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In this paper, we study the charged-particle dynamics under strong magnetic field in a toroidal axi-symmetric geometry. Using modulated Fourier expansions of the exact and numerical solutions, the long-term drift motion of the exact…

Numerical Analysis · Mathematics 2022-11-04 Yanyan Shi

In this paper we study the effect of a torus topology on Loop Quantum Cosmology. We first derive the Teichmueller space parametrizing all possible tori using Thurston's theorem and construct a Hamiltonian describing the dynamics of these…

General Relativity and Quantum Cosmology · Physics 2009-09-15 Raphael Lamon

We compute three-point functions of general operators in the su(1|1) sector of planar N = 4 SYM in the weak coupling regime, both at tree-level and one-loop. Each operator is represented by a closed spin chain Bethe state characterized by a…

High Energy Physics - Theory · Physics 2015-06-19 Joao Caetano , Thiago Fleury

We present the three-loop calculation of the Bremsstrahlung function associated to the 1/2-BPS cusp in ABJM theory, including color subleading corrections. Using the BPS condition we reduce the computation to that of a cusp with vanishing…

High Energy Physics - Theory · Physics 2017-09-13 Marco S. Bianchi , Luca Griguolo , Andrea Mauri , Silvia Penati , Michelangelo Preti , Domenico Seminara

We describe some results concerning the phase space of 3-dimensional Einstein gravity when space is a torus and with negative cosmological constant. The approach uses the holonomy matrices of flat SL(2,R) connections on the torus to…

Mathematical Physics · Physics 2007-05-23 J. E. Nelson , R. F. Picken

D = 2+1 gravity with a cosmological constant has been shown by Bonzom and Livine to present a Barbero-Immirzi like ambiguity depending on a parameter. We make use of this fact to show that, for positive cosmological constant, the Lorentzian…

General Relativity and Quantum Cosmology · Physics 2015-06-04 Rodrigo M. S. Barbosa , Clisthenis P Constantinidis , Zui Oporto , Olivier Piguet

We revisit the consistency of torus partition functions in (1+1)$d$ fermionic conformal field theories, combining traditional ingredients of modular invariance/covariance with a modernized understanding of bosonization/fermionization…

High Energy Physics - Theory · Physics 2020-11-11 Nathan Benjamin , Ying-Hsuan Lin

In earlier papers [3,4,5,6] Gursey et al. showed development of a bilocal baryon-meson field from two quark-antiquark fields. The Hamiltonian in the case of vanishing quark masses was shown to have a very good agreement with experiments…

Mathematical Physics · Physics 2014-11-07 Yoon Seok Choun

We consider a generic diffusion on the 1D torus and give a simple representation formula for the large deviation rate functional of its invariant probability measure, in the limit of vanishing noise. Previously, this rate functional had…

Probability · Mathematics 2010-10-12 A. Faggionato , D. Gabrielli

We compute the generating function of random planar quadrangulations with three marked vertices at prescribed pairwise distances. In the scaling limit of large quadrangulations, this discrete three-point function converges to a simple…

Mathematical Physics · Physics 2008-07-24 J. Bouttier , E. Guitter

We study the conformal bootstrap for a 4-point function of fermions $\langle\psi\psi\psi\psi\rangle$ in 3D. We first introduce an embedding formalism for 3D spinors and compute the conformal blocks appearing in fermion 4-point functions.…

High Energy Physics - Theory · Physics 2016-07-08 Luca Iliesiu , Filip Kos , David Poland , Silviu S. Pufu , David Simmons-Duffin , Ran Yacoby

Supersymmetric localization provides exact results that should match QFT computations in some regularization scheme. The agreement is particularly subtle in three dimensions where complex answers from localization procedure sometimes arise.…

High Energy Physics - Theory · Physics 2016-07-20 Marco S. Bianchi , Luca Griguolo , Matias Leoni , Andrea Mauri , Silvia Penati , Domenico Seminara

This work presents the calculation of the relation between the bare coupling constant g_0 and the MSbar-renormalized coupling g_MS, g_0 = Z_g(g_0,a\mu) g_MS, to 2 loops in perturbation theory, with fermions in an arbitrary representation of…

High Energy Physics - Lattice · Physics 2008-11-26 M. Constantinou , H. Panagopoulos

We investigate under which conditions the cosmological constant vanishes perturbatively at the one-loop level for heterotic strings on non-supersymmetric toroidal orbifolds. To obtain model-independent results, which do not rely on the…

High Energy Physics - Theory · Physics 2017-10-26 Stefan Groot Nibbelink , Orestis Loukas , Andreas Mütter , Erik Parr , Patrick K. S. Vaudrevange

In this work we calculate the low-energy effective action for gravity with torsion, obtained after the integration of scalar and fermionic matter fields, using the local momentum representation based on the Riemann normal coordinates…

High Energy Physics - Theory · Physics 2008-11-26 Antonio Dobado , Antonio L. Maroto

For models of non-interacting fermions moving within sites arranged on a surface in three dimensional space, there can be obstructions to finding localized Wannier functions. We show that such obstructions are $K$-theoretic obstructions to…

Mathematical Physics · Physics 2015-05-14 M. B. Hastings , T. A. Loring

This paper contains an attempt to formulate rigorously and to check predictions in enumerative geometry of curves following from Mirror Symmetry. The main tool is a new notion of stable map. We give an outline of a contsruction of…

High Energy Physics - Theory · Physics 2008-02-03 M. Kontsevich

We investigate quantum field theories in two dimensions (2d) with an underlying Bondi-van der Burgh-Metzner-Sachs (BMS) symmetry augmented by $\mathfrak{u}(1)$ currents. These field theories are expected to holographically capture features…

High Energy Physics - Theory · Physics 2023-06-14 Arjun Bagchi , Ritankar Chatterjee , Rishabh Kaushik , Sanchari Pal , Max Riegler , Debmalya Sarkar

The graviton 1-loop partition function is calculated for Euclidean generalised massive gravity (GMG) using AdS heat kernel techniques. We find that the results fit perfectly into the AdS/(L)CFT picture. Conformal Chern-Simons gravity, a…

High Energy Physics - Theory · Physics 2011-06-28 Mario Bertin , Daniel Grumiller , Dmitri Vassilevich , Thomas Zojer

Recent progresses in the computation of quantum string corrections to holographic Wilson loops are extended to the case of strings in $AdS_{4}\times CP^{3}$. For this, the ratio of 1/2-BPS circular and 1/6-BPS latitude fermionic Wilson…

High Energy Physics - Theory · Physics 2019-10-02 Daniel Medina-Rincon
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