Manuscript XIV-A@1 · XIV-A.tex · definition · 71020abe

Definition: Extended action in the frozen class

A1: the classical master equation on the frozen sheet › The extended action and its antibracket square · lines 753–765

XIV-A@1#def:Sext, XIV-A@1#eq:Sext

S_{ext} = S_{D} [γ, ϕ] + \int [γ^{* μν} s γ_{μν} + ϕ^{*} s ϕ + c_{μ}^{*} s c^{μ} + c ˉ^{* μ} s c ˉ_{μ}] d^{4} x .

There is no $b^{*}$ term because $s b = 0$ . The frozen class $S_{kin}$ consists of all $S^{'} = S_{ext} + S^{'}_{\geq 2}$ with $S^{'}_{\geq 2}$ a local even ghost-number-zero functional of antifield degree at least two, with the backgrounds inert and the rule (eq:kin) unchanged.

Displayed formulas in this passage

XIV-A@1#eq:Sext · line 755
$S_{ext} = S_{D} [γ, ϕ] + \int [γ^{* μν} s γ_{μν} + ϕ^{*} s ϕ + c_{μ}^{*} s c^{μ} + c ˉ^{* μ} s c ˉ_{μ}] d^{4} x .$

Nearby in this section

lemma: Lemma: Antifield-degree decomposition
theorem: Theorem: The breaking functional, with every term displayed
section: The extended action and its antibracket square