Nuclear Physics B最新文献

英文中文

Tachyons in “momentum-space” representation 动量-空间 "表示法中的超速子

IF 2.5 3区物理与天体物理 Q2 PHYSICS, PARTICLES & FIELDS

Nuclear Physics B

Pub Date : 2024-10-03 DOI: 10.1016/j.nuclphysb.2024.116708

V. Aldaya , J. Guerrero , F.F. López-Ruiz

Obtaining the momentum space associated with tachyonic “particles” from the Poincaré group manifold proves to be rather intricate, departing very much from the ordinary dual to Minkowski space directly parametrized by space-time translations of the Poincaré group. In fact, although described by the constants of motion (Noether invariants) associated with space-time translations, they depend non-trivially on the parameters of the rotation subgroup. However, once the momentum space is parametrized by the Noether invariants, it behaves as that of ordinary particles. On the other hand, the evolution parameter is no longer the one associated with time translation, whose Noether invariant,

P_{o}

, is now a basic one. Evolution takes place in a spatial direction. These facts not only make difficult the computation of the corresponding representation, but also force us to a sound revision of several traditional ingredients related to Cauchy hypersurface, scalar product and, of course, causality. After that, the theory becomes consistent and could shed new light on some special physical situations like inflation or traveling inside a black hole.

从波恩卡莱群流形中获得与超音速 "粒子 "相关的动量空间证明是相当复杂的，与直接由波恩卡莱群的时空平移参数化的闵科夫斯基空间的普通对偶空间相去甚远。事实上，虽然运动常数（诺特不变量）与时空平移相关联，但它们并不完全取决于旋转子群的参数。然而，一旦动量空间被诺特不变式参数化，它就会表现得与普通粒子一样。另一方面，演化参数不再是与时间平移相关的参数，其诺特不变式 Po 现在是一个基本参数。进化发生在空间方向上。这些事实不仅使相应表示的计算变得困难，而且迫使我们对与考希超曲面、标量积，当然还有因果关系有关的几个传统要素进行合理的修正。这样，理论就变得前后一致了，并能对一些特殊的物理现象（如通货膨胀或在黑洞中旅行）提供新的启示。

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引用次数: 0

An integrability illusion: Vanishing transfer matrices associated with generalised Gaudin superalgebras 可整性幻觉与广义高定超代数相关的消失转移矩阵

IF 2.5 3区物理与天体物理 Q2 PHYSICS, PARTICLES & FIELDS

Nuclear Physics B

Pub Date : 2024-10-03 DOI: 10.1016/j.nuclphysb.2024.116706

Mitchell Jones, Phillip S. Isaac, Jon Links

The Lie superalgebra

g l (m | n)

admits irreducible, finite-dimensional representations that continuously depend on a free parameter. For each representation, we define a generalised Gaudin superalgebra through an associated solution of the classical Yang-Baxter equation. The universal enveloping superalgebra of the Gaudin superalgebra formally contains a commuting family of transfer matrices, given by a universal expression. It will be shown that in many instances these transfer matrices are identically zero in the universal enveloping superalgebra. We offer an alternative formulation for identifying transfer matrices.

李超代数 gl(m|n) 具有不可还原的有限维表示，这些表示连续依赖于一个自由参数。对于每个表示，我们通过经典杨-巴克斯特方程的相关解来定义广义高丁超代数。高丁超代数的通用包络超代数形式上包含一个换向矩阵族，由一个通用表达式给出。我们将证明，在许多情况下，这些转移矩阵在通用包络上代数中同等于零。我们为识别转移矩阵提供了另一种表述方式。

引用次数: 0

Field transformations in functional integral, effective action and functional flow equations 函数积分、有效作用和函数流方程中的场变换

IF 2.5 3区物理与天体物理 Q2 PHYSICS, PARTICLES & FIELDS

Nuclear Physics B

Pub Date : 2024-10-02 DOI: 10.1016/j.nuclphysb.2024.116707

C. Wetterich

Field transformations for the quantum effective action lead to different pictures of a given physical situation, as describing a given evolution of the universe by different geometries. Field transformations for functional flow equations can reveal important physical features, as the appearance of bound states. They also allow for technical simplifications. We make a critical assessment of the virtues and shortcomings of different versions of field transformations. Key issues are demonstrated by the quantum field theory for scalars with a field-dependent coefficient of the kinetic term. Our findings confirm the principle of field relativity for gravity and cosmology based on the quantum effective action.

