Koichiro Nakagawa, Yu Nakayama
We show that CP-violating Weyl anomaly induces a supersymmetry anomaly in the formulation of superconformal supergravity as is observed in CP-preserving cases. This supersymmetry anomaly can be removed in the old minimal supergravity by adding suitable local counterterms, and it becomes a consistent theory.
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Anomaly Mediated Supersymmetry Breaking in Four Dimensions, Naturally
我们提出了一个简单的四维模型，其中异常介导的超对称性破缺自然占主导地位。核心要素是，隐藏的部门是一个强耦合的红外固定点附近的几十年的能量低于普朗克尺度。强重整化效应将隐藏扇区与可见扇区隔离。超对称性是动态破缺的，不需要小的输入参数。该模型提供了一个自然的和经济的解释之间的层次结构的超对称性破坏的规模和普朗克尺度，同时允许异常调解，以解决弱尺度超对称性所带来的现象学挑战。特别是，改变味道的中性电流自然接近其实验极限。
In CP-violating conformal field theories in four dimensions, the Pontryagin density can appear in the Weyl anomaly. The Pontryagin density in the Weyl anomaly is consistent, but it has a peculiar feature that the parent three-point function of the energy-momentum tensor can violate CP only (semi-)locally. In this paper, we study the supersymmetric completion of the Pontryagin density in the Weyl anomaly, where the central charge $c$ effectively becomes a complex number. The supersymmetry suggests that it accompanies the graviphoton $θ$ term associated with the R-symmetry gauging in the Weyl an…
The Holographic Supercurrent Anomaly
超对称规范理论中超对称流的γ迹反常与手征R对称反常和Weyl反常共享一个超共形反常多重态，其全息再现是对AdS/CFT对应猜想的一个有价值的检验.本文研究了如何从五维规范超引力${\cal N}=2$中提取出{\cal N}= 1的四维超对称规范理论在{ \cal N}=1的共形超引力背景中的超对称流的γ迹异常。结果表明，这种超Weyl反常的再现源于以下两个事实：第一，{ \cal N}=2的体超对称变换在边界上转化为{ \cal N}=1的超共形变换，它由{ \cal N}=1的超对称变换和特殊的共形超对称构成（或超外尔）变换;第二，五维规范超引力体作用量的超对称变分是全导数。超对称性的不相容性和超外尔变换的不变性产生了全息超对称电流反常。此外，我们推测外规范场和引力背景场对超共形反常的贡献可能有不同的全息起源。
CP-violating CFT and trace anomaly
四维迹反常包含CP破坏理论中的Hirzebruch-Pontryagin密度在逻辑上是可能的。虽然这个项在自由共形不动点处为零，但我们在全息重整化群中认识到了这种可能性，并证明了它确实是可能的。迹线异常中的Hirzebruch-Pontryagin项可以作为一个气压计来理解在共形场论中有多少CP被违反。
We consider the $U(1) ^{n}$ extension of the effective $\mathcal{N}=2$ supersymmetric $U(1) \times U(1) $ model of $arXiv:1204.2141$; and study the explicit relationship between partial breaking of $\mathcal{N}=2$ supersymmetry constraint and D3 brane tadpole anomaly of type IIB string on Calabi-Yau threefolds in presence of H$^{RR}$ and H$^{NS}$ fluxes. We also comment on supersymmetry breaking in the particular $\mathcal{N}=2$ $U(1) $ Maxwell theory; and study its interpretation in connection with the tadpole anomaly with extra localized flux sources.
Recent Results on N=2,4 Supersymmetry with Lorentz Symmetry Violating
在这项工作中，我们提出了N=2和N=4的洛伦兹破缺阿贝尔Chern-Simons项的超对称扩展。我们在6维和10维的Lorentz破坏的问题，分别得到了$N=2-$和$N=4-$超对称的玻色子扇区。由此，我们在N=1，D=4的超空间中进行了分析，并根据$N=1-$超场，我们能够写出洛伦兹破坏作用量项的N=2和N=4的超对称扩张。
Konishi Anomaly and Central Extension in N=1/2 Supersymmetry
证明了四维N=1/2超对称代数允许中心扩张.中心荷由畴壁支撑，计算了中心荷。我们还确定了N=1/2超对称规范理论的Konishi反常。由于拉格朗日量中的新耦合，出现了许多项。我们表明，这些条款的总和给预期的形式的小西异常的全纯部分。对于反全纯部分，我们给出了一个简单的论点，即朴素推广必须修改。我们认为反全纯Konishi反常是由开Wilson线的规范不变完备化给出的。
We showed that there is no SU(2) Witten anomaly in a large class of 4d N = 2 supersymmetric Heterotic string compactifications. The consistency conditions we consider are the modularity of the new supersymmetric index, the integrality of BPS indices, and the discrete Peccei-Quinn shift symmetries. We also found an example where these conditions are not sufficient to show that the theory is anomaly free. This suggests that there are more conditions in the worldsheet SCFT essential for consistent string compactifications.
