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In these lecture notes from Strings `91, I briefly sketch the analogy between two dimensional black holes and the s-wave sector of four dimensional black holes, and the physical interest of the latter, particularly in the magnetically…

高能物理 - 理论 · 物理学 2012-06-03 Edward Witten

In this paper we consider the four dimensional N=2 supergravity theory arising from the compactification of type IIA string theory on a Calabi-Yau manifold. We analyse the supersymmetric flow equations for static, spherically symmetric,…

高能物理 - 理论 · 物理学 2016-06-01 Taniya Mandal , Prasanta K. Tripathy

In this note we construct large ensembles of supersymmetry breaking solutions arising in the context of flux compactifications of type IIB string theory. This class of solutions was previously proposed in arXiv:hep-th/0402135 for which we…

高能物理 - 理论 · 物理学 2023-08-31 Sven Krippendorf , Andreas Schachner

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…

高能物理 - 理论 · 物理学 2010-11-19 John H. Schwarz

We give necessary conditions for the existence of perturbative heterotic and common sector type II string warped compactifications preserving four and eight supersymmetries to four spacetime dimensions, respectively. In particular, we find…

高能物理 - 理论 · 物理学 2009-10-09 S. Ivanov , G. Papadopoulos

Type II string theory compactified on a Calabi-Yau manifold, with a singularity modeled by a hypersurface in an orbifold, is considered. In the limit of vanishing string coupling, one expects a non gravitational theory concentrated at the…

高能物理 - 理论 · 物理学 2010-02-03 Oskar Pelc

We study Calabi-Yau compactifications of non relativistic string theory and show that it can be derived from the corresponding relativistic Calabi-Yau compactifications by taking the non relativistic limit of the resulting 4D theory without…

高能物理 - 理论 · 物理学 2023-01-10 Poula Tadros , Iiro Vilja

These notes consist of a study of special Lagrangian submanifolds of Calabi-Yau manifolds and their moduli spaces. The particular case of three dimensions, important in string theory, allows us to introduce the notion of gerbes. These offer…

微分几何 · 数学 2007-05-23 Nigel Hitchin

This is a very brief survey of some results in the geometry of string duality delivered at a lecture given at ICM 1998, Berlin. String Duality is the statement that one kind of string theory compactified on one space is equivalent in some…

代数几何 · 数学 2007-05-23 Paul S. Aspinwall

We study the structure of warped compactifications of type IIB string theory to six space-time dimensions. We find that the most general four-manifold describing the internal dimensions is conformal to a Kahler manifold, in contrast with…

高能物理 - 理论 · 物理学 2010-04-05 Katrin Becker , Li-Sheng Tseng

We show how enhanced gauge symmetry in type II string theory compactified on a Calabi--Yau threefold arises from singularities in the geometry of the target space. When the target space of the type IIA string acquires a genus $g$ curve $C$…

高能物理 - 理论 · 物理学 2011-10-11 Sheldon Katz , David R. Morrison , M. Ronen Plesser

Synopsis: (i) how superstring theories are unified by M-theory; (ii) how superstring and supermembrane properties follow from the D=10 and D=11 supersymmetry algebras; (iii) how D=10 and D=11 supergravity theories determine the strong…

高能物理 - 理论 · 物理学 2008-02-03 P. K. Townsend

This thesis is concerned with a realisation of topological theories in terms of statistical models known as Calabi-Yau crystals. The thesis starts with an introduction and review of topological field and string theories. Subsequently…

高能物理 - 理论 · 物理学 2007-12-14 Piotr Sułkowski

Starting from type IIB string theory on an $ADE$ singularity, the $(2,0)$ little string arises when one takes the string coupling $g_s$ to 0. In this setup, we give a unified description of the codimension-two defects of the little string,…

高能物理 - 理论 · 物理学 2024-10-01 Nathan Haouzi , Can Kozçaz

We construct supersymmetric $\mathrm{AdS}_4$ vacua of type IIB string theory in compactifications on orientifolds of Calabi-Yau threefold hypersurfaces. We first find explicit orientifolds and quantized fluxes for which the superpotential…

高能物理 - 理论 · 物理学 2022-01-12 Mehmet Demirtas , Manki Kim , Liam McAllister , Jakob Moritz , Andres Rios-Tascon

In this talk we discuss two classes of examples of warped products of AdS spaces in the context of the AdS/CFT correspondence. The first class of examples appears in the construction of dual Type I' string descriptions to five dimensional…

高能物理 - 理论 · 物理学 2009-09-25 Yaron Oz

This is a revised and shortened version of a MSc thesis submitted to the University of Sussex, UK. An introduction into the pre-string physics of black holes and related thermodynamics is given. Then, starting with an introduction of how…

高能物理 - 理论 · 物理学 2007-05-23 Sascha Vongehr

The entropy of the three-charge NS5-F1-P black hole in Type IIA string theory comes from the breaking of $N_1$ F1 strings into $N_1 N_5$ little strings, which become independent momentum carriers. In M theory, the little strings correspond…

高能物理 - 理论 · 物理学 2023-04-12 Iosif Bena , Shaun D. Hampton , Anthony Houppe , Yixuan Li , Dimitrios Toulikas

At low energies, interactions of massless particles in type II strings compactified on a torus $T^d$ are described by an effective Wilsonian action $\mathcal{S}(\Lambda)$, consisting of the usual supergravity Lagrangian supplemented by an…

高能物理 - 理论 · 物理学 2019-03-27 Boris Pioline

We search for $N=2$, $d=4$ theories which can be realized both as heterotic string compactifications on $K_{3}\times T^{2}$ and as type II string compactifications on Calabi-Yau threefolds. In such cases, the exact non-perturbative…

高能物理 - 理论 · 物理学 2009-07-09 Shamit Kachru , Cumrun Vafa