Supersymmetric Wilson loops

By K. Zarembo. 2002

275 citations recorded by the source corpus.

Abstract I construct 1/16,1/8 and 1/4 BPS Wilson loops in N =4 supersymmetric Yang–Mills theory and argue that expectation values of 1/4 BPS loops do not receive quantum corrections. At strong coupling, non-renormalization of supersymmetric Wilson loops implies subtle cancellations in the partition function of the AdS string with special boundary conditions. The cancellations are shown to occur in the semiclassical approximation.

Subfields: Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/08eb31d4fcb475ae4bec9efc990cda5a7cbb2be6

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Nuclear and High Energy Physics

1. N. Drukker
2. J. Maldacena
3. Marcos Mariño
4. E. Witten
5. A. Tseytlin
6. R. Roiban
7. Pavel Putrov
8. S. Giombi

In Statistical and Nonlinear Physics

1. Marcos Mariño
2. N. Drukker
3. J. Maldacena
4. E. Witten
5. Pavel Putrov
6. Joaquim Gomis
7. S. Giombi
8. Sergei Gukov

Citations in the corpus

• The quark anti-quark potential and the cusp anomalous dimension from a TBA equation (2012, background): “In fact, for θ = ±φ we continue to have a BPS configuration [19] and the cusp anomalous dimension continues to vanish.”
• 1/4 BPS circular loops, unstable world-sheet instantons and the matrix model (2006, background): “For cos θ0 = 0 Zarembo’s solution [7] has three zero modes parameterizing an S3 with measure dΩ3 = 1 2π2 dα sin2 α dΩ2 , (4.4) where the range of α is [0, π] and Ω2 is the measure on an S 2 that remains unbroken for nonzero cos θ0.”
• Half-BPS Wilson loop and AdS2/CFT1 (2017, background): “For generic contour and scalar couplings, these operators are only locally supersymmetric, but special choices of x and θ lead to Wilson loops preserving various fractions of the superconformal symmetry of the N = 4 SYM theory [3,4].”
• Supersymmetric Wilson loops on S**3. (2007, methodology): “Let us just comment that these loops are a natural generalization of the latitudes on the Hopf base, in the same way that the 1/4 BPS latitude generalized the Q-invariant loops of [34].”
• From Weak to Strong Coupling in ABJM Theory (2010, background): “A possible trick to derive it was proposed in [48] by considering a 1/4 BPS generalization of the circular Wilson loop, where three zero modes of the the Wilson loop of [49] are explicitly broken and the integral over them gives this factor.”
• Fivebranes and Knots (2011, background): “N = 4 super Yang-Mills theory in four dimensions admits 1/16-BPS Wilson loop operators [71].”
• Loop operators and S-duality from curves on Riemann surfaces (2009, background): “In theories with extended N = 2 supersymmetry the vector multiplet includes a complex scalar φ and we can take the real field Re [φ] (see [13]).”
• Wilson loops in superconformal Chern-Simons theory and fundamental strings in Anti-de Sitter supergravity dual (2008, methodology): “As in [25, 26], we take the ansatz that MI is aτ-independent, constant tensor.”
• Generalized quark-antiquark potential at weak and strong coupling (2011, background): “The case of interest in [16] was when E = ±J , which turns up to imply φ = ±θ and the string configuration preserves eight supercharges [26].”
• Electric-Magnetic Duality And The Geometric Langlands Program (2006, background): “The topological line operators that we consider are most similar to the 1/16 BPS line operators defined in [88] for any loop S ⊂ R.”
• Small deformations of supersymmetric Wilson loops and open spin-chains (2006, methodology): “We compare the spectrum in the limit of large angular momentum both in the dilute gas approximation and the thermodynamic limit to the relevant string solution in the BMN limit and in the full AdS5 × S5 metric and find agreement.”
• More supersymmetric Wilson loops (2007, methodology): “This is an operator of the class constructed in [4] and has trivial expectation value.”
• Holographic Wilson loops (2006, result): “Previous studies of supersymmetry of Wilson loops in N = 4 SYM include [31][32][33].”
• Integrable Wilson loops (2012, background): “A modification of this expression applies also in expanding Γcusp around the BPS configurations φ = ±θ [9].”