physics, mathematical physics, philosophy of physics
theory (physics), model (physics)
experiment, measurement, computable physics
Axiomatizations
Tools
Structural phenomena
Types of quantum field thories
abstract duality: opposite category,
concrete duality: dual object, dualizable object, fully dualizable object, dualizing object
Examples
between higher geometry/higher algebra
Langlands duality, geometric Langlands duality, quantum geometric Langlands duality
In QFT and String theory
In physics one speakes of a parent action functional (Deser-Jackiw 84) when referring to an action functional $S_{par}$ which, by solving the equations of motion of two different sets of its “auxiliary” fields, is classically equivalent to two different-looking action functionals $S_A$ and $S_B$, thereby exhibiting $S_A$ and $S_B$ as classically equivalent to each other. Hence a parent action functional constitutes a correspondence between two action functionals
The method is used notably to exhibit “duality” between $S_A$ and $S_B$ of one form or another, in particular electric-magnetic duality. (See e.g. Miao-Ohta 03).
Beware that some authors also speak of master actions instead of parent actions in this context, but there is not relation to “master actions” in the sense of BV-BRST formalism (except, of course, that both are action functionals of some sort).
Stanley Deser, Roman Jackiw, Phys. Lett. B, 139 (1984), p. 2366
Yan-Gang Miao, Nobuyoshi Ohta, Parent Actions, Dualities and New Weyl-invariant Actions of Bosonic p-branes (arXiv:hep-th/0301233)
Last revised on February 8, 2018 at 18:28:12. See the history of this page for a list of all contributions to it.