GAUGE FIELDS AND SPACE-TIME

By A. Polyakov. 2001

230 citations recorded by the source corpus.

In this article I attempt to collect some ideas, opinions and formulae which may be useful in solving the problem of gauge/string/space-time correspondence. This includes the validity of D-brane representation, counting of gauge-invariant words, relations between the null states and the Yang-Mills equations and the discussion of the strong coupling limit of the string sigma model. The article is based on the talk given at the "Odyssey 2001" conference.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/a95b8125a94a260f29596e82381105979e99ff9f

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In Astronomy and Astrophysics

1. A. Tseytlin
2. S. Frolov
3. N. Beisert
4. J. Maldacena
5. K. Zarembo
6. M. Staudacher
7. T. Takayanagi
8. John McGreevy

In Nuclear and High Energy Physics

1. A. Tseytlin
2. N. Beisert
3. S. Frolov
4. J. Maldacena
5. G. Arutyunov
6. M. Staudacher
7. M. Kruczenski
8. K. Zarembo

Citations in the corpus

• Emergent spacetime and holographic CFTs (2011, background): “Such factorization implies that the spectrum of the theory should enjoy a particularly simple form and at weak coupling we can compute the spectrum explicitly [29], [30], [31].”
• From Sasaki-Einstein spaces to quivers via BPS geodesics: Lp,q|r (2005, background): “Now, as argued by Martelli and Sparks in [19] the covariantly constant holomorphic 3-form follows as Ω[3] = √ f(x)g(y) eR r(3) η1 ∧ η2 ∧ η3 (2.”
• Open Strings from N=4 Super Yang-Mills (2002, result): “These results explicitly realize the long-standing goal of showing that Yang-Mills theories with many colours have a description in terms of closed string theories [4].”
• AdS dual of the critical O(N) vector model (2002, background): “After the AdS/CFT correspondence was formulated, new ideas emerged on the manifestation of the infinite number of conservation laws that appear in the weakly coupled field theory [11, 12, 13, 14, 15, 16, 17, 18, 19].”
• D-brane Decay in Two-Dimensional String Theory (2003, background): “The importance of the localized D-branes of [36] was emphasized and the question of their matrix model description was raised in [37].”
• Stringing Spins and Spinning Strings (2003, background): “1) even for large values of λ [4].”
• Strings from Tachyons (2003, methodology): “As pointed out in [17], this implies that their worldline description reduces to a matrix model.”
• A semi-classical limit of the gauge/string correspondence (2002, background): “Our work is largely inspired by the recent important observation that, if the bare dimension of an operator becomes large simultaneously with λ, then the standard rule that the anomalous dimension blows up as λ may be violated [7, 8].”
• Semiclassical Strings and AdS/CFT (2004, background): “To check the duality one would like also to understand how strings “emerge” from the field theory, in particular, which (local, singletrace) gauge theory operators [5] correspond to which “excited” string states and how one may verify the matching of their dimensions/energies beyond the well-underst”
• Semiclassical relativistic strings in S 5 and long coherent operators in = 4 SYM theory (2004, background): “It remained unclear, however, how strings “emerge” from the field theory, in particular, which (local, single-trace) gauge theory operators [3] should correspond to which “excited” string states and how one may verify the matching of their dimensions/energies beyond the well-understood BPS/supergrav”
• Baryon Spectra and AdS/CFT Correspondence (2002, background): “If we depart from the limit of infinite ‘t Hooft coupling, then all the non-chiral operators no longer decouple, so that the spectrum of the gauge theory becomes much more complicated and presumably related to type IIB string theory on AdS5 × S(5) (see, for example, [4]).”
• Operator bases, S-matrices, and their partition functions (2017, background): “The use of plethysm and the character generating function Z(φ, q, x) provides a simple interpretation of expressions of the free-field partition function Z(q) found in [62, 63] and related works.”
• Liouville Field Theory — A decade after the revolution (2004, background): “As is emphasized in [80], [69], [81], the (unstable) D0-branes in the Liouville theory is the holographic dual of the Liouville theory itself.”
• Semiclassical quantization of rotating superstring in AdS(5) x S**5 (2002, background): “It was recently suggested [1,2,3] that looking at special sectors of states in the full string spectrum where certain quantum numbers are large may allow one to check the AdS/CFT correspondence beyond the supergravity level.”
• Classical and quantum D-branes in 2D string theory (2003, background): “Secondly, one would normally expect [27][28][3] that the eigenvalues should correspond to the point- or particle-like D-brane states [17].”