scholarly journals Corrigendum to “Investigating convergence of the reaction γp→π±Δ and tensor meson a2 exchange at high energy” [Phys. Lett. B 769 (2017) 262–266]

2017 ◽  
Vol 772 ◽  
pp. 877
Author(s):  
Byung-Geel Yu ◽  
Kook-Jin Kong
Keyword(s):  
High Energy Phys ◽  
High Energy ◽  
Tensor Meson

scholarly journals CHARACTER EXPANSION FOR HOMFLY POLYNOMIALS III: ALL 3-STRAND BRAIDS IN THE FIRST SYMMETRIC REPRESENTATION

2012 ◽  
Vol 27 (19) ◽  
pp. 1250099 ◽  
Author(s):  
H. ITOYAMA ◽  
A. MIRONOV ◽  
A. MOROZOV ◽  
AND. MOROZOV
Keyword(s):  
General Formula ◽  
High Energy Phys ◽  
High Energy ◽  
Reflection Symmetry ◽  
Symmetric Representation ◽  
Knot Invariants ◽  
Time Variables ◽  
Close Relatives ◽  
Figure Eight Knot ◽  
Homfly Polynomials

We continue the program of systematic study of extended HOMFLY polynomials, suggested in [A. Mironov, A. Morozov and And. Morozov, arXiv:1112.5754] and [A. Mironov, A. Morozov and And. Morozov, J. High Energy Phys. 03, 034 (2012), arXiv:1112.2654]. Extended polynomials depend on infinitely many time-variables, are close relatives of integrable τ-functions, and depend on the choice of the braid representation of the knot. They possess natural character decompositions, with coefficients which can be defined by exhaustively general formula for any particular number m of strands in the braid and any particular representation R of the Lie algebra GL(∞). Being restricted to "the topological locus" in the space of time-variables, the extended HOMFLY polynomials reproduce the ordinary knot invariants. We derive such a general formula, for m = 3, when the braid is parametrized by a sequence of integers (a1, b1, a2, b2, …) and for the first nonfundamental representation R = [2]. Instead of calculating the mixing matrices directly, as suggested [A. Mironov, A. Morozov and And. Morozov, J. High Energy Phys. 03, 034 (2012), arXiv:1112.2654], we deduce them from comparison with the known answers for torus and composite knots. A simple reflection symmetry converts the answer for the symmetric representation [2] into that for the antisymmetric one [1, 1]. The result applies, in particular, to the figure eight knot 41, and was further extended to superpolynomials in arbitrary symmetric and antisymmetric representations in H. Itoyama, A. Mironov, A. Morozov and And. Morozov, arXiv:1203.5978.

scholarly journals EXACT S-MATRICES FOR AdS3/CFT2

2013 ◽  
Vol 28 (32) ◽  
pp. 1350168 ◽  
Author(s):  
CHANGRIM AHN ◽  
DIEGO BOMBARDELLI
Keyword(s):  
Bethe Ansatz ◽  
High Energy Phys ◽  
High Energy ◽  
Field Theories ◽  
Two Dimensional ◽  
Conformal Field Theories ◽  
Conformal Field

We propose exact S-matrices for the AdS 3/ CFT 2 duality between type IIB strings on AdS 3×S3×M4 with M4 = S3×S1 or T4 and the corresponding two-dimensional conformal field theories. We fix the two-particle S-matrices on the basis of the symmetries su(1|1) and su(1|1)×su(1|1). A crucial justification comes from the derivation of the all-loop Bethe ansatz matching exactly the recent conjecture proposed by Babichenko et al. [J. High Energy Phys.1003, 058 (2010), arXiv:0912.1723 [hep-th]] and Ohlsson Sax and Stefanski, Jr. [J. High Energy Phys.1108, 029 (2011), arXiv:1106.2558 [hep-th]].

STRANGE METALS AND HOLOGRAPHIC ENTANGLEMENT ENTROPY

2013 ◽  
Vol 28 (03n04) ◽  
pp. 1340004 ◽  
Author(s):  
TADASHI TAKAYANAGI
Keyword(s):  
Fermi Surface ◽  
High Energy Phys ◽  
Classical Limit ◽  
Entanglement Entropy ◽  
High Energy ◽  
Fermi Liquids ◽  
Surface Physics ◽  
Holographic Entanglement Entropy ◽  
Gravity Duals

In this paper, we will explain an application of holographic entanglement entropy to Fermi surface physics. These holographic arguments show that Landau–Fermi liquids do not have any gravity duals in the purely classical limit [N. Ogawa, T. Takayanagi and T. Ugajin, J. High Energy Phys.125, 1 (2012), arXiv:1111.1023 [hep-th]].

scholarly journals Harmonic Analysis in d-Dimensional Superconformal Field Theory

2021 ◽  
Author(s):  
Ilija Burić ◽  
Keyword(s):  
Field Theory ◽  
Harmonic Analysis ◽  
High Energy Phys ◽  
High Energy ◽  
Superconformal Field Theory ◽  
Crossing Symmetry ◽  
Finite Sums

