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Conversion of truncated Airy waves (AWs) carried by the second-harmonic (SH) component into axisymmetric $\chi^{2}$ solitons is considered in the 2D system with the quadratic nonlinearity. The spontaneous conversion is driven by the…

Pattern Formation and Solitons · Physics 2016-06-29 Thawatchai Mayteevarunyoo , Boris A. Malomed

The Celestial Holography program encompasses recent efforts to understand the flat space hologram in terms of a CFT living on the celestial sphere. A key development instigating these efforts came from understanding how soft limits of…

High Energy Physics - Theory · Physics 2023-11-07 Sabrina Pasterski

We study the soft limits of cosmological correlators from a holographic perspective, showing how the inflationary consistency relations arise from the diffeomorphism invariance of the dual quantum field theory. Starting from the…

High Energy Physics - Theory · Physics 2015-02-17 Paul McFadden

We derive positivity bounds for scattering amplitudes of particles with arbitrary spin using unitarity, analyticity and crossing symmetry. The bounds imply the positivity of certain low-energy coefficients of the effective action that…

High Energy Physics - Theory · Physics 2017-03-08 Brando Bellazzini

Gauge theories and perturbative gravity in four dimensions are governed by a tower of infinite-dimensional symmetries which arise from tree-level soft theorems. However, aside from the leading soft theorems which are all-loop exact,…

High Energy Physics - Theory · Physics 2024-12-24 Sangmin Choi , Alok Laddha , Andrea Puhm

The quantum theory of conductivity of semiconductor objects, to which the quantum wells, wires and dots concern, is constructed. Average values of current and charge densities, induced by a weak electromagnetic field, are calculated. It is…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 I. G. Lang , L. I. Korovin , J. A. de la Cruz Alcaz , S. T. Pavlov

The scattering of charged solitons in the complex sine-Gordon field theory is investigated. An exact factorizable S-matrix for the theory is proposed when the renormalized coupling constant takes the values $\lambda^{2}_{R}=4\pi/k$ for any…

High Energy Physics - Theory · Physics 2010-11-01 Nicholas Dorey , Timothy J. Hollwood

Celestial amplitudes may be decomposed as weighted integrals of AdS$_3$-Witten diagrams associated to each leaf of a hyperbolic foliation of spacetime. We show, for the Kleinian three-point MHV amplitude, that each leaf subamplitude is…

High Energy Physics - Theory · Physics 2024-08-26 Walker Melton , Atul Sharma , Andrew Strominger

It is shown that the infinite tower of tree-level soft graviton symmetries in asymptotically flat 4D quantum gravity can be organized into a single chiral 2D Kac-Moody symmetry based on the wedge algebra of w(1+infinity). The infinite…

High Energy Physics - Theory · Physics 2021-11-09 Andrew Strominger

Loop corrections in QED and gravity have recently been conjectured to give rise to an infinite tower of logarithmic soft theorems governing the universal low-energy behavior of photons and gravitons. We explore the implications of this…

High Energy Physics - Theory · Physics 2026-01-16 Sangmin Choi , Ameya Kadhe , Andrea Puhm

In this letter we show that the soft behaviour of photons and graviton amplitudes, after projection, can be determined to infinite order in soft expansion via ordinary on-shell gauge invariance. In particular, as one of the particle's…

High Energy Physics - Theory · Physics 2018-08-15 Zhi-Zhong Li , Hung-Hwa Lin , Shun-Qing Zhang

Recent attempts at the construction of holography for asymptotically flat spacetimes have taken two different routes. Celestial holography, involving a two dimensional (2d) CFT dual to 4d Minkowski spacetime, has generated novel results in…

High Energy Physics - Theory · Physics 2022-06-29 Arjun Bagchi , Shamik Banerjee , Rudranil Basu , Sudipta Dutta

Noether's 2nd theorem applied to a total system states that a global symmetry which is a part of local symmetries does not provide a physically meaningful conserved charge but it instead leads to off-shell constraints as a form of conserved…

High Energy Physics - Theory · Physics 2023-01-06 Sinya Aoki

We construct "soft-collinear gravity", the effective field theory which describes the interaction of collinear and soft gravitons with matter (and themselves), to all orders in the soft-collinear power expansion. Despite the absence of…

High Energy Physics - Phenomenology · Physics 2022-04-14 Martin Beneke , Patrick Hager , Robert Szafron

It is demonstrated that the non-instantaneous response of the optically induced coherent polarization tremendously influences the real-space shift of electronic charges in semiconductors. The possibility to coherently control this…

Optics · Physics 2013-06-14 Shekhar Priyadarshi , Klaus Pierz , Mark Bieler

We utilize the deformed light-cone formalism to investigate the Carrollian version of a complex vector field theory. We find that after applying the null-reduction procedure and the Carrollian limit $c\rightarrow 0$, the "-" null-direction…

High Energy Physics - Theory · Physics 2026-03-10 Limin Zeng

What is the boundary holographic dual of S-duality for gauge theories in asymptotically flat space-times? Celestial amplitudes, by virtue of exhibiting holographic properties of the S-matrix, appear well-suited for studying this question.…

High Energy Physics - Theory · Physics 2024-08-26 Tristan McLoughlin , Nathan Moynihan , Andrea Puhm

The energy density of the universe today may be dominated by the vacuum energy of a slowly rolling scalar field. Making a quantum expansion around such a time dependent solution is found to break fundamental symmetries of quantum field…

High Energy Physics - Phenomenology · Physics 2008-11-26 Pankaj Jain , Subhadip Mitra

The scattering matrix approach to phase-coherent transport is generalized to nonlinear ac-transport. In photon-assisted electron transport it is often only the dc-component of the current that is of experimental interest. But ac-currents at…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Morten Holm Pedersen , Markus Buttiker

The four-dimensional (4D) Lorentz group $SL(2,\mathbb{C})$ acts as the two-dimensional (2D) global conformal group on the celestial sphere at infinity where asymptotic 4D scattering states are specified. Consequent similarities of 4D flat…

High Energy Physics - Theory · Physics 2017-10-04 Sabrina Pasterski , Shu-Heng Shao , Andrew Strominger
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