Author
Sergei Gukov
Other affiliations: University of Southern California, University of California, Santa Barbara, Princeton University ...read more
Bio: Sergei Gukov is an academic researcher from California Institute of Technology. The author has contributed to research in topics: Gauge theory & Supersymmetry. The author has an hindex of 69, co-authored 204 publications receiving 15241 citations. Previous affiliations of Sergei Gukov include University of Southern California & University of California, Santa Barbara.
Topics: Gauge theory, Supersymmetry, Moduli space, Knot theory, String theory
Papers published on a yearly basis
Papers
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TL;DR: In this article, the authors consider F/M/Type IIA theory compactified to four, three, or two dimensions on a Calabi-Yau fourfold, and study the behavior near an isolated singularity in the presence of appropriate fluxes and branes.
1,516 citations
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TL;DR: In this paper, the role of extended objects in Liouville theory, including surface operators and line operators, has been investigated under the assumption of a duality between four dimensional N = 2 GAs.
Abstract: Recently, a duality between Liouville theory and four dimensional N = 2 gauge theory has been uncovered by some of the authors. We consider the role of extended objects in gauge theory, surface operators and line operators, under this correspondence. We map such objects to specific operators in Liouville theory. We employ this connection to compute the expectation value of general supersymmetric ’t Hooft-Wilson line operators in a variety of N = 2 gauge theories.
550 citations
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TL;DR: In this article, a dictionary between geometry of triangulated 3-manifolds and physics of three-dimensional N=2 gauge theories is proposed, which can be seen as a way of describing boundary conditions and duality walls in four-dimensional SCFTs.
Abstract: We propose a dictionary between geometry of triangulated 3-manifolds and physics of three-dimensional N=2 gauge theories. Under this duality, standard operations on triangulated 3-manifolds and various invariants thereof (classical as well as quantum) find a natural interpretation in field theory. For example, independence of the SL(2) Chern-Simons partition function on the choice of triangulation translates to a statement that S^3_b partition functions of two mirror 3d N=2 gauge theories are equal. Three-dimensional N=2 field theories associated to 3-manifolds can be thought of as theories that describe boundary conditions and duality walls in four-dimensional N=2 SCFTs, thus making the whole construction functorial with respect to cobordisms and gluing.
526 citations
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TL;DR: In this paper, the relation between vortex counting in two-dimensional supersymmetric field theories and the refined BPS invariants of the dual geometries was studied, which can also be mapped to the computation of degenerate conformal blocks in 2-dimensional CFTs.
Abstract: To every 3-manifold M one can associate a two-dimensional N=(2,2) supersymmetric field theory by compactifying five-dimensional N=2 super-Yang–Mills theory on M. This system naturally appears in the study of half-BPS surface operators in four-dimensional N=2 gauge theories on one hand, and in the geometric approach to knot homologies, on the other. We study the relation between vortex counting in such two-dimensional N=(2,2) supersymmetric field theories and the refined BPS invariants of the dual geometries. In certain cases, this counting can also be mapped to the computation of degenerate conformal blocks in two-dimensional CFT’s. Degenerate limits of vertex operators
in CFT receive a simple interpretation via geometric transitions in BPS counting.
402 citations
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TL;DR: In this paper, the authors identify a large class R of three-dimensional N = 2 superconformal field theories, which includes the effective theories T_M of M5-branes wrapped on 3-manifolds.
Abstract: We identify a large class R of three-dimensional N = 2 superconformal
field theories. This class includes the effective theories T_M of M5-branes
wrapped on 3-manifolds M, discussed in previous work by the authors,
and more generally comprises theories that admit a UV description as
abelian Chern–Simons-matter theories with (possibly non-perturbative)
superpotential. Mathematically, class R might be viewed as an extreme
quantum generalization of the Bloch group; in particular, the equivalence
relation among theories in class R is a quantum-field-theoretic “2 to 3
move.” We proceed to study the supersymmetric index of theories in
class R, uncovering its physical and mathematical properties, including
relations to algebras of line operators and to 4d indices. For 3-manifold
theories T_M, the index is a new topological invariant, which turns out to
be equivalent to non-holomorphic SL(2,ℂ) Chern–Simons theory on M
with a previously unexplored “integration cycle.”
386 citations
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TL;DR: There is, I think, something ethereal about i —the square root of minus one, which seems an odd beast at that time—an intruder hovering on the edge of reality.
Abstract: There is, I think, something ethereal about i —the square root of minus one. I remember first hearing about it at school. It seemed an odd beast at that time—an intruder hovering on the edge of reality.
Usually familiarity dulls this sense of the bizarre, but in the case of i it was the reverse: over the years the sense of its surreal nature intensified. It seemed that it was impossible to write mathematics that described the real world in …
33,785 citations
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TL;DR: In this paper, a sedimentological core and petrographic characterisation of samples from eleven boreholes from the Lower Carboniferous of Bowland Basin (Northwest England) is presented.
Abstract: Deposits of clastic carbonate-dominated (calciclastic) sedimentary slope systems in the rock record have been identified mostly as linearly-consistent carbonate apron deposits, even though most ancient clastic carbonate slope deposits fit the submarine fan systems better. Calciclastic submarine fans are consequently rarely described and are poorly understood. Subsequently, very little is known especially in mud-dominated calciclastic submarine fan systems. Presented in this study are a sedimentological core and petrographic characterisation of samples from eleven boreholes from the Lower Carboniferous of Bowland Basin (Northwest England) that reveals a >250 m thick calciturbidite complex deposited in a calciclastic submarine fan setting. Seven facies are recognised from core and thin section characterisation and are grouped into three carbonate turbidite sequences. They include: 1) Calciturbidites, comprising mostly of highto low-density, wavy-laminated bioclast-rich facies; 2) low-density densite mudstones which are characterised by planar laminated and unlaminated muddominated facies; and 3) Calcidebrites which are muddy or hyper-concentrated debrisflow deposits occurring as poorly-sorted, chaotic, mud-supported floatstones. These
9,929 citations
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TL;DR: In this paper, the holographic correspondence between field theories and string/M theory is discussed, focusing on the relation between compactifications of string theory on anti-de Sitter spaces and conformal field theories.
5,610 citations
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TL;DR: In this article, the authors show that the hierarchy of scales can be fixed by a choice of Ramond-Ramond and Neveu-Schwarz fluxes in the compact manifold, and give examples involving orientifold compactifications of type IIB string theory and F-theory compactifications on Calabi-Yau fourfolds.
Abstract: Warped compactifications with significant warping provide one of the few known mechanisms for naturally generating large hierarchies of physical scales. We demonstrate that this mechanism is realizable in string theory, and give examples involving orientifold compactifications of type-IIB string theory and F-theory compactifications on Calabi-Yau fourfolds. In each case, the hierarchy of scales is fixed by a choice of Ramond-Ramond and Neveu-Schwarz fluxes in the compact manifold. Our solutions involve compactifications of the Klebanov-Strassler gravity dual to a confining $\mathcal{N}=1$ supersymmetric gauge theory, and the hierarchy reflects the small scale of chiral symmetry breaking in the dual gauge theory.
2,548 citations