量子有效作用的场变换会导致给定物理情境的不同图景，就像用不同的几何图形描述给定的宇宙演化一样。功能流方程的场变换可以揭示重要的物理特征，如束缚态的出现。它们还允许进行技术简化。我们对不同版本场变换的优缺点进行了批判性评估。关键问题通过标量的量子场论来证明，其动力学项的系数与场有关。我们的发现证实了基于量子有效作用的引力和宇宙学的场相对论原理。

引用次数: 0

Asymptotic bound on slow-roll parameter in stringy quintessence model 弦质五弦模型中慢滚参数的渐近约束

IF 2.5 3区物理与天体物理 Q2 PHYSICS, PARTICLES & FIELDS

Nuclear Physics B

Pub Date : 2024-10-01 DOI: 10.1016/j.nuclphysb.2024.116705

Min-Seok Seo

We study the late time behavior of the scalar part of the volume modulus and the dilaton in stringy quintessence model, focusing on their contributions to the Hubble slow-roll parameter ϵ which directly measures the deviation of the spacetime geometry from de Sitter space. When only one of the moduli is allowed to move, ϵ converges to the stable fixed point at late time. The fixed point value is larger than 1, thus the slow-roll cannot be realized. Moreover, if the decay rate of the quintessence potential is larger than some critical value, the positivity of the potential imposes that the stable fixed point value is just given by 3, independent of the details of the moduli dynamics. Otherwise, the fixed point value coincides with the potential slow-roll parameter. When both the volume modulus and the dilaton roll down the potential simultaneously, we can find the relation between the contributions of two moduli to ϵ satisfied at the fixed point. In this case, the fixed point value is not in general the simple sum of fixed point values in the single field case and cannot be larger than 3.

我们研究了弦五元模型中体积模量的标量部分和稀拉顿的晚期行为，重点是它们对哈勃慢滚参数ϵ的贡献，该参数直接测量时空几何与德西特空间的偏差。当只允许其中一个模量移动时，ϵ 会在晚期收敛到稳定的固定点。定点值大于 1，因此无法实现慢速滚动。此外，如果五芒星势能的衰减率大于某个临界值，势能的正向性意味着稳定定点值只是由 3 给出，与模态动力学的细节无关。否则，定点值就会与潜在的慢滚参数重合。当体积模量和稀拉顿同时向下滚动时，我们可以在定点找到两个模量对ϵ 的贡献之间的关系。在这种情况下，定点值一般不是单场情况下定点值的简单相加，不可能大于 3。

引用次数: 0

A∞ perspective to Sen's formalism 从一个∞角度看森的形式主义

IF 2.5 3区物理与天体物理 Q2 PHYSICS, PARTICLES & FIELDS

Nuclear Physics B

Pub Date : 2024-09-30 DOI: 10.1016/j.nuclphysb.2024.116691

Atakan Hilmi Fırat

Sen's formalism is a mechanism for eliminating constraints on the dynamical fields that are imposed independently from equations of motion by employing spurious free fields. In this note a cyclic homotopy associative algebra underlying Sen's formalism is developed. The novelty lies in the construction of a symplectic form and cyclic

A_{\infty}

maps on an extended algebra that combines the dynamical and spurious fields. This algebraic presentation makes the gauge invariance of theories using Sen's formulation manifest.

森的形式主义是一种通过使用虚假自由场来消除对独立于运动方程的动力场的约束的机制。在本论文中，我们提出了基于森形式主义的循环同调关联代数。它的新颖之处在于在一个结合了动力场和虚假场的扩展代数上构建了交映形式和循环 A∞ 映射。这种代数表达使得使用森公式的理论的规不变性显而易见。

引用次数: 0

On a new class of non-dynamical ABCD algebras for classical and quantum integrable systems 论经典和量子可积分系统的一类新的非动力学 ABCD 矩阵

IF 2.5 3区物理与天体物理 Q2 PHYSICS, PARTICLES & FIELDS

Nuclear Physics B

Pub Date : 2024-09-30 DOI: 10.1016/j.nuclphysb.2024.116685

T. Skrypnyk

We consider classical and quantum non-dynamical quadratic

a b c d

Lax algebras with classical and quantum

g l (n) \otimes g l (n)

