p-Adic mathematical physics: the first 30 years

B Dragovich, AY Khrennikov, SV Kozyrev… - P-Adic numbers …, 2017 - Springer
Abstract p-Adic mathematical physics is a branch of modern mathematical physics based on
the application of p-adic mathematical methods in modeling physical and related …

Non-invertible symmetries of = 4 SYM and twisted compactification

J Kaidi, G Zafrir, Y Zheng - Journal of High Energy Physics, 2022 - Springer
A bstract Non-invertible symmetries have recently been understood to provide interesting
constraints on RG flows of QFTs. In this work, we show how non-invertible symmetries can …

Exact lattice supersymmetry

S Catterall, DB Kaplan, M Ünsal - Physics reports, 2009 - Elsevier
We provide an introduction to recent lattice formulations of supersymmetric theories which
are invariant under one or more real supersymmetries at non-zero lattice spacing. These …

Non-invertible global symmetries and completeness of the spectrum

B Heidenreich, J McNamara, M Montero… - Journal of High Energy …, 2021 - Springer
A bstract It is widely believed that consistent theories of quantum gravity satisfy two basic
kinematic constraints: they are free from any global symmetry, and they contain a complete …

[图书][B] Grassmannian geometry of scattering amplitudes

N Arkani-Hamed - 2016 - books.google.com
Outlining a revolutionary reformulation of the foundations of perturbative quantum field
theory, this book is a self-contained and authoritative analysis of the application of this new …

[HTML][HTML] Wall-crossing, Hitchin systems, and the WKB approximation

D Gaiotto, GW Moore, A Neitzke - Advances in Mathematics, 2013 - Elsevier
We consider BPS states in a large class of d= 4, N= 2 field theories, obtained by reducing six-
dimensional (2, 0) superconformal field theories on Riemann surfaces, with defect operators …

Localization of gauge theory on a four-sphere and supersymmetric Wilson loops

V Pestun - Communications in Mathematical Physics, 2012 - Springer
We prove conjecture due to Erickson-Semenoff-Zarembo and Drukker-Gross which relates
supersymmetric circular Wilson loop operators in the\mathcal N= 4 supersymmetric Yang …

Non-invertible symmetries along 4d RG flows

JA Damia, R Argurio, F Benini, S Benvenuti… - Journal of High Energy …, 2024 - Springer
A bstract We explore novel examples of RG flows preserving a non-invertible self-duality
symmetry. Our main focus is on\(\mathcal {N}\)= 1 quadratic superpotential deformations of …

Quantization of integrable systems and four dimensional gauge theories

NA Nekrasov, SL Shatashvili - XVIth International Congress On …, 2010 - World Scientific
We study four dimensional supersymmetric gauge theory in the Ω-background with the two
dimensional super-Poincare invariance. We explain how this gauge theory provides the …

Analytic continuation of Chern-Simons theory

E Witten - AMS/IP Stud. Adv. Math, 2011 - books.google.com
The title of this article refers to analytic continuation of threedimensional Chern-Simons
gauge theory away from integer values of the usual coupling parameter k, to explore …