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We continue our study of a generalization of the D-dimensional linearized Vasiliev higher-spin equations to include a tower of partially massless (PM) fields. We compute one-loop effective actions by evaluating zeta functions for both the…

High Energy Physics - Theory · Physics 2017-04-20 Christopher Brust , Kurt Hinterbichler

In massless quantum field theories the Landau equations are invariant under graph operations familiar from the theory of electrical circuits. Using a theorem on the $Y$-$\Delta$ reducibility of planar circuits we prove that the set of…

High Energy Physics - Theory · Physics 2018-08-29 Igor Prlina , Marcus Spradlin , Stefan Stanojevic

We show that it is impossible to improve the high-energy behavior of the tree-level four-point amplitude of a massive spin-2 particle by including the exchange of any number of scalars and vectors in four spacetime dimensions. This…

High Energy Physics - Theory · Physics 2019-10-16 James Bonifacio , Kurt Hinterbichler , Rachel A. Rosen

We carry out a perturbative study of the Leigh-Strassler deformed N=4 SYM theory in order to verify that the trihedral Delta(27) symmetry holds in the quantum theory. We show that the Delta(27) symmetry is preserved to two loops (at finite…

High Energy Physics - Theory · Physics 2007-10-31 Kallingalthodi Madhu , Suresh Govindarajan

We study Vasiliev's system of higher spin gauge fields coupled to massive scalars in AdS_3, and compute the tree level two and three point functions. These are compared to the large N limit of the W_N minimal model, and nontrivial…

High Energy Physics - Theory · Physics 2015-05-28 Chi-Ming Chang , Xi Yin

A minimal Kitaev-Gamma model has been recently investigated to understand various Kitaev systems. In the one-dimensional Kitaev-Gamma chain, an emergent SU(2)$_1$ phase and a rank-1 spin ordered phase with $O_h\rightarrow D_4$ symmetry…

Strongly Correlated Electrons · Physics 2021-03-03 Wang Yang , Alberto Nocera , Erik S. Sørensen , Hae-Young Kee , Ian Affleck

The Kaluza-Klein compactification in the limit of large number of extra dimensions is studied. Starting point is the Einstein-Hilbert action plus cosmological constant in 4+D dimensions. It is shown that in the large D limit the effective…

General Relativity and Quantum Cosmology · Physics 2009-11-05 Fabrizio Canfora , Alex Giacomini , Alfonso R. Zerwekh

We explore the quantum properties of self-dual gravity formulated as a large $N$ two-dimensional WZW sigma model. Using a non-trivial classical background, we show that a $(2,2)$ space-time is generated. The theory contains an infinite…

High Energy Physics - Theory · Physics 2009-10-30 A. Jevicki , M. Mihailescu , J. P. Nunes

A vanishing one-loop wave function of the Universe in the limit of small three-geometry is found, on imposing diffeomorphism-invariant boundary conditions on the Euclidean 4-ball in the de Donder gauge. This result suggests a quantum…

High Energy Physics - Theory · Physics 2009-11-11 Giampiero Esposito , Guglielmo Fucci , Alexander Yu. Kamenshchik , Klaus Kirsten

We study a model of spinless fermions with infinite nearest-neighbor repulsion on the square ladder which has microscopic supersymmetry. It has been conjectured that in the continuum the model is described by the superconformal minimal…

Strongly Correlated Electrons · Physics 2013-05-06 Bela Bauer , Liza Huijse , Erez Berg , Matthias Troyer , Kareljan Schoutens

The electron spin resonance doublet indicating the width of the two spinon continuum in a spin-1/2 triangular-lattice Heisenberg antiferromagnet Cs2CuCl4 was studied in high magnetic field. The doublet was found to collapse in a magnetic…

Strongly Correlated Electrons · Physics 2015-07-28 A. I. Smirnov , T. A. Soldatov , K. Yu. Povarov , A. Ya. Shapiro

In four dimensions, it has long been established that gravity coupled to matter exhibits ultraviolet divergences at one loop, irrespective of supersymmetry. Notably, the four-matter one-loop amplitudes of half-maximal supergravity coupled…

High Energy Physics - Theory · Physics 2026-04-02 Yu-tin Huang , Henrik Johansson , Michele Santagata , Congkao Wen

We compute the one-loop contributions of the chronological products for massless gravity in the second order of the perturbation theory. We prove that the loop contributions are coboundaries i.e. expressions which give zero when averaged on…

High Energy Physics - Theory · Physics 2019-05-15 Dan-Radu Grigore

We give a recurrence relation for two-loop integrals encountered in the effective field theory of an infinitely heavy quark, Q, interacting with gluons and Nl massless quarks, q, from which we obtain exact two-loop results, in any dimension…

High Energy Physics - Phenomenology · Physics 2010-11-01 D. J. Broadhurst , A. G. Grozin

The magnetization process of the $S=3/2$ quantum spin chain with the $XXZ$ anisotropy and the single-ion anisotropy $D$ is investigated using the numerical diagonalization of finite-size clusters and the level spectroscopy analysis. We…

Strongly Correlated Electrons · Physics 2025-05-13 Tomohide Kawatsu , Haruto Suzuki , Masaru Hashimoto , Koki Doi , Tomoki Houda , Rito Furuchi , Hiroki Nakano , Kiyomi Okamoto , Tôru Sakai

We study the Renyi entropy of the one-dimensional XYZ spin-1/2 chain in the entirety of its phase diagram. The model has several quantum critical lines corresponding to rotated XXZ chains in their paramagnetic phase, and four tri-critical…

Statistical Mechanics · Physics 2011-02-01 Elisa Ercolessi , Stefano Evangelisti , Fabio Franchini , Francesco Ravanini

${{\cal N}=4}$ supergravity is understood to contain a $U(1)$ anomaly which manifests itself via the nonvanishing of loop-level scattering amplitudes that violate a tree-level charge conservation rule. In this letter we provide detailed…

High Energy Physics - Theory · Physics 2018-11-13 Zvi Bern , Julio Parra-Martinez , Radu Roiban

It is proven that up to possible surface terms, the only non-vanishing momentum-dependent amplitudes for the self-dual N=2 string in $R^{2,2}$ are the tree-level two and three-point functions, and the only non-vanishing momentum-independent…

High Energy Physics - Theory · Physics 2009-10-28 Nathan Berkovits

We consider a string-inspired torsion-dilaton-gravity action in a Randall-Sundrum brane world scenario and show that, in an effective four-dimensional theory on the visible brane, the rank-2 antisymmetric Kalb-Ramond field (source of…

High Energy Physics - Theory · Physics 2009-08-03 Biswarup Mukhopadhyaya , Somasri Sen , Soumitra SenGupta

Self-interacting massive particles with spin $\geq 1$ unavoidably violate unitarity; the question is at what scale. For spin-$1$ the strong coupling scale (at which perturbative unitarity is lost) cannot be raised by any finite tuning of…

High Energy Physics - Theory · Physics 2020-03-18 Scott Melville , Diederik Roest , David Stefanyszyn