“The paper shows that non-planar diagrams, specifically MHV diagrams, can be represented by pseudo-positive geometries in the Grassmannian G(2,n).”

“The paper proposes a new interpretation of the algebra of line operators in this theory as a tensor product of vector representations of a quantum toroidal algebra.”

“Each BPS monopole state is naturally labeled by a weight of the relevant $W$-boson representation of $(H^{\vee})^{s}$.”

“The resulting thermodynamic pressure increases with temperature but exhibits an approximately logarithmic dependence.”

“The paper's core argument is that gauge theory and integrability are complementary manifestations of a shared coherence principle, an ongoing journey from gauge symmetry toward mathematical unity.”

“The paper shows that the Pontryagin index emerges as an integer infrared winding, such that the resulting holonomy phase is quantized by Q∈Z and reproduces the standard weight e^{iθQ}.”

“If a reflexive sheaf $\mathcal{E}$ on a log terminal Kähler-Einstein variety $(X,ω)$ is slope stable with respect to a singular Kähler-Einstein metric $ω$, then $\mathcal{E}$ admits an $ω$-admissible Hermitian-Yang-Mills metric.”

“The paper constructs a covariant formulation for self-dual Yang-Mills and self-dual gravity, and subsequently extends this construction to the full Chiral Higher Spin Gravity.”

“The article's source is ArXiv.”

“Hermitian Yang-Mills connections on general vector bundles are the primary subject of investigation.”