scholarly journals Generalising G2 geometry: involutivity, moment maps and moduli

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Anthony Ashmore ◽  
Charles Strickland-Constable ◽  
David Tennyson ◽  
Daniel Waldram

Abstract We analyse the geometry of generic Minkowski $$ \mathcal{N} $$ N = 1, D = 4 flux compactifications in string theory, the default backgrounds for string model building. In M-theory they are the natural string theoretic extensions of G2 holonomy manifolds. In type II theories, they extend the notion of Calabi-Yau geometry and include the class of flux backgrounds based on generalised complex structures first considered by Graña et al. (GMPT). Using E7(7) × ℝ+ generalised geometry we show that these compactifications are characterised by an SU(7) ⊂ E7(7) structure defining an involutive subbundle of the generalised tangent space, and with a vanishing moment map, corresponding to the action of the diffeomorphism and gauge symmetries of the theory. The Kähler potential on the space of structures defines a natural extension of Hitchin’s G2 functional. Using this framework we are able to count, for the first time, the massless scalar moduli of GMPT solutions in terms of generalised geometry cohomology groups. It also provides an intriguing new perspective on the existence of G2 manifolds, suggesting possible connections to Geometrical Invariant Theory and stability.

2021 ◽  
Vol 81 (1) ◽  
Author(s):  
Tianjun Li ◽  
Adeel Mansha ◽  
Rui Sun

AbstractEmploying novel random and supervised scanning methods, we systematically revisit the construction of three-family $$N=1$$ N = 1 supersymmetric Pati–Salam models in Type IIA orientifolds on $$\mathbf{T}^6/({\mathbb {Z}}_2\times {\mathbb {Z}}_2)$$ T 6 / ( Z 2 × Z 2 ) with intersecting D6-branes. Arising from the stacks of D6-branes with U(n) gauge symmetries, the Pati–Salam gauge symmetries $$SU(4)_C\times SU(2)_L \times SU(2)_R$$ S U ( 4 ) C × S U ( 2 ) L × S U ( 2 ) R can be broken down to the Standard Model via D-brane splitting as well as D- and F-flatness preserving Higgs mechanism. Also, the hidden sector contains USp(n) branes, which are parallel with the orientifold planes or their $${{\mathbb {Z}}_2}$$ Z 2 images. We find that the Type II T-duality in the previous study is not an equivalent relation in Pati–Salam model building if the model is not invariant under $$SU(2)_L$$ S U ( 2 ) L and $$SU(2)_R$$ S U ( 2 ) R exchange, and provides a way to obtain new models. We systematically construct the new models with three families, which usually do not have gauge coupling unification at the string scale. We for the first time construct the Pati–Salam models with at least one wrapping number whose absolute value reaching 5. In particular, for one large wrapping number equal to 5, we find that one kind of model carries more refined gauge couplings, and thus with more possibilities to have approximate gauge coupling unification.


2020 ◽  
Vol 81 (2) ◽  
pp. 56-63
Author(s):  
S. A. Karpukhin

The article considers the competition of verbal aspects from a new perspective. Instead of employing the traditional method of demonstrating this phenomenon — an empirical replacement of the aspect of a verb in a phrase with the opposite — the author examines Dostoevsky’s choice between the variants found in different manuscripts of the same text. For the first time, based on a two-component theory of the semantic invariant of a verb type, the aspectual meaning of the selection of a verb aspect is revealed and, as a result of contextual analysis, an artistic interpretation of the selected type is proposed.


2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Luis F. Alday ◽  
Shai M. Chester ◽  
Himanshu Raj

Abstract We study the stress tensor multiplet four-point function in the 6d maximally supersymmetric (2, 0) AN−1 and DN theories, which have no Lagrangian description, but in the large N limit are holographically dual to weakly coupled M-theory on AdS7× S4 and AdS7× S4/ℤ2, respectively. We use the analytic bootstrap to compute the 1-loop correction to this holographic correlator coming from Witten diagrams with supergravity R and the first higher derivative correction R4 vertices, which is the first 1-loop correction computed for a non-Lagrangian theory. We then take the flat space limit and find precise agreement with the corresponding terms in the 11d M-theory S-matrix, some of which we compute for the first time using two-particle unitarity cuts.


2020 ◽  
Vol 6 (1) ◽  
pp. 172-205
Author(s):  
Davide Tanasi

AbstractThe relationship between Sicily and the eastern Mediterranean – namely Aegean, Cyprus and the Levant – represents one of the most intriguing facets of the prehistory of the island. The frequent and periodical contact with foreign cultures were a trigger for a gradual process of socio-political evolution of the indigenous community. Such relationship, already in inception during the Neolithic and the Copper Age, grew into a cultural phenomenon ruled by complex dynamics and multiple variables that ranged from the Mid-3rd to the end of the 2nd millennium BCE. In over 1,500 years, a very large quantity of Aegean and Levantine type materials have been identified in Sicily alongside with example of unusual local material culture traditionally interpreted as resulting from external influence. To summarize all the evidence during such long period and critically address it in order to attempt historical reconstructions is a Herculean labor.Twenty years after Sebastiano Tusa embraced this challenge for the first time, this paper takes stock on two decades of new discoveries and research reassessing a vast amount of literature, mostly published in Italian and in regional journals, while also address the outcomes of new archaeometric studies. The in-depth survey offers a new perspective of general trends in this East-West relationship which conditioned the subsequent events of the Greek and Phoenician colonization of Sicily.


