Built on

S. Sachdev, Universal low temperature theory of charged black holes with AdS 2 horizons , J. Math. Phys. 60
Original
1902
Earlier work this paper cites.
J. Kim, I. R. Klebanov, G. Tarnopolsky and W. Zhao, Symmetry Breaking in Coupled SYK or Tensor Models , Phys. Rev. X9
Original
1902
Earlier work this paper cites.
U. Moitra, S. K. Sake, S. P. Trivedi and V. Vishal, Jackiw-Teitelboim Gravity and Rotating Black Holes , 1905.10378
Original
1905
Earlier work this paper cites.
A. A. Patel and S. Sachdev, Theory of a Planckian metal , Phys. Rev. Lett. 123
Original
1906
Earlier work this paper cites.
D. Anninos, D. M. Hofman and J. Kruthoff, Charged Quantum Fields in AdS 2 , SciPost Phys. 7
Original
1906
Earlier work this paper cites.
A. Altland, D. Bagrets and A. Kamenev, SYK non Fermi Liquid Correlations in Nanoscopic Quantum Transport , 1908.11351
Original
1908
Earlier work this paper cites.
S. Giombi and I. R. Klebanov, Interpolating between a a and F F , JHEP 03
Original
1937
Earlier work this paper cites.
J. M. Luttinger and J. C. Ward, Ground-State Energy of a Many-Fermion System. II , Phys. Rev. 118
1960
Earlier work this paper cites.
L. Pukánszky, The Plancherel formula for the universal covering group of SL ⁡ ( R , 2 ) {\rm SL}(R,\,2) , Math. Ann. 156
1964
Earlier work this paper cites.
K. Symanzik, On Calculations in conformal invariant field theories , Lett. Nuovo Cim. 3
1972
Earlier work this paper cites.
S. Sachdev and J. Ye, Gapless spin fluid ground state in a random, quantum Heisenberg magnet , Phys. Rev. Lett. 70
1993
Earlier work this paper cites.
O. Parcollet, A. Georges, G. Kotliar and A. Sengupta, Overscreened multichannel SU(N) Kondo model: Large-N solution and conformal field theory , Phys. Rev. B 58
1998
Earlier work this paper cites.
B. L. Altshuler, A. V. Chubukov, A. Dashevskii, A. M. Finkel’stein and D. K. Morr, Luttinger theorem for a spin-density-wave state , EPL (Europhysics Letters) 41
1998
Earlier work this paper cites.
A. Chamblin, R. Emparan, C. V. Johnson and R. C. Myers, Charged AdS black holes and catastrophic holography , Phys. Rev. D 60
1999
Earlier work this paper cites.
A. Georges, O. Parcollet and S. Sachdev, Mean Field Theory of a Quantum Heisenberg Spin Glass , Phys. Rev. Lett. 85
2000
Earlier work this paper cites.
M. Ciuchini, S. E. Derkachov, J. A. Gracey and A. N. Manashov, Computation of quark mass anomalous dimension at O ⁡ ( 1 / N f 2 ) O(1/N_{f}^{2}) in quantum chromodynamics , Nucl. Phys. B579
2000
Earlier work this paper cites.
A. Georges, O. Parcollet and S. Sachdev, Quantum fluctuations of a nearly critical Heisenberg spin glass , Phys. Rev. B 63
2001
Earlier work this paper cites.
S. S. Gubser and I. Mitra, Double trace operators and one loop vacuum energy in AdS/CFT , Phys. Rev. D 67
2003
Earlier work this paper cites.

Similar

S. S. Gubser and I. R. Klebanov, A Universal result on central charges in the presence of double trace deformations , Nucl. Phys. B656
2003
Cited alongside, same era.
A. Dabholkar, Exact counting of black hole microstates , Phys. Rev. Lett. 94
2005
Cited alongside, same era.
A. Sen, Black hole entropy function and the attractor mechanism in higher derivative gravity , JHEP 0509
2005
Cited alongside, same era.
A. Kitaev, Anyons in an exactly solved model and beyond , Annals of Physics 321
2006
Cited alongside, same era.
D. E. Diaz and H. Dorn, Partition functions and double-trace deformations in AdS/CFT , JHEP 05
2007
Cited alongside, same era.
A. Sen, Entropy Function and AdS(2) / CFT(1) Correspondence , JHEP 0811