Operators transform anomalously under the symmetry in the presence of quantum anomalies. We study this aspect of the super-Weyl anomaly in $\mathcal N=(1,1)$ superconformal field theories (SCFTs), in the context of AdS/CFT. In particular, we carry out holographic renormalization for $(1,1)$ pure AdS$_3$ supergravity that is supposed to be a gravity dual of the $\mathcal N=(1,1)$ SCFT, and derive holographic superconformal Ward identities with corresponding anomalies. We show that the obtained super-Weyl anomaly of the $\mathcal N=(1,1)$ SCFT induces a quantum correction term in the transformat…
Harmonicity in N=4 supersymmetry and its quantum anomaly
本文将N=1个超势或N=2个含向量重态的F项的全纯性质推广到定义在调和超空间中的N=4个1/2-BPS有效算子的情形。由此产生的调和方程示出，以控制涉及N=4的Weyl超场的权力，计算N =4拓扑振幅的高维运营商的耦合的模量依赖。这些方程也可以从弦的一面推导出来，表现出一种来自世界面边界贡献的异常，它导致了耦合的非解析部分的递归关系。
Vacuum contribution of photons in the theory with Lorentz and CPT-violating terms
计算了光子对含Lorentz和CPT破坏项的理论中的发散和共形反常的贡献。我们计算了电磁场积分中的单圈反项，并检验了它们具有局部共形不变性。此外，还计算了共形异常和异常引起的有效作用量。结果表明，新的条款不影响共形因子的动力学异常驱动的通货膨胀（Starobinsky模型）及其扩展。与此同时，人们可以预期这些项会影响引力波方程，以及一般的宇宙扰动。
Anomaly and quantum corrections to solitons in two-dimensional theories with minimal supersymmetry
我们重新研究了具有N =1超对称性的二维模型中的孤子质量问题。超代数具有中心扩张，在经典水平上孤子解保持1/2的超对称性，这相当于BPS饱和。证明了在弱耦合展开的所有阶次中，孤子质量与中心荷相等的BPS饱和性质在量子水平上保持不变。我们的关键发现是中心荷的表达式中的异常。经典的中心荷等于超势的跃变，用一个正比于超势二阶导数的反常项来修正。在显式单回路计算中，通过各种方法建立异常。我们认为，这一个循环的结果是不受高阶。我们将详细讨论如何从孤子质量计算中解决边界条件的影响。特别地，孤子的轮廓和能量分布被发现在一个环。观察到非超对称模型中孤子质量计算的“超对称性”。
Heavy Thresholds, Slepton Masses and the $μ$ Term in Anomaly Mediated Supersymmetry Breaking
讨论了重质量阈值对反常介导的软超对称破缺项的影响。虽然重阈值完全解耦到最低阶的超对称性破缺，有人认为，他们确实影响在更高的订单破缺条款。与纯粹的异常介导的贡献相比，相关贡献通常发生在循环扩展中的较低阶处。非去耦贡献可以用来渲染模型，其中超对称性破缺的唯一来源是异常调解可行的，通过产生对slepton质量平方的正贡献。它们也可以用于生成可接受的mu和B项。
Supersymmetry, Trace Anomaly and Naked Singularities
本文讨论了嵌入在$N=2$超引力中的爱因斯坦-麦克斯韦理论的稳态超对称玻色子组态。其中一些组态，包括具有$m = |q|$和任意角动量/单位质量$a$的Kerr-Newman解，表现出裸奇点。然而，$N=2$超重力有迹异常。这些Kerr-Newman解的非零反常能量动量张量违反了一个允许不破缺超对称的组态的相容性条件。因此，该理论的迹反常防止了超对称解表现出裸奇点。
Gauge/Anomaly Syzygy and Generalized Brane World Models of Supersymmetry Breaking
在超对称性在与MSSM物质场分离的膜上破缺的理论中，超对称性破缺自然地以各种方式介导。在理论中没有其他光场的情况下，引力将通过共形异常来介导超对称性破缺。如果规范场在额外维度中传播，它们也可以介导超对称破缺效应。体中规范场的存在促使我们考虑具有全纯和非全纯耦合的新信使场对超对称破缺扇区的影响。这些可以导致MSSM场的软质量的贡献，这极大地改变了超对称性破缺的膜世界场景的特征。特别是，他们可以解决负slepton质量平方异常调解问题，并改变高吉诺调解的预测。
Heterotic supersymmetry, anomaly cancellation and equations of motion
我们证明了杂化超对称性（Killing旋量方程）和反常相消意味着五、六、七、八维中的杂化运动方程当且仅当切丛上的连接是瞬子。对于六维的杂合紧化，这减少了对具有零度稳定切丛的流形上唯一SU（3）瞬子的连接的选择。
A Supersymmetry Anomaly
在非微扰场的存在下发现了超对称性反常。当作用量用正确的量子变量表示时，反常表面项出现在它的超对称变化中--每个集体坐标对应一个。反常表面项一般不消失时，插入两个或更高的循环泡图，并产生违反超对称沃德恒等式。
