1.

Large $q$ expansion in the SachdevYeKitaev model
/ Tarnopolsky, Grigory
We consider the SachdevYeKitaev (SYK) model, where interaction involves $q$ fermions at a time. [...]
Published in Physical Review D 99 (2019)
10.1103/PhysRevD.99.026010
arXiv:1801.06871
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2.

Spectrum of Majorana Quantum Mechanics with $O(4{)}^{3}$ Symmetry
/ Pakrouski, Kiryl ; Klebanov, Igor R. ; Popov, Fedor ; Tarnopolsky, Grigory
We study the quantum mechanics of threeindex Majorana fermions ${\psi}^{abc}$ governed by a quartic Hamiltonian with $O(N{)}^{3}$ symmetry. [...]
Published in Physical Review Letters 122 (2019)
10.1103/PhysRevLett.122.011601
arXiv:1808.07455
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3.

Prismatic large $N$ models for bosonic tensors
/ Giombi, Simone ; Klebanov, Igor R. ; Popov, Fedor ; Prakash, Shiroman ; et al
We study the $O(N{)}^{3}$ symmetric quantum field theory of a bosonic tensor ${\varphi}^{abc}$ with sextic interactions. [...]
Published in Physical Review D 98 (2018)
10.1103/PhysRevD.98.105005
arXiv:1808.04344
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4.

Spectra of eigenstates in fermionic tensor quantum mechanics
/ Klebanov, Igor R. ; Milekhin, Alexey ; Popov, Fedor ; Tarnopolsky, Grigory
We study the $O\left({N}_{1}\right)\times O\left({N}_{2}\right)\times O\left({N}_{3}\right)$ symmetric quantum mechanics of 3index Majorana fermions. [...]
Published in Physical Review D 97 (2018)
10.1103/PhysRevD.97.106023
arXiv:1802.10263
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5.

Spectra of operators in large $N$ tensor models
/ Bulycheva, Ksenia ; Klebanov, Igor R. ; Milekhin, Alexey ; Tarnopolsky, Grigory
We study the operators in the large $N$ tensor models, focusing mostly on the fermionic quantum mechanics with $O(N{)}^{3}$ symmetry which may be either global or gauged. [...]
Published in Phys. Rev. D 97 (2018)
10.1103/PhysRevD.97.026016
arXiv:1707.09347
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6.

On large N limit of symmetric traceless tensor models
/ Klebanov, Igor ; Tarnopolsky, Grigory
For some theories where the degrees of freedom are tensors of rank 3 or higher, there exist solvable large N limits dominated by the melonic diagrams. [...]
Published in JHEP 1710 (2017) 037
10.1007/JHEP10(2017)037
arXiv:1706.00839
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7.

Yukawa conformal field theories and emergent supersymmetry
/ Fei, Lin ; Giombi, Simone ; Klebanov, Igor R. ; Tarnopolsky, Grigory
We study conformal field theories (CFTs) with Yukawa interactions in dimensions between 2 and 4; they provide UV completions of the NambuJonaLasinio and GrossNeveu models which have fourfermion interactions. [...]
Published in PTEP 2016 (2016) 12C105
10.1093/ptep/ptw120
arXiv:1607.05316
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8.

On C J and C T in conformal QED
/ Giombi, Simone ; Tarnopolsky, Grigory ; Klebanov, Igor
QED with a large number N of massless fermionic degrees of freedom has a conformal phase in a range of spacetime dimensions. [...]
Published in JHEP 1608 (2016) 156
10.1007/JHEP08(2016)156
arXiv:1602.01076
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9.

Vacuum decay in CFT and the Riemann–Hilbert problem
/ Pimentel, Guilherme L. ; Polyakov, Alexander M. ; Tarnopolsky, Grigory M.
We study vacuum stability in 1+1 dimensional Conformal Field Theories with external background fields. [...]
Published in Nuclear Physics B (2016)
10.1016/j.nuclphysb.2016.03.039
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10.

Generalized F theorem and the ϵ expansion
/ Fei, Lin ; Giombi, Simone ; Klebanov, Igor ; Tarnopolsky, Grigory
Some known constraints on Renormalization Group flow take the form of inequalities: in even dimensions they refer to the coefficient a of the Weyl anomaly, while in odd dimensions to the sphere free energy F . [...]
Published in JHEP 1512 (2015) 155
10.1007/JHEP12(2015)155
arXiv:1507.01960
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