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The partition function of general N = 2 supersymmetric SU(2) Yang-Mills theories on a four-sphere localizes to a matrix integral. We show that in the decompactification limit, and in a certain regime, the integral is dominated by a saddle…

High Energy Physics - Theory · Physics 2015-06-23 Jorge G. Russo

We introduce a new way of reconstructing the equation of state of a thermodynamic system near a second order critical point from a finite set of Taylor coefficients computed away from the critical point. We focus on the Ising universality…

High Energy Physics - Theory · Physics 2021-11-03 Gokce Basar

The large-N limit of gauge theories has been playing a crucial role in theoretical physics over the decades. Despite its importance, little is known outside the planar limit where the 't Hooft coupling $\lambda=g_{YM}^2N$ is fixed. In this…

High Energy Physics - Theory · Physics 2015-06-11 Tatsuo Azeyanagi , Mitsutoshi Fujita , Masanori Hanada

We study scalar and symmetric 2-form valued universal curvature identities. We use this to establish the Gauss-Bonnet theorem using heat equation methods, to give a new proof of a result of Kuz'mina and Labbi concerning the Euler-Lagrange…

Differential Geometry · Mathematics 2011-04-12 P. Gilkey , J. H. Park , K. Sekigawa

We propose an integrability setup for the computation of correlation functions of gauge-invariant operators in $\mathcal{N}=4$ supersymmetric Yang-Mills theory at higher orders in the large $N_{\text{c}}$ genus expansion and at any order in…

High Energy Physics - Theory · Physics 2019-06-05 Till Bargheer , Joao Caetano , Thiago Fleury , Shota Komatsu , Pedro Vieira

The effective action in gauge theories is known to depend on a choice of gauge fixing conditions. This dependence is such that any change of gauge conditions is equivalent to a field redefinition in the effective action. In this sense, the…

High Energy Physics - Theory · Physics 2010-04-05 S. M. Kuzenko , I. N. McArthur

We describe a theory living on the null conformal boundary of four-dimensional Minkowski space, whose states include the radiative modes of Yang-Mills theory. The action of a Kac-Moody symmetry algebra on the correlators of these states…

High Energy Physics - Theory · Physics 2015-06-24 Tim Adamo , Eduardo Casali

We demonstrate that the Mott transition exhibits universal scaling as a consequence of the breaking of a $\mathbb{Z}_2$ symmetry in momentum space. A direct consequence of this discrete symmetry breaking is the charge or Mott gap itself.…

Strongly Correlated Electrons · Physics 2025-11-25 Jinchao Zhao , Peizhi Mai , Gaurav Tenkila , Philip W. Phillips

Zero modes of first class secondary constraints in the two-dimensional electrodynamics and the four-dimensional SU(2) Yang-Mills theory are considered by the method of reduced phase space quantization in the context of the problem of a…

High Energy Physics - Theory · Physics 2007-05-23 A. Khvedelidze , V. Pervushin

It is argued that there are strong similarities between the infra-red physics of N=2 supersymmetric Yang-Mills and that of the quantum Hall effect, both systems exhibit a hierarchy of vacua with a sub-group of the modular group mapping…

High Energy Physics - Theory · Physics 2009-11-11 Brian P. Dolan

For commutative Euclidean time, we study the existence of field configurations that {\it a)} are formal power series expansions in $h\theta^{\m\n}$, {\it b)} go to ordinary (anti-)instantons as $h\theta^{\m\n}\to 0$, and {\it c)} render…

High Energy Physics - Theory · Physics 2009-11-11 C. P. Martin , C. Tamarit

We examine six-dimensional quantum field theories through the lens of higher-form global symmetries. Every Yang-Mills gauge theory in six dimensions, with field strength $f^{(2)}$, naturally gives rise to a continuous 1-form global symmetry…

High Energy Physics - Theory · Physics 2021-05-12 Clay Cordova , Thomas T. Dumitrescu , Kenneth Intriligator

It has recently been shown that a center-twisted compactification of the four-dimensional pure $SU(N)$ Yang-Mills theory on a three-torus gives rise to the two-dimensional $\mathbb{CP}^{N-1}$-model on a circle with a flavor-twisted boundary…

High Energy Physics - Theory · Physics 2019-11-05 Masahito Yamazaki

We use quantum kinetic theory to calculate the thermoelectric transport properties of the 2D single band Fermi-Hubbard model in the weak coupling limit. For generic filling, we find that the high-temperature limiting behaviors of the…

Quantum Gases · Physics 2021-11-03 Thomas G. Kiely , Erich J. Mueller

Several results on existence and convergence of the Yang-Mills flow in dimension four are given. We show that a singularity modeled on an instanton cannot form within finite time. Given low initial self-dual energy, we then study…

Differential Geometry · Mathematics 2016-10-12 Alex Waldron

We interpret the A and B model topological strings on CP^{3|4} as equivalent to open N=2 string theory on spacetime with signature (2,2), when covariantized with respect to SO(2,2) and supersymmetrized a la Siegel. We propose that…

High Energy Physics - Theory · Physics 2007-05-23 Andrew Neitzke , Cumrun Vafa

We extend the recent conjecture on the relation between a certain 1/8 BPS subsector of 4d N=4 SYM on S^2 and 2d Yang-Mills theory by turning on circular 1/2 BPS 't Hooft operators linked with S^2. We show that localization predicts that…

High Energy Physics - Theory · Physics 2009-09-24 Simone Giombi , Vasily Pestun

We discuss the universal transport signatures near a zero-temperature continuous Mott transition between a Fermi liquid (FL) and a quantum spin liquid in two spatial dimensions. The correlation-driven transition occurs at fixed filling and…

Strongly Correlated Electrons · Physics 2015-03-20 William Witczak-Krempa , Pouyan Ghaemi , T. Senthil , Yong Baek Kim

Given a principal bundle $P\to M$ over a Riemannian manifold with compact structure group $G$, let us consider a stationary Yang-Mills connection $A$ with energy $\int_M |F_A|^2\le \Lambda$. If we consider a sequence of such connections…

Differential Geometry · Mathematics 2016-10-11 A. Naber , D. Valtorta

We study second order relativistic viscous hydrodynamics in 4-dimensional conformal field theories. We derive Kubo-type relations for second order hydrodynamic coefficients in terms of 3-point stress tensor retarded correlators. For N=4…

High Energy Physics - Theory · Physics 2015-05-28 Peter Arnold , Diana Vaman , Chaolun Wu , Wei Xiao