D-terms in generalised complex geometry

A bstract Generalised Complex Geometry provides a natural interpretation of the N = 1 supersymmetry conditions for warped solutions of type II supergravity as differential equations on polyforms on the internal manifold. Written in this language the supersymmetry conditions correspond to calibration...

Full description

Saved in:
Bibliographic Details
Published in:The journal of high energy physics 2024-07, Vol.2024 (7), p.71-29, Article 71
Main Author: Menet, Vincent
Format: Article
Language:English
Subjects:
Branes
Calibration
Classical and Quantum Gravitation
D-Branes
Differential equations
Differential geometry
Domain walls
Elementary Particles
Equations of motion
Flux Compactifications
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
String Theory
Strings
Supergravity
Supersymmetry
Supersymmetry Breaking
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:A bstract Generalised Complex Geometry provides a natural interpretation of the N = 1 supersymmetry conditions for warped solutions of type II supergravity as differential equations on polyforms on the internal manifold. Written in this language the supersymmetry conditions correspond to calibration conditions for probe D-branes: D-string, domain-wall or space-filling branes, depending on the directions they span in the non-compact four-dimensional space. The BPS condition corresponding to the calibration of space-filling D-branes has been reformulated by Tomasiello, eliminating the explicit dependence on the metric. We generalise this derivation to the case of non-supersymmetric backgrounds violating the domain-wall and D-string calibration conditions. We use this reformulation to derive constraints that the ten-dimensional solutions with BPS space-filling sources must respect in order to dimensionally reduce to solutions of four-dimensional N = 1 supergravity with non-vanishing F-terms and potentially non-vanishing D-terms. We give the equations of motion for the class of type II vacua satisfying these constraints in the language of pure spinors. We investigate how restrictive these constraints are for the class of type IIB SU(3) backgrounds with BPS space-filling O5-planes.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP07(2024)071