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20122026
most citedQuantum Spectral Curve and the Numerical Solution of the Spectral Problem in AdS5/CFT4

93 citations · 588 across the 20 of their papers we have counts for

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hep-th2018★ 29 cited

BFKL Spectrum of N=4 SYM: non-Zero Conformal Spin

Mikhail Alfimov, Nikolay Gromov, Grigory Sizov

We developed a general non-perturbative framework for the BFKL spectrum of planar N=4 SYM, based on the Quantum Spectral Curve (QSC). It allows one to study the spectrum in the who…

hep-th2017★ 84 cited

Integrability of Conformal Fishnet Theory

Nikolay Gromov, Vladimir Kazakov, Gregory Korchemsky +2

We study integrability of fishnet-type Feynman graphs arising in planar four-dimensional bi-scalar chiral theory recently proposed in arXiv:1512.06704 as a special double scaling l…

hep-th2016★ 63 cited

New Construction of Eigenstates and Separation of Variables for SU(N) Quantum Spin Chains

Nikolay Gromov, Fedor Levkovich-Maslyuk, Grigory Sizov

We conjecture a new way to construct eigenstates of integrable XXX quantum spin chains with SU(N) symmetry. The states are built by repeatedly acting on the vacuum with a single op…

hep-th2015★ 87 cited

NNLO BFKL Pomeron eigenvalue in N=4 SYM

Nikolay Gromov, Fedor Levkovich-Maslyuk, Grigory Sizov

We obtain an analytical expression for the Next-to-Next-to-Leading order of the Balitsky-Fadin-Kuraev-Lipatov (BFKL) Pomeron eigenvalue in planar SYM N=4 using Quantum Spectral Cur…

hep-th2015★ 93 cited

Quantum Spectral Curve and the Numerical Solution of the Spectral Problem in AdS5/CFT4

Nikolay Gromov, Fedor Levkovich-Maslyuk, Grigory Sizov

We developed an efficient numerical algorithm for computing the spectrum of anomalous dimensions of the planar Super-Yang--Mills at finite coupling. The method is base…

hep-th2014★ 83 cited

Exact Slope and Interpolating Functions in ABJM Theory

Nikolay Gromov, Grigory Sizov

Using the Quantum Spectral Curve approach we compute exactly an observable (called slope function) in the planar ABJM theory in terms of an unknown interpolating function h(λ) whic…

hep-th2014★ 61 cited

Quantum Spectral Curve at Work: From Small Spin to Strong Coupling in N=4 SYM

Nikolay Gromov, Fedor Levkovich-Maslyuk, Grigory Sizov +1

We apply the recently proposed quantum spectral curve technique to the study of twist operators in planar N=4 SYM theory. We focus on the small spin expansion of anomalous dimensio…

hep-th2013★ 15 cited

Algebraic Curve for a Cusped Wilson Line

Grigory Sizov, Saulius Valatka

We consider the classical limit of the recently obtained exact result for the anomalous dimension of a cusped Wilson line with the insertion of an operator with L units of R-charge…

hep-th2013★ 63 cited

Analytic Solution of Bremsstrahlung TBA II: Turning on the Sphere Angle

Nikolay Gromov, Fedor Levkovich-Maslyuk, Grigory Sizov

We find an exact analytical solution of the Y-system describing a cusped Wilson line in the planar limit of N=4 SYM. Our explicit solution describes anomalous dimensions of this fa…

hep-th2013★ 6 cited

CSW-like Expansion for Einstein Gravity

Brenda Penante, Sayeh Rajabi, Grigory Sizov

Using the recent formula presented by He and Cachazo-Mason-Skinner for the link representation of tree-level N=8 supergravity amplitudes, we derived a CSW-like expansion for the Ne…

hep-th2012★ 1 cited

Parity Symmetry and Soft Limit for the Cachazo-Geyer Gravity Amplitude

Brenda Penante, Sayeh Rajabi, Grigory Sizov

In this note, we prove that the recent proposal for the tree-level n-particle N=8 supergravity amplitudes by Cachazo and Geyer satisfies parity symmetry and soft limit behavior exp…