Fermions on the Anti-Brane: Higher Order Interactions and Spontaneously Broken Supersymmetry

Abstract

It has been recently argued that inserting a probe anti-D3-brane in a flux background breaks supersymmetry spontaneously instead of explicitly, as previously thought. In this paper we argue that such spontaneous breaking of supersymmetry persists even when the probe anti-D3-brane is kept in a curved background with an internal space that doesn't have to be a Calabi-Yau manifold. To show this we take a specific curved background generated by fractional three-branes and fluxes on a non-Kahler resolved conifold where supersymmetry breaking appears directly from certain world-volume fermions becoming massive. In fact this turns out to be a generic property even if we change the dimensionality of the anti-brane, or allow higher order fermionic interactions on the anti-brane. We argue for the former by taking a probe anti-D7-brane in a flux background and demonstrate the spontaneous breaking of supersymmetry using world-volume fermions. We argue for the latter by constructing an all order fermionic action for the anti-D3-brane from which the spontaneous nature of supersymmetry breaking can be demonstrated by bringing it to a kappa-symmetric form.

45 pages, 1 figure, LaTex, JHEP3.cls; v2: Typos corrected and references added; v3: Minor corrections, a footnote added in sec 2.1, and references added. Final version to appear in Physical Review D

References in corpus (18)

• From Linear SUSY to Constrained Superfields
• Cosmology with Nilpotent Superfields
• $\overline{D3}$ and dS
• Generalized non-supersymmetric flux vacua
• Emergence of Spontaneously Broken Supersymmetry on an Anti-D3-Brane in KKLT dS Vacua
• Inflation and Uplifting with Nilpotent Superfields
• Relating the Komargodski-Seiberg and Akulov-Volkov actions: Exact nonlinear field redefinition
• Global String Embeddings for the Nilpotent Goldstino
• Inflation from Nilpotent Kähler Corrections
• The effective action of the heterotic string compactified on manifolds with SU(3) structure
• Chiral Symmetry Breaking with non-SUSY D7-branes in ISD backgrounds
• Soft branes in supersymmetry-breaking backgrounds
• Conifolds and Geometric Transitions
• D-brane Potentials in the Warped Resolved Conifold and Natural Inflation
• D-terms on the resolved conifold
• Aspects of D-brane Dynamics in Supergravity Backgrounds with Fluxes, Kappa-symmetry and Equations of Motion. Part IIB
• Orientifolds of Warped Throats from Toric Calabi-Yau Singularities
• Non-Kahler Resolved Conifold, Localized Fluxes in M-Theory and Supersymmetry

Cited by in corpus (23)

• Higher Spin Supersymmetry at the Cosmological Collider: Sculpting SUSY Rilles in the CMB
• $\overline{D3}$ Induced Geometric Inflation
• dS Supergravity from 10d
• The supersymmetric anti-D3-brane action in KKLT
• Observable Chiral Gravitational Waves from Inflation in String Theory
• de Sitter Space as a Glauber-Sudarshan State
• Constrained superfields on metastable anti-D3-branes
• Crisis on Infinite Earths: Short-lived de Sitter Vacua in the String Theory Landscape
• Anti-brane uplift instability from goldstino condensation
• Uplifting Anti-D6-brane
• Resurgence of a de Sitter Glauber-Sudarshan State: Nodal Diagrams and Borel Resummation
• Goldstino Condensation?
• How a four-dimensional de Sitter solution remains outside the swampland
• (Super)Universal Attractors and the de Sitter Vacua in String Landscape
• The Gravitino Swampland Conjecture
• Mass Production of Type IIA dS Vacua
• The Super-Stuckelberg procedure and dS in Pure Supergravity
• Two-Field Born-Infeld with Diverse Dualities
• Goldstino condensation at large N
• On All-Order Higher-Point $\text{D}p$-$\overline{\text{D}p}$ Effective Actions
• What if string theory has a de Sitter excited state?
• All Order ${\alpha }^{\prime }$ Corrections to Fermionic Couplings of D-brane-Anti-D-brane Effective Actions
• Supersymmetric Horizons at the Edge of Effective Field Theory