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Higher rank ABJM Wilson loops from matrix models

Journal Article · · Journal of High Energy Physics (Online)
 [1];  [2];  [3]
  1. Haverford College, Haverford, PA (United States); University of Michigan
  2. Univ. of Michigan, Ann Arbor, MI (United States). Michigan Center for Theoretical Physics and Dept. of Physics
  3. The Abdus Salam International Centre for Theoretical Physics, Trieste (Italy)
We compute the vacuum expectation values of 1/6 supersymmetric Wilson loops in higher dimensional representations of the gauge group in ABJM theory. We then present results for the m-symmetric and m-antisymmetric representations by exploiting standard matrix model techniques. At leading order, in the saddle point approximation, our expressions reproduce holographic results from both D6 and D2 branes corresponding to the antisymmetric and symmetric representations, respectively. We also compute 1/N corrections to the leading saddle point results.
Research Organization:
Univ. of Michigan, Ann Arbor, MI (United States)
Sponsoring Organization:
National Science Foundation (NSF); USDOE
Grant/Contract Number:
SC0007859
OSTI ID:
1425868
Alternate ID(s):
OSTI ID: 22610644
Journal Information:
Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 11 Vol. 2016; ISSN 1029-8479
Publisher:
Springer BerlinCopyright Statement
Country of Publication:
United States
Language:
English

References (29)

Precision calculation of 1/4-BPS Wilson loops in AdS5×S5 journal February 2016
Exact results for Wilson loops in superconformal Chern-Simons theories with matter journal March 2010
Toward precision holography with supersymmetric Wilson loops journal April 2016
The spectrum of excitations of holographic Wilson loops journal May 2011
Exact results in ABJM theory from topological strings journal June 2010
More about one-loop effective action of open superstring in AdS5 × S5 journal September 2012
Instanton corrections of 1/6 BPS Wilson loops in ABJM theory journal September 2016
ABJM Wilson loops in arbitrary representations journal October 2013
Exact results for ABJ Wilson loops and open-closed duality journal October 2016
Macroscopic strings as heavy quarks: Large-N gauge theory and anti-de Sitter supergravity journal November 2001
A semiclassical string description of Wilson loop with local operators journal July 2008
Supersymmetric Wilson loops in super-Chern–Simons-matter theory journal January 2010
One-loop structure of higher rank Wilson loops in AdS/CFT journal January 2015
Stringy corrections to the Wilson loop in Script N = 4 super Yang-Mills theory journal August 1999
Green-Schwarz string in AdS 5 × S 5 : semiclassical partition function journal March 2000
Matrix model as a mirror of Chern-Simons theory journal February 2004
Large N Duality, Lens Spaces and the Chern-Simons Matrix Model journal April 2004
All-genus calculation of Wilson loops using D-branes journal February 2005
Wilson loops of anti-symmetric representation and D5-branes journal May 2006
Higher rank Wilson loops from a matrix model journal August 2006
Holographic Wilson loops journal August 2006
Wilson loops as D 3-branes journal January 2007
Matching the circular Wilson loop with dual open string solution at 1-loop in strong coupling journal May 2008
𝒩 = 6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals journal October 2008
Wilson loops in 3-dimensional 𝒩 = 6 supersymmetric Chern-Simons theory and their string theory duals journal November 2008
Wilson loops in superconformal Chern-Simons theory and fundamental strings in Anti-de Sitter supergravity dual journal March 2009
The spectral curve of the lens space matrix model journal November 2009
Wilson Loops in Large N Field Theories journal June 1998
Aharony–Bergman–Jafferis–Maldacena Wilson Loops in the Fermi Gas Approach journal February 2013

Cited By (3)

Comments on higher rank Wilson loops in N $$ \mathcal{N} $$ = 2∗ journal January 2018
Toward precision holography in type IIA with Wilson loops journal August 2018
A matrix model for the latitude Wilson loop in ABJM theory journal August 2018

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