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The web of dual gauge theories engineered from a class of toric Calabi-Yau threefolds is explored. In previous work, we have argued for a triality structure by compiling evidence for the fact that every such manifold $X_{N,M}$ (for given…

High Energy Physics - Theory · Physics 2018-12-05 Brice Bastian , Stefan Hohenegger , Amer Iqbal , Soo-Jong Rey

We construct three-dimensional N=1 QED with N_f flavors using branes of type IIB string theory. This theory has a mirror, which can be realized using the S-dual brane configuration. As in examples with more supersymmetry, the Higgs branch…

High Energy Physics - Theory · Physics 2009-10-31 Martin Gremm , Emanuel Katz

Using a $U$-duality symmetry of type II compactification on $T^4$ represented by triality action on the $T$-duality group, and applying the adiabatic argument we construct dual pairs of type II compactifications in lower dimensions. The…

High Energy Physics - Theory · Physics 2009-09-15 Ashoke Sen , Cumrun Vafa

We classify all possible four-dimensional N=2 supersymmetric UV-complete gauge theories composed of semi-simple gauge groups and hypermultiplets. We also give appropriate references for all theories with known Seiberg-Witten solutions.

High Energy Physics - Theory · Physics 2019-06-03 Lakshya Bhardwaj , Yuji Tachikawa

We start by briefly reviewing the description of gravity theories as gauge theories in four dimensions. More specifically we recall the procedure leading to the results of General Relativity and Weyl Gravity in a gauge-theoretic manner.…

High Energy Physics - Theory · Physics 2020-04-13 G. Manolakos , P. Manousselis , G. Zoupanos

For further investigating the underlying structures of the D=3, N=4 Chern-Simons-matter (CSM) theories, we suggest a new concept and procedure for "fusing" two superalgebras into a single new superalgebra. The starting superalgebras may be…

High Energy Physics - Theory · Physics 2013-01-01 Fa-Min Chen , Yong-Shi Wu

We compare the mass spectra and string tensions of SU(2), SU(3) and SU(4) gauge theories in 2+1 dimensions. We find that the ratios of masses are, to a first approximation, independent of N and that the remaining dependence can be…

High Energy Physics - Lattice · Physics 2009-10-30 M. Teper

We review some of the properties of 3d N=4 theories obtained by dimensionally reducing theories of class S. We study 3d partition functions, and certain limits thereof, for such theories, and the properties implied for these by 3d mirror…

High Energy Physics - Theory · Physics 2015-06-19 Shlomo S. Razamat , Brian Willett

We show how Higgs mechanism for non-abelian N=2 gauge theories in four dimensions is geometrically realized in the context of type II strings as transitions among compactifications of Calabi-Yau threefolds. We use this result and T-duality…

High Energy Physics - Theory · Physics 2009-09-17 Kentaro Hori , Hirosi Ooguri , Cumrun Vafa

We compute the Lens space index for 4d supersymmetric gauge theories involving symplectic gauge groups. This index can distinguish between different gauge groups from a given algebra and it matches across theories related by supersymmetric…

High Energy Physics - Theory · Physics 2022-10-25 Antonio Amariti , Simone Rota

We show that 4D gauge theories with Green-Schwarz anomaly cancellation and possible generalized Chern-Simons terms admit a formulation that is manifestly covariant with respect to electric/magnetic duality transformations. This generalizes…

High Energy Physics - Theory · Physics 2009-02-07 Jan De Rydt , Torsten T. Schmidt , Mario Trigiante , Antoine Van Proeyen , Marco Zagermann

In this paper we consider 4d $\mathrm{SU}(N)$ gauge theories with $N+1$ fundamentals, five antifundamentals and a conjugate two index antisymmetric tensor. The model has been shown to be in a mixed phase in the IR, splitting in an…

High Energy Physics - Theory · Physics 2025-12-12 Antonio Amariti , Pietro Glorioso , Chiara Mascherpa , Andrea Zanetti

We show that the Higgs branch of a four-dimensional Yang-Mills theory, with gauge and matter content summarised by an E_8 quiver diagram, is identical to the generalised Coulomb branch of a four-dimensional superconformal strongly coupled…

High Energy Physics - Theory · Physics 2010-02-03 Cecilia Albertsson , Bjorn Brinne , Ulf Lindstrom , Rikard von Unge

It is pointed out the ${\cal N}=4$ supersymmetric gauge theory used in the anti-de Sitter holographic correspondence is required to be modified. The SL(2,Z) completion of the theory is required to map the correlators to string theory…

General Physics · Physics 2007-05-23 Gordon Chalmers

The weighted triangulation algebras associated to triangulation quivers and their socle deformations were recently introduced and studied in [15]-[20] and [2]. These algebras, based on surface triangulations and originated from the theory…

Representation Theory · Mathematics 2025-10-22 Andrzej Skowroński , Adam Skowyrski

We construct T-duality on K3 surfaces. The T-duality exchanges a 4-brane R-R charge and a 0-brane R-R charge. We study the action of the T-duality on the moduli space of 0-branes located at points of K3 and 4-branes wrapping it. We apply…

High Energy Physics - Theory · Physics 2009-09-29 Kentaro Hori , Yaron Oz

There are many physically interesting superconformal gauge theories in four dimensions. In this talk I discuss a common phenomenon in these theories: the existence of continuous families of infrared fixed points. Well-known examples include…

High Energy Physics - Theory · Physics 2011-04-15 Matthew J. Strassler

We work out Seiberg-like dualities for 3d $\mathcal{N}=2$ theories with SU(N) gauge group. We use the $SL(2,\mathbb{Z})$ action on 3d conformal field theories with U(1) global symmetry. One of generator S of $SL(2,\mathbb{Z})$ acts as…

High Energy Physics - Theory · Physics 2017-09-07 Jaemo Park , Kyung-Jae Park

We construct 4D $\mathcal{N}=2$ theories on an infinite family of 4D toric manifolds with the topology of connected sums of $S^2 \times S^2$. These theories are constructed through the dimensional reduction along a non-trivial $U(1)$-fiber…

High Energy Physics - Theory · Physics 2017-04-05 Guido Festuccia , Jian Qiu , Jacob Winding , Maxim Zabzine

We apply the technique of sequential deconfinement to the four dimensional $\mathcal{N}\!=\!1$ $Usp(2N)$ gauge theory with an antisymmetric field and $2F$ fundamentals. The fully deconfined frame is a length-$N$ quiver. We use this…

High Energy Physics - Theory · Physics 2022-10-31 Stephane Bajeot , Sergio Benvenuti