标题： 五维纯超引力在Scherk-Schwarz紧致化中的单圈有效势 显示英文标题

标题： One-loop effective potential in Scherk-Schwarz compactifications of pure d=5 supergravities

摘要： 我们对纯$d=5$超引力的一圈有效势进行了系统分析，该分析是在圆上的Scherk-Schwarz紧致化完全破坏了超对称的情况下，作为径向模量的函数进行的。我们讨论了全紧致理论中的有效势$V_1$与其约化理论中的对应物$V_{1,red}$之间的精确对应关系。我们确认，与$V_{1,red}$不同，对于任意的$N>0$，$V_1$是有限的。 我们发现，对于破缺的$N=8$超引力，即使考虑了 Kaluza-Klein 态，$V_1$仍然是负定的。 我们概述了一个未来工作的计划，在这个计划中，研究不同类型的 Scherk-Schwarz 压缩化，仍然在场论层面但至少有三个额外维度，可能会导致定性上新的结果。 显示英文摘要

摘要： We perform a systematic analysis of the one-loop effective potential of pure $d=5$ supergravities, with supersymmetry fully broken by a Scherk-Schwarz compactification on the circle, as a function of the radial modulus. We discuss the precise correspondence between the effective potential $V_1$ in the full compactified theory and its counterpart $V_{1,red}$ in the reduced theory. We confirm that $V_1$ is finite for any $N>0$, in contrast to $V_{1,red}$. We find that for broken $N=8$ supergravity $V_1$ is negative definite even after accounting for the Kaluza-Klein states. We outline a program for future work where the study of a different kind of Scherk-Schwarz compactifications, still at the field theory level but with at least three extra dimensions, could lead to qualitatively new results.