-valued

a b c d

-tensors satisfying a set of quadratic non-dynamical Yang-Baxter-type equations generalizing those of Fredel and Maillet [1]. We establish a relation of some of these equations with the so-called “semi-dynamical” Yang-Baxter equations of [2]. We show that the linearization of the corresponding quadratic structures lead to linear tensor structures with the classical

g l (n) \otimes g l (n)

-valued r-matrices satisfying usual “permuted” classical Yang-Baxter equations [1], [3], [4], [5]. We consider example of our construction associated with the deformed

Z_{n}

-graded r-matrix of [9], [10], [11] and explicitly construct the corresponding

a b c d

-tensors — both classical and quantum. Small n examples are also considered in some details.

我们考虑了具有经典和量子 gl(n)⊗gl(n)值的 abcd 张量的经典和量子非动力二次 abcd 拉克斯布拉，它满足一组二次非动力杨-巴克斯特方程，概括了 Fredel 和 Maillet [1] 的方程。我们建立了其中一些方程与 [2] 中所谓 "半动态 "杨-巴克斯特方程的关系。我们证明，相应二次结构的线性化会导致线性张量结构与经典的 gl(n)⊗gl(n)-valued r 矩满足通常的 "置换 "经典杨-巴克斯特方程 [1]、[3]、[4]、[5]。我们考虑了与 [9]、[10]、[11] 的变形 Zn 级 r 矩阵相关的构造实例，并明确构造了相应的 abcd 张量--包括经典张量和量子张量。我们还详细考虑了小 n 例子。

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引用次数: 0

Accelerating Kerr-Taub-NUT spacetime in the low energy limit of heterotic string theory 加速异质弦理论低能极限中的克尔-陶布-努特时空

IF 2.5 3区物理与天体物理 Q2 PHYSICS, PARTICLES & FIELDS

Nuclear Physics B

Pub Date : 2024-09-27 DOI: 10.1016/j.nuclphysb.2024.116704

Haryanto M. Siahaan

We construct a novel solution in the low energy limit of heterotic string theory describing accelerating charged and rotating black holes with NUT parameter. Some aspects of the new spacetime are discussed, such as locations of horizons, ergoregions, conic singularity, closed timelike curves, and area temperature product. We find some of the properties resemble the ones belong to accelerating Kerr-Newman-Taub-NUT spacetime.

我们在异质弦理论的低能极限中构建了一个新的解决方案，描述了带NUT参数的加速带电旋转黑洞。我们讨论了新时空的一些方面，如地平线位置、ergoregions、圆锥奇点、闭合时间曲线和面积温度积。我们发现其中一些特性与加速克尔-纽曼-陶布-NUT 时空的特性相似。

引用次数: 0

Interactions in the IKKT matrix model on covariant quantum spacetime 协变量子时空中 IKKT 矩阵模型中的相互作用

IF 2.5 3区物理与天体物理 Q2 PHYSICS, PARTICLES & FIELDS

Nuclear Physics B

Pub Date : 2024-09-27 DOI: 10.1016/j.nuclphysb.2024.116693

Harold C. Steinacker, Tung Tran

We study the interactions of the higher-spin gauge theory arising from the IKKT matrix model on a covariant quantum FLRW quantum space-time

M_{J}^{1, 3}

, denoted as HS-IKKT. In particular, we elaborate some of the vertices and observe that they are not manifestly Lorentz invariant in the unitary formulation. We argue that Lorentz invariance of HS-IKKT can be recovered since Lorentz transformations are part of the gauge invariance in the covariant formulation. This statement is verified for some vertices with lowest number of derivatives. The lowest-derivative sector of this theory is expected to be governed by an “almost”-Lorentz-invariant Yang-Mills theory coupled to emergent gravity.

