A Note on Positive Energy Theorem for Spaces with Asymptotic SUSY Compactification

We extend the positive mass theorem proved previously by the author to the Lorentzian setting. This includes the original higher dimensional positive energy theorem whose spinor proof was given by Witten in dimension four and by Xiao Zhang in dimension five

Whitham systems and deformations

We consider the deformations of Whitham systems including the "dispersion terms" and having the form of Dubrovin-Zhang deformations of Frobenius manifolds. The procedure is connected with B.A. Dubrovin problem of deformations of Frobenius manifolds corresponding to the Whitham systems of integrable hierarchies. Under some non-degeneracy requirements we suggest a general scheme of the deformation of the hyperbolic Whitham systems using the initial non-linear system. The general form of the deformed Whitham system coincides with the form of the "low-dispersion" asymptotic expansions used by B.A. Dubrovin and Y. Zhang in the theory of deformations of Frobenius manifolds.Comment: 27 pages, Late

Zhang Peili

In 2014, New York-based artist Lois Conner gifted one of pioneering Chinese artist Zhang Peili’s last paintings to The Australian National University’s newly opened Australian Centre on China in the World. Never exhibited and thought lost, the reemergence of Flying Machine (1994) prompts an exploration of the relation between painting and video in the oeuvre of Zhang Peili. Given Zhang’s significance as a leading conceptual painter in the 1980s, then as a media art pioneer and educator in the 1990s and 2000s, Zhang Peili: From Painting to Video is also a nuanced study of broader developments in Chinese contemporary art’s history. Featuring contributions by historian Geremie R. Barmé, photographer Lois Conner, art historians John Clark, Katie Grube, and Olivier Krischer, and curator Kim Machan, these essays together challenge the narrative of Zhang as ‘the father of Chinese video art’, highlighting instead the conceptual consistency, rigour, and formal experimentation in his work, which transcends a specific medium. By equal measure, the book embraces longstanding connections as integral to its meaning, connections between artists, curators and researchers, collaborators, colleagues and friends through China and Australia

Riemann-Liouville Fractional Cosine Functions

In this paper, a new notion, named Riemann-Liouville fractional cosine function is presented. It is proved that a Riemann-Liouville $\alpha$-order fractional cosine function is equivalent to Riemann-Liouville $\alpha$-order fractional resolvents introduced in [Z.D. Mei, J.G. Peng, Y. Zhang, Math. Nachr. 288, No. 7, 784-797 (2015)]

Dynamics of a Massive Binary at Birth

Almost all massive stars have bound stellar companions, existing in binaries or higher-order multiples. While binarity is theorized to be an essential feature of how massive stars form, essentially all information about such properties is derived from observations of already formed stars, whose orbital properties may have evolved since birth. Little is known about binarity during formation stages. Here we report high angular resolution observations of 1.3 mm continuum and H30alpha recombination line emission, which reveal a massive protobinary with apparent separation of 180 au at the center of the massive star-forming region IRAS07299-1651. From the line-of-sight velocity difference of 9.5 km/s of the two protostars, the binary is estimated to have a minimum total mass of 18 solar masses, consistent with several other metrics, and maximum period of 570 years, assuming a circular orbit. The H30alpha line from the primary protostar shows kinematics consistent with rotation along a ring of radius of 12 au. The observations indicate that disk fragmentation at several hundred au may have formed the binary, and much smaller disks are feeding the individual protostars.Comment: Published in Nature Astronomy. This is author's version. Full article is available here (https://rdcu.be/brENk). 47 pages, 10 figures, including methods and supplementary informatio

Transculturating the modern : Zhang Ruogu\u27s literary life in 1930s Shanghai

Zhang Ruogu 張若谷(1905-1967), now known primarily as an urban writer,2 began his literary career by translating and commenting on French literature in newspapers and journals and subsequently published several urban stories. He was also an active advocate of urban life and played an important role in the introduction of the ideas of the French-style café gathering and European cultural trends. Zhang Ruogu’s literary activities, his admiration of French literature and culture, and his works inspired by the French literary works that he admired or translated, are the focus of investigation of this paper. From Paris to Shanghai and from 19th-century French literature to urban stories of Shanghai of the 1930s, these literary trends and works advanced through a process of translation and interpretation. What occurred during this translation and interpretation process? How does this examination aid us in understanding Zhang Ruogu’s own work and modern Chinese literature? This paper addresses Zhang Ruogu’s translations, adaptations and interpretations of French literature as well as his own literary works