Built on

A. Pomarol, O. Pujolas and L. Salas, Holographic conformal transition and light scalars , JHEP 10
Original
1905
Earlier work this paper cites.
A. Pittelli and M. Preti, Integrable Fishnet from γ \gamma -Deformed 𝒩 = 2 \mathcal{N}=2 Quivers , Phys. Lett. B798
Original
1906
Earlier work this paper cites.
B. Ihrig, N. Zerf, P. Marquard, I. F. Herbut and M. M. Scherer, Abelian Higgs model at four loops, fixed-point collision and deconfined criticality , Phys. Rev. B100
Original
1907
Earlier work this paper cites.
F. Benini, C. Iossa and M. Serone, Conformality Loss, Walking, and 4D Complex Conformal Field Theories at Weak Coupling , Phys. Rev. Lett. 124
Original
1908
Earlier work this paper cites.
V. L. Berezinsky, Destruction of long range order in one-dimensional and two-dimensional systems having a continuous symmetry group. I. Classical systems , Sov. Phys. JETP 32
1971
Earlier work this paper cites.
J. M. Kosterlitz and D. J. Thouless, Ordering, metastability and phase transitions in two-dimensional systems , J. Phys. C6
1973
Earlier work this paper cites.
B. I. Halperin, T. C. Lubensky and S.-k. Ma, First order phase transitions in superconductors and smectic A liquid crystals , Phys. Rev. Lett. 32
1974
Earlier work this paper cites.
B. Nienhuis, A. N. Berker, E. K. Riedel and M. Schick, First and Second Order Phase Transitions in Potts Models: Renormalization - Group Solution , Phys. Rev. Lett. 43
1979
Earlier work this paper cites.
M. Nauenberg and D. J. Scalapino, Singularities and Scaling Functions at the Potts Model Multicritical Point , Phys. Rev. Lett. 44
1980
Earlier work this paper cites.
V. A. Miransky, Dynamics of Spontaneous Chiral Symmetry Breaking and Continuum Limit in Quantum Electrodynamics , Nuovo Cim. A90
1985
Earlier work this paper cites.
T. Appelquist, D. Nash and L. C. R. Wijewardhana, Critical Behavior in (2+1)-Dimensional QED , Phys. Rev. Lett. 60
1988
Earlier work this paper cites.
J. M. Maldacena, Wilson loops in large N field theories , Phys. Rev. Lett. 80
1998
Earlier work this paper cites.
S.-J. Rey, S. Theisen and J.-T. Yee, Wilson-Polyakov loop at finite temperature in large N gauge theory and anti-de Sitter supergravity , Nucl. Phys. B527
1998
Earlier work this paper cites.
D. Z. Freedman, S. S. Gubser, K. Pilch and N. P. Warner, Renormalization group flows from holography supersymmetry and a c theorem , Adv. Theor. Math. Phys. 3
1999
Earlier work this paper cites.

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Then

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Later among the works it cites.
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Later among the works it cites.
L. Fei, S. Giombi, I. R. Klebanov and G. Tarnopolsky, Three loop analysis of the critical O(N) models in 6- ϵ \epsilon dimensions , Phys. Rev. D91
Original
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2019

Holographic Complex Conformal Field Theories

Faedo, Anton F., Hoyos, Carlos, Mateos, David et al.

Understand

The loss of criticality in the form of weak first-order transitions or the end of the conformal window in gauge theories can be described as the merging of two fixed points that move to complex values of the couplings.

When the complex fixed points are close to the real axis, the system typically exhibits walking behavior with Miransky (or Berezinsky-Kosterlitz-Thouless) scaling.
We present a novel realization of these phenomena at strong coupling by means of the gauge/gravity duality, and give evidence for the conjectured existence of complex conformal field theories at the fixed points.

Built on

A. Pomarol, O. Pujolas and L. Salas, Holographic conformal transition and light scalars , JHEP 10
Original
1905
Earlier work this paper cites.
A. Pittelli and M. Preti, Integrable Fishnet from γ \gamma -Deformed 𝒩 = 2 \mathcal{N}=2 Quivers , Phys. Lett. B798
Original
1906
Earlier work this paper cites.
B. Ihrig, N. Zerf, P. Marquard, I. F. Herbut and M. M. Scherer, Abelian Higgs model at four loops, fixed-point collision and deconfined criticality , Phys. Rev. B100
Original
1907
Earlier work this paper cites.
F. Benini, C. Iossa and M. Serone, Conformality Loss, Walking, and 4D Complex Conformal Field Theories at Weak Coupling , Phys. Rev. Lett. 124
Original
1908
Earlier work this paper cites.
V. L. Berezinsky, Destruction of long range order in one-dimensional and two-dimensional systems having a continuous symmetry group. I. Classical systems , Sov. Phys. JETP 32
1971
Earlier work this paper cites.
J. M. Kosterlitz and D. J. Thouless, Ordering, metastability and phase transitions in two-dimensional systems , J. Phys. C6
1973
Earlier work this paper cites.
B. I. Halperin, T. C. Lubensky and S.-k. Ma, First order phase transitions in superconductors and smectic A liquid crystals , Phys. Rev. Lett. 32
1974
Earlier work this paper cites.
B. Nienhuis, A. N. Berker, E. K. Riedel and M. Schick, First and Second Order Phase Transitions in Potts Models: Renormalization - Group Solution , Phys. Rev. Lett. 43
1979
Earlier work this paper cites.
M. Nauenberg and D. J. Scalapino, Singularities and Scaling Functions at the Potts Model Multicritical Point , Phys. Rev. Lett. 44
1980
Earlier work this paper cites.
V. A. Miransky, Dynamics of Spontaneous Chiral Symmetry Breaking and Continuum Limit in Quantum Electrodynamics , Nuovo Cim. A90
1985
Earlier work this paper cites.
T. Appelquist, D. Nash and L. C. R. Wijewardhana, Critical Behavior in (2+1)-Dimensional QED , Phys. Rev. Lett. 60
1988
Earlier work this paper cites.
J. M. Maldacena, Wilson loops in large N field theories , Phys. Rev. Lett. 80
1998
Earlier work this paper cites.
S.-J. Rey, S. Theisen and J.-T. Yee, Wilson-Polyakov loop at finite temperature in large N gauge theory and anti-de Sitter supergravity , Nucl. Phys. B527
1998
Earlier work this paper cites.
D. Z. Freedman, S. S. Gubser, K. Pilch and N. P. Warner, Renormalization group flows from holography supersymmetry and a c theorem , Adv. Theor. Math. Phys. 3
1999
Earlier work this paper cites.

Similar

D. Anselmi, L. Girardello, M. Porrati and A. Zaffaroni, A Note on the holographic beta and C functions , Phys. Lett. B481
2000
Cited alongside, same era.
K.-i. Kubota and H. Terao, Dynamical symmetry breaking in QED(3) from the Wilson RG point of view , Prog. Theor. Phys. 105
2001
Cited alongside, same era.
T. Senthil, A. Vishwanath, L. Balents, S. Sachdev and M. P. A. Fisher, Deconfined Quantum Critical Points , Science 303
2004
Cited alongside, same era.
K. Kaveh and I. F. Herbut, Chiral symmetry breaking in QED(3) in presence of irrelevant interactions: A Renormalization group study , Phys. Rev. B71
2005
Cited alongside, same era.
H. Gies and J. Jaeckel, Chiral phase structure of QCD with many flavors , Eur. Phys. J. C46
2006
Cited alongside, same era.