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An Algebraic Approach to the Analytic Bootstrap
Luis F. Alday, Alexander Zhiboedov
We develop an algebraic approach to the analytic bootstrap in CFTs. By acting with the Casimir operator on the crossing equation we map the problem of doing large spin sums to any…
Looking for a bulk point
Juan Maldacena, David Simmons-Duffin, Alexander Zhiboedov
We consider Lorentzian correlators of local operators. In perturbation theory, singularities occur when we can draw a position-space Landau diagram with null lines. In theories wit…
Conformal Bootstrap With Slightly Broken Higher Spin Symmetry
Luis F. Alday, Alexander Zhiboedov
We consider conformal field theories with slightly broken higher spin symmetry in arbitrary spacetime dimensions. We analyze the crossing equation in the double light-cone limit an…
Scale-invariant breaking of conformal symmetry
Anatoly Dymarsky, Alexander Zhiboedov
Known examples of unitary relativistic scale but not conformal-invariant field theories (SFTs) can be embedded into conventional conformal field theories (CFTs). We show that any S…
New Gravitational Memories
Sabrina Pasterski, Andrew Strominger, Alexander Zhiboedov
The conventional gravitational memory effect is a relative displacement in the position of two detectors induced by radiative energy flux. We find a new type of gravitational `spin…