Results 91 to 100 of about 78,948 (221)

A note on chiral trace relations from qq-characters

Journal of High Energy Physics, 2020
We study chiral operators in four-dimensional N $$ \mathcal{N} $$ = 2 supersymmetric gauge theories. We provide a general procedure to derive the exact relations among the vacuum expectation values of chiral operators in the Ω-background using the non ...
Saebyeok Jeong, Xinyu Zhang
doaj   +1 more source

Boundary conditions and universal finite‐size scaling for the hierarchical |φ|4$|\varphi |^4$ model in dimensions 4 and higher

Communications on Pure and Applied Mathematics, Volume 78, Issue 10, Page 2001-2118, October 2025.
Abstract We analyse and clarify the finite‐size scaling of the weakly‐coupled hierarchical n$n$‐component |φ|4$|\varphi |^4$ model for all integers n≥1$n \ge 1$ in all dimensions d≥4$d\ge 4$, for both free and periodic boundary conditions. For d>4$d>4$, we prove that for a volume of size Rd$R^{d}$ with periodic boundary conditions the infinite‐volume ...
Emmanuel Michta, Jiwoon Park, Gordon Slade   +2 more
wiley   +1 more source

Spectroscopy of four-dimensional N = 1 supersymmetric SU(3) Yang-Mills theory

EPJ Web of Conferences, 2018
Supersymmetric gauge theories are an important building block for extensions of the standard model. As a first step towards Super-QCD we investigate the pure gauge sector with gluons and gluinos on the lattice, in particular the low energy mass spectrum:
Steinhauser Marc, Sternbeck André, Wellegehausen Björn, Wipf Andreas   +3 more
doaj   +1 more source

Lattice Formulation for 2d N=(2,2), (4,4) Super Yang-Mills Theories without Admissibility Conditions [PDF]

, 2014
We present a lattice formulation for two-dimensional N=(2,2) and (4,4) supersymmetric Yang-Mills theories that resolves vacuum degeneracy for gauge fields without imposing admissibility conditions.
Matsuura, So, Sugino, Fumihiko
core   +2 more sources

Unification of Conformal and Fuzzy Gravities With Internal Interactions Resulting in SO(10) and a Possible Probe Through Stochastic Gravitational Wave Background

Fortschritte der Physik, Volume 73, Issue 9-10, October 2025.
Abstract The unification of conformal and fuzzy gravities with internal interactions is based on the facts that i) the tangent group of a curved manifold and the manifold itself do not necessarily have the same dimensions and ii) both gravitational theories considered here have been formulated in a gauge theoretic way.
Gregory Patellis, Danai Roumelioti, Stelios Stefas, George Zoupanos   +3 more
wiley   +1 more source

Duality in supersymmetric gauge theories [PDF]

Surveys in High Energy Physics, 1997
35 pages ...
openaire   +2 more sources

Holomorphic field theories and higher algebra

Bulletin of the London Mathematical Society, Volume 57, Issue 10, Page 2903-2974, October 2025.
Abstract Aimed at complex geometers and representation theorists, this survey explores higher dimensional analogs of the rich interplay between Riemann surfaces, Virasoro and Kac‐Moody Lie algebras, and conformal blocks. We introduce a panoply of examples from physics — field theories that are holomorphic in nature, such as holomorphic Chern‐Simons ...
Owen Gwilliam, Brian R. Williams
wiley   +1 more source

Chiral Rings, Vacua and Gaugino Condensation of Supersymmetric Gauge Theories

, 2003
We find the complete chiral ring relations of the supersymmetric U(N) gauge theories with matter in adjoint representation. We demonstrate exact correspondence between the solutions of the chiral ring and the supersymmetric vacua of the gauge theory. The
E. Witten, E. Witten, F. Cachazo, F. Cachazo, F. Cachazo, Peter Svrcek, T.W. Hungerford, W. Lerche   +7 more
core   +1 more source

Relational Supersymmetry via the Dressing Field Method and Matter‐Interaction Supergeometric Framework

Annalen der Physik, Volume 537, Issue 9, September 2025.
Applications of the Dressing Field Method are reviewed and further expanded to the very foundations of the supersymmetric framework, where it allows to build relational supersymmetric field theory. Furthermore, a novel approach is proposed giving a unified description of fermionic matter fields and bosonic gauge fields: a Matter‐Interaction ...
Jordan François, L. Ravera
wiley   +1 more source

Abelian dualities and line defect indices for 3d gauge theories

Journal of High Energy Physics
We find matching pairs of the line defect indices for 3d supersymmetric Abelian gauge theories as strong evidence of dualities of the BPS line operators.
Hirotaka Hayashi, Tomoki Nosaka, Tadashi Okazaki   +2 more
doaj   +1 more source