scholarly journals Correlation functions of the chiral stress-tensor multiplet in N = 4 $$ \mathcal{N}=4 $$ SYM

2015 ◽  
Vol 2015 (6) ◽  
Author(s):  
Dmitry Chicherin ◽  
Reza Doobary ◽  
Burkhard Eden ◽  
Paul Heslop ◽  
Gregory P. Korchemsky ◽  
...  
Keyword(s):  
Stress Tensor ◽  
Correlation Functions ◽  
Tensor Multiplet

scholarly journals Defect CFT techniques in the 6d $$ \mathcal{N} $$ = (2, 0) theory

2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
Nadav Drukker ◽  
Malte Probst ◽  
Maxime Trépanier
Keyword(s):  
Stress Tensor ◽  
Unitary Representations ◽  
Point Function ◽  
Displacement Operator ◽  
Expectation Value ◽  
Operator Expansion ◽  
Bulk Stress ◽  
Defect Operator ◽  
Tensor Multiplet

Abstract Surface operators are among the most important observables of the 6d $$ \mathcal{N} $$ N = (2, 0) theory. Here we apply the tools of defect CFT to study local operator insertions into the 1/2-BPS plane. We first relate the 2-point function of the displacement operator to the expectation value of the bulk stress tensor and translate this relation into a constraint on the anomaly coefficients associated with the defect. Secondly, we study the defect operator expansion of the stress tensor multiplet and identify several new operators of the defect CFT. Technical results derived along the way include the explicit supersymmetry tranformations of the stress tensor multiplet and the classification of unitary representations of the superconformal algebra preserved by the defect.

scholarly journals ABJ correlators with weakly broken higher spin symmetry

2021 ◽  
Vol 2021 (4) ◽  
Author(s):  
Damon J. Binder ◽  
Shai M. Chester ◽  
Max Jerdee
Keyword(s):  
Stress Tensor ◽  
Higher Spin Symmetry ◽  
Spin Symmetry ◽  
Tree Level ◽  
Ward Identities ◽  
Free Theory ◽  
Higher Spin ◽  
Breaking Parameter ◽  
Tensor Multiplet ◽  
Good Agreement

Abstract We consider four-point functions of operators in the stress tensor multiplet of the 3d $$ \mathcal{N} $$ N = 6 U(N)k× U(N + M)−k or SO(2)2k× USp(2 + 2M)−k ABJ theories in the limit where M and k are taken to infinity while N and λ ∼ M/k are held fixed. In this limit, these theories have weakly broken higher spin symmetry and are holographically dual to $$ \mathcal{N} $$ N = 6 higher spin gravity on AdS4, where λ is dual to the bulk parity breaking parameter. We use the weakly broken higher spin Ward identities, superconformal Ward identities, and the Lorentzian inversion formula to fully determine the tree level stress tensor multiplet four-point function up to two free parameters. We then use supersymmetric localization to fix both parameters for the ABJ theories in terms of λ, so that our result for the tree level correlator interpolates between the free theory at λ = 0 and a parity invariant interacting theory at λ = 1/2. We compare the CFT data extracted from this correlator to a recent numerical bootstrap conjecture for the exact spectrum of U(1)2M× U(1 + M)−2M ABJ theory (i.e. λ = 1/2 and N = 1), and find good agreement in the higher spin regime.

scholarly journals Regge trajectories for the (2, 0) theories

2022 ◽  
Vol 2022 (1) ◽  
Author(s):  
Madalena Lemos ◽  
Balt C. van Rees ◽  
Xiang Zhao
Keyword(s):  
Stress Tensor ◽  
Inversion Formula ◽  
Numerical Experiments ◽  
Iterative Scheme ◽  
Point Function ◽  
Regge Trajectories ◽  
Regge Behavior ◽  
Six Dimensions ◽  
Tensor Multiplet

Abstract We investigate the structure of conformal Regge trajectories for the maximally supersymmetric (2, 0) theories in six dimensions. The different conformal multiplets in a single superconformal multiplet must all have similarly-shaped Regge trajectories. We show that these super-descendant trajectories interact in interesting ways, leading to new constraints on their shape. For the four-point function of the stress tensor multiplet supersymmetry also softens the Regge behavior in some channels, and consequently we observe that ‘analyticity in spin’ holds for all spins greater than −3. All the physical operators in this correlator therefore lie on Regge trajectories and we describe an iterative scheme where the Lorentzian inversion formula can be used to bootstrap the four-point function. Some numerical experiments yield promising results, with OPE data approaching the numerical bootstrap results for all theories with rank greater than one.

TRANSPORT PROPERTIES OF ANYONS

1992 ◽  
Vol 06 (17) ◽  
pp. 2837-2854
Author(s):  
D. V. KHVESHCHENKO
Keyword(s):  
Phase Transition ◽  
Critical Temperature ◽  
Transport Properties ◽  
Stress Tensor ◽  
Electric Current ◽  
Normal State ◽  
Correlation Functions ◽  
Electromagnetic Response ◽  
Zero Temperature ◽  
Tensor Correlation

We consider electromagnetic response as well as electrical and thermal transport in a normal state of anyon system at finite temperatures. We find the frequency and momentum dependences of electrical and thermal conductivities in the longwavelength limit. It is also shown that a pole of electric current and stress tensor correlation functions identified at zero temperature with a gapless sound-like mode becomes a diffusion above the critical temperature of the hypothetical superfluid anyon phase transition.

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