6533b7cefe1ef96bd1257b0f
RESEARCH PRODUCT
On eleven-dimensional supergravity and chern?SIMONS Theory
Fernando IzaurietaFernando IzaurietaFernando IzaurietaEduardo Rodríguezsubject
M-theoryPhysicsHigh Energy Physics - TheoryNuclear and High Energy PhysicsParticle physicsPolynomialSupergravityChern–Simons theoryStructure (category theory)FOS: Physical sciencesMathematical Physics (math-ph)Term (logic)High Energy Physics - Theory (hep-th)Higher-dimensional supergravityAlgebraic numberMathematical PhysicsMathematical physicsdescription
We probe in some depth into the structure of eleven-dimensional, osp(32|1)-based Chern-Simons supergravity, as put forward by Troncoso and Zanelli (TZ) in 1997. We find that the TZ Lagrangian may be cast as a polynomial in 1/l, where l is a length, and compute explicitly the first three dominant terms. The term proportional to 1/l^9 turns out to be essentially the Lagrangian of the standard 1978 supergravity theory of Cremmer, Julia and Scherk, thus establishing a previously unknown relation between the two theories. The computation is nontrivial because, when written in a sufficiently explicit way, the TZ Lagrangian has roughly one thousand non-explicitly Lorentz-covariant terms. Specially designed algebraic techniques are used to accomplish the results.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2012-01-01 |