185 research outputs found
The algebra and its truncations
The main objective of this work is to construct and classify the most general
classical and quantum -algebras generated
by the same spins as the singlet algebra of fermions and bosons in the
vector representation of in the limit. This type of
algebras appears in a recent version of the minimal model
holography. Our analysis strongly suggests that there is a one parameter family
of such algebras at every given central charge.
Relying on this assumption, we identify various truncations of
with, on the one hand, (orbifolds of) the
Drinfel'd-Sokolov reductions of the Lie superalgebras , ,
and , and, on the other hand, (orbifolds of) three
cosets. After a closer inspection we show that these cosets can
be realized as a Drinfel'd-Sokolov reduction of , and
. We then discuss the implications of our findings for the quantum
version of the minimal model holography.Comment: old section 5.4 removed, 46 page
Extended supersymmetry in AdS_3 higher spin theories
We determine the asymptotic symmetry algebra (for fields of low spin) of the
matrix extended Vasiliev theories on AdS and find that it
agrees with the -algebra of their proposed coset duals. Previously
it was noticed that for the supersymmetry increases from
to . We study more systematically this type of supersymmetry
enhancements and find that, although the higher spin algebra has extended
supersymmetry for all , the corresponding asymptotic symmetry algebra
fails to be superconformal except for , when it has large
superconformal symmetry. Moreover, we find that the Vasiliev theories based on
are special cases of
the matrix extended higher spin theories, and hence have the same supersymmetry
properties.Comment: 23 page
Even spin minimal model holography
The even spin W^e_\infty algebra that is generated by the stress energy
tensor together with one Virasoro primary field for every even spin s \geq 4 is
analysed systematically by studying the constraints coming from the Jacobi
identities. It is found that the algebra is characterised, in addition to the
central charge, by one free parameter that can be identified with the
self-coupling constant of the spin 4 field. We show that W^e_\infty can be
thought of as the quantisation of the asymptotic symmetry algebra of the even
higher spin theory on AdS_3. On the other hand, W^e_\infty is also quantum
equivalent to the so(N) coset algebras, and thus our result establishes an
important aspect of the even spin minimal model holography conjecture. The
quantum equivalence holds actually at finite central charge, and hence opens
the way towards understanding the duality beyond the leading 't Hooft limit.Comment: 32 pages, v2: reference added, minor changes in tex
Edge states and conformal boundary conditions in super spin chains and super sigma models
The sigma models on projective superspaces CP^{N+M-1|N} with topological
angle theta=pi mod 2pi flow to non-unitary, logarithmic conformal field
theories in the low-energy limit. In this paper, we determine the exact
spectrum of these theories for all open boundary conditions preserving the full
global symmetry of the model, generalizing recent work on the particular case
M=0 [C. Candu et al, JHEP02(2010)015]. In the sigma model setting, these
boundary conditions are associated with complex line bundles, and are labelled
by an integer, related with the exact value of theta. Our approach relies on a
spin chain regularization, where the boundary conditions now correspond to the
introduction of additional edge states. The exact values of the exponents then
follow from a lengthy algebraic analysis, a reformulation of the spin chain in
terms of crossing and non-crossing loops (represented as a certain subalgebra
of the Brauer algebra), and earlier results on the so-called one- and
two-boundary Temperley Lieb algebras (also known as blob algebras). A
remarkable result is that the exponents, in general, turn out to be irrational.
The case M=1 has direct applications to the spin quantum Hall effect, which
will be discussed in a sequel.Comment: 50 pages, 18 figure
Yangian Superalgebras in Conformal Field Theory
Quantum Yangian symmetry in several sigma models with supergroup or
supercoset as target is established. Starting with a two-dimensional conformal
field theory that has current symmetry of a Lie superalgebra with vanishing
Killing form we construct non-local charges and compute their properties.
Yangian axioms are satisfied, except that the Serre relations only hold for a
subsector of the space of fields. Yangian symmetry implies that correlation
functions of fields in this sector satisfy Ward identities. We then show that
this symmetry is preserved by certain perturbations of the conformal field
theory.
The main example are sigma models of the supergroups PSL(N|N), OSP(2N+2|2N)
and D(2,1;\alpha) away from the WZW point. Further there are the OSP(2N+2|2N)
Gross-Neveu models and current-current perturbations of ghost systems, both for
the disc as world-sheet. The latter we show to be equivalent to CP^{N-1|N}
sigma models, while the former are conjecturally dual to supersphere sigma
models
On the coset duals of extended higher spin theories
We study the holographic duality between the M x M matrix extension of
Vasiliev higher spin theories on AdS3 and the large N limit of SU(N+M)/SU(N) x
U(1) type cosets. We present a simplified proof for the agreement of the
spectra and clarify the relation between this duality and the version in which
the cosets are replaced by Kazama-Suzuki models of Grassmannian type.Comment: 27 pages, 1 tabl
Smart Specialisation, seizing new industrial opportunities
This study offers a novel analytical approach to inform the regional search for new industrial opportunities, as promoted by smart specialisation in the EU Cohesion policy context. The analysis departs from the challenges of practicing smart specialisation and its entrepreneurial discovery process in a dynamic perspective. It argues that the adoption of a dynamic approach to identify new opportunities implies mapping regional business and innovation assets as well as, assessing their position within the global technological and industrial landscape. The study brings a case study of Lombardy region, spurring the S3 Lab initiative (in collaboration with Baden-Württemberg, Catalonia and Lapland), together with a comparative analysis of its technological profile. The empirical study combines patent data from OECD REGPAT and territorial proprietary micro-data from Lombardy region on firm creation in emerging industries (EI) – new industrial sectors or existing sectors evolving into new industries (European Cluster Observatory). These industries represent a priority area for Lombardy's innovation-led development strategy. The initial observations confirm the importance of such industries in the region; they represent more than one-third of employment, almost a half of the regional value-added and feature together the majority of start-ups, suggesting the relevance of the regional strategic development choices. Also, in terms of productive advantages, Lombardy ranks high in some key EI. The mapping of technological competences through patent indicators, e.g. specialisation, diversification and ability to specialise in fast-growing and niche fields gives relevant insights on the technological potential of the region, providing further guidance for better targeted interventions.JRC.B.3-Territorial Developmen
ANALISIS CURRENT RATIO DAN QUICK RATIO UNTUK MENILAI KINERJA KEUANGAN PADA PT BANK RAKYAT INDONESIA (PERSERO) TBK
Tujuan penelitian ini dilakukan adalah untuk menganalisa current ratio dan quick ratio pada PT Bank Rakyat Indonesia (Persero) Tbk, dengan metode analisis deskriptif kuantitatif dan alat analisis ratio dari annual report PT Bank Rakyat Indonesia (Persero) Tbk periode 2017-2021.
Hasil penelitian menunjukkan bahwa current ratio periode 2017-2022 belum dikatakan baik karena belum memenuhi standar Bank Indonesia, hal ini disebabkan karena terjadinya penurunan nilai aset produktif dan penghapusan kredit. Sedangkan quick ratio pada periode 2017-2021 mengalami fluktuasi, walaupun current ratio rendah tapi quick ratio tinggi menunjukkan tidak adanya investasi besar dalam kas, bank, efek maupun piutang sehingga rasio antara kas, dan efek yang segera bisa direalisasi bila diperlukan dengan total utang jangka pendek, sehingga dapat disimpulkan bahwa semakin tinggi quick ratio, maka semakin besar pula kemampuan bank dalam memenuhi kewajiban terhadap para deposan (likuid) karena telah memenuhi standar Bank Indonesia (BI) sebesar 4,05%.
 
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