotion benchmarks primarily focus
on simplified toy tasks, often failing to capture the complexity of real-world
scenarios and steering research toward unrealistic domains. To advance research
in IL for locomotion, we present a novel benchmark designed to facilitate
rigorous evaluation and comparison of IL algorithms. This benchmark encompasses
a diverse set of environments, including quadrupeds, bipeds, and
musculoskeletal human models, each accompanied by comprehensive datasets, such
as real noisy motion capture data, ground truth expert data, and ground truth
sub-optimal data, enabling evaluation across a spectrum of difficulty levels.
To increase the robustness of learned agents, we provide an easy interface for
dynamics randomization and offer a wide range of partially observable tasks to
train agents across different embodiments. Finally, we provide handcrafted
metrics for each task and ship our benchmark with state-of-the-art baseline
algorithms to ease evaluation and enable fast benchmarking.Comment: https://github.com/robfiras/loco-mujoc