James T. C. Liu

Holographic c -theorems and higher derivative gravity

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On horizons and plane waves

We investigate the possibility of having an event horizon within several classes of metrics that asymptote to the maximally supersymmetric IIB plane wave. We show that the presence of a null Killing vector (not necessarily covariantly constant) implies an effective separation of the Einstein equations into a standard and a wave component. This feature may be used to generate new supergravity solutions asymptotic to the maximally supersymmetric IIB plane wave, starting from standard seed solutions such as branes or intersecting branes in flat space. We find that in many cases it is possible to preserve the extremal horizon of the seed solution. On the other hand, non-extremal deformations of the plane wave solution result in naked singularities. More generally, we prove a no-go theorem against the existence of horizons for backgrounds with a null Killing vector and which contain at most null matter fields. Further attempts at turning on a non-zero Hawking temperature by introducing additional matter have proved unsuccessful. This suggests that one must remove the null Killing vector in order to obtain a horizon. We provide a perturbative argument indicating that this is in fact possible.

Linearized gravity in the Karch–Randall braneworld

Abstract We present a linearized gravity investigation of the bent braneworld, where an AdS 4 brane is embedded in AdS 5 . While we focus on static spherically symmetric mass distributions on the brane, much of the analysis continues to hold for more general configurations. In addition to the identification of the massive Karch–Randall graviton and a tower of Kaluza–Klein gravitons, we find a radion mode that couples to the trace of the energy–momentum tensor on the brane. The Karch–Randall radion arises as a property of the embedding of the brane in the bulk space, even in the context of a single brane model.

An Administrative Cycle in Chinese History: The Case of Northern Sung Emperors

This study starts with three assumptions. First, inasmuch as the concept “absolutism” which is often used in writing about premodern Chinese history needs clarification, it will be helpful to study imperial power at the level of actual administrative operations. Second, within the framework of general political and ideological institutions, administrative operations have dynamics of their own. Finally, a new understanding of these dynamics as a contributing factor will add to our knowledge of the working of the dynastic cycle in Chinese history.

Yueh Fei (1103-41) and China's Heritage of Loyalty

Loyalty is at present an agonizing question to many concerned Chinese who face either divisive circumstances or imposition of particular political lines. Few topics could be more relevant than their heritage of loyalty and its implications today. Never a simple matter in politics, loyalty often produced great tensions and even ironical tragedies that filled the pages in Chinese history. As early as the Shang period, according to the ancient legend, an official most loyal to the state was killed by the displeased last king for not being loyal to him. In the more recent period of the Ming, for example, Yu Chien (1398–1457) suffered the same fate. Having defended Peking and thus saved the realm during the emperors brief captivity, he was later executed by the same emperor who returned and eventually retook the throne. Of all these ironical tragedies—loyal men condemned as disloyal—the case of Yueh Fei has been highly significant. He was for centuries a much mythologized and even deified symbol of loyalty. With superstitious beliefs swept away by modern waves, many Chinese still identify his image with nationalism, anti-imperialistic stands, and attachment to the fatherland. This essay will analyze the following: pertinent points in Yueh Feis career, the neo-Confucian theory and practice of loyalty in political science terms, and his evolving myths in intellectual history with regard to both the elite heritage and the mass heritage.

The Sung Views On the Control of Government Clerks

The extensive use of clerks (ii)--principally the clerical scribes (shu-li) and broadly all kinds of miscellaneous clercks (hsii-lu)-has been a striking characteristic of the Chinese government particularly since the Sung period. In the rigidly structured society, the clerks were a unique substratum between the two broad socio-political classes, the officials and the people 1). They worked for the government as a servile group and often had to suffer humiliating punishment when they displeased the officials. Most of them were prevented by specific segregating regulations from moving up into the officialdom. Usually, the clerks were not even allowed to take the civil service examination which was

One-Loop Test of Quantum Black Holes in anti–de Sitter Space

Within 11-dimensional supergravity we compute the logarithmic correction to the entropy of magnetically charged asymptotically AdS_{4} black holes with arbitrary horizon topology. We find perfect agreement with the expected microscopic result arising from the dual field theory computation of the topologically twisted index. Our result relies crucially on a particular limit to the extremal black hole case and clarifies some aspects of quantum corrections in asymptotically AdS spacetimes.

STRINGS AND STATISTICS

Abstract We discuss the possibility of unusual statistics in four dimensional string theory through the use of Aharonov-Bohm like phases. Such phases are closely related to anomaly cancellation in four dimensions and thus can be exactly calculated in terms of the low energy fermion spectrum of the theory. We illustrate this connection by calculating the statistical phases exactly in sample models of heterotic string compactification. We discuss some of the difficulties in applying these ideas to fundamental strings, and mention some possible applications to cosmic string scenarios.

Gauge and gravitational anomaly cancellation in type-I superstring theory

Abstract We present a comprehensive study of the gauge, mixed and gravitational anomalies in the type-I open superstring theory using the covariant RNS operator formalism. All anomalies are shown to cancel among the possible one-loop open string diagrams for the gauge group SO(32). Furthermore, we clear up some points that may not have been completely understood in the past and show how the anomaly contributions arise from the boundaries of moduli space. We also discuss how the open string calculations can be understood in the boundary and crosscap formalism.

On (Formula presented.) partition functions without R-symmetry

A bstractWe examine the dependence of four-dimensional Euclidean N=1