6,032 research outputs found
An exact prediction of [script N] = 4 supersymmetric Yang–Mills theory for string theory
We propose that the expectation value of a circular BPS-Wilson loop in [script N] = 4 supersymmetric Yang–Mills can be calculated exactly, to all orders in a 1/N expansion and to all orders in g2N. Using the AdS/CFT duality, this result yields a prediction of the value of the string amplitude with a circular boundary to all orders in alpha[prime] and to all orders in gs. We then compare this result with string theory. We find that the gauge theory calculation, for large g2N and to all orders in the 1/N2 expansion, does agree with the leading string theory calculation, to all orders in gs and to lowest order in alpha[prime]. We also find a relation between the expectation value of any closed smooth Wilson loop and the loop related to it by an inversion that takes a point along the loop to infinity, and compare this result, again successfully, with string theory
A line of CFTs: from generalized free fields to SYK
We point out that there is a simple variant of the SYK model, which we call
cSYK, that is invariant for all values of the coupling. The
modification consists of replacing the UV part of the SYK action with a
quadratic bilocal term. The corresponding bulk dual is a non-gravitational
theory in a rigid AdS background. At weak coupling cSYK is a generalized
free field theory; at strong coupling, it approaches the infrared of SYK. The
existence of this line of fixed points explains the previously found connection
between the three-point function of bilinears in these two theories at large
.Comment: 26 pages, v
String field theory, non-commutative Chern-Simons theory and Lie algebra cohomology
Motivated by noncommutative Chern-Simons theory, we construct an infinite
class of field theories that satisfy the axioms of Witten's string field
theory. These constructions have no propagating open string degrees of freedom.
We demonstrate the existence of non-trivial classical solutions. We find Wilson
loop-like observables in these examples.Comment: 10 pages, RevTe
The Bulk Dual of SYK: Cubic Couplings
The SYK model, a quantum mechanical model of Majorana fermions
, with a -body, random interaction, is a novel realization of
holography. It is known that the AdS dual contains a tower of massive
particles, yet there is at present no proposal for the bulk theory. As SYK is
solvable in the expansion, one can systematically derive the bulk. We
initiate such a program, by analyzing the fermion two, four and six-point
functions, from which we extract the tower of singlet, large dominant,
operators, their dimensions, and their three-point correlation functions. These
determine the masses of the bulk fields and their cubic couplings. We present
these couplings, analyze their structure and discuss the simplifications that
arise for large .Comment: 39 pages, v2: Evaluation of integral in Sec. 3.3.2 correcte
Twists and Wilson Loops in the String Theory of Two Dimensional QCD
Many Texo's have been corrected and a reference added.Comment: 57 pages, CERN-TH. 6827/93, PUPT-1382,LBL-33458, UCB-PTH-93/0
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