281 research outputs found
From Swampland to Phenomenology and Back
Swampland conjectures are a set of proposed necessary conditions for a
low-energy effective field theory to have a UV completion inside a theory of
quantum gravity. Swampland conjectures have interesting phenomenological
consequences, and conversely phenomenological considerations are useful
guidelines in sharping our understanding of quantum gravity.Comment: 6 pages, 3 figures, contribution to the 2019 EW session of the 54th
Rencontres de Moriond, v2: references adde
New Integrable Models from the Gauge/YBE Correspondence
We introduce a class of new integrable lattice models labeled by a pair of
positive integers N and r. The integrable model is obtained from the Gauge/YBE
correspondence, which states the equivalence of the 4d N=1 S^1 \times S^3/Z_r
index of a large class of SU(N) quiver gauge theories with the partition
function of 2d classical integrable spin models. The integrability of the model
(star-star relation) is equivalent with the invariance of the index under the
Seiberg duality. Our solution to the Yang-Baxter equation is one of the most
general known in the literature, and reproduces a number of known integrable
models. Our analysis identifies the Yang-Baxter equation with a particular
duality (called the Yang-Baxter duality) between two 4d N=1 supersymmetric
quiver gauge theories. This suggests that the integrability goes beyond 4d lens
indices and can be extended to the full physical equivalence among the IR fixed
points.Comment: 20 pages, 9 figure
Relating 't Hooft Anomalies of 4d Pure Yang-Mills and 2d Model
It has recently been shown that a center-twisted compactification of the
four-dimensional pure Yang-Mills theory on a three-torus gives rise to
the two-dimensional -model on a circle with a flavor-twisted
boundary condition. We verify the consistency of this statement
non-perturbatively at theta angle , in terms of the mixed 't Hooft
anomalies for flavor symmetries and the time-reversal symmetry. This provides
further support for the approach to the confinement of four-dimensional
Yang-Mills theory from the two-dimensional -model.Comment: 6 pages; v3: published versio
From 4d Yang-Mills to 2d model: IR problem and confinement at weak coupling
We study four-dimensional Yang-Mills theory on , with a
twisted boundary condition by a center symmetry imposed on
. This setup has no IR zero modes and hence is free from IR
divergences which could spoil trans-series expansion for physical observables.
Moreover, we show that the center symmetry is preserved at weak coupling
regime. This is shown by first reducing the theory on , to connect the model to the two-dimensional -model.
Then, we prove that the twisted boundary condition by the center symmetry for
the Yang-Mills is reduced to the twisted boundary condition by the
global symmetry of . There are classical
vacua, and fractional instantons connecting those vacua dynamically restore
the center symmetry. We also point out the presence of singularities on the
Borel plane which depend on the shape of the compactification manifold, and
comment on its implications.Comment: 37 pages, 5 figures; v2:references adde
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