In this work, we have studied the possibility of setting up Bell's inequality violating experiment in the context of cosmology, based on the basic principles of quantum mechanics. First we start with the physical motivation of implementing the Bell inequality violation in the context of cosmology. Then to set up the cosmological Bell violating test experiment we introduce a model independent theoretical framework using which we have studied the creation of new massive particles by implementing the WKB approximation method for the scalar fluctuations in the presence of additional time-dependent mass contribution in the cosmological perturbation theory. Here for completeness we compute the total number density and the energy density of the newly created particles in terms of the Bogoliubov coefficients using the WKB approximation method. Next using the background scalar fluctuation in the presence of a new time-dependent mass contribution, we explicitly compute the expression for the one point and two point correlation functions. Furthermore, using the results for a one point function we introduce a new theoretical cosmological parameter which can be expressed in terms of the other known inflationary observables and can also be treated as a future theoretical probe to break the degeneracy amongst various models of inflation. Additionally, we also fix the scale of inflation in a model-independent way without any prior knowledge of primordial gravitational waves. Also using the input from a newly introduced cosmological parameter, we finally give a theoretical estimate for the tensor-to-scalar ratio in a modelindependent way. Next, we also comment on the technicalities of measurements from isospin breaking interactions and the future prospects of newly introduced massive particles in a cosmological Bell violating test experiment. Further, we a

It has been conjectured that fermions minimally coupled to a Chern-Simons gauge field define a conformal field theory (CFT) that is level-rank dual to Chern-Simons gauged Wilson-Fisher Bosons. The CFTs in question admit relevant deformations parametrized by a real mass. When the mass deformation is positive, the duality of the two deformed theories has previously been checked in detail in the large N limit by comparing explicit all orders results on both sides of the duality. In this paper we perform a similar check for the case of negative mass deformations. In this case the bosonic field condenses triggering the Higgs mechanism. The effective excitations in this phase are massive W bosons. By summing all leading large N graphs involving these W bosons we find an all orders (in the 't Hooft coupling) result for the thermal free energy of the bosonic theory in the condensed phase. Our final answer perfectly matches the previously obtained fermionic free energy under the conjectured duality map. 1 sayantan@aei.mpg.de, sayantan.choudhury@aei.mpg.de 2 anshuman@theory.tifr.res.in 3 indranil.halder@tifr.res.in 4 sachin.jain@iiserpune.ac.in 5 lavneet@theory.tifr.res.in 6 minwalla@theory.tifr.res.in 7 naveensp@theory.tifr.res.in 1 See [10, 11] for further results on correlation functions. 2 See [12-15] for more precise versions of the duality map. 3 See [5,9,10,16,17,20,[23][24][25][33][34][35][36][37][38][39][40][41][42][43][44][45][46] for other large-N computations that provide additional evidence for this duality.

It has recently been demonstrated that the large N limit of a model of fermions charged under the global/gauge symmetry group O(N ) q−1 agrees with the large N limit of the SYK model. In these notes we investigate aspects of the dynamics of the O(N ) q−1 theories that differ from their SYK counterparts. We argue that the spectrum of fluctuations about the finite temperature saddle point in these theories has (q −1) N 2 2 new light modes in addition to the light Schwarzian mode that exists even in the SYK model, suggesting that the bulk dual description of theories differ significantly if they both exist. We also study the thermal partition function of a mass deformed version of the SYK model. At large mass we show that the effective entropy of this theory grows with energy like E ln E (i.e. faster than Hagedorn) up to energies of order N 2 . The canonical partition function of the model displays a deconfinement or Hawking Page type phase transition at temperatures of order 1/ ln N . We derive these results in the large mass limit but argue that they are qualitatively robust to small corrections in J/m.