In order to treat loops in the Lorentz-violating QED model, we present a derivation of the QED axial anomaly that specifically highlights the infrared origin of the effect. This is done using dimensional regularization while treating $γ_5$ as a spectator. This enables us to revisit aspects in the fermionic sector of Lorentz-violating QED which have analogous structure to the axial anomaly. In particular, it is shown that both the Chern-Simons and photon mass operators are not induced in the one loop effective action. At lowest order in the Lorentz-violating parameter, we can define a non-relat…
Scale anomaly in a Lorentz and CPT-violating Quantum Electrodynamics
该研究计算最小洛伦兹和CPT破缺量子电动力学中伸缩流的经典与量子破缺，明确质量项、类Chern-Simons项及无质量极限下费米子算符对尺度对称性的作用。
We show that supersymmetry is anomalous in ${\cal N}=1$ superconformal quantum field theories (SCFTs) with an anomalous R-symmetry. This anomaly was originally found in holographic SCFTs at strong coupling. Here we show that this anomaly is present in general and demonstrate it for the massless superconformal Wess-Zumino model via a one loop computation. The anomaly appears first in four-point functions of two supercurrents with either two R-currents or with an R-current and an energy momentum tensor. In fact, the Wess-Zumino consistency conditions together with the standard R-symmetry anomaly…
A canonical quantization scheme applied to a classical supersymmetric system with quadratic in momentum supercharges gives rise to a quantum anomaly problem described by a specific term to be quadratic in Planck constant. We reveal a close relationship between the anomaly and the Schwarzian derivative, and specify a quantization prescription which generates the anomaly-free supersymmetric quantum system with second order supercharges. We also discuss the phenomenon of a coupling-constant metarmorphosis that associates quantum systems with first-order supersymmetry to the systems with the secon…
Lorentz Violation and Extended Supersymmetry
我们构建了一个集合的洛伦兹违反杨米尔斯理论表现出超对称性。
Calculating the anomalous supersymmetry breaking in Super-Yang-Mills theories with local coupling
具有局域规范耦合的超对称杨-米尔斯理论有一种新的反常破缺，它表现为Wess-Zumino规范中的超对称破缺。反常破缺产生了规范$β$函数的双环序，它是由单圈$β$函数和反常系数表示的.通过求解相关的超对称恒等式，我们确定了Wess-Zumino规范中的反常系数。为此，我们使用的背景规范，并表明，异常系数是唯一确定的收敛单圈积分。在计算本底规范中的单圈图时，可以看出反常系数由单圈顶点函数在消失动量处对拓扑项$G \tilde G$的费曼规范值决定。
Radius Stabilization and Anomaly-Mediated Supersymmetry Breaking
我们详细分析了一个特定的5维实现的“膜宇宙”的情况下，可见和隐藏的部门本地化的空间分离的3膜耦合只有超引力，超对称性破缺起源于隐藏的部门。虽然在四维理论中，通过超引力Kaluza-Klein模的交换，一般的功率计数允许在两个扇区之间存在1/ M_{Planck} ^2阶接触项，但通过仔细地与五维理论进行匹配，我们证明了它们并不存在。我们还发现，对应于紧化维数的大小的半径模量必须通过额外的动力学来稳定，以避免超对称破缺后的失控行为，并理解超对称破缺的通信。我们稳定的半径增加两个纯杨-米尔斯部门，一个在散装和其他本地化的膜上。四维有效理论中的Gaugino凝聚产生了一个超势，它可以自然地将半径固定在一个足够大的值上，使得超对称破缺主要通过最近发现的反常调解机制来传达。半径模量的质量比m_{3/2}大。稳定机制只需要基本尺度上的一阶参数，除了宇宙学常数之外，没有任何微调。
Nonlinear Supersymmetry, Quantum Anomaly and Quasi-Exactly Solvable Systems
在量子反常问题的背景下研究了一维系统的非线性超对称性。在Hamilton超代数中，任何一个具有非线性特征的经典超对称系统都是一个具有超荷全纯形式的超对称正则系统的辛同构。根据超势的性质，正则超对称系统被分为三类。在其中一种情况下，指定超对称性阶数的参数受到某种经典量子化的影响，而另一种极端类型的超对称性具有相当虚构的性质，因为它的费米子自由度通过正则变换完全解耦。本文分析了动量超荷中的多项式非线性超对称性，找到了二阶超荷中最一般的单参数类Calogero解，对规范型系统的量子化揭示了两类无反常的系统，其中一类自然地产生准精确可解系统。Calogero类模型的量子反常问题被特定的超势依赖项$\hbar^2$“治愈”。非线性超对称性可推广到二维系统。
