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1 vote
0 answers
33 views

Why Is There No Oscillator Representation for Operators in Planar ${\cal N}=4$ SYM Theory?

I'm studying the planar ${\cal N}=4$ Super Yang-Mills (SYM) theory and I'm curious about the representations of its operators, specifically the Hamiltonian and the dilatation operator. In many quantum ...
iron's user avatar
  • 43
0 votes
0 answers
15 views

Why do we expect isometries of bulk side to be equivalent to symmetries of the CFT?

One can clearly see that the AdS bulk isometries form the $SO(d,2)$ symmetry of the $d$ dimensional CFT explicitly. Why does this occur: why don't the isometries of the spacetimes match up or the ...
Sanjana's user avatar
  • 785
1 vote
1 answer
172 views

Dynkin labels of $psu(2,2|4)$

I'm currently studying the superconformal algebra $psu(2,2|4)$, but I'm having trouble understanding its representation. Following arxiv:1012.4004 I know that the maximal compact subalgebra is su(2) $\...
iron's user avatar
  • 43
5 votes
0 answers
829 views

Understanding the Monster CFT

I try to understand what the Monster CFT and its possible connection to 3 dimensional gravity at ($c=24$) is about (see https://arxiv.org/abs/0706.3359) To my best understanding (and please correct ...
ungerade's user avatar
  • 1,354
3 votes
1 answer
467 views

Singleton representations of $SO(2, d)$?

What is meant by "singleton" representations of $SO(2, d)$ and 'small representations' in Witten's paper, Anti de Sitter Space and Holography?
leastaction's user avatar
  • 2,095
5 votes
1 answer
600 views

Some questions about the paper, "AdS description of induced higher spin gauge theory"

I am referring to this paper. I guess that in this paper one is trying to relate the massless spin $s$ gauge fields in $AdS_4$ to conformal spin $s$ theory on $S^3$. So am I right that the ...
user6818's user avatar
  • 4,619