On the KKLT goldstino

• Published in: The journal of high energy physics 2018-06, Vol.2018 (6), p.1-42, Article 92
• Main Authors: Krishnan, Chethan, Raj, Himanshu, Subramanian, P. N. Bala
• Format: Article
• Language: English
• Subjects: Branes; Classical and Quantum Gravitation; D-branes; Deformation; Elementary Particles; Flux compactifications; Gauge theory; High energy physics; Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; Quantum Physics; Regular Article - Theoretical Physics; Relativity Theory; Spontaneous Symmetry Breaking; String Theory; Supergravity; Supergravity Models; Supersymmetry
• ISSN: 1029-8479; 1029-8479
• DOI: 10.1007/JHEP06(2018)092

A bstract We construct general asymptotically Klebanov-Strassler solutions of a five dimensional SU (2) ×  SU (2) ×  ℤ 2  ×  ℤ 2 R truncation of IIB supergravity on T 1,1 , that break supersymmetry. This generalizes results in the literature for the SU (2) ×  SU (2) ×  ℤ 2  ×  U (1) R case, to a truncation that is general enough to capture the deformation of the conifold in the IR. We observe that there are only two SUSY-breaking modes even in this generalized set up, and by holographically computing Ward identities, we confirm that only one of them corresponds to spontaneous breaking: this is the mode triggered by smeared anti-D3 branes at the tip of the warped throat. Along the way, we address some aspects of the holographic computation of one-point functions of marginal and relevant operators in the cascading gauge theory. Our results strengthen the evidence that if the KKLT construction is meta-stable, it is indeed a spontaneously SUSY-broken (and therefore bona fide) vacuum of string theory.