Then

W. Fu and S. Sachdev, Numerical study of fermion and boson models with infinite-range random interactions , Phys. Rev. B94
Original
2016
Later among the works it cites.
D. Bagrets, A. Altland and A. Kamenev, Sachdev-Ye-Kitaev model as Liouville quantum mechanics , Nucl. Phys. B 911
Original
2016
Later among the works it cites.
R. A. Davison, W. Fu, A. Georges, Y. Gu, K. Jensen and S. Sachdev, Thermoelectric transport in disordered metals without quasiparticles: The Sachdev-Ye-Kitaev models and holography , Phys. Rev. B 95
Original
2017
Later among the works it cites.
W. Fu, D. Gaiotto, J. Maldacena and S. Sachdev, Supersymmetric Sachdev-Ye-Kitaev models , Phys. Rev. D 95
Original
2017
Later among the works it cites.
J. S. Cotler, G. Gur-Ari, M. Hanada, J. Polchinski, P. Saad, S. H. Shenker et al., Black Holes and Random Matrices , JHEP 05

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2019

Notes on the complex Sachdev-Ye-Kitaev model

Gu, Yingfei, Kitaev, Alexei, Sachdev, Subir et al.

Understand

We describe numerous properties of the Sachdev-Ye-Kitaev model for complex fermions with $N\gg 1$ flavors and a global U(1) charge.

We provide a general definition of the charge in the $(G,\Sigma)$ formalism, and compute its universal relation to the infrared asymmetry of the Green function.
The same relation is obtained by a renormalization theory.
The conserved charge contributes a compact scalar field to the effective action, from which we derive the many-body density of states and extract the charge compressibility.

Built on

S. Sachdev, Universal low temperature theory of charged black holes with AdS 2 horizons , J. Math. Phys. 60
Original
1902
Earlier work this paper cites.
J. Kim, I. R. Klebanov, G. Tarnopolsky and W. Zhao, Symmetry Breaking in Coupled SYK or Tensor Models , Phys. Rev. X9
Original
1902
Earlier work this paper cites.
U. Moitra, S. K. Sake, S. P. Trivedi and V. Vishal, Jackiw-Teitelboim Gravity and Rotating Black Holes , 1905.10378
Original
1905
Earlier work this paper cites.
A. A. Patel and S. Sachdev, Theory of a Planckian metal , Phys. Rev. Lett. 123
Original
1906
Earlier work this paper cites.
D. Anninos, D. M. Hofman and J. Kruthoff, Charged Quantum Fields in AdS 2 , SciPost Phys. 7
Original
1906
Earlier work this paper cites.
A. Altland, D. Bagrets and A. Kamenev, SYK non Fermi Liquid Correlations in Nanoscopic Quantum Transport , 1908.11351
Original
1908
Earlier work this paper cites.
S. Giombi and I. R. Klebanov, Interpolating between a a and F F , JHEP 03
Original
1937
Earlier work this paper cites.
J. M. Luttinger and J. C. Ward, Ground-State Energy of a Many-Fermion System. II , Phys. Rev. 118
1960
Earlier work this paper cites.
L. Pukánszky, The Plancherel formula for the universal covering group of SL ⁡ ( R , 2 ) {\rm SL}(R,\,2) , Math. Ann. 156
1964
Earlier work this paper cites.
K. Symanzik, On Calculations in conformal invariant field theories , Lett. Nuovo Cim. 3
1972
Earlier work this paper cites.
S. Sachdev and J. Ye, Gapless spin fluid ground state in a random, quantum Heisenberg magnet , Phys. Rev. Lett. 70
1993
Earlier work this paper cites.
O. Parcollet, A. Georges, G. Kotliar and A. Sengupta, Overscreened multichannel SU(N) Kondo model: Large-N solution and conformal field theory , Phys. Rev. B 58
1998
Earlier work this paper cites.
B. L. Altshuler, A. V. Chubukov, A. Dashevskii, A. M. Finkel’stein and D. K. Morr, Luttinger theorem for a spin-density-wave state , EPL (Europhysics Letters) 41
1998
Earlier work this paper cites.
A. Chamblin, R. Emparan, C. V. Johnson and R. C. Myers, Charged AdS black holes and catastrophic holography , Phys. Rev. D 60
1999
Earlier work this paper cites.
A. Georges, O. Parcollet and S. Sachdev, Mean Field Theory of a Quantum Heisenberg Spin Glass , Phys. Rev. Lett. 85
2000
Earlier work this paper cites.
M. Ciuchini, S. E. Derkachov, J. A. Gracey and A. N. Manashov, Computation of quark mass anomalous dimension at O ⁡ ( 1 / N f 2 ) O(1/N_{f}^{2}) in quantum chromodynamics , Nucl. Phys. B579
2000
Earlier work this paper cites.
A. Georges, O. Parcollet and S. Sachdev, Quantum fluctuations of a nearly critical Heisenberg spin glass , Phys. Rev. B 63
2001
Earlier work this paper cites.
S. S. Gubser and I. Mitra, Double trace operators and one loop vacuum energy in AdS/CFT , Phys. Rev. D 67
2003
Earlier work this paper cites.

