Lectures on Generalized Symmetries

التفاصيل البيبلوغرافية
العنوان: Lectures on Generalized Symmetries
المؤلفون: Bhardwaj, Lakshya, Bottini, Lea E., Fraser-Taliente, Ludovic, Gladden, Liam, Gould, Dewi S. W., Platschorre, Arthur, Tillim, Hannah
سنة النشر: 2023
المجموعة: High Energy Physics - Theory
مصطلحات موضوعية: High Energy Physics - Theory
الوصف: These are a set of lecture notes on generalized global symmetries in quantum field theory. The focus is on invertible symmetries with a few comments regarding non-invertible symmetries. The main topics covered are the basics of higher-form symmetries and their properties including 't Hooft anomalies, gauging and spontaneous symmetry breaking. We also introduce the useful notion of symmetry topological field theories (SymTFTs). Furthermore, an introduction to higher-group symmetries describing mixings of higher-form symmetries is provided. Some advanced topics covered include the encoding of higher-form symmetries in holography and geometric engineering constructions in string theory. Throughout the text, all concepts are consistently illustrated using gauge theories as examples.
Comment: 138 pages, added references
نوع الوثيقة: Working Paper
الوصول الحر: http://arxiv.org/abs/2307.07547Test
رقم الانضمام: edsarx.2307.07547
قاعدة البيانات: arXiv