AdS4/CFT3 at one loop

By Chethan Krishnan. 2008

139 citations recorded by the source corpus.

I consider semi-classical type IIA strings rotating in the AdS4 part of AdS4 × 3. The one loop sigma model corrections to this classical solution are used to compute the energy shift, and the result is found to be E−S = f(λ)ln S with f(λ) = (2λ)1/2−(5ln 2/2π)+(1/λ)1/2). Even though the functional forms match, the actual numerical value of this one loop string result differs from the result obtained on the integrable = 6 Chern-Simons (ABJM) theory side.

Subfields: Geometry and Topology, Mathematical Physics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/21473386af1753f6f5ff6a37a8a97057f5ac2ade

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Citations in the corpus

Fractional M2-branes (2008, background): “It would be interesting to analyze these theories in the ’t Hooft limit (large N and k with fixed N/k) and to see if integrability (on the field theory or string theory sides of the duality [9,10]) may be used to learn about various properties of these theories.”
Three-dimensional N=6 SCFT's and their membrane dynamics (2008, background): “4 Semiclassical strings and one-loop corrections to their energies were discussed in [24] and [25, 26].”
Quantum spinning strings in AdS_4 x CP^3: testing the Bethe Ansatz proposal (2008, methodology): “Our aim here will be to provide a resolution to the apparent contradiction between the world-sheet [15, 16, 17] and the Bethe Ansatz [8, 20] calculations while staying within a natural and consistent world-sheet regularization scheme.”
Semiclassical quantization of spinning strings in AdS4 × ℂℙ3 (2008, background): “We were also informed about [28] where the same result for the one-loop energy shift was obtained.”