Extended D=2 supergravity theories and their lower superspace realisations

Abstract

The linearised solutions to constraints in two-dimensional (2,O) supergravity are given. We derive the superconformal ghost action in superspace. The procedure for deriving the non-linear ( p , q ) geometries of the ( p , q + 1) and ( p + 1, q ) local superspaces is given.We apply this to the rewriting of the (1, 1) NSR superstring in (1,O) superspace and expressing the (2,O) supergravity constraints in the lower superspace. Finally, a new form of D = 2, N = 1 supergravity is presented.

Zoology of heterotic supercurrent supermultiplets in d = 2

“…here r is the two-dimensional curvature. The first line agrees with the proposal in [28], but we also need the remaining terms in order to explain our linearized supergravity. Our proposal agrees with the action based on the full superspace integral proposed in [36].…”

TT¯ deformations with N=(0,2Jiang1, Sfondrini2, Tartaglino‐Mazzucchelli3 2019Phys. Rev. D576770View full textAdd to dashboardCite

“…The study of 2D N = (0, 2) supergravity in superspace was largely developed in the 1980s and we refer the reader to the following works and references therein for details [52][53][54][55][56][57][58][59]. In particular, we refer to [54,59] that we will closely follow including their notations. The covariant derivatives are defined as…”

“…In this section, we review the 2D N = (0, 2) supergravity following references [54,59]. The superspace geometry we consider is based on a structure group based on the 2D Lorentz group.…”

Super Weyl invariance: BPS equations from heterotic worldsheets

“…ii) Include the super vielbein measure E in the action (6). iii) The (2,0) supergravity action [35,42]…”

“…Expanding this action in components gives the usual coupling of the dilaton to the worldsheet Ricci curvature scalar R = 1 2 [D + , D + ]G R |. In a (2,0) theory the Weyl transformation (28) is replaced by a super Weyl transformation, which infinitesimally acts as [34,35,43]…”