Published January 28, 2013 | Version v1
Journal article

Minimal Area Surfaces, Euclidean Wilson loops and Riemann Theta Functions

  • 1. Department of Physics, Purdue University, 525 Northwestern Avenue, W. Lafayette, IN 47907-2036 (United States)

Description

The AdS/CFT correspondence relates Wilson loops in supersymmetric N = 4 gauge theory to minimal area surfaces in anti-de Sitter space. In this paper we consider the case of Euclidean flat Wilson loops which are related to minimal area surfaces in Euclidean AdS3 space. Using known mathematical results for such minimal area surfaces we describe an infinite parameter family of analytic solutions for closed Wilson loops. Further, we also consider examples of surfaces with two boundaries dual to correlators of two Wilson loops.

Availability note (English)

Available from http://dx.doi.org/10.1088/1742-6596/411/1/012017

Additional details

Publishing Information

Journal Title
Journal of Physics. Conference Series (Online)
Journal Volume
411
Journal Issue
1
Journal Page Range
[8 p.]
ISSN
1742-6596

Conference

Title
20. international conference on integrable systems and quantum symmetries
Acronym
ISQS-20
Dates
17-23 Jun 2012
Place
Prague (Czech Republic)

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
44070015
Subject category
S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
Resource subtype / Literary indicator
Conference
Descriptors DEI
ANALYTICAL SOLUTION; ANTI DE SITTER SPACE; CONFORMAL INVARIANCE; EUCLIDEAN SPACE; GAUGE INVARIANCE; QUANTUM FIELD THEORY; RIEMANN FUNCTION; SUPERSYMMETRY; SURFACES; WILSON LOOP
Descriptors DEC
FIELD THEORIES; FUNCTIONS; INVARIANCE PRINCIPLES; MATHEMATICAL SOLUTIONS; MATHEMATICAL SPACE; RIEMANN SPACE; SPACE; SYMMETRY