The simplest description of charge propagation in a strong background

Deriving the Simplest Gauge-String Duality -- I: Open-Closed-Open Triality

We lay out an approach to derive the closed string dual to the simplest possible gauge theory, a single hermitian matrix integral, in the conventional 't Hooft large $N$ limit. In this first installment of three papers, we propose and verify an explicit correspondence with a (mirror) pair of closed topological string theories. On the A-model side, this is a supersymmetric $SL(2, \mathbb{R})_1/U(1)$ Kazama-Suzuki coset (with background momentum modes turned on). The mirror B-model description is in terms of a Landau-Ginzburg theory with superpotential $W(Z)=\frac{1}{Z}+t_2Z$ and its deformation…

Towards holography for quantum mechanics

We derive a holographic description of the simplest quantum mechanical system, a 1d free particle. The dual formulation uses a couple of two-dimensional topological abelian BF theories with appropriate boundary conditions, interactions and constraints. The aim of this construction is not to use holography as a tool for quantum mechanics but rather to find the simplest possible setup in order to explore holography.

What is the Simplest Gauge-String Duality?

We make a proposal for the string dual to the simplest large $N$ theory, the Gaussian matrix integral in the 'tHooft limit, and how this dual description emerges from double line graphs. This is a specific realisation of the general approach to gauge-string duality which associates worldsheet riemann surfaces to the Feynman-'tHooft diagrams of a large N gauge theory. We show that a particular version (proposed by Razamat) of this connection, involving integer Strebel differentials, naturally explains the combinatorics of Gaussian matrix correlators. We find that the correlators can be explicit…

Canonical description of Exotic General Massive Gravity

Exotic General Massive Gravity is the next-to-simplest gravitational theory fulfilling the so-called third-way consistency, the simplest being Minimal Massive Gravity. We investigate the canonical structure of the first-order formulation of Exotic General Massive Gravity. By using the Dirac Hamiltonian formalism, we systematically discover the complete set of physical constraints, including primary, secondary, and tertiary ones, and explicitly compute the Poisson bracket algebra between them. In particular, we demonstrate that the consistency condition for the tertiary constraints provides exp…

静态黑洞时空中的电磁波传播：在Schwarzschild几何中的一种有效折射率描述

Electromagnetic wave propagation in static black hole spacetimes: an effective refractive index description in Schwarzschild geometry

本文提出了一种完全协变且 gauge 不变的电磁波传播形式，通过Schwarzschild坐标系分析，揭示了轴向和极向分量在 Maxwell 方程中的等谱性，并通过折射率描述引力红移和曲率效应。

Wave Propagation and IR/UV Mixing in Noncommutative Spacetimes

In this thesis I study various aspects of theories in the two most studied examples of noncommutative spacetimes: canonical spacetime ($[x_μ,x_ν]=θ_{μν}$) and $κ$-Minkowski spacetime ($[x_{i},t]=κ^{-1} x_{i}$). In the first part of the thesis I consider the description of the propagation of "classical" waves in these spacetimes. In the case of $κ$-Minkowski this description is rather nontrivial, and its phenomenological implications are rather striking. In the second part of the thesis I examine the structure of quantum field theory in noncommutative spacetime, with emphasis on the simple case…