Quintics with Finite Simple Symmetries

We construct all quintic invariants in five variables with simple Non-Abelian finite symmetry groups. These define Calabi-Yau three-folds which are left invariant by the action of A_5, A_6 or PSL_2(11).Comment: 18 pages, typos corrected, matches published versio

Tween Tourists: Children and Decision-Making.

Research suggests that children influence family vacation decision-making. However, with few exceptions parents act as respondents in studies of family vacation decision-making and furthermore, children’s role is often defined as a rather passive one. Thus, it is often assumed that although children might explicate wishes pertaining to holidays, they generally submit to whatever choices their parents make. In recent years, marketing researchers have taken a keen interest in the so-called ‘tweens’, people who are 8 to 12 years old and in between childhood and the teenage years. One key finding of research on tweens is that tweens are consumers in their own rights – especially in regard to consumption of products such as cellular phones, clothing, magazines, music and movies. However, little research focuses on tweens and vacations and accordingly, we know very little about tweens as consumers of tourism. Drawing on 89qualitative interviews, we suggest that tweens as consumers of tourism differ profoundly from the traditional role of children in tourism consumption. The paper shows that tweens are highly experienced tourists; very active during up-front vacation decision-making; and wish for (and have) a say in regard to issues such as destination choice. Consequently, we argue that tweens should be given voice in future research on tourism consumption if we wish to gain knowledge on families as consumers of tourism

Weakly--exceptional quotient singularities

A singularity is said to be weakly--exceptional if it has a unique purely log terminal blow up. In dimension $2$, V. Shokurov proved that weakly--exceptional quotient singularities are exactly those of types $D_{n}$, $E_{6}$, $E_{7}$, $E_{8}$. This paper classifies the weakly--exceptional quotient singularities in dimensions $3$ and $4$

G(2) quivers

We present, in explicit matrix representation and a modernity befitting the community, the classification of the finite discrete subgroups of G2 and compute the McKay quivers arising therefrom. Of physical interest are the classes of Script N = 1 gauge theories descending from M-theory and of mathematical interest are possible steps toward a systematic study of crepant resolutions to smooth G2 manifolds as well as generalised McKay Correspondences. This writing is a companion monograph to hep-th/9811183 and hep-th/9905212, wherein the analogues for Calabi-Yau three- and four-folds were considered

SIC~POVMs and Clifford groups in prime dimensions

We show that in prime dimensions not equal to three, each group covariant symmetric informationally complete positive operator valued measure (SIC~POVM) is covariant with respect to a unique Heisenberg--Weyl (HW) group. Moreover, the symmetry group of the SIC~POVM is a subgroup of the Clifford group. Hence, two SIC~POVMs covariant with respect to the HW group are unitarily or antiunitarily equivalent if and only if they are on the same orbit of the extended Clifford group. In dimension three, each group covariant SIC~POVM may be covariant with respect to three or nine HW groups, and the symmetry group of the SIC~POVM is a subgroup of at least one of the Clifford groups of these HW groups respectively. There may exist two or three orbits of equivalent SIC~POVMs for each group covariant SIC~POVM, depending on the order of its symmetry group. We then establish a complete equivalence relation among group covariant SIC~POVMs in dimension three, and classify inequivalent ones according to the geometric phases associated with fiducial vectors. Finally, we uncover additional SIC~POVMs by regrouping of the fiducial vectors from different SIC~POVMs which may or may not be on the same orbit of the extended Clifford group.Comment: 30 pages, 1 figure, section 4 revised and extended, published in J. Phys. A: Math. Theor. 43, 305305 (2010

Counting BPS Operators in Gauge Theories: Quivers, Syzygies and Plethystics

We develop a systematic and efficient method of counting single-trace and multi-trace BPS operators with two supercharges, for world-volume gauge theories of $N$ D-brane probes for both $N \to \infty$ and finite $N$. The techniques are applicable to generic singularities, orbifold, toric, non-toric, complete intersections, et cetera, even to geometries whose precise field theory duals are not yet known. The so-called ``Plethystic Exponential'' provides a simple bridge between (1) the defining equation of the Calabi-Yau, (2) the generating function of single-trace BPS operators and (3) the generating function of multi-trace operators. Mathematically, fascinating and intricate inter-relations between gauge theory, algebraic geometry, combinatorics and number theory exhibit themselves in the form of plethystics and syzygies.Comment: 59+1 pages, 7 Figure

Interacting Preformed Cooper Pairs in Resonant Fermi Gases

We consider the normal phase of a strongly interacting Fermi gas, which can have either an equal or an unequal number of atoms in its two accessible spin states. Due to the unitarity-limited attractive interaction between particles with different spin, noncondensed Cooper pairs are formed. The starting point in treating preformed pairs is the Nozi\`{e}res-Schmitt-Rink (NSR) theory, which approximates the pairs as being noninteracting. Here, we consider the effects of the interactions between the Cooper pairs in a Wilsonian renormalization-group scheme. Starting from the exact bosonic action for the pairs, we calculate the Cooper-pair self-energy by combining the NSR formalism with the Wilsonian approach. We compare our findings with the recent experiments by Harikoshi {\it et al.} [Science {\bf 327}, 442 (2010)] and Nascimb\`{e}ne {\it et al.} [Nature {\bf 463}, 1057 (2010)], and find very good agreement. We also make predictions for the population-imbalanced case, that can be tested in experiments.Comment: 10 pages, 6 figures, accepted version for PRA, discussion of the imbalanced Fermi gas added, new figure and references adde

National culture and tourist destination choice in the UK and Venezuela: an exploratory and preliminary study

National culture determines consumer attitudes and behaviour. While this holds true for tourism consumption, little research has sought to better understand the effect of culture on tourist destination choice. The geographical scope of analysis has also been restricted. This study employs the Hofstede’s cultural dimensions framework to conduct an exploratory, qualitative evaluation of the influence of the tourist cultural background on destination choice. It focuses on the UK and Venezuela, the two countries with significant cultural differences and forecast growth in outbound tourism. The study shows the distinct role of culture in tourist preferences for destination choice and structure of travel groups. The effect of culture is also recorded in how tourists research destinations prior to visit and perceive travel risks, thus ultimately influencing their motivation to travel. Recommendations are developed on how to integrate knowledge on the cultural background of tourists into tourism management and policy-making practices

Stakeholders, collaboration, food, and wine: The case of Jumilla’s Gastronomic Days

An emerging literature on gastronomic events highlights the growing interest among academics, event organisers and development agencies in identifying potential or actual outcomes from gastronomic events. Partly in response to such interest, this study seeks to contribute to the literature on events management, studying the contribution of various stakeholders involved in the ‘Gastronomic Days’ of Jumilla, Spain. Semi-structured, face-to-face, in-depth interviews were conducted with the managers and owners of four participating businesses to the event. The data collection was complemented through on-site visits, observations, and interviews with eight other local businesses. The findings underline the significance of collaboration among these participants to grow and sustain the event, as well as voluntary efforts by event ‘stakeholders.’ Importantly, a common objective was identified in the form of enhancing the image of the local products, and overall that of the region, to ‘convert’ residents, and also outside consumers and tourists to Jumilla’s products. These findings have significant implications for Jumilla’s community. In particular, the importance and efforts of a region’s food stakeholders in contributing to adding value and improving the local food culture emerge as useful aspects, with potential benefits for local food growers, hospitality and tourism sectors, and residents