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We consider CFTs conjectured to be dual to higher spin theories of gravity in AdS_3 and AdS_4. Two dimensional CFTs with W_N symmetry are considered in the lambda=0 (k --> infinity) limit, where they are conjectured to be described by…

We study the thermodynamic properties of the simplest gauged permutation invariant matrix quantum mechanical system of oscillators, for general matrix size $N$. In the canonical ensemble, the model has a transition at a temperature $T$…

High Energy Physics - Theory · Physics 2025-02-18 Denjoe O'Connor , Sanjaye Ramgoolam

In this paper we calculate the tree level three-point functions of Vasiliev's higher spin gauge theory in AdS4 and find agreement with the correlators of the free field theory of N massless scalars in three dimensions in the O(N) singlet…

High Energy Physics - Theory · Physics 2014-11-20 Simone Giombi , Xi Yin

In previous work we constructed an explicit mapping between large $N$ vector models (free or critical) in $d$ dimensions and a non-local high-spin gravity theory on $AdS_{d+1}$, such that the gravitational theory reproduces the field theory…

High Energy Physics - Theory · Physics 2023-03-22 Ofer Aharony , Shai M. Chester , Tal Sheaffer , Erez Y. Urbach

We use a ten dimensional dual string background to aspects of the physics large N four dimensional SU(N) gauge theory, where its fundamental quarks are charged under a background electric field. The theory is N=2 supersymmetric for…

High Energy Physics - Theory · Physics 2009-06-11 Tameem Albash , Veselin Filev , Clifford V. Johnson , Arnab Kundu

We consider a singleton deformation of the AdS4 higher-spin theory dual to the three-dimensional O(N) vector model. The singleton couples to the higher-spin multiplet only through a marginal boundary interaction. We argue that the effect of…

High Energy Physics - Theory · Physics 2015-06-12 Robert G. Leigh , Anastasios C. Petkou

We use AdS/CFT duality to study the thermodynamics of a strongly coupled N=2 supersymmetric large Nc SU(Nc) gauge theory with Nf =2 fundamental hypermultiplets. At finite temperature T and isospin chemical potential mu, a potential on the…

High Energy Physics - Theory · Physics 2009-11-11 Riccardo Apreda , Johanna Erdmenger , Nick Evans , Zachary Guralnik

Recently, the one-loop free energy of higher spin (HS) theories in Euclidean AdS_{d+1} was calculated and matched with the order N^0 term in the free energy of the large N "vectorial" scalar CFT on the S^d boundary. Here we extend this…

High Energy Physics - Theory · Physics 2014-09-10 Simone Giombi , Igor R. Klebanov , Arkady A. Tseytlin

We show that the differences between correlators of the critical O(N) vector model in three dimensions and those of the free theory are precisely accounted for by the change of boundary condition on the bulk scalar of the dual higher spin…

High Energy Physics - Theory · Physics 2015-03-19 Simone Giombi , Xi Yin

Dimensional reduction of high temperature field theories improves IR features of their perturbative treatment. A crucial question is, what three-dimensional theory is representing the full system the most faithful way. Careful investigation…

High Energy Physics - Phenomenology · Physics 2016-09-01 Antal Jakovac

We develop a method to evaluate the partition function and energy density of a massive scalar on a 2-sphere of radius $r$ and at finite temperature $\beta$ as power series in $\frac{\beta}{r}$. Each term in the power series can be written…

High Energy Physics - Theory · Physics 2025-02-11 Justin R. David , Srijan Kumar

We perform an analytical and numerical study of the phase transitions in three-dimensional Z(N) lattice gauge theories at finite temperature for N>4 exploiting equivalence of these models with a generalized version of the two-dimensional…

High Energy Physics - Lattice · Physics 2015-06-05 O. Borisenko , V. Chelnokov , G. Cortese , R. Fiore , M. Gravina , A. Papa , I. Surzhikov

The vacuum of a large-N gauge field on a p-torus has a spatial stress tensor with tension along the direction of smallest periodicity and equal pressures (but p times smaller in magnitude) along the other directions, assuming an AdS/CFT…

High Energy Physics - Theory · Physics 2008-11-26 Don N. Page

We analyze the phase structure of $SU(\infty)$ gauge theory at finite temperature using matrix models. Our basic assumption is that the effective potential is dominated by double-trace terms for the Polyakov loops. As a function of the…

High Energy Physics - Theory · Physics 2017-12-25 Hiromichi Nishimura , Robert D. Pisarski , Vladimir V. Skokov

In studying the dynamics of large N_c, SU(N_c) gauge theory at finite temperature with fundamental quark flavours in the quenched approximation, we observe a first order phase transition. A quark condensate forms at finite quark mass, and…

High Energy Physics - Theory · Physics 2008-11-26 Tameem Albash , Veselin Filev , Clifford V. Johnson , Arnab Kundu

In this note, motivated by the Klebanov-Polyakov conjecture we investigate the strongly coupled O(N) vector model at large $N$ on a squashed three-sphere and its holographic relation to bulk gravity on asymptotically locally $AdS_4$ spaces.…

High Energy Physics - Theory · Physics 2008-11-26 Mark D. Yonge

We consider the holographic duality where the CFT side is given by $SU(N)$ adjoint free scalar field theory. Compared to the vector models, the set of single trace operators is immensely extended so that the corresponding AdS theory also…

High Energy Physics - Theory · Physics 2016-05-04 Jin-Beom Bae , Euihun Joung , Shailesh Lal

We study the effective field theory of a weakly coupled 3+1d gauged $\phi^4$ type model at high temperature. Our model has $4N$ real scalars ($N$ complex Higgs doublets) and a gauge group $SU(2)$ which is spontaneously broken by a nonzero…

High Energy Physics - Phenomenology · Physics 2009-10-22 Vidyut Jain , Aris Papadopoulos

We explicitly rewrite the path integral for the free or critical $O(N)$ (or $U(N)$) bosonic vector models in $d$ space-time dimensions as a path integral over fields (including massless high-spin fields) living on ($d+1$)-dimensional…

High Energy Physics - Theory · Physics 2022-03-23 Ofer Aharony , Shai M. Chester , Erez Y. Urbach

We study Vasiliev's system of higher spin gauge fields coupled to massive scalars in AdS_3, and compute the tree level two and three point functions. These are compared to the large N limit of the W_N minimal model, and nontrivial…

High Energy Physics - Theory · Physics 2015-05-28 Chi-Ming Chang , Xi Yin