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Abstract We consider Type IIB 5-brane configurations for 5d rank 2 superconformal theories which are classified recently by geometry in [1]. We propose all the 5-brane web diagrams for these rank 2 theories and show dualities between some of different gauge theories with explicit duality map of mass parameters and Coulomb branch moduli. In particular, we explicitly construct 5...

, Korea
8 ory, Field Theories in Higher Dimensions
9 **Hirotaka** **Hayashi**
10 University of Electronic Science and Technology of China , Chengdu 611731 , China
11 North Jianshe Road , Chengdu 611731 , China
12

We propose a new prescription for computing the Nekrasov partition functions of five-dimensional theories with eight supercharges realized by gauging non-perturbative flavor symmetries of three five-dimensional superconformal field theories. The topological vertex formalism gives a way to compute the partition functions of the matter theories with flavor instanton backgrounds...

We consider 5d \( \mathcal{N} \) = 1 Sp(1) gauge theory based on a brane configuration with an O5-plane. At the UV fixed point, the theory with no matter enjoys enhanced global symmetry SU(2) or U(1) depending on the discrete theta angle θ = 0, π (mod 2π). A naive brane configuration with an O5-plane, however, does not distinguish two different theories, as it describes the weak...

Abstract We consider the computation of the topological string partition function for 5-brane web diagrams with an O7−-plane. Since upon quantum resolution of the orientifold plane these diagrams become non-toric web diagrams without the orientifold we are able to apply the topological vertex to obtain the Nekrasov partition function of the corresponding 5d theory. We apply this...

String theory provides us with 8d supersymmetric gauge theory with gauge algebras \( \mathfrak{s}\mathfrak{u}(N),\mathfrak{s}\mathfrak{o}(2N),\mathfrak{s}\mathfrak{p}(N),{\mathfrak{e}}_6,{\mathfrak{e}}_7\kern0.5em \mathrm{and}\kern0.5em {\mathfrak{e}}_8 \), but no construction for \( \mathfrak{so}\left(2N+1\right) \), \( {\mathfrak{f}}_4 \) and \( {\mathfrak{g}}_2 \) is known. In...

We consider mixed branches of 3d \( \mathcal{N} \) = 4 T [SU(N )] theory. We compute the Hilbert series of the Coulomb branch part of the mixed branch from a restriction rule acting on the Hilbert series of the full Coulomb branch that will truncate the magnetic charge summation only to the subset of BPS dressed monopole operators that arise in the Coulomb branch sublocus where...

This paper introduces a new direction-of-arrival (DOA) estimation method for wideband signal sources. The new method estimates the DOA of wideband signal sources based on squared test of orthogonality of projected subspaces (Squared TOPS) which is an improved method of TOPS. TOPS and Squared TOPS use the signal and noise subspaces of multiple frequency components of wideband...

We show that the three different looking BPS partition functions, namely the elliptic genus of the 6d \( \mathcal{N}=\left(1,\ 0\right) \) Sp(1) gauge theory with 10 flavors and a tensor multiplet, the Nekrasov partition function of the 5d \( \mathcal{N}=1\ \mathrm{S}\mathrm{p}(2) \) gauge theory with 10 flavors, and the Nekrasov partition function of the 5d \( \mathcal{N}=1...

Abstract We propose new five-dimensional gauge theory descriptions of six-dimensional \( \mathcal{N} \) = (1,0) superconformal field theories arising from type IIA brane configurations includ-ing an ON 0-plane. The new five-dimensional gauge theories may have SO, Sp, and SU gauge groups and further broaden the landscape of ultraviolet complete five-dimensional \( \mathcal{N...

We analyse the computation of the partition function of 5d T N theories in Higgs branches using the topological vertex. The theories are realised by a web of (p, q) 5-branes whose dual description may be given by an M-theory compactification on a certain local non-toric Calabi-Yau threefold. We explicitly show how it is possible to directly apply the topological vertex to the non...

We present a general prescription by which we can systematically compute exact partition functions of five-dimensional supersymmetric theories which arise in Higgs branches of the T N theory. The theories may be realised by webs of 5-branes whose dual geometries are non-toric. We have checked our method by calculating the partition functions of the theories realised in various...

The T N theory is a non-Lagrangian theory with SU(N)3 flavor symmetry. We argue that when mass terms are given so that two of SU(N)’s are both broken to SU(N −1)×U(1), it becomes T N −1 theory coupled to an SU(N −1) vector multiplet together with N fundamentals. This implies that when two of SU(N)’s are both broken to U(1) N −1, the theory becomes a linear quiver. We perform...

Abstract We propose a new 5d description of the circle-compactified 6d (D N + 4 , D N + 4) minimal conformal matter theory which can be approached by the 6d \( \mathcal{N}=\left(1,0\right) \) Sp(N) gauge theory with N f = 2N + 8 flavors and one tensor multiplet. Compactifying the brane set-up for the 6d theory, we arrive at a 5-brane Tao diagram for 5d \( \mathcal{N}=1 \) SU(N...

We evaluate the Nekrasov partition function of 5d gauge theories engineered by webs of 5-branes, using the refined topological vertex on the dual Calabi-Yau three-folds. The theories include certain non-Lagrangian theories such as the T N theory. The refined topological vertex computation generically contains contributions from decoupled M2-branes which are not charged under the...

We determine the higher codimension fibers of elliptically fibered Calabi-Yau fourfolds with section by studying the three-dimensional \( \mathcal{N} \) = 2 supersymmetric gauge theory with matter which describes the low energy effective theory of M-theory compactified on the associated Weierstrass model, a singular model of the fourfold. Each phase of the Coulomb branch of this...

We work out the exact in g s and perturbatively exact in α′ result for the vector multiplet moduli Kähler potential in a specific \( \mathcal{N} \) = 2 compactification of F-theory. The well-known α ′3 correction is absent, but there is a rich structure of corrections at all even orders in α ′ . Moreover, each of these orders independently displays an SL(2, \( \mathbb{Z...