The graceful exit from the anomaly-induced inflation: Supersymmetry as a key
异常引起的暴胀的稳定版本不需要微调，并导致宇宙的充分膨胀。非稳定版本（Starobinsky模型）提供了优雅的退出FRW阶段。我们指出了通货膨胀的可能性，这种通货膨胀在开始时是稳定的，在结束时是不稳定的。这种效应是由于软超对称破缺和大质量超粒子在低能时的退耦。
The CPT odd contribution to the effective electromagnetic action deriving from the vacuum polarization tensor in a large class of fermionic systems exhibiting Lorentz invariance violation (LIV) is calculated using thermal field theory methods, focusing upon corrections depending on the chemical potential. The systems considered exhibit the axial anomaly and their effective actions are described by axion electrodynamics whereby all the LIV parameters enter in the coupling $Θ(x)$ to the unmodified Pontryagin density. A preliminary application to type-I tilted Weyl semimetals is briefly presented…
We present a systematic approach to supersymmetric holographic renormalization for a generic 5D $\mathcal{N}=2$ gauged supergravity theory with matter multiplets, including its fermionic sector, with all gauge fields consistently set to zero. We determine the complete set of supersymmetric local boundary counterterms, including the finite counterterms that parameterize the choice of supersymmetric renormalization scheme. This allows us to derive holographically the superconformal Ward identities of a 4D superconformal field theory on a generic background, including the Weyl and super-Weyl anom…
Using the path integral formulation in Euclidean space, we extended the calculation of the abelian chiral anomalies in the case of Lorentz violating theories by considering a new fermionic correction term provided by the standard model extension, which arises in the continuous Hamiltonian of a weakly tilted Weyl semimetal, and whose cones have opposite tilting. We found that this anomaly is insensitive to the tilting parameter, retaining its well-known covariant form. This independence on the Lorentz violating parameters is consistent with other findings reported in the literature. The initial…
We study the spectral properties of $D$-dimensional $N=2$ supersymmetric lattice models. We find systematic departures from the eigenstate thermalization hypothesis (ETH) in the form of a degenerate set of ETH-violating supersymmetric (SUSY) doublets, also referred to as many-body scars, that we construct analytically. These states are stable against arbitrary SUSY-preserving perturbations, including inhomogeneous couplings. For the specific case of two-leg ladders, we provide extensive numerical evidence that shows how those states are the only ones violating the ETH, and discuss their robust…
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