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While the presence of ghosts has been known for decades, the impact of these apparitions on remote sensing observations has gone unquantified, leaving atmospheric corrections susceptible to ghosting. In this work, we present the first…

Popular Physics · Physics 2021-04-02 Marianne Cowherd , Isaac Malsky

We investigate the stability against inhomogeneous perturbations and the appearance of ghost modes in Gauss-Bonnet gravitational theories with a non-minimally coupled scalar field, which can be regarded as either the dilaton or a…

High Energy Physics - Theory · Physics 2008-11-26 Gianluca Calcagni , Beatriz de Carlos , Antonio De Felice

The "Auxiliary Extra Dimension" model was proposed in order to provide a geometrical interpretation to modifications of general relativity, in particular to non-linear massive gravity. In this context, the theory was shown to be ghost free…

High Energy Physics - Theory · Physics 2011-07-26 S. F. Hassan , Rachel A. Rosen

We show a new class of interaction terms with higher derivatives that can be added to every low derivative real scalar, such that the theory is degenerate, and the equation of motion remains of second order. In contrast to previous setups,…

High Energy Physics - Theory · Physics 2021-03-22 Justo Lopez-Sarrion , Mauricio Valencia-Villegas

We introduce a generalization of the notion of a negligible morphism and study the associated tensor ideals and thick ideals. These ideals are defined by considering deformations of a given monoidal category $\mathcal{C}$ over a local ring…

Representation Theory · Mathematics 2021-12-09 Thorsten Heidersdorf , Hans Wenzl

All solvable two-dimensional quantum gravity models have non-trivial BRST cohomology with vanishing ghost number. These states form a ring and all the other states in the theory fall into modules of this ring. The relations in the ring and…

High Energy Physics - Theory · Physics 2009-09-15 D. Kutasov , E. Martinec , N. Seiberg

The notion of cosilting module was recently introduced as a generalization of the notion of cotilting module. In this paper, we give a characterization of (partial) cosilting modules in terms of two-term cosilting complexes. Moreover, we…

Representation Theory · Mathematics 2016-11-23 Flaviu Pop

In this paper we study irreducible tensor products of representations of alternating groups in characteristics 2 and 3. In characteristic 3 we completely classify irreducible tensor products, while in characteristic 2 we completely classify…

Representation Theory · Mathematics 2020-04-29 Lucia Morotti

Let $X$ be a nonempty real variety that is invariant under the action of a reflection group $G$. We conjecture that if $X$ is defined in terms of the first $k$ basic invariants of $G$ (ordered by degree), then $X$ meets a $k$-dimensional…

Algebraic Geometry · Mathematics 2017-06-08 Tobias Friedl , Cordian Riener , Raman Sanyal

We define the notion of an invariant function on a cluster ensemble with respect to an action of the cluster modular group on its associated function fields. We realize many examples of previously studied functions as elements of this type…

Commutative Algebra · Mathematics 2024-01-08 Dani Kaufman

Recent work has indicated that ghost imaging may have applications in standoff sensing. However, most theoretical work has addressed transmission-based ghost imaging. To be a viable remote-sensing system, the ghost imager needs to image…

Quantum Physics · Physics 2015-05-30 Nicholas D. Hardy , Jeffrey H. Shapiro

The aim of these notes is to provide a self-contained review of why it is generically a problem when a solution of a theory possesses ghost fields among the perturbation modes. We define what a ghost field is and we show that its presence…

High Energy Physics - Theory · Physics 2018-05-18 Fulvio Sbisà

In this paper we investigate possible consistent ghost-free models containing massive spin 2 particles in three dimensions. We work in a constructive approach based on the frame-like gauge invariant description for such massive spin 2…

High Energy Physics - Theory · Physics 2015-06-05 Yu. M. Zinoviev

Ghost-imaging experiments correlate the outputs from two photodetectors: a high spatial-resolution (scanning pinhole or CCD camera) detector that measures a field which has not interacted with the object to be imaged, and a bucket…

Quantum Physics · Physics 2009-11-13 Jeffrey H Shapiro

We define and study virtual representation spaces having both positive and negative dimensions at the vertices of a quiver without oriented cycles. We consider the natural semi-invariants on these spaces which we call virtual…

Representation Theory · Mathematics 2014-01-14 Kiyoshi Igusa , Kent Orr , Gordana Todorov , Jerzy Weyman

In this work we develop a theoretical framework for Gauss-Bonnet modified gravity theories, in which ghost modes can be eliminated at the equations of motion level. Particularly, after we present how the ghosts can occur at the level of…

General Relativity and Quantum Cosmology · Physics 2019-03-06 S. Nojiri , S. D. Odintsov , V. K. Oikonomou

We introduce $n$-fold torsion(-free) classes of an abelian category. These are a generalization of ordinary torsion(-free) classes in the sense that $1$-fold torsion(-free) classes coincide with torsion(-free) classes. In the category of…

Representation Theory · Mathematics 2025-03-17 Yuki Uchida

A classification of bosonic on- and off-shell modes on a cosmological quantum space-time solution of the IIB matrix model is given, which leads to a higher-spin gauge theory. In particular, the no-ghost-theorem is established. The physical…

High Energy Physics - Theory · Physics 2021-06-29 Harold C. Steinacker

We study the representation theory of Dynkin quivers of type A in abstract stable homotopy theories, including those associated to fields, rings, schemes, differential-graded algebras, and ring spectra. Reflection functors, (partial)…

Algebraic Topology · Mathematics 2016-03-11 Moritz Groth , Jan Stovicek

Approximation sequences and derived equivalences occur frequently in the research of mutation of tilting objects in representation theory, algebraic geometry and noncommutative geometry. In this paper, we introduce symmetric approximation…

Representation Theory · Mathematics 2020-04-01 Yiping Chen , Wei Hu