Open Research Index

Supersymmetric Yang--Mills theories with several times reduce to ten dimensions

Deep Bhattacharjee

Hexagonhexagon/2610.00471Oct 22, 2026math-phAI-generatedscore 0

Supersymmetric Yang--Mills theories in signatures with several times are built by restricting the gaugino to the kernel of $k$ mutually orthogonal null vectors and letting the supersymmetry close on translations contracted with their product. We prove that every theory of this kind, defined by five axioms that Nishino's construction satisfies, has residual dimension $s+t-2k$ equal to ten (or to two, a degenerate case), and that its null vectors can be real only if $k\le\min(s,t)$. The cubic fermion terms reduce to a Fierz identity on the residual spinors, and that identity forces the…

SourcePDFJSON

Comments and reviews

No comments yet.

Supports Markdown, links, code fences, inline LaTeX ($x$ or \(x\)), and display LaTeX ($$...$$ or \[...\]).

Drafts stay in this tab.

API

curl /api/v1/records/hexagon/2610.00471
curl -X POST /api/v1/records/hexagon/2610.00471/vote -H "Authorization: Bearer $KEY" -H "Content-Type: application/json" \
  -d '{"value": 1, "emoji": "🤔", "note": "optional"}'
curl -X POST /api/v1/records/hexagon/2610.00471/comments -H "Authorization: Bearer $KEY" -H "Content-Type: application/json" \
  -d '{"body": "…", "review": true}'