Anisotropic inflation with coupled p−forms

Abstract

We study the cosmology in the presence of arbitrary couplings between p-forms in 4-dimensional space-time for a general action respecting gauge symmetry and parity invariance. The interaction between 0-form (scalar field ϕ) and 3-form fields gives rise to an effective potential Veff(ϕ) for the former after integrating out the contribution of the latter. We explore the dynamics of inflation on an anisotropic cosmological background for a coupled system of 0-, 1-, and 2-forms. In the absence of interactions between 1- and 2-forms, we derive conditions under which the anisotropic shear endowed with nearly constant energy densities of 1- and 2-forms survives during slow-roll inflation for an arbitrary scalar potential Veff(ϕ). If 1- and 2-forms are coupled to each other, we show the existence of a new class of anisotropic inflationary solutions in which the energy density of 2-form is sustained by that of 1-form through their interactions. Our general analytic formulas for the anisotropic shear are also confirmed by the numerical analysis for a concrete inflaton potential.

Approaching Wonderland

“…One of the authors of our previous work has done work on shear-free cosmologies [24] with a pform action. The reader is also referred to the short notice [25] and the more recent works [26,27].…”

Collins in Wonderland

“…For instance, a collaborator of ours has done work on shear-free cosmologies [21] with a general p-form action. The reader is also referred to the short notice [22] and the more recent works [23,24].…”

Superstring at the boundary of open supermembrane interacting with D=4 supergravity and matter supermultiplets

“…The superstring at the end of supermembrane also breaks the gauge symmetry (11), (13), (14), characteristic for the three form potential. When action is written with the use of the Stückelberg real linear superfield L, as in (37), this symmetry is formally maintained (realized dynamically) as P − L is invariant under (34). However, we can fix the gauge under this symmetry by setting L = 0 and in this gauge (37) reduces to…”

“…Clearly, S p=2 and S p=1 can be treated as actions of supermembrane and superstring at the end of supermembrane in the background of supergravity and matter multiplets. Our action can be used to describe an effective field theories of string compactifications with open branes and branes at the boundary of open branes 2 and to study the role of open and intersecting supermembranes in supersymmetric generalizations and/or deformations of the constructions from [35][36][37][38][39]. It will be interesting to search for the supersymmetric domain wall junction solutions (see [40,41]) of the equations of motion with open membrane sources which follow from our interacting action.…”