我们研究了在协变量子FLRW量子时空MJ1,3上的IKKT矩阵模型所产生的高自旋规理论的相互作用，表示为HS-IKKT。我们特别阐述了一些顶点，并观察到它们在单元式中并不明显具有洛伦兹不变性。我们认为，HS-IKKT 的洛伦兹不变性是可以恢复的，因为洛伦兹变换是协变公式中规距不变性的一部分。这一说法在一些具有最低导数的顶点上得到了验证。预计该理论的最低导数部门将由与新兴引力耦合的 "几乎 "洛伦兹不变的杨-米尔斯理论支配。

引用次数: 0

Topological properties of black holes in five-dimensional gauged supergravity 五维测量超引力中黑洞的拓扑特性

IF 2.5 3区物理与天体物理 Q2 PHYSICS, PARTICLES & FIELDS

Nuclear Physics B

Pub Date : 2024-09-27 DOI: 10.1016/j.nuclphysb.2024.116683

Yucheng He, Changxiang Lei, Deyou Chen

In this paper, we study the topological properties of five-dimensional rotating charged black holes in different ensembles. The topological numbers for the black holes are gotten in the grand canonical and canonical ensembles, which are 1. When the charge and cosmological constant disappear, their topological numbers are 0. When the pressure is lower than the critical pressure, the phase transition exists in the canonical ensemble. However, the phase transition also exists in the grand canonical ensemble when the pressure is higher than the critical pressure and two independent rotational parameters are

a = 1

and

b = - 1

. This may be due to the fact that the values of the rotational parameters change the supersymmetry of the black hole and lead to the phase transition.

本文研究了五维旋转带电黑洞在不同集合中的拓扑性质。在大规范集合和规范集合中，黑洞的拓扑数为 1。当电荷和宇宙常数消失时，它们的拓扑数为 0。当压力低于临界压力时，典范集合中存在相变。然而，当压力高于临界压力，且两个独立的旋转参数 a=1 和 b=-1 时，大规范集合中也存在相变。这可能是由于旋转参数的取值改变了黑洞的超对称性，从而导致了相变。

引用次数: 0

Moving holographic boundaries 移动全息边界

IF 2.5 3区物理与天体物理 Q2 PHYSICS, PARTICLES & FIELDS

Nuclear Physics B

Pub Date : 2024-09-26 DOI: 10.1016/j.nuclphysb.2024.116699

Meseret Asrat

In this paper, we show that for one sign of the deformation coupling single-trace

T \overline{T}

deformation moves the holographic screen in Gödel universe radially inward. For the other sign of the coupling it moves the holographic screen radially outward. We (thus) argue, on general grounds, that in holography (single-trace)

T \overline{T}

deformation can be generally thought of as either moving the holographic boundary into the bulk or washing it away to infinity. We explain in what sense. In Anti-de Sitter this breaks the spacetime conformal symmetry. We further note that moving timelike holographic boundary into bulk creates (at onset) a curvature singularity. In the boundary the singularity is understood by states with imaginary energies. To define or make the bulk theory sensible we introduce an ultraviolet cutoff and thereby move the boundary into the bulk. However, it is not clear whether suitable boundary conditions that lead to a consistent string theory exist. In this paper we first obtain the Penrose limit of the single-trace

T \overline{T}

deformed string background and then perform T-duality along a space-like isometry to obtain a class of deformed Gödel universes. The string background we consider is

A d S_{3} \times S^{3} \times M_{4}

. The single-trace

T \overline{T}

deformation is a particular example of the more general

O (d, d)

transformations.

在本文中，我们证明了在形变耦合的一种符号下，单迹线TT‾形变会使哥德尔宇宙中的全息屏幕径向向内移动。对于耦合的另一种符号，它使全息屏幕径向向外移动。因此，我们（基于一般理由）认为，在全息（单迹）中，TT-‾形变一般可被认为是将全息边界移入体中或将其冲刷到无穷远。我们将解释其含义。在反德西特（Anti-de-Sitter）中，这打破了时空保角对称性。我们还注意到，将时间全息边界移入体块（在开始时）会产生曲率奇点。在边界中，奇点由具有虚能的态来理解。为了定义或使体态理论合理，我们引入了紫外截止点，从而将边界移入体态。然而，目前还不清楚是否存在合适的边界条件，可以导致一致的弦理论。在本文中，我们首先得到了单迹线TT‾变形弦背景的彭罗斯极限，然后沿着类空间等距法进行T对偶，得到了一类变形哥德尔宇宙。我们考虑的弦背景是AdS3×S3×M4。单迹线TT-‾变形是更一般的O(d,d)变换的一个特殊例子。

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引用次数: 0

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Nuclear Physics B

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