Similar

S. S. Gubser and I. R. Klebanov, A Universal result on central charges in the presence of double trace deformations , Nucl. Phys. B656
2003
Cited alongside, same era.
A. Dabholkar, Exact counting of black hole microstates , Phys. Rev. Lett. 94
2005
Cited alongside, same era.
A. Sen, Black hole entropy function and the attractor mechanism in higher derivative gravity , JHEP 0509
2005
Cited alongside, same era.
A. Kitaev, Anyons in an exactly solved model and beyond , Annals of Physics 321
2006
Cited alongside, same era.
D. E. Diaz and H. Dorn, Partition functions and double-trace deformations in AdS/CFT , JHEP 05
2007
Cited alongside, same era.
A. Sen, Entropy Function and AdS(2) / CFT(1) Correspondence , JHEP 0811

Then

W. Fu and S. Sachdev, Numerical study of fermion and boson models with infinite-range random interactions , Phys. Rev. B94
Original
2016
Later among the works it cites.
D. Bagrets, A. Altland and A. Kamenev, Sachdev-Ye-Kitaev model as Liouville quantum mechanics , Nucl. Phys. B 911
Original
2016
Later among the works it cites.
R. A. Davison, W. Fu, A. Georges, Y. Gu, K. Jensen and S. Sachdev, Thermoelectric transport in disordered metals without quasiparticles: The Sachdev-Ye-Kitaev models and holography , Phys. Rev. B 95
Original
2017
Later among the works it cites.
W. Fu, D. Gaiotto, J. Maldacena and S. Sachdev, Supersymmetric Sachdev-Ye-Kitaev models , Phys. Rev. D 95
Original
2017
Later among the works it cites.
J. S. Cotler, G. Gur-Ari, M. Hanada, J. Polchinski, P. Saad, S. H. Shenker et al., Black Holes and Random Matrices , JHEP 05

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

Original

2008

Cited alongside, same era.

S. Sachdev, Holographic metals and the fractionalized Fermi liquid , Phys. Rev. Lett. 105

Original

2010

Cited alongside, same era.

T. Faulkner, H. Liu, J. McGreevy and D. Vegh, Emergent quantum criticality, Fermi surfaces, and AdS 2 , Phys. Rev. D 83

Original

2011

Cited alongside, same era.

N. Iqbal, H. Liu and M. Mezei, Lectures on holographic non-Fermi liquids and quantum phase transitions , in TASI 2010. String Theory and Its Applications: From meV to the Planck Scale , pp. 707–816, 2011, 1110.3814 , DOI

Original

2011

Cited alongside, same era.

S. Giombi, I. R. Klebanov, S. S. Pufu, B. R. Safdi and G. Tarnopolsky, AdS Description of Induced Higher-Spin Gauge Theory , JHEP 10

Original

2013

Cited alongside, same era.

A. Kitaev, “A simple model of quantum holography.” Talks at KITP http://online.kitp.ucsb.edu/online/entangled15/kitaev/ and http://online.kitp.ucsb.edu/online/entangled15/kitaev2/ , April and May, 2015

2015

Cited alongside, same era.

S. Sachdev, Bekenstein-Hawking Entropy and Strange Metals , Phys. Rev. X 5

Original

2015

Cited alongside, same era.

Original

2017

Later among the works it cites.

A. M. Garcia-Garcia and J. J. M. Verbaarschot, Analytical Spectral Density of the Sachdev-Ye-Kitaev Model at finite N , Phys. Rev. D96

Original

2017