Aspects of the gauged, twisted, SL(2|1)/SL(2|1) Wess-Zumino-Novikov-Witten model

In this thesis we examine some of the interesting aspects of the Wess-Zumino- Novikov-Witten model when this model has been gauged and its energy tensor twisted by the addition of the derivative of one of its Cartan subalgebra valued currents. Specifically we consider the group valued model with the group taken as 5^(211) which is the Lie super group used to describe N = 2 supersymmetry. This model is advocated as being a good and natural description of the N = 2 superstring (also known as the charged spinning string, or N = 2 fermionic string) when it tensors an additional topological system of ghosts. The evidence for this assertion is presented by gauging and twisting the model and then extracting the N = 2 super Liouville action by the method of Hamiltonian reduction. The connection between the 5L (2|1)/5L (2|1) Wess-Zumino-Novikov-Witten model and field theory is made through its current algebra. As is true of many super groups there exists more than one interpretation of the Dynkin diagram for the algebra of 5L(2|1) and this results in more that one set of currents for this model. The classical and quantum currents in free field form are found in both cases, as is the highly non-linear transformation by which the two sets of currents are related. An analysis of a section of the cohomology of physical states of the model is undertaken. It is shown that the additional topological ghost system that tensors the gauged, twisted SL (2\l) model when it describes the N = 2 string only contributes a vacuum state to the overall cohomology, so reducing the analysis. As the 5L(2|1)/5L(2|1) Wess-Zumino-Novikov-Witten model is a topological field theory its spectrum of physical states lie in the cohomology class defined with respect to the BRST charge. The spectrum formed from the free field currents composes the so called Wakimoto module and this is calculated via the BRST formalism

Free field representations for the affine superalgebra sl(2|1)

Free field representations of the affine superalgebra $A(1,0)^{(1)}$ at level $k$ are needed in the description of the noncritical $N=2$ string. The superalgebra admits two inequivalent choices of simple roots. We give the Wakimoto representations corresponding to each of these and derive the relation between the two at the quantum level.Comment: Latex file, 12 page

Benefits and Pitfalls of Emotional and Mobility Meb Mapping. A Case Study of Two Czech Cities

The aim of the paper is to describe the advantages and weaknesses of participatory mapping and to compare them with a questionnaire survey. This case study focuses on two medium-sized cities and their surrounding municipalities, Ostrava (OV) and Hradec Kralove (HK), both located in the Czech Republic. The study works with a questionnaire survey from the research agency STEM/MARK (n=536, PAPI method 86%, CAWI method 14%) from 2022. The main objective of this research was to find out the mobility goals of seniors. Overall, respondents reported 479 goals, with respondents identifying 23 types of important goals in HK and 24 types in OV, with shopping (37 and 24% respectively), doctor (19 and 22%), family (10 and 13%), walking (8 and 6%) and friends (5 and 4%) identified as top priorities. Maximum clustering was assessed at a distance of 370 m for web mapping targets (p<0.05). Survey targets reached maximum clustering at a distance of 140 m in HK and 200 m in OV (p<0.05). The results of web mobility mapping show that natural places and parks are the most common attractive places for respondents. On the other hand, in OV, locations with noisy people or homeless people, as well as industry and brownfields, are identified as repulsive places. In HK, roads, traffic and some public buildings are perceived as the main repulsive places. The perception of railway stations is ambiguous. This study contributes to the discussion on the validity of participatory mapping, showing the importance of careful survey design and data preprocessing. The results from the web mapping were compared with the results from the questionnaire survey (PAPI method) to better describe the advantages and weaknesses of web mapping