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We initiate the classification of unitary superconformal defects in unitary superconformal field theories (SCFT) of diverse spacetime dimensions $3\leq d \leq 6$. Our method explores general constraints from the defect superconformal…

High Energy Physics - Theory · Physics 2020-10-13 Nathan B. Agmon , Yifan Wang

We derive conserved charges as quasi-local Hamiltonians by covariant phase space methods for a class of geometric Lagrangians that can be written in terms of the spin connection, the vielbein and possibly other tensorial form fields,…

General Relativity and Quantum Cosmology · Physics 2010-05-19 Elias Gravanis

In this work we present analytical and numerical evidences that classical integrable models possessing infinitely many degrees of freedom unexpectedly exhibit some features that are typical of chaotic systems. By studying how the conserved…

High Energy Physics - Theory · Physics 2023-12-01 Stefano Negro , Fedor K. Popov , Jacob Sonnenschein

We consider the isotropic spin-1/2 Heisenberg spin chain weakly perturbed by a local translationally- and SU(2)-invariant perturbation. Starting from the local integrals of motion of the unperturbed model, we modify them in order to obtain…

Statistical Mechanics · Physics 2020-12-10 Savvas Malikis , Denis Kurlov , Vladimir Gritsev

Conformal field theory (CFT) with the central charge c=1 is important both in the field theory and in the condensed matter physics, since it has the continuous internal symmetry (U(1) or SU(2)) and a marginal operator, and it is an…

Condensed Matter · Physics 2007-05-23 Kiyohide Nomura

Adaptive perturbation is a new method for perturbatively computing the eigenvalues and eigenstates of quantum mechanical Hamiltonians that are widely believed not to be solvable by such methods. The novel feature of adaptive perturbation…

High Energy Physics - Theory · Physics 2008-11-26 Marvin Weinstein

The $Z_N$-invariant chiral Potts model is considered as a perturbation of a $Z_N$ conformal field theory. In the self-dual case the renormalization group equations become simple, and yield critical exponents and anisotropic scaling which…

High Energy Physics - Theory · Physics 2009-10-22 John L. Cardy

A conformal field theory can be recovered, via the Kontsevich-Miwa transform, as a solution to the Virasoro constraints on the KP tau function. That theory, which we call KM CFT, consists of d \leq 1 matter plus a scalar and a dressing…

High Energy Physics - Theory · Physics 2007-05-23 Beatriz Gato-Rivera , Jose Ignacio Rosado

We examine two-dimensional conformal field theories (CFTs) at central charge c=0. These arise typically in the description of critical systems with quenched disorder, but also in other contexts including dilute self-avoiding polymers and…

High Energy Physics - Theory · Physics 2016-11-23 V. Gurarie , A. W. W. Ludwig

We study correlation functions of parafermionic currents and disorder fields in the Z(N) symmetric conformal field theory perturbed by the first thermal operator. Following the ideas of Al. Zamolodchikov, we develop for the correlation…

High Energy Physics - Theory · Physics 2013-10-15 V. A. Fateev , Y. P. Pugai

The form-factor bootstrap approach is applied to the perturbed minimal models $M_{2,2n+3}$ in the direction of the primary field $\phi_{1,3}$. These theories are integrable and contain $n$ massive scalar particles, whose $S$--matrix is…

High Energy Physics - Theory · Physics 2009-10-28 A. Koubek

In this work, conserved charges and fluxes at the future null infinity are determined in the asymptotically flat spacetime for Chern-Simons modified gravity. The flux-balance laws are used to constrain the memory effects. For tensor…

General Relativity and Quantum Cosmology · Physics 2022-04-22 Shaoqi Hou , Tao Zhu , Zong-Hong Zhu

In this work, we formulate a path-integral optimization for two dimensional conformal field theories perturbed by relevant operators. We present several evidences how this optimization mechanism works, based on calculations in free field…

High Energy Physics - Theory · Physics 2018-07-13 Arpan Bhattacharyya , Pawel Caputa , Sumit R. Das , Nilay Kundu , Masamichi Miyaji , Tadashi Takayanagi

The perturbation theory for critical points of causal variational principles is developed. We first analyze the class of perturbations obtained by multiplying the universal measure by a weight function and taking the push-forward under a…

Mathematical Physics · Physics 2020-08-26 Felix Finster

A new general approach is introduced for definining an optimum zero-order Hamiltonian for Rayleigh-Schr\"odinger perturbation theory. Instead of taking the operator directly from a model problem, it is constructed to be a best fit to the…

Quantum Physics · Physics 2021-12-09 Peter J. Knowles

In this paper, we prove that the "conformal collider bounds" originally proposed by Hofman and Maldacena hold for any unitary parity-preserving conformal field theory (CFT) with a unique stress tensor in spacetime dimensions larger than 2.…

High Energy Physics - Theory · Physics 2016-09-13 Diego M. Hofman , Daliang Li , David Meltzer , David Poland , Fernando Rejon-Barrera

After introducing gauge-invariant cosmological perturbation theory we give an improved set of governing equations for multiple fluids including energy transfer. Having defined adiabatic and entropic perturbations we derive the…

Astrophysics · Physics 2007-05-23 Karim A. Malik

In the 1+1D ultra-local lattice Hamiltonian for staggered fermions with a finite-dimensional Hilbert space, there are two conserved, integer-valued charges that flow in the continuum limit to the vector and axial charges of a massless Dirac…

High Energy Physics - Theory · Physics 2025-01-15 Arkya Chatterjee , Salvatore D. Pace , Shu-Heng Shao

We investigate perturbatively tractable deformations of topological defects in two-dimensional conformal field theories. We perturbatively compute the change in the $g$-factor, the reflectivity, and the entanglement entropy of the conformal…

High Energy Physics - Theory · Physics 2021-05-19 Enrico M. Brehm

We propose an alternative description of 2 dimensional Conformal Field Theory in terms of Quantum Inverse Scattering. It is based on the generalized KdV systems attached to $A_2^{(2)}$, yielding the classical limit of Virasoro as Poisson…

High Energy Physics - Theory · Physics 2009-10-28 Davide Fioravanti , Francesco Ravanini , Marian Stanishkov