ABJ quadrality

We put forward new explicit realisations of dS/CFT that relate N = 2 supersymmetric Euclidean vector models with reversed spin-statistics in three dimensions to specific supersymmetric Vasiliev theories in four-dimensional de Sitter space. The partition function of the free supersymmetric vector model deformed by a range of low spin deformations that preserve supersymmetry appears to specify a well-defined wave function with asymptotic de Sitter boundary conditions in the bulk. In particular we find the wave function is globally peaked at undeformed de Sitter space, with a low amplitude for strong deformations. This suggests that supersymmetric de Sitter space is stable in higher-spin gravity and in particular free from ghosts. We speculate this is a limiting case of the de Sitter realizations in exotic string theories.

Section: A Free Chiral Superfields and Higher-spin Deformationsmentioning

confidence: 99%

Section: Dualitymentioning

confidence: 99%

Supersymmetric dS/CFT

Hertog

Tartaglino‐Mazzucchelli

Riet

et al. 2018

“…A related simpler simpler model that can be used to provide physical intuition to the features identified in this article is the non-relativistic one 12 There is also a concept of orthogonality.…”

Section: Discussionmentioning

confidence: 99%

“…With this definition, it is straightforward to check that the disconnected contributions are proportional to 1/Γ(−1) and hence vanish. 12…”

Section: From Covariant Bilocals To Equal Time Bilocalsmentioning

confidence: 99%

Large N bilocals at the infrared fixed point of the three dimensional O(N) invariant vector theory with a quartic interaction

Mulokwe

Rodrigues

2018

We study the three dimensional O(N) invariant bosonic vector model with a λ N (φ a φ a ) 2 interaction at its infrared fixed point, using a bilocal field approach and in an 1/N expansion. We identify a (negative energy squared) bound state in its spectrum about the large N conformal background. At the critical point this is identified with the ∆ = 2 state. We further demonstrate that at the critical point the ∆ = 1 state disappears from the spectrum. * 1 There is a vast literature on the subject; [5,6,7,8] are representative of the work on the subject, but they do not form by any means an exhaustive list.

“…There are also some generalizations of this duality with supersymmetries and with non-Abelian gauge symmetries on both sides[89,90].…”

mentioning

confidence: 99%

A string dual for partially topological Chern-Simons-matter theories

Aharony¹,

Feldman²,

Honda³

2019

Self Cite

We consider a string dual of a partially topological U(N ) Chern-Simons-matter (PTCSM) theory recently introduced by Aganagic, Costello, McNamara and Vafa. In this theory, fundamental matter fields are coupled to the Chern-Simons theory in a way that depends only on a transverse holomorphic structure on a manifold; they are not fully dynamical, but the theory is also not fully topological. One description of this theory arises from topological strings on the deformed conifold T * S 3 with N Lagrangian 3-branes and additional coisotropic 'flavor' 5-branes. Applying the idea of the Gopakumar-Vafa duality to this setup, we suggest that this has a dual description as a topological string on the resolved conifold O (−1) ⊕ O (−1) → CP 1 , in the presence of coisotropic 5-branes. We test this duality by computing the annulus amplitude on the deformed conifold and the disc amplitude on the resolved conifold via equivariant localization, and we find an agreement between the two. We find a small discrepancy between the topological string results and the large N limit of the partition function of the PTCSM theory arising from the deformed conifold, computed via field theory localization by a method proposed by Aganagic et al. We discuss possible origins of the mismatch. b 40 9.3 The O(N ) free energy for Im(b 2 ) > 0 41 9.4 The O(N ) free energy for Im(b 2 ) < 0 44 -i -9.5 The O(N ) free energy for real and irrational b 2 45 9.6 The O(N ) free energy for rational b 2 45 10 Conclusions and future directions 46 A Derivations of the O(N ) free energy for rational b 2 49 A.1 The limit to rational b 2 from complex b 2 49 A.2 A direct computation at rational b 2 51References 53 7 Note that a Lagrangian 3-brane is a particular case of a coisotropic brane with rank(σ) = 0. 8 See [46-51] for a mathematical review.