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We compute the three graviton amplitude in the Banks-Fischler-Shenker-Susskind matrix model for M-theory. Even though the three point amplitude is determined by super Poincare invariance in eleven dimensional M-theory, it requires a…

高能物理 - 理论 · 物理学 2024-01-30 Aidan Herderschee , Juan Maldacena

We test the AdS/CFT correspondence by computing the partition function of some $\mathcal{N}=2$ quiver Chern-Simons-matter theories on three-sphere. The M-theory backgrounds are of the Freund-Rubin type with the seven-dimensional internal…

高能物理 - 理论 · 物理学 2017-09-07 Sangmo Cheon , Hyojoong Kim , Nakwoo Kim

We consider the spectral and dynamical properties of quantum systems of $n$ particles on the lattice $\Z^d$, of arbitrary dimension, with a Hamiltonian which in addition to the kinetic term includes a random potential with iid values at the…

数学物理 · 物理学 2015-05-13 Michael Aizenman , Simone Warzel

We compute the quantum gravity partition function of M-theory on $AdS_4 \times X_7 $ by using localization techniques in four-dimensional gauged supergravity obtained by a consistent truncation on the Sasaki-Einstein manifold $X_{7}$. The…

高能物理 - 理论 · 物理学 2015-06-19 Atish Dabholkar , Nadav Drukker , Joao Gomes

We consider the six-vertex model with the rational weights on an $s\times N$ square lattice, $s\leq N$, with partial domain wall boundary conditions. We study the one-point function at the boundary where the free boundary conditions are…

数学物理 · 物理学 2022-01-13 Mikhail D. Minin , Andrei G. Pronko

Our goal is to find a matrix model with $BMS_3$ constraints built in. These constraints are imposed through Loop equations. We solve them using a free field realisation of the algebra and write down the partition function in eigenvalue…

高能物理 - 理论 · 物理学 2024-06-25 Arindam Bhattacharjee , Neetu

We show that by studying the flat spacetime limit of the Mellin amplitude associated with the four-point correlation function of scalar operators in the stress tensor multiplet of ABJM theory, one can produce the momentum expansion of the…

高能物理 - 理论 · 物理学 2019-06-26 Shai M. Chester , Silviu S. Pufu , Xi Yin

We propose an algorithm to recursively bootstrap $n$-point gluon and graviton Mellin-Momentum amplitudes in (A)dS spacetime using only three-point amplitude. We discover that gluon amplitudes are simply determined by factorization for…

高能物理 - 理论 · 物理学 2024-03-19 Jiajie Mei , Yuyu Mo

Vertical-arrow fluctuations near the boundaries in the six-vertex model on the two-dimensional $N \times N$ square lattice with the domain wall boundary conditions are considered. The one-point correlation function (`boundary polarization')…

统计力学 · 物理学 2009-11-07 N. M. Bogoliubov , A. V. Kitaev , M. B. Zvonarev

We present a quantization condition for the spectrum of a system composed of three identical bosons in a finite volume with periodic boundary conditions. This condition gives a relation between the finite volume spectrum and infinite volume…

高能物理 - 格点 · 物理学 2013-05-29 Raul A. Briceno , Zohreh Davoudi

We embark on computing the longitudinal magnetoconductivity within the semiclassical Boltzmann formalism, where an isotropic triple-point semimetal (TSM) is subjected to collinear electric ($\boldsymbol E $) and magnetic ($\boldsymbol B$)…

介观与纳米尺度物理 · 物理学 2026-01-27 Ipsita Mandal

We discuss the relation among some disk amplitudes with non-trivial boundary conditions in two-dimensional quantum gravity. They are obtained by the two-matrix model as well as the three-matirx model for the case of the tricritical Ising…

高能物理 - 理论 · 物理学 2009-10-30 Masahiro Anazawa , Atushi Ishikawa , Hirokazu Tanaka

A sampling method by using scattering amplitude is proposed for shape and location reconstruction in inverse acoustic scattering problems. Only matrix multiplication is involved in the computation, thus the novel sampling method is very…

数值分析 · 数学 2017-09-13 Xiaodong Liu

In this paper, we apply a recently proposed numerical algorithm for finding stationary phase points in spin foam amplitudes. We study a spin foam amplitude with three vertices and a bulk face in 4d BF theory. We fix the boundary coherent…

广义相对论与量子宇宙学 · 物理学 2021-04-08 Pietro Dona , Francesco Gozzini , Giorgio Sarno

We study two-dimensional Jackiw-Teitelboim gravity on the disk topology by using a BF gauge theory in the presence of a boundary term. The system can be equivalently written in a supersymmetric way by introducing auxiliary gauginos and…

高能物理 - 理论 · 物理学 2023-07-06 Luca Griguolo , Luigi Guerrini , Rodolfo Panerai , Jacopo Papalini , Domenico Seminara

A general class of gravitational models driven by a nonlocal scalar field with a linear or quadratic potential is considered. We study the action with an arbitrary analytic function $F(\Box)$, which has both simple and double roots. The way…

宇宙学与河外天体物理 · 物理学 2015-03-17 Sergey Yu. Vernov

We describe a technique to analytically compute the multipole moments of a charge distribution confined to a planar triangle, which may be useful in solving the Laplace equation using the fast multipole boundary element method (FMBEM) and…

计算物理 · 物理学 2015-06-22 John P. Barrett , Joseph A. Formaggio , Thomas J. Corona

We provide analytical results for the probability distribution of a family of wavefunctions of a quantum mechanics model of commuting matrices in the large-N limit. These wavefunctions describe the strong coupling limit of 1/8 BPS states of…

高能物理 - 理论 · 物理学 2010-11-04 Diego H. Correa , Martin Wolf

A recent simplified transfer matrix solution of the two-dimensional Ising model on a square lattice with periodic boundary conditions is generalized to periodic-antiperiodic, antiperiodic-periodic and antiperiodic-antiperiodic boundary…

统计力学 · 物理学 2007-05-23 Boris Kastening

We review the problem of BPS state counting described by the generalized quiver matrix model of ADHM type. In four dimensions the generating function of the counting gives the Nekrasov partition function and we obtain generalization in…

高能物理 - 理论 · 物理学 2020-05-05 Hiroaki Kanno
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