Phase diagram of 2+1 dimensional field theories and particle-vortex duality

2 1 维场论和粒子涡二象性的相图

• 批准号: 1815540
• 金额: --
• 依托单位: Swansea University
• 依托单位国家: 英国
• 项目类别: Studentship
• 财政年份: 2016
• 资助国家: 英国
• 起止时间: 2016 至 无数据
• 项目状态: 已结题
• 来源: https://gtr.ukri.org/projects?ref=studentship-1815540
• 关键词: Phase; diagram; 2+1; dimensional; field

The duality between fundamental particles and solitonic vortex-likestates is one of many remarkable phenomena emerging from quantum fieldtheories in 2+1 dimensions. This general duality has recently been usedto argue for a larger web of dualities in 2+1 dimensional fieldtheories. A number of these dualities exchange particle states forcomposite objects, and a nontrivial check of such a duality between twosets of seemingly different degrees of freedom is to study theirthermodynamics as a function of ]both temperature and chemical potentialfor particle number. The aim of this project is to understandparticle-vortex duality at finite temperature and in the grand canonicalensemble, first for Abelian Chern-Simons theories. For non-Abeliantheories some aspects of the thermodynamics have been understood at lowtemperatures in the grand canonical ensemble (in the large-N limit).One goal of this project will be to understand fermion-boson duality innon-Abelian theories at high temperature and large-N, for genericvalues of particle number chemical potential.

基本粒子和孤子涡旋态之间的对偶性是 2+1 维度量子场论中出现的许多显着现象之一。这种一般对偶性最近被用来论证 2+1 维场论中更大的对偶性网络。许多这样的二元性交换复合物体的粒子状态，并且对两组看似不同的自由度之间的这种二元性进行重要检查是研究它们的热力学作为温度和粒子数的化学势的函数。该项目的目的是理解有限温度下和大正则系综中的粒子涡对偶性，首先是阿贝尔陈-西蒙斯理论。对于非阿贝尔理论，热力学的某些方面已经在大正则系综（大 N 极限）的低温下得到了理解。该项目的一个目标是理解高温和大 N 下非阿贝尔理论中的费米子-玻色子对偶性，以获得粒子数化学势的通用值。

项目成果

Integrability and holographic aspects of six-dimensional $$ \mathcal{N}=\left(1,\ 0\right) $$ superconformal field theories

六维$$ mathcal{N}=left(1, 0 ight) $$超共形场论的可积性和全息方面

• DOI: 10.1007/jhep06(2019)069
• 发表时间: 2019
• 期刊: Journal of High Energy Physics
• 影响因子: 5.4
• 作者: Filippas K

A type IIB matrix model via non-Abelian T-dualities

基于非阿贝尔 T 对偶性的 IIB 型矩阵模型

• DOI: 10.1007/jhep12(2017)101
• 发表时间: 2017
• 期刊: Journal of High Energy Physics
• 影响因子: 5.4
• 作者: Van Gorsel J

The non-integrability of strings in massive type IIA and their holographic duals

大质量IIA型弦及其全息对偶中的不可积性

• DOI: 10.1007/jhep06(2018)078
• 发表时间: 2018
• 期刊: Journal of High Energy Physics
• 影响因子: 5.4
• 作者: Núñez C