In this paper we will analyse the constraints on a sub-Planckian excursion of a single inflaton field, which would yield a large tensor to scalar ratio, while explaining the temperature anisotropy of the cosmic microwave background (CMB) radiation. In particular, our attempt will be to reconstruct the inflationary potential by constraining, V (φ 0 ), V (φ 0 ), V (φ 0 ), V (φ 0 ) and V (φ 0 ), in the vicinity of the field, φ 0 M p , and the field displacement, ∆φ M p , where M p is the reduced Planck mass. We will provide, for the first time, a set of new consistency relationships for sub-Planckian excursion of the inflaton field, which would help us to differentiate sub-versus-super Planckian models of inflation. For a generic single field inflationary potential, we will be able to put a stringent bound on the potential energy density: 2.07 × 10 16 GeV ≤ 4 √ V ≤ 2.40 × 10 16 GeV, where inflation can occur on the flat potential within, 0.066 ≤ |∆φ| Mp ≤ 0.092, for the following observational constraints: (Planck+WMAP-9+high L+BICEP2). We then provide a prediction for the spectral tilt (n T ), running (α T ) and running of running (κ T ) of the tensor modes within the window, −0.019 < n T < −0.033, −2.97 × 10 −4 < α T (= dn T /d ln k) < 2.86 × 10 −5 , and −0.11 × 10 −4 < κ T (= d 2 n T /d ln k 2 ) < −3.58 × 10 −4 , in a model independent way. We also provide a simple example of an inflection-point model of inflation and reconstruct the potential in a model independent way to match the current observations.

In this paper we provide an accurate bound on primordial gravitational waves, i.e. tensor-to-scalar ratio $(r)$ for a general class of single-field models of inflation where inflation occurs always below the Planck scale, and the field displacement during inflation remains sub-Planckian. If inflation has to make connection with the real particle physics framework then it must be explained within an effective field theory description where it can be trustable below the UV cut-off of the scale of gravity. We provide an analytical estimation and estimate the largest possible $r$, i.e. $r\leq 0.12$, for the field displacement less than the Planck cut-off.Comment: 13 pages, Revised version, Accepted for publication in Nuclear Physics

We introduce a model of potential driven DBI Galileon inflation in background N=1,D=4 SUGRA. Starting from D4-$\bar{D4}$ brane-antibrane in the bulk N=2,D=5 SUGRA including quadratic Gauss-Bonnet corrections, we derive an effective N=1,D=4 SUGRA by dimensional reduction, that results in a Coleman-Weinberg type Galileon potential. We employ this potential in modeling inflation and in subsequent study of primordial quantum fluctuations for scalar and tensor modes. Further, we estimate the major observable parameters in both de Sitter (DS) and beyond de Sitter (BDS) limits and confront them with recent observational data from WMAP7 by using the publicly available code CAMB.Comment: 24 pages, 5 figures, Accepted for publication in Nuclear Physics

In this work, we study the quantum entanglement and compute entanglement entropy in de Sitter space for a bipartite quantum field theory driven by axion originating from Type IIB string compactification on a Calabi-Yau three fold (CY 3 ) and in presence of NS5 brane. For this compuation, we consider a spherical surface S 2 , which divide the spatial slice of de Sitter (dS 4 ) into exterior and interior sub regions. We also consider the initial choice of vaccum to be Bunch-Davies state. First we derive the solution of the wave function of axion in a hyperbolic open chart by constructing a suitable basis for Bunch-Davies vacuum state using Bogoliubov transformation. We then, derive the expression for density matrix by tracing over the exterior region. This allows us to compute entanglement entropy and Rényi entropy in 3 + 1 dimension. Further we quantify the UV finite contribution of entanglement entropy which contain the physics of long range quantum correlations of our expanding universe. Finally, our analysis compliments the necessary condition for generating non vanishing entanglement entropy in primordial cosmology due to the axion.

In this paper we will analyze generic predictions of an inflection-point model of inflation with Hubble-induced corrections and study them in light of the Planck data. Typically inflection-point models of inflation can be embedded within Minimal Supersymmetric Standard Model (MSSM) where inflation can occur below the Planck scale. The flexibility of the potential allows us to match the observed amplitude of the TT-power spectrum of the cosmic microwave background radiation with low and high multipoles, spectral tilt, and virtually mild running of the spectral tilt, which can put a bound on an upper limit on the tensor-to-scalar ratio, r ≤ 0.12. Since the inflaton within MSSM carries the Standard Model charges, therefore it is the minimal model of inflation beyond the Standard Model which can reheat the universe with the right thermal degrees of freedom without any dark-radiation.