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If the second Betti number b_2 of a Sasaki-Einstein manifold Y^7 does not vanish, then M-theory on AdS_4 x Y^7 possesses "topological" U(1)^{b_2} gauge symmetry. The corresponding Abelian gauge fields come from three-form fluctuations with…

High Energy Physics - Theory · Physics 2015-03-14 Igor R. Klebanov , Silviu S. Pufu , Tiberiu Tesileanu

We begin with a discussion on two apparently disconnected topics - one related to nonperturbative superpotential generated from wrapping an M2-brane around a supersymmetric three cycle embedded in a G_2-manifold evaluated by the…

High Energy Physics - Theory · Physics 2009-11-10 Aalok Misra

We study D-branes wrapping an exceptional four-cycle P(1,a,b) in a blown-up C^3/Z_m non-compact Calabi-Yau threefold with (m;a,b)=(3;1,1), (4;1,2) and (6;2,3). In applying the method of local mirror symmetry we find that the Picard-Fuchs…

High Energy Physics - Theory · Physics 2009-10-31 Kenji Mohri , Yoko Onjo , Sung-Kil Yang

We introduce a geometric generalization of the O(N)-field theory that describes N-colored membranes with arbitrary dimension D. As the O(N)-model reduces in the limit N->0 to self-avoiding polymers, the N-colored manifold model leads to…

Condensed Matter · Physics 2009-07-10 Kay Joerg Wiese , Mehran Kardar

We present M-theory compactifications on $K_3 \times K_3$ with membranes near the $A_n$ or $D_n$ singularities of the $K_3$ spaces. By realizing each of these compactifications in two different ways as type I' models with 2- and 6-branes,…

High Energy Physics - Theory · Physics 2009-10-30 M. Porrati , A. Zaffaroni

We obtain a U(M) action for supermembranes with central charges in the Light Cone Gauge (LCG). The theory realizes all of the symmetries and constraints of the supermembrane together with the invariance under a U(M) gauge group with M…

High Energy Physics - Theory · Physics 2011-08-17 M. P. Garcia del Moral , A. Restuccia

We look at the strong field behavior of the Wang-Yau quasi-local energy. In particular, we examine the limit of the Wang-Yau quasi-local energy as the defining spacelike $2$-surface $\Sigma$ approaches an apparent horizon from outside.…

General Relativity and Quantum Cosmology · Physics 2026-01-06 Bowen Zhao , Lars Andersson , Shing-Tung Yau

Dimer models are 2-dimensional combinatorial systems that have been shown to encode the gauge groups, matter content and tree-level superpotential of the world-volume quiver gauge theories obtained by placing D3-branes at the tip of a…

High Energy Physics - Theory · Physics 2008-09-17 Bo Feng , Yang-Hui He , Kristian D. Kennaway , Cumrun Vafa

By applying mirror symmetry to D-branes in a Calabi-Yau geometry we shed light on a $G_2$ flop in M-theory relevant for large $N$ dualities in ${\cal N}=1$ supersymmetric gauge theories. Furthermore, we derive superpotential for M-theory on…

High Energy Physics - Theory · Physics 2009-11-07 Mina Aganagic , Cumrun Vafa

D-branes can end on orbifold planes if the action of the orbifold group includes (-1)^{F_L}. We consider configurations of D-branes ending on such orbifolds and study the low-energy theory on their worldvolume. We apply our results to gauge…

High Energy Physics - Theory · Physics 2010-02-03 Anton Kapustin

We discuss how to obtain an N=(2,2) supersymmetric SU(3) gauge theory in two dimensions via geometric engineering from a Calabi-Yau 4-fold and compute its non-perturbative twisted chiral potential. The relevant compact part of the 4-fold…

High Energy Physics - Theory · Physics 2009-10-31 Peter Kaste

We give a detailed derivation of a supersymmetric configuration of wrapped D5-branes on a two-cycle of a warped resolved conifold. Our analysis reveals that the resolved conifold should support a non-Kahler metric with an SU(3) structure.…

High Energy Physics - Theory · Physics 2011-08-25 Fang Chen , Keshav Dasgupta , Paul Franche , Sheldon Katz , Radu Tatar

We study normal functions capturing D-brane superpotentials on several one- and two-parameter Calabi-Yau hypersurfaces and complete intersections in weighted projective space. We calculate in the B-model and interpret the results using…

High Energy Physics - Theory · Physics 2009-10-06 Johannes Walcher

The M-theory lift for the supersymmetry breaking IIA brane configuration corresponding to the meta-stable state of N=1 unitary supersymmetric Yang-Mills theory with massive flavors was found by Bena et al(hep-th/0608157) recently. We extend…

High Energy Physics - Theory · Physics 2008-11-26 Changhyun Ahn

Brane brick models are Type IIA brane configurations that encode the $2d$ $\mathcal{N}=(0,2)$ gauge theories on the worldvolume of D1-branes probing toric Calabi-Yau 4-folds. We use mirror symmetry to improve our understanding of this…

High Energy Physics - Theory · Physics 2017-03-01 Sebastian Franco , Sangmin Lee , Rak-Kyeong Seong , Cumrun Vafa

We apply the methods recently developed for computation of type IIA disk instantons using mirror symmetry to a large class of D-branes wrapped over Lagrangian cycles of non-compact Calabi-Yau 3-folds. Along the way we clarify the notion of…

High Energy Physics - Theory · Physics 2015-06-25 Mina Aganagic , Albrecht Klemm , Cumrun Vafa

Mirror symmetry gives predictions for the genus zero Gromov-Witten invariants of a closed Calabi--Yau variety in terms of period integrals on a mirror family of Calabi-Yau varieties. We deduce an analogous mirror theorem for the open…

Symplectic Geometry · Mathematics 2024-12-03 Sebastian Haney

We construct the D3-brane dual to a $k$-quark of $\mathcal{N}=4$ super-Yang-Mills theory in the totally symmetric representation of $SU(N)$, undergoing arbitrary motion. Our method of construction generalizes previous work by Mikhailov, and…

High Energy Physics - Theory · Physics 2018-09-25 Bartomeu Fiol , Alberto Guijosa , Juan F. Pedraza

The dynamics of a probe D7-brane in an asymptotically AdS-Vaidya background has been investigated in the presence of an external magnetic field. Holographically, this is dual to the dynamical meson melting in the N = 2 super Yang-Milles…

High Energy Physics - Theory · Physics 2016-07-05 M. Ali-Akbari , F. Charmchi , A. Davody , H. Ebrahim , L. Shahkarami

The latest measurement of the K_S to gamma gamma branching ratio clearly shows an enhancement over the current theoretical prediction. As in other K and B meson decays, this invites to consider the possibility of the contribution of new…

High Energy Physics - Phenomenology · Physics 2009-11-11 Gabriel Sanchez-Colon , Augusto Garcia