An evaluation of sustainability in large British companies

This article undertakes an assessment of the sustainability efforts of some of the largest companies that are listed on the FTSE 100 (a share index composed of the 100 largest companies that are listed on the London Stock Exchange according to market capitalisation). It provides empirical insights into how large listed British companies are addressing sustainability and their efforts in terms of incorporating sustainability factors into their business operations. The study was based on an extended content analysis of each company’s annual and sustainability reports. Our findings demonstrate that companies are trying to integrate sustainability in their business strategies even though there are variations in their efforts. There are indications that the majority of the companies have been able to embed sustainability in their strategy and operations and are now attempting to establish goals for further improvement. We found strong evidence of willingness to engage with relevant stakeholders to evaluate which sustainability issues are of importance to the particular companies and then to communicate to those relevant stakeholders the measures that have been taken to integrate sustainability in their business strategies. However, our findings also revealed areas where there is a need for further improvement such as compliance with international standards for sustainability reporting and establishment of better frameworks to enhance their sustainability efforts

The Impact of Enlightened Shareholder Value

This paper documents and analyses the findings of a study conducted in relation to selected reports of all of the retail companies that are listed on the FTSE 100 in order to ascertain the impact of enlightened shareholder value on UK corporate governance. The findings are also analysed in light of other studies and commentary

Backwards-induction outcome in a quantum game

In economics duopoly is a market dominated by two firms large enough to influence the market price. Stackelberg presented a dynamic form of duopoly that is also called `leader-follower' model. We give a quantum perspective on Stackelberg duopoly that gives a backwards-induction outcome same as the Nash equilibrium in static form of duopoly also known as Cournot's duopoly. We find two qubit quantum pure states required for this purpose.Comment: Revised in the light of referee's comments. Latex, 16 pages, 2 figures, To appear in Phy. Rev.

Quantum mechanics gives stability to a Nash equilibrium

We consider a slightly modified version of the Rock-Scissors-Paper (RSP) game from the point of view of evolutionary stability. In its classical version the game has a mixed Nash equilibrium (NE) not stable against mutants. We find a quantized version of the RSP game for which the classical mixed NE becomes stable.Comment: Revised on referee's criticism, submitted to Physical Review

Formal verification of ‘full chip’ containing ‘shell’ partitions with and without feed-thrus

The `Full Chip' module of an ASIC is made up of various partitions and similar to individual partitions, it also goes through various stages of the physical design. The initial design-planning works on the existing pins of a partition, adds feed-thru pins and performs custom placement and routing on signal and clock nets. Near tape-in, ECO (Engineering Change Order) forces manual changes to design as opposed to taking it through full implementation cycle. At the final stages, when layout database of each partition meets the requirements, a bottom up integration is carried out to create full chip layout. All these stages can create logical differences between layout and RTL of the top level interface. In order to verify that no unintentional logical change has happened to full chip, a robust formal verification strategy with numerous practical considerations is necessary. Designers also make use of 100% or partial shell models at the floor-planning phase which does bring advantages but also creates challenges for the formal verification flow. This article documents these challenges by explaining the formal verification approach taken on Intel's next generation network processing chip

Refined Topological Vertex and Instanton Counting

It has been proposed recently that topological A-model string amplitudes for toric Calabi-Yau 3-folds in non self-dual graviphoton background can be caluculated by a diagrammatic method that is called the ``refined topological vertex''. We compute the extended A-model amplitudes for SU(N)-geometries using the proposed vertex. If the refined topological vertex is valid, these computations should give rise to the Nekrasov's partition functions of N=2 SU(N) gauge theories via the geometric engineering. In this article, we verify the proposal by confirming the equivalence between the refined A-model amplitude and the K-theoretic version of the Nekrasov's partition function by explicit computation.Comment: 22 pages, 6 figures, minor correction

Wall-crossing, free fermions and crystal melting

We describe wall-crossing for local, toric Calabi-Yau manifolds without compact four-cycles, in terms of free fermions, vertex operators, and crystal melting. Firstly, to each such manifold we associate two states in the free fermion Hilbert space. The overlap of these states reproduces the BPS partition function corresponding to the non-commutative Donaldson-Thomas invariants, given by the modulus square of the topological string partition function. Secondly, we introduce the wall-crossing operators which represent crossing the walls of marginal stability associated to changes of the B-field through each two-cycle in the manifold. BPS partition functions in non-trivial chambers are given by the expectation values of these operators. Thirdly, we discuss crystal interpretation of such correlators for this whole class of manifolds. We describe evolution of these crystals upon a change of the moduli, and find crystal interpretation of the flop transition and the DT/PT transition. The crystals which we find generalize and unify various other Calabi-Yau crystal models which appeared in literature in recent years.Comment: 61 pages, 14 figures, published versio

The Refined Topological Vertex

We define a refined topological vertex which depends in addition on a parameter, which physically corresponds to extending the self-dual graviphoton field strength to a more general configuration. Using this refined topological vertex we compute, using geometric engineering, a two-parameter (equivariant) instanton expansion of gauge theories which reproduce the results of Nekrasov. The refined vertex is also expected to be related to Khovanov knot invariants.Comment: 70 Pages, 23 Figure