3,370 research outputs found
Bootstrapping 2D CFTs in the Semiclassical Limit
We study two dimensional conformal field theories in the semiclassical limit.
In this limit, the four-point function is dominated by intermediate primaries
of particular weights along with their descendants, and the crossing equations
simplify drastically. For a four-point function receiving sufficiently small
contributions from the light primaries, the structure constants involving heavy
primaries follow a universal formula. Applying our results to the four-point
function of the twist field in the symmetric product orbifold, we
produce the Hellerman bound and the logarithmically corrected Cardy formula
that is valid for .Comment: 32 pages, 7 figures. v2, v3: references added, minor clarification
Carving Out the End of the World or (Superconformal Bootstrap in Six Dimensions)
We bootstrap superconformal field theories in six
dimensions, by analyzing the four-point function of flavor current multiplets.
Assuming flavor group, we present universal bounds on the central charge
and the flavor central charge . Based on the numerical data, we
conjecture that the rank-one E-string theory saturates the universal lower
bound on , and numerically determine the spectrum of long multiplets in
the rank-one E-string theory. We comment on the possibility of solving the
higher-rank E-string theories by bootstrap and thereby probing M-theory on
AdS/.Comment: 59 pages, 10 figures, 4 tables; v2-v5: typos corrected, references
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