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We investigate the N=2 superconformal index for supersymmetric quiver Chern-Simons theories with large N gauge groups. After general arguments about the large N limit, we compute the first few terms in the series expansion of the index for…

高能物理 - 理论 · 物理学 2015-03-18 Yosuke Imamura , Daisuke Yokoyama , Shuichi Yokoyama

We continue the study of 3d ${\mathcal N}=2$ Chern-Simons (CS) quiver gauge theories on $\Sigma_{\mathfrak{g}}\times S^1$. Using localization results, we compute the twisted index of recently constructed SCFTs in the large rank limit.…

高能物理 - 理论 · 物理学 2019-09-24 Dharmesh Jain

Topology change in quantum gravity is considered. An exact wave function of the Universe is calculated for topological Chern-Simons 2+1 dimensional gravity. This wave function occurs as the effect of a quantum anomaly which leads to the…

高能物理 - 理论 · 物理学 2009-10-19 Pawel O. Mazur

The exact free energy of SU($N$) Chern-Simons theory at level $k$ is expanded in powers of $(N+k)^{-2}.$ This expansion keeps rank-level duality manifest, and simplifies as $k$ becomes large, keeping $N$ fixed (or vice versa)---this is the…

高能物理 - 理论 · 物理学 2010-11-01 Vipul Periwal

By coupling {\cal N}=8 superconformal matter to {\cal N}=8 superconformal Chern-Simons gravity in three dimensions we obtain theories with novel terms in the scalar potential leading to AdS_3 solutions and superconformal symmetry breaking.…

高能物理 - 理论 · 物理学 2015-06-04 Ulf Gran , Jesper Greitz , Paul Howe , Bengt E. W. Nilsson

We study the large $ N$ sign oscillation of the twisted indices for 3D theories of class $\mathcal{R}$ obtained from M5-branes wrapped on a hyperbolic 3-manifold. Holographically, the oscillatory behavior can be understood from the…

高能物理 - 理论 · 物理学 2021-06-30 Sunjin Choi , Dongmin Gang , Nakwoo Kim

We construct a novel topologically massive abelian Chern-Simons gauge theory with 32 global supersymmetries in three spacetime dimensions. In spite of the 32 supercharges, the theory exhibits massive excitations only up to spin 1. The…

高能物理 - 理论 · 物理学 2008-12-30 Eric A. Bergshoeff , Olaf Hohm

We consider the topological string partition function, including the Nekrasov deformation, for type IIB geometries with an A_{n-1} singularity over a Riemann surface. These models realize the N=2 SU(n) superconformal gauge systems recently…

高能物理 - 理论 · 物理学 2009-09-15 Robbert Dijkgraaf , Cumrun Vafa

The topological part of the M-theory partition function was shown by Witten to be encoded in the index of an E8 bundle in eleven dimensions. This partition function is, however, not automatically anomaly-free. We observe here that the…

高能物理 - 理论 · 物理学 2007-05-23 Igor Kriz , Hisham Sati

We explore the path integration -- upon the contour of hermitian (non-auxliary) field configurations -- of topologically twisted $\mathcal{N}=2$ Chern-Simons-matter theory (TTCSM) on $\mathbb{S}_2$ times a segment. In this way, we obtain…

高能物理 - 理论 · 物理学 2017-05-04 Alejandro Cabo-Bizet

We perform a topological-holomorphic twist of $\mathcal{N}=4$ supersymmetric gauge theory on a four-manifold of the form $M_4=\Sigma_1 \times \Sigma_2$ with Riemann surfaces $\Sigma_{1,2}$, and unravel the mathematical implications of its…

高能物理 - 理论 · 物理学 2024-05-31 Zhi-Cong Ong , Meng-Chwan Tan

We find explicit AdS4 solutions of massive type IIA with N=2 supersymmetry obtained deforming with a Roman mass the type IIA supersymmetric reduction of the M theory background AdS4 times M111. The family of solutions have SU(3) times SU(3)…

高能物理 - 理论 · 物理学 2009-10-02 Michela Petrini , Alberto Zaffaroni

We study exceptional algebroids in the context of warped compactifications of type IIA string theory down to $n$ dimensions, with $n\le 6$. In contrast to the M-theory and type IIB case, the relevant algebroids are no longer exact, and…

高能物理 - 理论 · 物理学 2024-12-02 Ondrej Hulik , Fridrich Valach

We calculate the entropy of 4-charge extremal black holes in Type IIA supersting theory by using Sen's entropy function method. Using the low energy effective actions in both $10D$ and 4D, we find precise agreements with the…

高能物理 - 理论 · 物理学 2008-11-26 Rong-Gen Cai , Da-Wei Pang

We study cosmological properties of type IIA compactifications on orientifolds of SU(3)-structure manifolds with non-vanishing geometric flux. These compactifications give rise to effective 4D N=1 supergravity theories that do not fall…

高能物理 - 理论 · 物理学 2009-04-17 Claudio Caviezel , Paul Koerber , Simon Kors , Dieter Lust , Timm Wrase , Marco Zagermann

Understanding the strong coupling limit of massive type IIA string theory is a longstanding problem. We argue that perhaps this problem does not exist; namely, there may be no strongly coupled solutions of the massive theory. We show…

高能物理 - 理论 · 物理学 2011-03-17 Ofer Aharony , Daniel Jafferis , Alessandro Tomasiello , Alberto Zaffaroni

We compute the topological partition function (twisted index) of $\mathcal{N}=2$ $U(N)$ Chern-Simons theory with an adjoint chiral multiplet on $\Sigma_g \times S^1$. The localization technique shows that the underlying Frobenius algebra is…

高能物理 - 理论 · 物理学 2019-03-27 Hiroaki Kanno , Katsuyuki Sugiyama , Yutaka Yoshida

Chern-Simons Theories with gauge super-groups appear naturally in string theory and they possess interesting applications in mathematics, e.g. for the construction of knot and link invariants. This paper is the first in a series where we…

高能物理 - 理论 · 物理学 2018-11-26 N. Aghaei , A. M. Gainutdinov , M. Pawelkiewicz , V. Schomerus

We report on the existence and phenomenology of type II critical collapse within the one-parameter family of SU(2) $\sigma$-models coupled to gravity. Numerical investigations in spherical symmetry show discretely self-similar (DSS)…

广义相对论与量子宇宙学 · 物理学 2016-08-15 Sascha Husa , Christiane Lechner , Michael Pürrer , Jonathan Thornburg , Peter C. Aichelburg

We perform a consistent reduction of 6d matter-coupled F(4) supergravity on a compact Riemann surface $\Sigma_\mathfrak{g}$ of genus $\mathfrak{g}$, at the level of the bosonic action. The result is an $\mathcal{N}=2$ gauged supergravity…

高能物理 - 理论 · 物理学 2021-11-05 Seyed Morteza Hosseini , Kiril Hristov