Notes on Euclidean Wilson loops and Riemann Theta functions

D. Mumford, (with the collaboration of C. Musili, M. Nort,E. Previato and M. Stillman), “Tata Lectures in Theta I & II”, Modern Birkhäuser Classics, Birkhäuser, Boston (2007), John D. Fay, “Theta Functions on Riemann Surfaces”, Lectures Notes in Mathematics 352

1973

Earlier work this paper cites.

K. Pohlmeyer, “Integral Hamiltonian systems and interactions through quadratic constraints,” Commun. Math. Phys. 46, 207 (1976)

1976

Earlier work this paper cites.

H. M. Farkas and I. Kra, “Riemann Surfaces”, Graduate Texts in Mathematics, Second Edition, Springer-Verlag, New, Berlin, Heidelberg (1991)

1991

Earlier work this paper cites.

M. Babich and A. Bobenko, “Willmore Tori with umbilic lines and minimal surfaces in hyperbolic space”, Duke Mathematical Journal 72, No. 1

1993

Earlier work this paper cites.

E. D. Belokolos, A. I. Bobenko,V. Z. Enol’skii, A. R. Its, V. B. Matveev, “Algebro-Geometric Approach to Nonlinear Integrable Equations,” Springer-Verlag series in Non-linear Dynamics, Springer-Verlag Berlin Heidelberg NewYork (1994)

1994

Earlier work this paper cites.

J. Maldacena, “The large N N limit of superconformal field theories and supergravity,” Adv. Theor. Math. Phys. 2

1998

Earlier work this paper cites.

N. Drukker, D. J. Gross and H. Ooguri, “Wilson loops and minimal surfaces,” Phys. Rev. D 60

1999

Earlier work this paper cites.

J. M. Maldacena, “Wilson loops in large N field theories,” Phys. Rev. Lett. 80

2001

Earlier work this paper cites.

D. E. Berenstein, R. Corrado, W. Fischler and J. M. Maldacena, “The Operator product expansion for Wilson loops and surfaces in the large N limit,” Phys. Rev. D 59

Original

2001

Cited alongside, same era.

M. Kruczenski, “A note on twist two operators in N = 4 SYM and Wilson loops in Minkowski signature,” JHEP 0212

2002

Cited alongside, same era.

K. Zarembo, “Supersymmetric Wilson loops,” Nucl. Phys. B 643

2002

Cited alongside, same era.

M. Kruczenski, “Spin chains and string theory,” Phys. Rev. Lett. 93

2004

Cited alongside, same era.

M. Kruczenski, “Spiky strings and single trace operators in gauge theories,” JHEP 0508

2005

Cited alongside, same era.

N. Drukker and B. Fiol, “On the integrability of Wilson loops in AdS(5) x S**5: Some periodic ansatze,” JHEP 0601

N. Drukker, S. Giombi, R. Ricci and D. Trancanelli, “Supersymmetric Wilson loops on S**3,” JHEP 0805

Original

2008

Later among the works it cites.

M. Kruczenski and A. Tirziu, “Matching the circular Wilson loop with dual open string solution at 1-loop in strong coupling,” JHEP 0805

Original

2008

Later among the works it cites.

L. F. Alday and J. Maldacena, “Null polygonal Wilson loops and minimal surfaces in Anti-de-Sitter space,” JHEP 0911

Original

2009

Later among the works it cites.

A. Jevicki and K. Jin, “Moduli Dynamics of AdS(3) Strings,” JHEP 0906

Original

2009

Later among the works it cites.

See e.g. J. Maldacena and A. Zhiboedov, “Form factors at strong coupling via a Y-system,” JHEP 1011