901 research outputs found
Bootstrapping the 3d Ising twist defect
Recent numerical results point to the existence of a conformally invariant
twist defect in the critical 3d Ising model. In this note we show that this
fact is supported by both epsilon expansion and conformal bootstrap
calculations. We find that our results are in good agreement with the numerical
data. We also make new predictions for operator dimensions and OPE coefficients
from the bootstrap approach. In the process we derive universal bounds on
one-dimensional conformal field theories and conformal line defects.Comment: 24+8 pages, 12 figures, references adde
Thermodynamic Bubble Ansatz
Motivated by the computation of scattering amplitudes at strong coupling, we
consider minimal area surfaces in AdS_5 which end on a null polygonal contour
at the boundary. We map the classical problem of finding the surface into an
SU(4) Hitchin system. The polygon with six edges is the first non-trivial
example. For this case, we write an integral equation which determines the area
as a function of the shape of the polygon. The equations are identical to those
of the Thermodynamics Bethe Ansatz. Moreover, the area is given by the free
energy of this TBA system. The high temperature limit of the TBA system can be
exactly solved. It leads to an explicit expression for a special class of
hexagonal contours.Comment: 55 pages, 22 figures. v2: references added, V3: small typo fixe
The elliptic genus from split flows and Donaldson-Thomas invariants
We analyze a mixed ensemble of low charge D4-D2-D0 brane states on the
quintic and show that these can be successfully enumerated using attractor flow
tree techniques and Donaldson-Thomas invariants. In this low charge regime one
needs to take into account worldsheet instanton corrections to the central
charges, which is accomplished by making use of mirror symmetry. All the
charges considered can be realized as fluxed D6-D2-D0 and anti-D6-D2-D0 pairs
which we enumerate using DT invariants. Our procedure uses the low charge
counterpart of the picture developed Denef and Moore. By establishing the
existence of flow trees numerically and refining the index factorization
scheme, we reproduce and improve some results obtained by Gaiotto, Strominger
and Yin. Our results provide appealing evidence that the strong split flow tree
conjecture holds and allows to compute exact results for an important sector of
the theory. Our refined scheme for computing indices might shed some light on
how to improve index computations for systems with larger charges.Comment: 37 pages, 12 figure
An Operator Product Expansion for Polygonal null Wilson Loops
We consider polygonal Wilson loops with null edges in conformal gauge
theories. We derive an OPE-like expansion when several successive lines of the
polygon are becoming aligned. The limit corresponds to a collinear, or
multicollinear, limit and we explain the systematics of all the subleading
corrections, going beyond the leading terms that were previously considered.
These subleading corrections are governed by excitations of high spin
operators, or excitations of a flux tube that goes between two Wilson lines.
The discussion is valid for any conformal gauge theory, for any coupling and in
any dimension. For N=4 super Yang Mills we check this expansion at strong
coupling and at two loops at weak coupling . We also make predictions for the
remainder function at higher loops. In the process, we also derived a new
version for the TBA integral equations that determine the strong coupling
answer and present the area as the associated Yang-Yang functional.Comment: 48 pages, 12 figures, harvmac. v2 fixed a small issue regarding
divergence
5D Black Rings and 4D Black Holes
It has recently been shown that the M theory lift of a IIA 4D BPS Calabi-Yau
black hole is a 5D BPS black hole spinning at the center of a Taub-NUT-flux
geometries, and a certain linear relation between 4D and 5D BPS partition
functions was accordingly proposed. In the present work we fortify and enrich
this proposal by showing that the M-theory lift of the general 4D multi-black
hole geometry are 5D black rings in a Taub-NUT-flux geometry.Comment: 8 pages; version 2, with additional references and explanation
N=2 SU Quiver with USP Ends or SU Ends with Antisymmetric Matter
We consider the four dimensional scale invariant N=2 SU quiver gauge theories
with USp(2N) ends or SU(2N) ends with antisymmetric matter representations. We
argue that these theories are realized as six dimensional A_{2N-1} (0,2)
theories compactified on spheres with punctures. With this realization, we can
study various strongly coupled cusps in moduli space and find the S-dual
theories. We find a class of isolated superconformal field theories with only
odd dimensional operators and superconformal field theories with
only even dimensional operators .Comment: Minor changes are made; refrences are added; 21 pages, 18 figure
Examples of M5-Brane Elliptic Genera
We determine the modified elliptic genus of an M5-brane wrapped on various
one modulus Calabi-Yau spaces, using modular invariance together with some
known Gopakumar-Vafa invariants of small degrees. As a bonus, we find
nontrivial relations among Gopakumar-Vafa invariants of different degrees and
genera from modular invariance.Comment: 13 page
New Seiberg Dualities from N=2 Dualities
We propose a number of new Seiberg dualities of N=1 quiver gauge theories.
The new Seiberg dualities originate in new S-dualities of N=2 superconformal
field theories recently proposed by Gaiotto. N=2 S-dual theories deformed by
suitable mass terms flow to our N=1 Seiberg dual theories. We show that the
number of exactly marginal operators is universal for these Seiberg dual
theories and the 't Hooft anomaly matching holds for these theories. These
provide strong evidence for the new Seiberg dualities. Furthermore, we study in
detail the Klebanov-Witten type theory and its dual as a concrete example. We
show that chiral operators and their non-linear relations match between these
theories. These arguments also give non-trivial consistency checks for our
proposal.Comment: 31 pages, 7 figures. v2:version to appear in JHE
Black Hole Deconstruction
A D4-D0 black hole can be deconstructed into a bound state of D0 branes with
a D6-anti-D6 pair containing worldvolume fluxes. The exact spacetime solution
is known and resembles a D0 accretion disk surrounding a D6-anti-D6 core. We
find a scaling limit in which the disk and core drop inside an AdS_2 throat.
Crossing this AdS_2 throat and the D0 accretion disk into the core, we find a
second scaling region describing the D6-anti-D6 pair. It is shown that the
M-theory lift of this region is AdS_3 x S^2. Surprisingly, time translations in
the far asymptotic region reduce to global, rather than Poincare, time
translations in this core AdS_3. We further find that the quantum mechanical
ground state degeneracy reproduces the Bekenstein-Hawking entropy-area law.Comment: 11 page
The M5-Brane Elliptic Genus: Modularity and BPS States
The modified elliptic genus for an M5-brane wrapped on a four-cycle of a
Calabi-Yau threefold encodes the degeneracies of an infinite set of BPS states
in four dimensions. By holomorphy and modular invariance, it can be determined
completely from the knowledge of a finite set of such BPS states. We show the
feasibility of such a computation and determine the exact modified elliptic
genus for an M5-brane wrapping a hyperplane section of the quintic threefold.Comment: 21 page
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