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We continue the study of the nocommutative $AdS_2 / CFT_1$ correspondence. We extend our previous results obtained for a free massless scalar field to the case of a massive scalar field. Both the free and interacting cases are considered.…

高能物理 - 理论 · 物理学 2019-10-16 Felipe Rodrigues de Almeida , Aleksandr Pinzul , Allen Stern

We consider a semiclassical (large string tension ~ \lambda^1/2) limit of 4-point correlator of two "heavy" vertex operators with large quantum numbers and two "light" operators. It can be written in a factorized form as a product of two…

高能物理 - 理论 · 物理学 2011-03-18 E. I. Buchbinder , A. A. Tseytlin

${\cal N} = 8$ superconformal field theories, such as the ABJM theory at Chern-Simons level $k=1$ or $2$, contain 35 scalar operators ${\cal O}_{IJ}$ with $\Delta=1$ in the ${\bf 35}_v$ representation of SO(8). The 3-point correlation…

高能物理 - 理论 · 物理学 2017-06-28 Daniel Z. Freedman , Krzysztof Pilch , Silviu S. Pufu , Nicholas P. Warner

The four-point correlation function of two 1/2 BPS primaries of conformal weight $\Delta=2$ and two 1/2-BPS primaries of conformal weight $\Delta=n$ is calculated in the large 't Hooft, large $N$ limit. These operators are dual to…

高能物理 - 理论 · 物理学 2009-04-02 Linda I. Uruchurtu

In the present paper we study SU(N)->S(U(N/2)xU(N/2)) symmetry breaking in N=4 SYM via AdS/CFT correspondence. We consider two stacks of N/2 parallel D3 branes separated by a distance 2\vec d. In this case there is mixing between the…

高能物理 - 理论 · 物理学 2009-10-31 R. C. Rashkov , K. S. Viswanathan

4D Lorentzian conformal field theory (CFT) is mapped into 5D anti-de Sitter spacetime (AdS), from the viewpoint of "geometrizing" conformal current algebra. A large-N expansion of the CFT is shown to lead to (infinitely many) weakly coupled…

高能物理 - 理论 · 物理学 2013-05-30 Raman Sundrum

We study near-extremal n-point correlation functions of chiral primary operators, in which the maximal scale dimension k is related to the others by k=\sum_i k_i-m with m equal to or smaller than n-3. Through order g^2 in field theory, we…

高能物理 - 理论 · 物理学 2016-09-06 E. D'Hoker , J. Erdmenger , D. Z. Freedman , M. Perez-Victoria

Four point functions of general N=4 1/2-BPS primary fields, satisfying the next-next-to-extremality condition \Delta_{1}+\Delta_{2}+\Delta_{3}-\Delta_{4}=4 are studied at large N and strong coupling. We apply new techniques to evaluate the…

高能物理 - 理论 · 物理学 2015-05-28 Linda I. Uruchurtu

It is shown that a nonlinear derivative-dependent transformation of gravity fields changes correlation functions in a boundary CFT, and, therefore, corresponds to a change of a basis of operators in the CFT. It is argued that only…

高能物理 - 理论 · 物理学 2009-10-31 G. Arutyunov , S. Frolov

The correspondence between the four-dimensional SU(N), $\cN = 4$ SYM taken at large $N$ and the type II B SUGRA on the $AdS_5\times S_5$ background is considered. We argue that the classical equations of motion in the SUGRA picture can be…

高能物理 - 理论 · 物理学 2016-09-06 E. T. Akhmedov

We compute all 3-point functions of the ``universal'' scalar operators contained in the interacting, maximally supersymmetric CFTs at large N by using the AdS/CFT correspondence. These SCFTs are related to the low energy description of M5,…

高能物理 - 理论 · 物理学 2009-10-31 Fiorenzo Bastianelli , Roberto Zucchini

We show that, although the correlator of four stress-tensor multiplets in N=4 SYM is known to have radiative corrections, certain linear combinations of its components are protected from perturbative renormalisation and remain at their…

高能物理 - 理论 · 物理学 2009-10-31 Burkhard Eden , Anastasios Petkou , Christian Schubert , Emery Sokatchev

We test the conjectured relationship between N=4 super Yang-Mills theory in four dimensions and IIB supergravity compactified on $AdS_5\times S_5$ by computing the two- and three-point functions of R-symmetry currents. We observe that the…

高能物理 - 理论 · 物理学 2011-05-05 G. Chalmers , H. Nastase , K. Schalm , R. Siebelink

Four-point correlation functions are observables of significant interest in holographic field theories. We compute an infinite family of four-point correlation functions of operators in short multiplets of 4D N=4 super Yang-Mills theory in…

高能物理 - 理论 · 物理学 2024-12-19 David Turton , Alexander Tyukov

The general correlator of composite operators of N=4 supersymmetric gauge field theory is divergent. We introduce a means for renormalizing these correlators by adding a boundary theory on the AdS space correcting for the divergences. Such…

高能物理 - 理论 · 物理学 2014-11-18 Gordon Chalmers , Koenraad Schalm

We review recent developments in the study of the AdS/CFT correspondence in low dimensions, focusing on the construction of AdS$_3$/CFT$_2$ and AdS$_2$/CFT$_1$ dual pairs in massive Type IIA string theory. We start discussing the…

高能物理 - 理论 · 物理学 2022-04-12 Yolanda Lozano , Nicolò Petri , Anayeli Ramirez

We discuss spectra of $AdS_3$ supergravities, arising in the near horizon geometry of D1/D5 systems in orbifolds/orientifolds of type IIB theory with 16 supercharges. These include models studied in a recent paper (hep-th/0012118), where…

高能物理 - 理论 · 物理学 2016-09-06 E. Gava , A. B. Hammou , J. F. Morales , K. S. Narain

We calculate, for the first time, three-point correlation functions involving "heavy" operators in the Schrodinger/null-dipole CFT correspondence at strong coupling. In particular, we focus on the three-point functions of the dilaton modes…

高能物理 - 理论 · 物理学 2018-09-26 George Georgiou , Dimitrios Zoakos

Six dimensional supergravities on $ADS_3 \times S^3$ present interest due to the role they play in the $AdS/CFT$ correspondence. The correspondence in this case states the equivalence between supergravity on the given background and a still…

高能物理 - 理论 · 物理学 2009-10-31 Mihail Mihailescu

We perform nonperturbative studies of N=4 super Yang-Mills theory by Monte Carlo simulation. In particular, we calculate the correlation functions of chiral primary operators to test the AdS/CFT correspondence. Our results agree with the…

高能物理 - 理论 · 物理学 2013-12-12 Masazumi Honda , Goro Ishiki , Sang-Woo Kim , Jun Nishimura , Asato Tsuchiya