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Related papers: Ghost story. II. The midpoint ghost vertex

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The present letter considers the quantization method developed in [1]-[9], which postulates that, in several situations, negative norm or ghost states can be avoided in order to give positive probabilities. These authors also postulate a…

High Energy Physics - Theory · Physics 2025-06-06 O. P. Santillán

We study free massive fermionic ghosts, in the presence of an extended line of impurities, relying on the Lagrangian formalism. We propose two distinct defect interactions, respectively, of relevant and marginal nature. The corresponding…

High Energy Physics - Theory · Physics 2010-12-01 Paola Mosconi

We show that the strong self-interaction of the scalar polarization of a massive graviton can be understood in terms of the propagation of an extra ghost-like degree of freedom, thus relating strong coupling to the sixth degree of freedom…

General Relativity and Quantum Cosmology · Physics 2009-10-07 Cedric Deffayet , Jan-Willem Rombouts

The BRST invariance condition in a highest-weight representation of the topological ($\equiv$ twisted $N=2$) algebra captures the `invariant' content of two-dimensional gravity coupled to matter. The standard DDK formulation is recovered by…

High Energy Physics - Theory · Physics 2011-04-20 B. Gato-Rivera , A. M. Semikhatov

We study ghost distributions on supersymmetric spaces for the case of basic classical Lie superalgebras. We introduce the notion of interlaced pairs, which are those for which both $(\mathfrak{g},\mathfrak{k})$ and…

Representation Theory · Mathematics 2023-07-14 Alexander Sherman

The Dvali-Gabadadze-Porrati brane-world model provides a possible approach to address the late-time cosmic acceleration. However, it has subsequently been pointed out that a ghost instability will arise on the self-accelerating branch.…

High Energy Physics - Theory · Physics 2019-02-13 Yen-Wei Liu , Keisuke Izumi , Mariam Bouhmadi-Lopez , Pisin Chen

We describe solutions of asymptotically AdS$_3$ Einstein gravity that are sourced by the insertion of operators in the boundary CFT$_2$, whose dimension scales with the central charge of the theory. Previously, we found that the geometry…

High Energy Physics - Theory · Physics 2023-07-26 Jacob Abajian , Francesco Aprile , Robert C. Myers , Pedro Vieira

We revisit ghost dark matter, the possibility that ghost condensation may serve as an alternative to dark matter. In particular, we investigate the Friedmann-Robertson-Walker (FRW) background evolution and the large-scale structure (LSS) in…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-20 Tomonori Furukawa , Shuichiro Yokoyama , Kiyotomo Ichiki , Naoshi Sugiyama , Shinji Mukohyama

The local action of an SU(2) gauge theory in general covariant Abelian gauges and the associated equivariant BRST symmetry that guarantees the perturbative renormalizability of the model are given. A global SL(2,R) symmetry of the model is…

High Energy Physics - Theory · Physics 2017-08-23 Martin Schaden

Monotone lattice recurrence relations such as the Frenkel-Kontorova lattice, arise in Hamiltonian lattice mechanics as models for fe?rromagnetism and as discretization of elliptic PDEs. Mathematically, they are a multidimensional…

Dynamical Systems · Mathematics 2016-11-27 Blaz Mramor , Bob Rink

We explore the hierarchy of hidden space-time symmetries of noncritical strings in RNS formalism, realized nonlinearly. Under these symmetry transformations the variation of the matter part of the RNS action is cancelled by that of the…

High Energy Physics - Theory · Physics 2008-11-26 Dimitri Polyakov

We give an algorithm to compute the slope sequence of modular forms with fixed Galois components from its first few entries, which is a refined version of the conjecture of [Buz05]. We use the results of arXiv:2302.07697 on the ghost…

Number Theory · Mathematics 2025-08-06 Eunsu Hur

Perturbation theory for gravity in dimensions greater than two requires higher derivatives in the free action. Higher derivatives seem to lead to ghosts, states with negative norm. We consider a fourth order scalar field theory and show…

High Energy Physics - Theory · Physics 2008-11-26 S. W. Hawking , Thomas Hertog

The two-dimensional ghost systems with negative integral central charge received much attention in the last years for their role in a number of applications and in connection with logarithmic conformal field theory. We consider the free…

High Energy Physics - Theory · Physics 2009-11-07 G. Delfino , P. Mosconi , G. Mussardo

We introduce intertwining operators among twisted modules or twisted intertwining operators associated to not-necessarily-commuting automorphisms of a vertex operator algebra. Let $V$ be a vertex operator algebra and let $g_{1}$, $g_{2}$…

Quantum Algebra · Mathematics 2017-09-21 Yi-Zhi Huang

We consider generic derivative corrections to the Einstein gravity and find new classes of theories without ghost around the Minkowski background by means of an extension of the spacetime geometry. We assume the Riemann-Cartan geometry,…

High Energy Physics - Theory · Physics 2019-10-02 Katsuki Aoki , Shinji Mukohyama

We present a device that exploits spatial and spectral correlations in parametric downconversion at once. By using a ghost imaging arrangement, we have been able to reconstruct remotely the frequency profile of a composite system. The…

Quantum Physics · Physics 2023-08-07 Andrea Chiuri , Federico Angelini , Simone Santoro , Marco Barbieri , Ilaria Gianani

We calculate the cubic order terms in a covariant theory that gives a nonlinear completion of the Fierz-Pauli massive spin-2 action. The resulting terms have specially tuned coefficients guarantying the absence of a ghost at this order in…

High Energy Physics - Theory · Physics 2014-11-21 Claudia de Rham , Gregory Gabadadze

Reduction algebras are known by many names in the literature, including step algebras, Mickelsson algebras, Zhelobenko algebras, and transvector algebras, to name a few. These algebras, realized by raising and lowering operators, allow for…

Representation Theory · Mathematics 2023-12-08 Jonas T. Hartwig , Dwight Anderson Williams

A scenario of ghost imaging with hybrid transform approach is proposed by integrating Hadamard, discrete cosine, and Haar matrices. The measurement matrix is formed by the Kronecker product of the two different transform matrices. The image…

Image and Video Processing · Electrical Eng. & Systems 2024-05-08 Yi-Ning Zhao , Lin-Shan Chen , Liu-Ya Chen , Lingxin Kong , Chong Wang , Cheng Ren , Su-Heng Zhang , De-Zhong Cao