scholarly journals Building bulk from Wilson loops

2020 ◽  
Author(s):  
Koji Hashimoto
Keyword(s):  
Wilson Loops ◽  
Expectation Values ◽  
Quark Potential

Abstract We provide formulas for holographically building a bulk metric from given expectation values of rectangular Wilson loops. As a corollary, we prove that any confining quark potential necessarily leads to the existence of a bulk IR bottom.

Aharony–Bergman–Jafferis–Maldacena Wilson Loops in the Fermi Gas Approach

2013 ◽  
Vol 68 (1-2) ◽  
pp. 178-209 ◽  
Author(s):  
Albrecht Klemm ◽  
Marcos Mariño ◽  
Masoud Soroush
Keyword(s):  
Vacuum Expectation ◽  
Fermi Gas ◽  
Wilson Loops ◽  
Winding Number ◽  
Airy Functions ◽  
Mechanical Problem ◽  
Expectation Values ◽  
The Matrix ◽  
Statistical Mechanical ◽  
Chern Simons

The matrix model of the Aharony-Bergman-Jafferis-Maldacena theory can be formulated in terms of an ideal Fermi gas with a non-trivial one-particle Hamiltonian. We show that, in this formalism, vacuum expectation values (vevs) of Wilson loops correspond to averages of operators in the statistical-mechanical problem. This makes it possible to calculate these vevs at all orders in 1/N, up to exponentially small corrections, and for arbitrary Chern-Simons coupling, by using the Wentzel- Kramer-Brillouin expansion.We present explicit results for the vevs of 1/6 and the 1/2 Bogomolnyi- Prasad-Sommerfield Wilson loops, at any winding number, in terms of Airy functions. Our expressions are shown to reproduce the low genus results obtained previously in the ’t Hooft expansion.

HEAVY QUARK POTENTIAL IN LATTICE QCD: A REVIEW OF RECENT PROGRESS AT CALTECH

1991 ◽  
Vol 02 (02) ◽  
pp. 637-658 ◽  
Author(s):  
H.-Q. DING
Keyword(s):  
Recent Progress ◽  
Critical Phenomenon ◽  
Parallel Computers ◽  
Ratio Method ◽  
Published Data ◽  
Wilson Loops ◽  
New Methods ◽  
Key Issues ◽  
Quark Potential ◽  
Heavy Quark Potential

Recent progress on the calculation of the [Formula: see text] – potential is reviewed. Scaling is discussed from the perspective of critical phenomenon. Methods for fitting the correlations of Polyakov operators and the Wilson loops are reviewed and two new methods, the iterative method and the improved ratio method, are discussed in detail. These new methods are used to analyze/re-analyze the previously published data on Polyakov loops and new data on large Wilson loops. Convincing numerical evidences together with several analytical arguments strongly support the conclusion that the asymptotic scaling sets in at β~6 with [Formula: see text] and α=0.43±0.03. These results agree well with the potential model analysis of experimental data on [Formula: see text] and [Formula: see text] systems, and favors the Neveu-Schwarz strings as the underlying string theory. Finally, key issues on the use of the parallel computers are explored, with the conclusion that parallel computers are highly suitable for these floating-point intensive computations.

scholarly journals Wilson loops in 5d long quiver gauge theories

2020 ◽  
Vol 2020 (9) ◽  
Author(s):  
Christoph F. Uhlemann
Keyword(s):  
Field Theory ◽  
Fixed Points ◽  
Wilson Loop ◽  
Gauge Theories ◽  
Internal Space ◽  
Wilson Loops ◽  
Expectation Values ◽  
Holographic Duals ◽  
Two Parameter ◽  
Supergravity Solution

Abstract Quiver gauge theories with a large number of nodes host a wealth of Wilson loop operators. Expectation values are obtained, using supersymmetric localization, for Wilson loops in the antisymmetric representations associated with each individual gauge node, for a sample of 5d long quiver gauge theories whose UV fixed points have holographic duals in Type IIB. The sample includes the TN theories and the results are uniformly given in terms of Bloch-Wigner functions. The holographic representation of the Wilson loops is identified. It comprises, for each supergravity solution, a two-parameter family of D3-branes which exactly reproduce the field theory results and identify points in the internal space with the faces of the associated 5-brane web. The expectation values of (anti)fundamental Wilson loops exhibit an enhanced scaling for many operators, which matches between field theory and supergravity.

