Green-Schwarz string in AdS5 × S5: semiclassical partition function

By N. Drukker, D. Gross, A. Tseytlin. 2000

285 citations recorded by the source corpus.

A systematic approach to the study of semiclassical fluctuations of strings in AdS5 ? S5 based on the Green-Schwarz formalism is developed. We show that the string partition function is well defined and finite. Issues related to different gauge choices are clarified. We consider explicitly several cases of classical string solutions with the world surface ending on a line, on a circle or on two lines on the boundary of AdS. The first example is a BPS object and the partition function is one. In the third example the determinants we derive should give the first corrections to the Wilson loop expectation value in the strong coupling expansion of the = 4 SYM theory at large N.

Subfields: Geometry and Topology, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/3ecb78bad01dd161cea84b1ee2e80d4ad5a59bfd

How researchers see this paper

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

In Geometry and Topology

1. A. Tseytlin
2. S. Frolov
3. G. Arutyunov
4. N. Drukker
5. Pavel Putrov
6. J. Maldacena
7. R. Roiban
8. S. Giombi

In Nuclear and High Energy Physics

1. A. Tseytlin
2. S. Frolov
3. G. Arutyunov
4. R. Roiban
5. N. Drukker
6. J. Maldacena
7. L. Alday
8. N. Beisert

Citations in the corpus

• From Weak to Strong Coupling in ABJM Theory (2010, background): “Direct calculations of the determinant [46,47] were not conclusive.”
• Superstring action in AdS(5) x S**5. Kappa symmetry light cone gauge (2000, methodology): “Some advances in this direction with application to “long” strings ending at the boundary of AdS5 were discussed in [6, 7, 8].”
• Half-BPS Wilson loop and AdS2/CFT1 (2017, methodology): “4)) expanded near the 1/2 BPS straight line minimal surface should be describing a globally supersymmetric field theory [17] for the OSp(4∗|4) multiplet of 8+8 bosons and fermions in AdS2.”
• Gauge/String Duality, Hot QCD and Heavy Ion Collisions (2011, background): “More precisely, at the one-loop level in the α′-expansion one finds that the determinants for quadratic fluctuations are different in the two cases [376].”
• All-genus calculation of Wilson loops using D-branes (2005, methodology): “can also be calculated from the string solution by using world-sheet techniques, but while the prescription for performing calculation is straight-forward, the calculation itself is pretty hard [30].”
• Comments on gluon scattering amplitudes via AdS/CFT (2007, background): “More precisely, at the one loop level in the α′ expansion we find that the determinants for quadratic fluctuations are different in the two cases [24].”
• Generalized quark-antiquark potential at weak and strong coupling (2011, methodology): “Similarly to what happens in [8, 37], these extra terms cancel out in the fermionic action (C.”
• Scale invariance of the η-deformed AdS5 × S5 superstring, T-duality and modified type II equations (2015, background): “The GS sigma model action expanded in powers of fermions may be written as (see, e.g., [14, 8] 32 Previous studies of the UV finiteness conditions of the GS string [10, 11] did not include R-R couplings, but special cases of AdS 5 × S 5 [37] and pp-wave backgrounds [38] were explicitly discussed.”