Kavli Affiliate: Hirosi Ooguri
| First 5 Authors: Hirosi Ooguri, Yifan Wang, , ,
| Summary:
For any unitary conformal field theory in two dimensions with the central
charge $c$, we prove that, if there is a nontrivial primary operator whose
conformal dimension $Delta$ vanishes in some limit on the conformal manifold,
the Zamolodchikov distance $t$ to the limit is infinite, the approach to this
limit is exponential $Delta = exp(- alpha t +O(1) )$, and the decay rate
obeys the universal bounds $c^{-1/2} leq alpha leq 1$. In the limit, we also
find that an infinite tower of primary operators emerges without a gap above
the vacuum and that the conformal field theory becomes locally a tensor product
of a sigma-model in the large radius limit and a compact theory. As a
corollary, we establish a part of the Distance Conjecture about gravitational
theories in three-dimensional anti-de Sitter space. In particular, our bounds
on $alpha$ indicate that the emergence of exponentially light particles is
inevitable as the moduli field corresponding to $t$ rolls beyond the Planck
scale along the steepest path and that this phenomenon can begin already at the
curvature scale of the bulk geometry.
| Search Query: ArXiv Query: search_query=au:”Hirosi Ooguri”&id_list=&start=0&max_results=3