The dS/CFT correspondence differs from its AdS/CFT counterpart in some ways, yet is strikingly similar to it in many others. For example, both involve CFTs defined on connected spaces (despite the fact that the conformal boundary of deSitter space is not connected), and both impose constraints on scalar masses (Strominger’s bound for deSitter, and the BreitenlohnerFreedman bound for Anti-deSitt...

We argue that multi-trace deformations of the boundary CFT in AdS/CFT correspondence can arise through the OPE of single-trace operators. We work out the example of a scalar field in AdS5 with cubic self interaction. By an appropriate reparametrization of the boundary data we are able to deform the boundary CFT by a marginal operator that couples to the conformal anomaly. Our method can be used...

Superstrings propagating on backgrounds of the form AdS3 ×G/H are studied using the coset CFT approach. We focus on seven dimensional cosets which have a semiclassical limit, and which give rise to N = 3 superconformal symmetry in the dual CFT. This is realized for the two cases AdS3 × SU(3)/U(1) and AdS3 × SO(5)/SO(3), for which we present an explicit construction. We also provide sufficient c...

We show that standard Einstein gravity coupled to a free conformal field theory (CFT) in Anti de Sitter space can undergo a Higgs phenomenon whereby the graviton acquires a nonzero mass (and three extra polarizations). We show that the essential ingredients of this mechanism are the discreteness of the energy spectrum in AdS space, and unusual boundary conditions on the elementary fields of the...

A mathematical construction of the conformal field theory (CFT) associated to a compact torus, also called the “nonlinear σ-model” or “lattice-CFT”, is given. Underlying this approach to CFT is a unitary modular functor, the construction of which follows from a “Quantization commutes with reduction”type of theorem for unitary quantizations of the moduli spaces of holomorphic torusbundles and ac...

In this paper we will study some aspects of dS/CFT correspondence. We will focus on the relation between Witten's non-standard de Sitter inner product and correlators in the holographic dual conformal field theory. We will argue that from the definition of Witten's inner product and conjecture that the Hilbert space of initial states of massive scalar field on I − in de Sitter space corresponds...

We compute the three point correlation functions for primordial scalar and tensor fluctuations in single field inflationary models. We obtain explicit expressions in the slow roll limit where the answer is given terms of the two usual slow roll parameters. In a particular limit the three point functions are determined completely by the tilt of the spectrum of the two point functions. We also ma...

Introduction: calcifying fibrous tumor (cFt) is a rare, benign soft tissue tumor of unknown etiology. Previously reported in the subcutaneous and deep tissues of the extremities and trunk, sporadic accounts of intra-abdominal cFts associated with the peritoneum, mesentery and bowel have recently arose. case report: We present a previously unreported entity of a free-floating intra-abdominal pre...

Microscopic calculations of the Bekenstein-Hawking entropy of supersymmetric black holes in string theory are typically based on the application to a dual 2D CFT of Cardy’s formula, S = 2π √ c q̂0/6, where c is the central charge and q̂0 is the oscillator level. In the CFT, q̂0 is non-trivially related to the total momentum. We identify a Komar integral that equals q̂0 when evaluated at the horizon...