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"Wilson, S"
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Greater freedom
Greater Freedom offers a groundbreaking long-term community study of Wilson County, North Carolina. Charting the evolution of Wilson's civil rights movement, Charles McKinney argues that African Americans in Wilson created an expansive notion of freedom that influenced every aspect of life in the region and directly confronted the state's reputation for moderation. Through exhaustive research and a compelling narrative, McKinney chronicles the approaches and perspectives that blacks in this eastern North Carolina county utilized to confront white supremacy. In the face of violence, intimidation, and marginalization, voting rights activists, educational reformers, the collaboration of union members, students, and working class black women activists in Wilson built a grassroots movement that helped shape the course of the national civil rights movement in America.
eBook
Study of gapped phases of 4d gauge theories using temporal gauging of the ℤN 1-form symmetry
A
bstract
To study gapped phases of 4d gauge theories, we introduce the temporal gauging of ℤ
N
1-form symmetry in 4d quantum field theories (QFTs), thereby defining effective 3d QFTs with
ℤ
~
N
× ℤ
N
1-form symmetry. In this way, spatial fundamental Wilson and ’t Hooft loops are simultaneously genuine line operators. Assuming a mass gap and Lorentz invariant vacuum of the 4d QFT, the
ℤ
~
N
× ℤ
N
symmetry must be spontaneously broken to an order-
N
subgroup
H
, and we can classify the 4d gapped phases by specifying
H
. This establishes the 1-to-1 correspondence between the two classification schemes for gapped phases of 4d gauge theories: one is the conventional Wilson-’t Hooft classification, and the other is the modern classification using the spontaneous breaking of 4d 1-form symmetry enriched with symmetry-protected topological states.
Journal Article
Semi-Abelian gauge theories, non-invertible symmetries, and string tensions beyond N-ality
A
bstract
We study a 3d lattice gauge theory with gauge group U(1)
N−
1
⋊ S
N
, which is obtained by gauging the S
N
global symmetry of a pure U(1)
N−
1
gauge theory, and we call it the semi-Abelian gauge theory. We compute mass gaps and string tensions for both theories using the monopole-gas description. We find that the effective potential receives equal contributions at leading order from monopoles associated with the entire SU(
N
) root system. Even though the center symmetry of the semi-Abelian gauge theory is given by ℤ
N
, we observe that the string tensions do not obey the
N
-ality rule and carry more detailed information on the representations of the gauge group. We find that this refinement is due to the presence of non-invertible topological lines as a remnant of U(1)
N−
1
one-form symmetry in the original Abelian lattice theory. Upon adding charged particles corresponding to
W
-bosons, such non-invertible symmetries are explicitly broken so that the
N
-ality rule should emerge in the deep infrared regime.
Journal Article
t Hooft loops and integrability
A
bstract
We consider the defect CFT defined by a ’t Hooft line embedded in
N
= 4 super Yang-Mills theory. By explicitly quantizing around the given background we exactly reproduce a prediction from S-duality for the correlators between the ’t Hooft line and chiral primaries in the bulk and pave the way for higher loop analyses for non-protected operators. Furthermore, we demonstrate at the leading perturbative order that correlators between the ’t Hooft line and non-protected bulk operators can be efficiently computed using integrability. As a byproduct we find new integrable overlaps in
sl
(2) spin chains in different representations.
Journal Article
Making the World Safe for Workers
In this intellectually ambitious study, Elizabeth McKillen explores the significance of Wilsonian internationalism for workers and the influence of American labor in both shaping and undermining the foreign policies and war mobilization efforts of Woodrow Wilson's administration. McKillen highlights the major fault lines and conflicts that emerged within labor circles as Wilson pursued his agenda in the context of Mexican and European revolutions, World War I, and the Versailles Peace Conference. As McKillen shows, the choice to collaborate with or resist U.S. foreign policy remained an important one for labor throughout the twentieth century. In fact, it continues to resonate today in debates over the global economy, wars in Iraq and Afghanistan, and the impact of U.S. policies on workers at home and abroad.
eBook
