535 research outputs found
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
adde
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
Romans Supergravity from Five-Dimensional Holograms
We study five-dimensional superconformal field theories and their holographic
dual, matter-coupled Romans supergravity. On the one hand, some recently
derived formulae allow us to extract the central charges from deformations of
the supersymmetric five-sphere partition function, whose large N expansion can
be computed using matrix model techniques. On the other hand, the conformal and
flavor central charges can be extracted from the six-dimensional supergravity
action, by carefully analyzing its embedding into type I' string theory. The
results match on the two sides of the holographic duality. Our results also
provide analytic evidence for the symmetry enhancement in five-dimensional
superconformal field theories.Comment: 57 pages, 4 figures, 6 tables; v2: references adde
Words to describe a black hole
We revamp the constructive enumeration of 1/16-BPS states in the maximally
supersymmetric Yang-Mills in four dimensions, and search for ones that are not
of multi-graviton form. A handful of such states are found for gauge group
SU(2) at relatively high energies, resolving a decade-old enigma. Along the
way, we clarify various subtleties in the literature, and prove a
non-renormalization theorem about the exactness of the cohomological
enumeration in perturbation theory. We point out a giant-graviton-like feature
in our results, and envision that a deep analysis of our data will elucidate
the fundamental properties of black hole microstates.Comment: 13 pages, 2 figures, 5 tables; v2, v3: minor revisions, references
adde
Lorentzian Dynamics and Factorization Beyond Rationality
We investigate the emergence of topological defect lines in the conformal
Regge limit of two-dimensional conformal field theory. We explain how a local
operator can be factorized into a holomorphic and an anti-holomorphic defect
operator connected through a topological defect line, and discuss implications
on Lorentzian dynamics including aspects of chaos. We derive a formula for the
infinite boost limit, which holographically encodes the transparency/opacity of
bulk scattering, in terms of the action of topological defect lines on local
operators, and argue for a unitarity bound. Factorization also gives a formula
relating the local and defect operator algebras and fusion categorical data. We
review factorization in rational conformal field theory from a defect
perspective, and examine irrational theories. On the orbifold branch of the free boson theory, a dichotomy between rationality and irrationality is
found regarding the factorization of the twist field
Lorentzian Dynamics and Factorization Beyond Rationality
We investigate the emergence of topological defect lines in the conformal
Regge limit of two-dimensional conformal field theory. We explain how a local
operator can be factorized into a holomorphic and an anti-holomorphic defect
operator connected through a topological defect line, and discuss implications
on Lorentzian dynamics including aspects of chaos. We derive a formula relating
the infinite boost limit, which holographically encodes the "opacity" of bulk
scattering, to the action of topological defect lines on local operators.
Leveraging the unitary bound on the opacity and the positivity of fusion
coefficients, we show that the spectral radii of a large class of topological
defect lines are given by their loop expectation values. Factorization also
gives a formula relating the local and defect operator algebras, and fusion
categorical data. We then review factorization in rational conformal field
theory from a defect perspective, and examine irrational theories. On the
orbifold branch of the free boson theory, we find a unified description
for the topological defect lines through which the twist fields are factorized;
at irrational points, the twist fields factorize through "non-compact"
topological defect lines which exhibit continuous defect operator spectra.
Along the way, we initiate the development of a formalism to characterize
non-compact topological defect lines.Comment: 41+30 pages, 2 figures, 2 tables; v2: significant updates, enriched
discussion on non-compact TDLs, extended scope of opacity bound, added TDL
fusion rule in orbifold theory; v3: minor revision; v4: added Proposition
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