Superconformal blocks and crossing symmetry equations are among central ingredients in any superconformal field theory. We review the approach to these objects rooted in harmonic analysis on the superconformal group that was put forward in [J. High Energy Phys. 2020 (2020), no. 1, 159, 40 pages, arXiv:1904.04852] and [J. High Energy Phys. 2020 (2020), no. 10, 147, 44 pages, arXiv:2005.13547]. After lifting conformal four-point functions to functions on the superconformal group, we explain how to obtain compact expressions for crossing constraints and Casimir equations. The later allow to write superconformal blocks as finite sums of spinning bosonic blocks.

scholarly journals Non-compact superconformal field theory and mock modular forms

2020 ◽  
Vol 2020 (11) ◽  
Author(s):  
Yuji Sugawara
Keyword(s):  
Field Theory ◽  
High Energy Phys ◽  
Modular Forms ◽  
High Energy ◽  
Field Theories ◽  
Two Dimensional ◽  
Superconformal Field Theories ◽  
Superconformal Field Theory ◽  
Mock Modular Forms ◽  
Mathematical Literature

Abstract One of interesting issues in two-dimensional superconformal field theories is the existence of anomalous modular transformation properties appearing in some non-compact superconformal models, corresponding to the “mock modularity” in mathematical literature. I review a series of my studies on this issue in collaboration with T. Eguchi, mainly focusing on T. Eguchi and Y. Sugawara, J. High Energy Phys. 1103, 107 (2011); J. High Energy Phys. 1411, 156 (2014); and Prog. Theor. Exp. Phys. 2016, 063B02 (2016).

scholarly journals The q-linked complex Minkowski space, its real forms and deformed isometry groups

2019 ◽  
Vol 16 (01) ◽  
pp. 1950009
Author(s):  
R. Fioresi ◽  
E. Latini ◽  
A. Marrani
Keyword(s):  
Minkowski Space ◽  
High Energy Phys ◽  
Orthogonal Group ◽  
Isometry Group ◽  
High Energy ◽  
Quantum Deformation ◽  
Isometry Groups ◽  
Lorentzian Metric ◽  
General Deformation ◽  
Real Forms

We establish duality between real forms of the quantum deformation of the four-dimensional orthogonal group studied by Fioresi et al. [Quantum Klein space and superspace, preprint (2017), arXiv:1705.01755] and the classification work made by Borowiec et al. [Basic quantizations of [Formula: see text] Euclidean, Lorentz, Kleinian and quaternionic [Formula: see text] symmetries, J. High Energy Phys. 1711 (2017) 187]. Classically, these real forms are the isometry groups of [Formula: see text] equipped with Euclidean, Kleinian or Lorentzian metric. A general deformation, named [Formula: see text]-linked, of each of these spaces is then constructed, together with the coaction of the corresponding isometry group.

scholarly journals Testing a new method for scattering in finite volume in the $$\phi ^4$$ theory

2021 ◽  
Vol 81 (11) ◽  
Author(s):  
Marco Garofalo ◽  
Fernando Romero-López ◽  
Akaki Rusetsky ◽  
Carsten Urbach
Keyword(s):  
High Energy Phys ◽  
Finite Volume ◽  
Scattering Length ◽  
High Energy ◽  
New Method ◽  
Link Type ◽  
Alternative Proposal

AbstractWe test an alternative proposal by Bruno and Hansen (J High Energy Phys 2021(6), 10.1007/JHEP06(2021)043, 2021) to extract the scattering length from lattice simulations in a finite volume. For this, we use a scalar $$\phi ^4$$ ϕ 4 theory with two mass nondegenerate particles and explore various strategies to implement this new method. We find that the results are comparable to those obtained from the Lüscher method, with somewhat smaller statistical uncertainties at larger volumes.

scholarly journals Evaluating the six-point remainder function near the collinear limit

2014 ◽  
Vol 29 (27) ◽  
pp. 1450154 ◽  
Author(s):  
Georgios Papathanasiou
Keyword(s):  
Scattering Amplitudes ◽  
High Energy Phys ◽  
Bound State ◽  
High Energy ◽  
Recent Proposal ◽  
Computational Tools ◽  
Yang Mills ◽  
Remainder Function ◽  
Leading Term ◽  
Collinear Limit

The simplicity of maximally supersymmetric Yang–Mills theory makes it an ideal theoretical laboratory for developing computational tools, which eventually find their way to QCD applications. In this contribution, we continue the investigation of a recent proposal by Basso, Sever and Vieira, for the nonperturbative description of its planar scattering amplitudes, as an expansion around collinear kinematics. The method of G. Papathanasiou, J. High Energy Phys.1311, 150 (2013), arXiv:1310.5735, for computing the integrals the latter proposal predicts for the leading term in the expansion of the six-point remainder function, is extended to one of the subleading terms. In particular, we focus on the contribution of the two-gluon bound state in the dual flux tube picture, proving its general form at any order in the coupling, and providing explicit expressions up to six loops. These are included in the ancillary file accompanying the version of this paper on the arXiv.

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