scholarly journals BFKL spectrum of N $$ \mathcal{N} $$ = 4: non-zero conformal spin

2018 ◽  
Vol 2018 (7) ◽  
Author(s):  
Mikhail Alfimov ◽  
Nikolay Gromov ◽  
Grigory Sizov
Keyword(s):  
Conformal Spin

Pseudo-Unitary Conformal Spin Structures

2008 ◽  
Vol 18 (3-4) ◽  
pp. 325-351
Author(s):  
Pierre Anglès
Keyword(s):  
Spin Structures ◽  
Conformal Spin

Super analog of conformal spin

1985 ◽  
Vol 112 (3-4) ◽  
pp. 104-106 ◽  
Author(s):  
B.A. Kupershmidt
Keyword(s):  
Conformal Spin

Higher conformal spin extensions of the Frappat et al. symmetry

1995 ◽  
Vol 353 (2-3) ◽  
pp. 209-212 ◽  
Author(s):  
E.H. Saidi ◽  
M.B. Sedra ◽  
A. Serhani
Keyword(s):  
Conformal Spin

scholarly journals STRINGS AND MEMBRANES FROM EINSTEIN GRAVITY, MATRIX MODELS AND W∞ GAUGE THEORIES AS PATHS TO QUANTUM GRAVITY

2008 ◽  
Vol 23 (24) ◽  
pp. 3901-3945
Author(s):  
CARLOS CASTRO
Keyword(s):  
Field Theory ◽  
Quantum Gravity ◽  
Order Approximation ◽  
Quantum Hall ◽  
Einstein Gravity ◽  
Irreducible Representations ◽  
Large N ◽  
Conformal Spin ◽  
Infinite Component ◽  
2D And 3D

It is shown how w∞, w1+∞ gauge field theory actions in 2D emerge directly from 4D gravity. Strings and membranes actions in 2D and 3D originate as well from 4D Einstein gravity after recurring to the nonlinear connection formalism of Lagrange–Finsler and Hamilton–Cartan spaces. Quantum gravity in 3D can be described by a W∞ matrix model in D = 1 that can be solved exactly via the collective field theory method. We describe why a quantization of 4D gravity could be attained via a 2D quantum W∞ gauge theory coupled to an infinite-component scalar-multiplet. A proof that noncritical W∞ (super)strings are devoid of BRST anomalies in dimensions D = 27(D = 11), respectively, follows and which coincide with the critical (super)membrane dimensions D = 27(D = 11). We establish the correspondence between the states associated with the quasifinite highest weights irreducible representations of W∞, [Formula: see text] algebras and the quantum states of the continuous Toda molecule. Schrödinger-like quantum mechanics wave functional equations are derived and solutions are found in the zeroth-order approximation. Since higher-conformal spin W∞ symmetries are very relevant in the study of 2DW∞ gravity, the quantum Hall effect, large N QCD, strings, membranes, … it is warranted to explore further the interplay among all these theories.

scholarly journals On the low-energy description for tunnel-coupled one-dimensional Bose gases

2020 ◽  
Vol 9 (2) ◽  
Author(s):  
Yuri Daniel van Nieuwkerk ◽  
Fabian Essler
Keyword(s):  
Bose Gases ◽  
Initial State ◽  
One Dimensional ◽  
Equilibrium Dynamics ◽  
Wall Boundary Conditions ◽  
Phase Fields ◽  
Conformal Spin ◽  
Sine Gordon Model ◽  
Two Sectors ◽  
Scaling Dimension

We consider a model of two tunnel-coupled one-dimensional Bose gases with hard-wall boundary conditions. Bosonizing the model and retaining only the most relevant interactions leads to a decoupled theory consisting of a quantum sine-Gordon model and a free boson, describing respectively the antisymmetric and symmetric combinations of the phase fields. We go beyond this description by retaining the perturbation with the next smallest scaling dimension. This perturbation carries conformal spin and couples the two sectors. We carry out a detailed investigation of the effects of this coupling on the non-equilibrium dynamics of the model. We focus in particular on the role played by spatial inhomogeneities in the initial state in a quantum quench setup.

scholarly journals Reflection identities of harmonic sums and pole decomposition of BFKL eigenvalue

2021 ◽  
pp. 2150025
Author(s):  
Mohammad Joubat ◽  
Alex Prygarin
Keyword(s):  
Conformal Spin

We analyze the recent results of next-to-next-to-leading (NNLO) singlet BFKL eigenvalue in [Formula: see text] SYM written in terms of harmonic sums. The nested harmonic sums building known NNLO BFKL eigenvalue for specific values of the conformal spin have poles at negative integers. We sort the harmonic sums according to the complexity with respect to their weight and depth and use their pole decomposition in terms of the reflection identities to find the most complicated terms of NNLO BFKL eigenvalue for an arbitrary value of the conformal spin. The obtained result is compatible with the Bethe–Salpeter approach to the BFKL evolution.

Vertex functions and form factors for conformal spin-1/2 systems

1977 ◽  
Vol 37 (4) ◽  
pp. 330-342 ◽  
Author(s):  
P. Menotti ◽  
M. C. Prati
Keyword(s):  
Form Factors ◽  
Conformal Spin
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