Clifford Analysis for Higher Spins

1993 ◽  
pp. 223-232 ◽  
Author(s):  
Vladimír Souček
Keyword(s):  
Clifford Analysis ◽  
Higher Spins

scholarly journals Simple unfolded equations for massive higher spins in AdS3

2018 ◽  
Vol 2018 (8) ◽  
Author(s):  
Pan Kessel ◽  
Joris Raeymaekers
Keyword(s):  
Higher Spins

scholarly journals The 3d $$ \mathcal{N} $$ = 6 bootstrap: from higher spins to strings to membranes

2021 ◽  
Vol 2021 (5) ◽  
Author(s):  
Damon J. Binder ◽  
Shai M. Chester ◽  
Max Jerdee ◽  
Silviu S. Pufu
Keyword(s):  
Block Decomposition ◽  
Point Function ◽  
Present Evidence ◽  
Bootstrap Techniques ◽  
Wide Range ◽  
Higher Spin ◽  
Tensor Multiplet ◽  
Higher Spins ◽  
M Theory ◽  
Chern Simons

Abstract We study the space of 3d $$ \mathcal{N} $$ N = 6 SCFTs by combining numerical bootstrap techniques with exact results derived using supersymmetric localization. First we derive the superconformal block decomposition of the four-point function of the stress tensor multiplet superconformal primary. We then use supersymmetric localization results for the $$ \mathcal{N} $$ N = 6 U(N)k × U(N + M)−k Chern-Simons-matter theories to determine two protected OPE coefficients for many values of N, M, k. These two exact inputs are combined with the numerical bootstrap to compute precise rigorous islands for a wide range of N, k at M = 0, so that we can non-perturbatively interpolate between SCFTs with M-theory duals at small k and string theory duals at large k. We also present evidence that the localization results for the U(1)2M × U (1 + M)−2M theory, which has a vector-like large-M limit dual to higher spin theory, saturates the bootstrap bounds for certain protected CFT data. The extremal functional allows us to then conjecturally reconstruct low-lying CFT data for this theory.

scholarly journals Higher spins from exotic dualisations

2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
Nicolas Boulanger ◽  
Victor Lekeu
Keyword(s):  
Infinite Number ◽  
Arbitrary Number ◽  
Degrees Of Freedom ◽  
Young Tableaux ◽  
Spacetime Dimension ◽  
Massless Field ◽  
Free Level ◽  
Higher Spins

Abstract At the free level, a given massless field can be described by an infinite number of different potentials related to each other by dualities. In terms of Young tableaux, dualities replace any number of columns of height hi by columns of height D − 2 − hi, where D is the spacetime dimension: in particular, applying this operation to empty columns gives rise to potentials containing an arbitrary number of groups of D − 2 extra antisymmetric indices. Using the method of parent actions, action principles including these potentials, but also extra fields, can be derived from the usual ones. In this paper, we revisit this off-shell duality and clarify the counting of degrees of freedom and the role of the extra fields. Among others, we consider the examples of the double dual graviton in D = 5 and two cases, one topological and one dynamical, of exotic dualities leading to spin three fields in D = 3.

scholarly journals Hyperbolic cylinders and entanglement entropy: gravitons, higher spins, p-forms

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Justin R. David ◽  
Jyotirmoy Mukherjee
Keyword(s):  
Stress Tensor ◽  
Entanglement Entropy ◽  
Partition Functions ◽  
Point Function ◽  
Expectation Value ◽  
Massive Spin ◽  
Twist Operator ◽  
Higher Spins ◽  
Hyperbolic Cylinders ◽  
Kaluza Klein

Abstract We show that the entanglement entropy of D = 4 linearized gravitons across a sphere recently computed by Benedetti and Casini coincides with that obtained using the Kaluza-Klein tower of traceless transverse massive spin-2 fields on S1× AdS3. The mass of the constant mode on S1 saturates the Brietenholer-Freedman bound in AdS3. This condition also ensures that the entanglement entropy of higher spins determined from partition functions on the hyperbolic cylinder coincides with their recent conjecture. Starting from the action of the 2-form on S1× AdS5 and fixing gauge, we evaluate the entanglement entropy across a sphere as well as the dimensions of the corresponding twist operator. We demonstrate that the conformal dimensions of the corresponding twist operator agrees with that obtained using the expectation value of the stress tensor on the replica cone. For conformal p-forms in even dimensions it obeys the expected relations with the coefficients determining the 3-point function of the stress tensor of these fields.

scholarly journals String amplitudes and framelike formalism for higher spins

2012 ◽  
Vol 85 (10) ◽  
Author(s):  
Seungjin Lee ◽  
Dimitri Polyakov
Keyword(s):  
String Amplitudes ◽  
Higher Spins

On generalized Hilbert transforms and their interaction with the Radon transform in Clifford analysis

2007 ◽  
Vol 30 (9) ◽  
pp. 1071-1092 ◽  
Author(s):  
Fred Brackx ◽  
Bram De Knock ◽  
Hennie De Schepper
Keyword(s):  
Radon Transform ◽  
Clifford Analysis ◽  
Hilbert Transforms

Eigenvalue problems in the framework of Clifford analysis

2001 ◽  
Vol 11 (S2) ◽  
pp. 301-316 ◽  
Author(s):  
Wolfgang Sprößig
Keyword(s):  
Clifford Analysis ◽  
Eigenvalue Problems

scholarly journals Higher spins in hyper-superspace

2015 ◽  
Vol 890 ◽  
pp. 279-301 ◽  
Author(s):  
Ioannis Florakis ◽  
Dmitri Sorokin ◽  
Mirian Tsulaia
Keyword(s):  
Higher Spins

scholarly journals Numerical Clifford analysis for nonlinear Schrödinger problem

2008 ◽  
Vol 24 (4) ◽  
pp. 1181-1202 ◽  
Author(s):  
P. Cerejeiras ◽  
N. Faustino ◽  
N. Vieira
Keyword(s):  
Clifford Analysis ◽  
Nonlinear Schrödinger
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