In Language Assessment Across Modalities: Paired-Papers on Signed and Spoken Language Assessment, volume editors Tobias Haug, Wolfgang Mann, and Ute Knoch bring together—for the first time—researchers, clinicians, and practitioners from two different fields: signed language and spoken language. The volume examines theoretical and practical issues related to 12 topics ranging from test development and language assessment of bi-/multilingual learners to construct issues of second-language assessment (including the Common European Framework of Reference [CEFR]) and language assessment literacy in second-language assessment contexts. Each topic is addressed separately for spoken and signed language by experts from the relevant field. This is followed by a joint discussion in which the chapter authors highlight key issues in each field and their possible implications for the other field. What makes this volume unique is that it is the first of its kind to bring experts from signed and spoken language assessment to the same table. The dialogues that result from this collaboration not only help to establish a shared appreciation and understanding of challenges experienced in the new field of signed language assessment but also breathes new life into and provides a new perspective on some of the issues that have occupied the field of spoken language assessment for decades. It is hoped that this will open the door to new and exciting cross-disciplinary collaborations.


2020 ◽  
Vol 2020 (1) ◽  
pp. 000021-000024
Author(s):  
Fabian Hopsch ◽  
Robert Trieb ◽  
Andy Heinig

Abstract Advanced packages are necessary to cope with the requirements of 5G and radar technologies with 60 GHz and beyond. For proper RF design with rising package technology requirements demands for usage of predefined structures with predefined layout elements, manufactured and measured elements. This paper deals with an approach to have such elements available to build advanced types of packages in shorter time compared to classical approaches. The approach is a general approach but it is demonstrated with an advanced two-level package-on-package technology with a leading edge IC technology. It is also used explain the build-up of a construction kit of RF-blocks from the design phase of test structures up to measurement of such structures, qualification and model building. From the test structure more general structures can be derived and used in the design of future 5G applications. This enables better time-to-market, reduces cost and provides higher design validation in terms of first time right.


Author(s):  
Eyal Poleg

This book examines the production and use of Bibles in late medieval and early modern England. The analysis of hundreds of biblical manuscripts and prints reveals how scribes, printers, readers, and patrons have reacted to religious and political turmoil. Looking at the modification of biblical manuscripts, or the changes introduced into subsequent printed editions, reveals the ways in which commerce and devotions joined to shape biblical access. The book explores the period from c.1200 to 1553, which saw the advent of moveable-type print as well as the Reformation. The book’s long-view places both technological and religious transformation in a new perspective. The book progresses chronologically, starting with the mass-produced innovative Late Medieval Bible, which has often been linked to the emerging universities and book-trade of the thirteenth century. The second chapter explores Wycliffite Bibles, arguing against their common affiliation with groups outside Church orthodoxy. Rather, it demonstrates how surviving manuscripts are linked to licit worship, performed in smaller monastic houses, by nuns and devout lay women and men. The third chapter explores the creation and use of the first Bible printed in England as evidence for the uncertain course of reform at the end of Henry VIII’s reign. Henry VIII’s Great Bible is studied in the following chapter. Rather than a monument to reform, a careful analysis of its materiality and use reveals it to have been a mostly useless book. The final chapter presents the short reign of Edward VI as a period of rapid transformation in Bible and worship, when some of the innovations introduced more than three hundred years earlier began, for the first time, to make sense.


Author(s):  
Masayoshi Shibatani

After a brief discussion on the relationships between modern mainland dialects with the two varieties of Old Japanese, Central Old Japanese and Eastern Old Japanese, the salient features of Standard Japanese are described from the new perspective of grammatical nominalizations. Then cross-dialectal studies are presented on selected topics, centering on case particles and the conclusive/adnominal verbal patterns. Also presented for the first time in English is a reasonably detailed description of the isolated dialect of Hachijō Island, which, like Ryūkyūan, retains many archaic features of Old Japanese.


2019 ◽  
Vol 206 ◽  
pp. 09014
Author(s):  
B.W.Q. Tan ◽  
H.Q. Tan ◽  
A.H. Chan

This paper outlines a phenomenological approach towards cell survival curve at low dose using tools of extensive Statistical Mechanics and nonextensive Statistical Mechanics. An Ising chain model is developed for the cell survival curve and the canonical ensemble formalism based on Boltzmann Gibbs statistic and Tsallis statistic is presented. The resulting cell survival curve shows excellent agreement with the experimental data and the physical parameters from our Tsallis model (N’, q) can be shown to provide clear classification between healthy and cancerous cells. In this paper, we also provides possible biophysical interpretation to the (N’, q) parameters where N’ is representative of the amount of repairable DNA content in the nucleus and q represents the degree of correlation in DNA damage. Overall, this is the first time a Statistical Mechanics approach is used in Radiobiology, and could present a new perspective.


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