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We construct invertible field theories generalizing abelian prequantum spin Chern-Simons theory to manifolds of dimension 4k+3 endowed with a Wu structure of degree 2k+2. After analysing the anomalies of a certain discrete symmetry, we…

数学物理 · 物理学 2018-08-13 Samuel Monnier

We construct an $\mathcal{N}=2$ supersymmetric gauged quantum mechanics, by starting from the 3d Chern-Simons-matter theory holographically dual to massive Type IIA string theory on AdS$_4 \times S^6$, and Kaluza-Klein reducing on $S^2$…

高能物理 - 理论 · 物理学 2023-09-06 Francesco Benini , Saman Soltani , Ziruo Zhang

Massive type IIA supergravity is shown to admit a consistent truncation on the six-sphere to maximal supergravity in four dimensions with a dyonic ISO(7) gauging. We obtain the complete, non-linear embedding of all the $D=4$ fields into the…

高能物理 - 理论 · 物理学 2016-01-27 Adolfo Guarino , Oscar Varela

We evaluate the topologically twisted index of a general four-dimensional $\mathcal{N} = 1$ gauge theory in the "high-temperature" limit. The index is the partition function for $\mathcal{N} = 1$ theories on $S^2 \times T^2$, with a partial…

高能物理 - 理论 · 物理学 2018-10-24 Seyed Morteza Hosseini , Anton Nedelin , Alberto Zaffaroni

The $R^2 F^{2g-2}$ terms of Type IIA strings on Calabi-Yau 3-folds, which are given by the corresponding topological string amplitudes (a worldsheet instanton sum for all genera), are shown to have a simple M-theory interpretation. In…

高能物理 - 理论 · 物理学 2007-05-23 Rajesh Gopakumar , Cumrun Vafa

We examine the topologically twisted index of $\mathcal N=4$ super-Yang-Mills with gauge group $SU(N)$ on $T^2\times S^2$, and demonstrate that it receives contributions from multiple sectors corresponding to the freely acting orbifolds…

高能物理 - 理论 · 物理学 2018-08-01 Junho Hong , James T. Liu

We give a worldsheet proof of the equivalence between the U(N) Chern-Simons gauge theory on S^3 and the topological closed string theory on the resolved conifold geometry. When the `t Hooft coupling of the gauge theory is small, the dual…

高能物理 - 理论 · 物理学 2008-11-26 Hirosi Ooguri , Cumrun Vafa

We discuss 3d $\mathcal{N}=1$ supersymmetric SU(N) and U(N) Chern-Simons-matter theories, with $N_f$ matter superfields in the fundamental representation of SU(N) or U(N). In the large N 't Hooft limit with fixed 't Hooft coupling $\lambda$…

高能物理 - 理论 · 物理学 2019-09-04 Ofer Aharony , Adar Sharon

Topological superconductors are characterized by topological invariants that describe the number and nature of their robust boundary modes. These invariants must also have observable consequences in the bulk of the system, akin to the…

介观与纳米尺度物理 · 物理学 2018-10-16 Omri Golan , Ady Stern

We construct and study a new topological field theory in three dimensions. It is a hybrid between Chern-Simons and Rozansky-Witten theory and can be regarded as a topologically-twisted version of the N=4 d=3 supersymmetric gauge theory…

高能物理 - 理论 · 物理学 2015-05-13 Anton Kapustin , Natalia Saulina

We provide quantitative evidence for our previous conjecture which states an equivalence of the partition function of a 3d N=2 gauge theory on a duality wall and that of the SL(2,R) Chern-Simons theory on a mapping torus, for a class of…

高能物理 - 理论 · 物理学 2013-08-09 Yuji Terashima , Masahito Yamazaki

We study compactifications of type IIA supergravity on cosets exhibiting SU(3) structure. We establish the consistency of the truncation based on left-invariance, providing a justification for the choice of expansion forms which yields…

高能物理 - 理论 · 物理学 2014-11-18 Davide Cassani , Amir-Kian Kashani-Poor

We describe the coupling of holomorphic Chern-Simons theory at large N with Kodaira-Spencer gravity. We explain a new anomaly cancellation mechanism at all loops in perturbation theory for open-closed topological B-model. At one loop this…

高能物理 - 理论 · 物理学 2020-01-07 Kevin Costello , Si Li

We couple Chern-Simons gauge theory to 3-dimensional topological gravity with the aim of investigating its quantum topological invariance. We derive the relevant BRST rules and Batalin-Vilkovisky action. Standard BRST transformations of the…

高能物理 - 理论 · 物理学 2009-11-09 Camillo Imbimbo

We use the Dijkgraaf-Vafa technique to study massive vacua of 6D SU(N) SYM theories on tori with R-symmetry twists. One finds a matrix model living on the compactification torus with a genus 2 spectral curve. The Jacobian of this curve is…

高能物理 - 理论 · 物理学 2008-11-26 Surya Ganguli , Ori J. Ganor , James A. Gill

Motivated by developments in vectorlike holography, we study SU(N) Chern-Simons theory coupled to matter fields in the fundamental representation on various spatial manifolds. On the spatial torus T^2, we find light states at small `t Hooft…

高能物理 - 理论 · 物理学 2017-02-21 Shamik Banerjee , Simeon Hellerman , Jonathan Maltz , Stephen H. Shenker

We study Wilson loop operators in three-dimensional, N=6 superconformal Chern-Simons theory dual to IIA superstring theory on AdS4 x CP3. Novelty of Wilson loop operators in this theory is that, for a given contour, there are two linear…

高能物理 - 理论 · 物理学 2009-03-27 Soo-Jong Rey , Takao Suyama , Satoshi Yamaguchi

We study the topological entanglement negativity between two spatial regions in (2+1)-dimensional Chern-Simons gauge theories by using the replica trick and the surgery method. For a bipartitioned or tripartitioned spatial manifold, we show…

强关联电子 · 物理学 2016-09-06 Xueda Wen , Po-Yao Chang , Shinsei Ryu

We present a new supersymmetric index for three-dimensional ${\cal N}=2$ gauge theories defined on $\Sigma \times S^1$, where $\Sigma$ is a spindle, with twist or anti-twist for the $R$-symmetry background gauge field. We start examining…

高能物理 - 理论 · 物理学 2024-02-20 Matteo Inglese , Dario Martelli , Antonio Pittelli

We compute a certain index for an N=4 Chern-Simons theory with gauge group U(N)^r in the large N limit with taking account of monopole contribution, and compare it to the corresponding multi-particle index for M-theory in the dual geometry…

高能物理 - 理论 · 物理学 2009-12-04 Yosuke Imamura , Shuichi Yokoyama