The Hagedorn - deconfinement phase transition in weakly coupled large N gauge theories

By O. Aharony, J. Marsano, Shiraz Minwalla, K. Papadodimas, Mark Van Raamsdonk. 2004

636 citations recorded by the source corpus.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/408faca7de6011a0b9036c297ad93878025315b1

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In Astronomy and Astrophysics

1. M. Rangamani
2. T. Takayanagi
3. V. Hubeny
4. D. Harlow
5. S. Raju
6. T. Nishioka
7. J. Maldacena
8. S. Sachdev

In Nuclear and High Energy Physics

1. T. Takayanagi
2. M. Rangamani
3. J. Maldacena
4. D. Harlow
5. V. Hubeny
6. S. Raju
7. F. Benini
8. T. Nishioka

Citations in the corpus

• Diagonal multi-matrix correlators and BPS operators in N=4 SYM (2007, background): “This formula is discussed in [10] for the finite N case (developing the large N results of [11, 12]), where the Clebsch-multiplicities appear in properties of symmetric polynomials, from the free field partition function.”
• Holographic entanglement entropy: an overview (2009, methodology): “From the viewpoint of the AdS/CFT correspondence, there should be a corresponding phase transition in dual CFT on S(3) [116], and actually there exists a confinement/deconfinement phase transition in it [127, 128].”
• Holographic Quantum Matter (2016, background): “The original and simplest case of such a transition occurs if the boundary is considered on a spatial sphere rather than a plane [17; 362; 737; 738].”
• Jerusalem Lectures on Black Holes and Quantum Information (2014, background): “We saw already in the previous section that in 1 + 1 dimensions this can be checked explicitly, and in higher dimensions the CFT interpretation of this transition is still fairly well understood [114, 115].”
• Polyakov loop modeling for hot QCD (2017, background): “[91] shows that this transition is associated with non-zero expectation values of the higher order Polyakov loops, defined as tr(L) with n > 1.”
• Localization on Hopf surfaces (2014, methodology): “Following a similar discussion in [32], we will now explain how to use the residual gauge freedom to extract the correct integration measure of the matrix model.”
• Indices for superconformal field theories in 3, 5 and 6 dimensions (2008, background): “In terms of these quantities, the index of the full theory is given by[26, 27]”
• AdS bubbles, entropy and closed string tachyons (2006, neutral): “It is also similar to the free Yang-Mills analysis [60][61] of the deconfinement phase transition [36].”
• Chern–Simons theory with vector fermion matter (2011, background): “The exact partition function on S(2) × S(1) is given by [41,40]”
• Exact results for Wilson loops in superconformal Chern-Simons theories with matter (2009, methodology): “The gauge sector localization term is: δV = Tr′ ( 1 2 FµνFµν +DµσD µσ + (D + σ)2 + iλ†γµ∇µλ+ i[λ†, σ]λ− 1 2 λ†λ ) (A.1) while the matter sector term is: δVm = ( ∂µφ †∂µφ+ ivµφ†∂µφ+ φ †σo 2φ+ 1 4 φ†φ+ F †F + ψ† ( i∇/ − iσo + ( 1 + v/ 2 )) ψ ) (A.2) A.1 Gauge Sector Calculation We have (ignoring the t”
• On type IIA Penrose limit and = 6 Chern-Simons theories (2008, background): “We must be careful in taking k infinity since a naive treatment spoils the Gauss’ law constraint [59].”
• 5-dim superconformal index with enhanced En global symmetry (2012, background): “In the second line, we factor out the divergent constant which is independent of chemical potentials and set it to unity [28].”
• Aspects of Holographic Entanglement Entropy (2006, background): “This means that the behavior of the entanglement entropy is rather different before and after the cofiniment/de-confinement transition when we consider the N = 4 super Yang-Mills on R×S(3) (see [71] and references therein for recent studies of this phase transition).”
• Holographic local quenches and entanglement density (2013, result): “4) This is qualitatively consistent with the well-known Hagedron growth of degeneracy of the states with a large conformal dimension ∆ >> 1 [25, 38].”
• Higher spin gauge theory and holography: the three-point functions (2009, background): “On the other hand, a weakly coupled large N gauge theory is expected to be dual to a weakly coupled string theory in AdS space of small radius compared to the string length scale (see for instance [5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15]).”