2,611 research outputs found
Supersymmetric Indices of 3d S-fold SCFTs
Enhancement of global symmetry and supersymmetry in the infrared is one of
the most intriguing phenomena in quantum field theory. We investigate such
phenomena in a large class of three dimensional superconformal field theories,
known as the S-fold SCFTs. Supersymmetric indices are computed for a number of
theories containing small rank gauge groups. It is found that indices of
several models exhibit enhancement of supersymmetry at the superconformal fixed
point in the infrared. Dualities between S-fold theories that have different
quiver descriptions are also analysed. We explore a new class of theories with
a discrete global symmetry, whose gauge symmetry in the quiver has a different
global structure from those that have been studied earlier.Comment: 32 pages and several figures. Version 2: minor corrections and
references adde
Quantum Tomography
This is the draft version of a review paper which is going to appear in
"Advances in Imaging and Electron Physics"Comment: To appear in "Advances in Imaging and Electron Physics". Some figs
with low resolutio
Mixed Anomalies, Two-groups, Non-Invertible Symmetries, and 3d Superconformal Indices
Mixed anomalies, higher form symmetries, two-group symmetries and
non-invertible symmetries have proved to be useful in providing non-trivial
constraints on the dynamics of quantum field theories. We study mixed anomalies
involving discrete zero-form global symmetries, and possibly a one-form
symmetry, in 3d gauge theories using the superconformal
index. The effectiveness of this method is demonstrated via several classes of
theories, including Chern-Simons-matter theories, such as the
gauge theory with hypermultiplets of diverse charges, the
theory of Gaiotto-Witten, the theories with gauge
algebra and hypermultiplets in the vector representation, and variants of the
Aharony-Bergman-Jafferis (ABJ) theory with the orthosymplectic gauge algebra.
Gauging appropriate global symmetries of some of these models, we obtain
various interesting theories with non-invertible symmetries or two-group
structures.Comment: 45 pages; v2: references added; v3: typo correction and references
added, published versio
A 5d perspective on the compactifications of 6d SCFTs to 4d SCFTs
Compactifying 6d superconformal field theories (SCFTs) to 4d
theories on two-punctured spheres (tubes) and tori with flux is realized using
duality domain walls in 5d Kaluza-Klein (KK) theories, which
are usually denoted by . We revisit this construction
and study it in detail from the 5d perspective, specifically rephrasing it
using the box graph description of the extended Coulomb branch phases of 5d
theories. This perspective could be helpful in understanding how to
equivalently realize the 4d models from geometric engineering
in M-theory. Along the way, we show how to recover various properties of the 4d
theories from the 5d perspective, such as the flux associated to the domain
wall configurations and the presence of a global symmetry in
the 4d theory descending from the KK symmetry on the tube, which is broken to a
discrete subgroup on a flux torus. We demonstrate all of these ideas using the
rank 1 E-string theory.Comment: 50 pages, 16 figure
Improving information/disturbance and estimation/distortion trade-offs with non universal protocols
We analyze in details a conditional measurement scheme based on linear
optical components, feed-forward loop and homodyne detection. The scheme may be
used to achieve two different tasks. On the one hand it allows the extraction
of information with minimum disturbance about a set of coherent states. On the
other hand, it represents a nondemolitive measurement scheme for the
annihilation operator, i.e. an indirect measurement of the Q-function. We
investigate the information/disturbance trade-off for state inference and
introduce the estimation/distortion trade-off to assess estimation of the
Q-function. For coherent states chosen from a Gaussian set we evaluate both
information/disturbance and estimation/distortion trade-offs and found that non
universal protocols may be optimized in order to achieve better performances
than universal ones. For Fock number states we prove that universal protocols
do not exist and evaluate the estimation/distortion trade-off for a thermal
distribution.Comment: 10 pages, 6 figures; published versio
Rethinking mirror symmetry as a local duality on fields
We introduce an algorithm to piecewise dualise linear quivers into their
mirror dual. The algorithm uses two basic duality moves and the properties of
the -wall which can all be derived by iterative applications of Seiberg-like
dualities.Comment: 6 pages, 5 figures; v3: Figure 2 revised, the introduction and
comments sections elaborate
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