pith. sign in

Global Aspects of Abelian Duality in Dimension Three

1 Pith paper cite this work. Polarity classification is still indexing.

1 Pith paper citing it
abstract

In three dimensions, an abelian gauge field is related by duality to a free, periodic scalar field. Though usually considered on Euclidean space, this duality can be extended to a general three-manifold M, in which case topological features of M become important. Here I comment upon several of these features as related to the partition function on M. In a companion article, arXiv:1405.2483, I discuss similarly the algebra of operators on a surface of genus g.

fields

hep-th 1

years

2026 1

verdicts

UNVERDICTED 1

clear filters

representative citing papers

Axions on de Sitter space

hep-th · 2026-06-27 · unverdicted · novelty 6.0

Quantization of axions on dS_D yields Hilbert space H = L^2(S^1) ⊗ F with zero-mode U(1) charge, producing non-dS-invariant charged sectors and Hadamard Wightman functions that become asymptotically invariant.

citing papers explorer

Showing 1 of 1 citing paper after filters.

  • Axions on de Sitter space hep-th · 2026-06-27 · unverdicted · none · ref 24 · internal anchor

    Quantization of axions on dS_D yields Hilbert space H = L^2(S^1) ⊗ F with zero-mode U(1) charge, producing non-dS-invariant charged sectors and Hadamard Wightman functions that become asymptotically invariant.