Pith. sign in

REVIEW 3 cited by

Towards a mathematical definition of Coulomb branches of $3$-dimensional $\mathcal N=4$ gauge theories, II

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 1601.03586 v8 pith:NKGCIASF submitted 2016-01-14 math.RT hep-thmath-phmath.AGmath.DGmath.MP

Alexander Braverman , Michael Finkelberg , Hiraku Nakajima This is my paper · ORCID
classification math.RThep-thmath-phmath.AGmath.DGmath.MP
keywords mathbfcoulombactionbranchdefinitiondimensionalgaugemathcal
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
abstract

Consider the $3$-dimensional $\mathcal N=4$ supersymmetric gauge theory associated with a compact Lie group $G_c$ and its quaternionic representation $\mathbf M$. Physicists study its Coulomb branch, which is a noncompact hyper-K\"ahler manifold with an $\mathrm{SU}(2)$-action, possibly with singularities. We give a mathematical definition of the Coulomb branch as an affine algebraic variety with $\mathbb C^\times$-action when $\mathbf M$ is of a form $\mathbf N\oplus\mathbf N^*$, as the second step of the proposal given in arXiv:1503.03676.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. The algebraic modular functor conjecture in type $A_n$ quantum Teichm\"uller theory

    math.QA 2025-09 conditional novelty 8.0 of 10

    The algebraic modular functor conjecture of Fock and Goncharov, that cutting a surface yields a canonical gluing isomorphism of the associated quantum algebras, is proven for type A_n (G = PGL(n+1)).

  2. Category $\mathcal{O}$ and asymptotic characters

    math.RT 2025-07 accept novelty 7.0 of 10

    The asymptotic character of a module in category O for truncated shifted Yangians equals the bar-character of its KLR module, giving a weak change-of-basis formula between the dual canonical and MV bases.

  3. Advancements in Functorial Homological Mirror Symmetry

    hep-th 2025-02 reject novelty 4.0 of 10

    A programmatic review asserting that stability and transversality in Donaldson-Thomas degeneracy formulas correspond to abelian versus nonabelian gauging in Rozansky-Witten theory, without providing a derivation.

Pith tools