Semiclassical relativistic strings in S 5 and long coherent operators in = 4 SYM theory
By M. Kruczenski, A. Tseytlin. 2004
174 citations recorded by the source corpus.
We consider the low energy effective action corresponding to the 1-loop, planar, dilatation operator in the scalar sector of = 4 SU(N) SYM theory. For a general class of non-holomorphic ``long'' operators, of bare dimension L >> 1, it is a sigma model action with 8-dimensional target space and agrees with a limit of the phase-space string sigma model action describing generic fast-moving strings in the S 5 part of AdS 5 × S 5 . The limit of the string action is taken in a way that allows for a systematic expansion to higher orders in the effective coupling = λ/L 2. This extends previous work on rigid rotating strings in S 5 (dual to operators in the SU(3) sector of the dilatation operator) to the case when string oscillations or pulsations in S 5 are allowed. We establish a map between the profile of the leading order string solution and the structure of the corresponding coherent, ``locally BPS'', SYM scalar operator. As an application, we explicitly determine the form of the non-holomorphic operators dual to the pulsating strings. Using action-angle variables, we also directly compute the energy of pulsating solutions, simplifying previous treatments.
Subfields: Astronomy and Astrophysics, Mathematical Physics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/330f3ab969457a35dfd21a7afc92304b6e76780e
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Citations in the corpus
- Spinning strings in AdS5 × S5: one-loop correction to energy in SL(2) sector (2005, methodology): “The comparison of the reduced sigma model appearing in the “fast string” limit of the string action to the coherentstate (“Landau-Lifshitz”) action on the ferromagnetic spin chain side provided a simple and universal way of matching the string and gauge theory semiclassical states as well as near-by”
- Integrable Hamiltonian for Classical Strings on AdS5 x S5 (2004, background): “This gauge condition is similar to the uniform gauge used in [19] which is related to the static gauge by a 2d duality transformation [20].”
- Gauge-string duality for superconformal deformations of N=4 super Yang-Mills theory (2005, methodology): “We, therefore, expect that in this case the frequencies of the fluctuation modes near the circular solution of section 4.1 or (4.19) should follow from the results of [27] for β = 0 theory by shifting the winding number m by 1 2 βdJ E (1) 1 = λ 2J2 (m+ 1 2 βdJ) 2 + λ 2J2 ∞∑ n=1 [ n √ n2 − 4(m+ 1 2…”
- Semiclassical Strings and AdS/CFT (2004, methodology): “An equivalent approach [ 57 ] leading to the same action (2.5) is based on first applying a 2-d duality (or “T-duality”) transformation α → ˜ and then choosing the “static” gauge t = τ, ˜ α = 1 √ ˜ λ σ with”
- The AdS5xS5 Superstring in Light-Cone Gauge and its Bethe Equations (2006, background): “In the main text we present the logic and the flow in the construction and uniform light-cone gauge fixing of the superstring on AdS5 × S5.”
- Uniform Light-Cone Gauge for Strings in AdS5 x S5: Solving su(1|1) Sector (2005, background): “We have further removed all unphysical degrees of freedom by fixing the so-called uniform gauge [29, 30]: The world-sheet time τ was identified with the global AdS time t, while the momentum of an angle variable φ of S(5) was declared to be equal to the Noether charge J corresponding to translations”
- Spiky strings and single trace operators in gauge theories (2004, background): “This idea was extended to other sectors including fermions and open strings in [18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28] and to two loops in [29].”