scholarly journals SUSY in the sky with gravitons

2022 ◽  
Vol 2022 (1) ◽  
Author(s):  
Gustav Uhre Jakobsen ◽  
Gustav Mogull ◽  
Jan Plefka ◽  
Jan Steinhoff

Abstract Picture yourself in the wave zone of a gravitational scattering event of two massive, spinning compact bodies (black holes, neutron stars or stars). We show that this system of genuine astrophysical interest enjoys a hidden $$ \mathcal{N} $$ N = 2 supersymmetry, at least to the order of spin-squared (quadrupole) interactions in arbitrary D spacetime dimensions. Using the $$ \mathcal{N} $$ N = 2 supersymmetric worldline action, augmented by finite-size corrections for the non-Kerr black hole case, we build a quadratic-in-spin extension to the worldline quantum field theory (WQFT) formalism introduced in our previous work, and calculate the two bodies’ deflection and spin kick to sub-leading order in the post-Minkowskian expansion in Newton’s constant G. For spins aligned to the normal vector of the scattering plane we also obtain the scattering angle. All D-dimensional observables are derived from an eikonal phase given as the free energy of the WQFT that is invariant under the $$ \mathcal{N} $$ N = 2 supersymmetry transformations.

2020 ◽  
Vol 2020 (8) ◽  
Author(s):  
Dimitrios Zoakos

Abstract We study finite size corrections to the semiclassical string solutions of the Schrödinger spacetime. We compute the leading order exponential corrections to the infinite size dispersion relation of the single spin giant magnon and of the single spin single spike solutions. The solutions live in a S3 subspace of the five-sphere and extent in the Schrödinger part of the metric. In the limit of zero deformation the finite size dispersion relations flow to the undeformed AdS5 × S5 counterparts and in the infinite size limit the correction term vanishes and the known infinite size dispersion relations are obtained.


1997 ◽  
Vol 12 (33) ◽  
pp. 2503-2509
Author(s):  
B. E. Hanlon

The exact form of finite size corrections is determined for the Ising model on 2-D planar random surfaces for any Ising temperature. The behaviour of these in the context of reliably extracting meaningful values for observables from numerical studies is investigated. In particular, it is noted that the leading order correction need not dominate.


2008 ◽  
Vol 23 (14n15) ◽  
pp. 2239-2240
Author(s):  
YASUYUKI HATSUDA

We compute finite-size corrections to dyonic giant magnons in two ways1. One is by using classical string solutions corresponding to finite-size dyonic giant magnons called "helical strings". The other is by applying the Lüscher formula known in relativistic quantum field theory to the case in which incoming particles are boundstates. We find these two methods lead the same result.


2021 ◽  
Vol 2021 (6) ◽  
Author(s):  
Renato Maria Prisco ◽  
Francesco Tramontano

Abstract We propose a novel local subtraction scheme for the computation of Next-to-Leading Order contributions to theoretical predictions for scattering processes in perturbative Quantum Field Theory. With respect to well known schemes proposed since many years that build upon the analysis of the real radiation matrix elements, our construction starts from the loop diagrams and exploits their dual representation. Our scheme implements exact phase space factorization, handles final state as well as initial state singularities and is suitable for both massless and massive particles.


Author(s):  
Scott M. Miller

As is well known, analysis of two surfaces in mesh plays a fundamental role in gear theory. In the past, special coordinate systems, vector algebra, or screw theory was used to analyze the kinematics of meshing. The approach here instead relies on geometric algebra, an extension of conventional vector algebra. The elegance of geometric algebra for theoretical developments is demonstrated by examining the so-called “equation of meshing,” which requires that the relative velocity of two bodies at a point of contact be perpendicular to the common surface normal vector. With surprisingly little effort, several alternative forms of the equation of meshing are generated and, subsequently, interpreted geometrically. Via straightforward algebraic manipulations, the results of screw theory and vector algebra are unified. Due to the simplicity with which complex geometric concepts are expressed and manipulated, the effort required to grasp the general three-dimensional meshing of surfaces is minimized.


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