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The structure of S-duality in U(1) gauge theory on a 4-manifold M is examined using the formalism of noncommutative geometry. A noncommutative space is constructed from the algebra of Wilson-'t Hooft line operators which encodes both the…

High Energy Physics - Theory · Physics 2009-10-30 Fedele Lizzi , Richard J. Szabo

The "brane scan" classifies consistent Green--Schwarz strings and membranes in terms of the invariant cocycles on super-Minkowski spacetimes. The "brane bouquet" generalizes this by consecutively forming the invariant higher central…

High Energy Physics - Theory · Physics 2018-08-01 John Huerta , Urs Schreiber

We consider the D-branes that occur in IIA/IIB string theory compactified on a torus. We review how a general expression for the Wess-Zumino term of such branes is derived. We also review the method to determine the D-brane Wess-Zumino term…

High Energy Physics - Theory · Physics 2011-09-09 Eric A. Bergshoeff , Fabio Riccioni

We construct, following \cite{mpgm14,mpgm17}, a massive M2-brane (supermembrane) as the limit of a genus two M2-brane that becomes a twice punctured Riemann surface with particular boundary conditions on the fields defined on the punctures.…

High Energy Physics - Theory · Physics 2023-11-06 M. P. Garcia del Moral , P. Leon , A. Restuccia

The four dimensional gauged supergravities descending from non-geometric string compactifications involve a wide class of flux objects which are needed to make the theory invariant under duality transformations at the effective level.…

High Energy Physics - Theory · Physics 2009-02-20 Adolfo Guarino , George James Weatherill

These lectures begin by reviewing the evidence for S duality of the toroidally compactified heterotic string in 4d that was obtained in the period 1992--94. Next they review recently discovered dualities that relate all five of the 10d…

High Energy Physics - Theory · Physics 2010-11-19 John H. Schwarz

We construct new M-theory solutions starting from those that contain 5 U(1) isometries. We do this by reducing along one of the 5-torus directions, then T-dualizing via the action of an O(4,4) matrix and lifting back to 11-dimensions. The…

High Energy Physics - Theory · Physics 2009-12-15 Aybike Catal-Ozer , Nihat Sadik Deger

In the context of (0,2) gauged linear sigma models, we explore chains of perturbatively dual heterotic string compactifications. The notion of target space duality originates in non-geometric phases and can be used to generate distinct…

High Energy Physics - Theory · Physics 2017-02-01 Lara B. Anderson , He Feng

The conjectured symmetries of M-theory famously involve (1.) brane-extended super-symmetry (the M-algebra) and (2.) exceptional duality-symmetry (the $\mathfrak{e}_{11}$-algebra); but little attention has been given to their inevitable…

High Energy Physics - Theory · Physics 2024-12-19 Grigorios Giotopoulos , Hisham Sati , Urs Schreiber

We study pairs of 4d N=1 supersymmetric gauge theories that share the same vacuum moduli space and the same chiral field content, encoded by a common quiver, but differ in their superpotentials. These theories arise as worldvolume theories…

High Energy Physics - Theory · Physics 2026-01-30 Minsung Kho , Seong-Jin Lee , Rak-Kyeong Seong

We show that string theory on a compact negatively curved manifold, preserving a U(1)^{b_1} winding symmetry, grows at least b_1 new effective dimensions as the space shrinks. The winding currents yield a "D-dual" description of a Riemann…

High Energy Physics - Theory · Physics 2008-11-26 Daniel Green , Albion Lawrence , John McGreevy , David R. Morrison , Eva Silverstein

We examine T-duality transformations for supersymmetric strings with target space geometry with compact abelian isometries. We consider the partition function of these models and we show that although T-duality is not a symmetry, due to an…

High Energy Physics - Theory · Physics 2009-10-30 Alexandros Kehagias

We examine the equations of motion of double field theory and the duality manifest form of M-theory. We show the solutions of the equations of motion corresponding to null pp-waves correspond to strings or membranes from the usual spacetime…

High Energy Physics - Theory · Physics 2015-06-19 Joel Berkeley , David S. Berman , Felix J. Rudolph

M-theory is considered in its low-energy limit on a G_2 manifold with non-vanishing flux. Using the Killing spinor equations for linear flux, an explicit set of first-order bosonic equations for supersymmetric solutions is found. These…

High Energy Physics - Theory · Physics 2009-11-10 Thomas House , Andre Lukas

String compactifications with T-duality twists are revisited and the gauge algebra of the dimensionally reduced theories calculated. These reductions can be viewed as string theory on T-fold backgrounds, and can be formulated in a `doubled…

High Energy Physics - Theory · Physics 2009-12-15 C. M. Hull , R. A. Reid-Edwards

We obtain the bosonic D-brane description of toroidally compactified non-trivial M2-branes with the unique property of having a purely discrete supersymmetric regularized spectrum with finite multiplicity. As a byproduct, we generalize the…

High Energy Physics - Theory · Physics 2021-11-09 M. P. Garcia del Moral , C. Las Heras

In this letter we consider what happens to an M2-brane probe when Minkowski space is dimensionally reduced to a fluxbrane solution of IIA supergravity. Given that fluxbrane reductions generally break supersymmetry, we look at how…

High Energy Physics - Theory · Physics 2010-04-05 Jos Gheerardyn , Bert Janssen

Spectrum of elementary string states in type II string theory compactified on a torus contains short multiplets which are invariant under only one quarter of the space-time supersymmetry generators. $U$-duality transformation converts these…

High Energy Physics - Theory · Physics 2009-09-15 Ashoke Sen

We present "M5 algebra" to derive Courant brackets of the generalized geometry of $T\oplus \Lambda^2T^\ast \oplus \Lambda^5T^\ast$: The Courant bracket generates the generalized diffeomorphism including gauge transformations of three and…

High Energy Physics - Theory · Physics 2015-06-15 Machiko Hatsuda , Kiyoshi Kamimura

We consider a few ansatzs for the four and seven forms of 11-dimensional supergravity over AdS_4 x S^7/Z_k while try to keep the geometry unchanged. From the 4-form equations, we arrive at some massless scalars and pseudoscalars in the bulk…

High Energy Physics - Theory · Physics 2015-10-15 M. Naghdi
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