CHERN-SIMONS THEORY AND KAUFFMAN POLYNOMIALS

1990 ◽  
Vol 05 (06) ◽  
pp. 1165-1195 ◽  
Author(s):  
YONG-SHI WU ◽  
KENGO YAMAGISHI
Keyword(s):  
Lie Algebras ◽  
Simons Theory ◽  
Wilson Loops ◽  
Expectation Values ◽  
Simple Lie Algebras ◽  
Link Invariants ◽  
Chern Simons ◽  
Knots And Links ◽  
Chern Simons Theory

We report on a study of the expectation values of Wilson loops in D=3 Chern-Simons theory. The general skein relations (of higher orders) are derived for these expectation values. We show that the skein relations for the Wilson loops carrying the fundamental representations of the simple Lie algebras SO(n) and Sp(n) are sufficient to determine invariants for all knots and links and that the resulting link invariants agree with Kauffman polynomials. The polynomial for an unknotted circle is identified to the formal characters of the fundamental representations of these Lie algebras.

scholarly journals LESS IS MORE: NONRENORMALIZATION THEOREMS FROM LOWER DIMENSIONAL SUPERSPACE

2005 ◽  
Vol 20 (19) ◽  
pp. 4546-4553 ◽  
Author(s):  
ZACHARY GURALNIK ◽  
STEFANO KOVACS ◽  
BOGDAN KULIK
Keyword(s):  
Wilson Loops ◽  
Expectation Values ◽  
Supersymmetry Algebra ◽  
Yang Mills ◽  
Less Is More ◽  
New Class ◽  
Chiral Ring ◽  
Lower Dimensional ◽  
Super Yang Mills Theory

We discuss a new class of non-renormalization theorems in [Formula: see text] and [Formula: see text] Super-Yang-Mills theory, obtained by using a superspace which makes a lower dimensional subgroup of the full supersymmetry manifest. Certain Wilson loops (and Wilson lines) belong to the chiral ring of the lower dimensional supersymmetry algebra, and their expectation values can be computed exactly.

scholarly journals Wilson loops in circular quiver SCFTs at strong coupling

2021 ◽  
Vol 2021 (2) ◽  
Author(s):  
Hao Ouyang
Keyword(s):  
Strong Coupling ◽  
Wilson Loops ◽  
Expectation Values ◽  
Hooft Coupling

Abstract We study circular BPS Wilson loops in the $$ \mathcal{N} $$ N = 2 superconformal n-node quiver theories at large N and strong ’t Hooft coupling by using localization. We compute the expectation values of Wilson loops in the limit when the ’t Hooft couplings are hierarchically different and when they are nearly equal. Based on these results, we make a conjecture for arbitrary strong couplings.

scholarly journals Wilson loop correlators in $$ \mathcal{N} $$ = 2 superconformal quivers

2021 ◽  
Vol 2021 (11) ◽  
Author(s):  
Francesco Galvagno ◽  
Michelangelo Preti
Keyword(s):  
Wilson Loop ◽  
Vacuum Expectation ◽  
Wilson Loops ◽  
Expectation Values ◽  
Four Dimensions

Abstract We complete the program of [1] about perturbative approaches for $$ \mathcal{N} $$ N = 2 superconformal quiver theories in four dimensions. We consider several classes of observables in presence of Wilson loops, and we evaluate them with the help of supersymmetric localization. We compute Wilson loop vacuum expectation values, correlators of multiple coincident Wilson loops and one-point functions of chiral operators in presence of them acting as superconformal defects. We extend this analysis to the most general case considering chiral operators and multiple Wilson loops scattered in all the possible ways among the vector multiplets of the quiver. Finally, we identify twisted and untwisted observables which probe the orbifold of AdS5 × S5 with the aim of testing possible holographic perspectives of quiver theories in $$ \mathcal{N} $$ N = 2.

HOLOGRAPHY OF ROTATING DUAL GIANT WILSON LOOPS

2008 ◽  
Vol 23 (14n15) ◽  
pp. 2267-2268
Author(s):  
AKITSUGU MIWA ◽  
YOSKE SUMITOMO ◽  
KENTAROH YOSHIDA
Keyword(s):  
Correlation Functions ◽  
Wilson Loops ◽  
Wick Rotation ◽  
Expectation Values ◽  
Giant Graviton

We briefly review a tunneling picture of rotating D3-brane solutions. By applying the "double Wick rotation" to the Lorentzian solutions, we construct Euclidean solutions. The solutions are composed of dual giant gravitons and spike D3-brane solutions, and their classical actions reproduce expectation values of the k-th symmetric Wilson loops as well as correlation functions of dual giant graviton operators as expected.

The isotope effect in electronic expectation values: an all-quantum study of C6H6 and C6D6

1998 ◽  
Vol 93 (5) ◽  
pp. 801-807
Author(s):  
JOACHIM SCHULTE ◽  
MICHAEL BOHM ◽  
RAFAEL RAMIREZ
Keyword(s):  
Isotope Effect ◽  
Expectation Values
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