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These notes represent approximately one semester's worth of lectures on introductory general relativity for beginning graduate students in physics. Topics include manifolds, Riemannian geometry, Einstein's equations, and three applications:…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Sean M. Carroll

In String Theory there often appears a rather interesting class of higher derivative theories containing an infinite set of derivatives in the form of an exponential. These theories may provide a way to tame ultraviolet divergences without…

General Relativity and Quantum Cosmology · Physics 2015-02-23 Tirthabir Biswas , Spyridon Talaganis

String theory is arguably the best candidate for a theory of quantum gravity and unified interactions. Reconciling Einstein's theory of General Relativity with Quantum Mechanics. The theory however is best understood on Minkowski and…

High Energy Physics - Theory · Physics 2013-10-14 Jonathan Maltz

In this talk I review recent developments in superstring theory. In the first half of the talk I discuss some of the earlier developments in this subject. This includes a review of the status of string theory as a unified theory of gravity…

High Energy Physics - Phenomenology · Physics 2007-05-23 Ashoke Sen

A review is given of recent research on two-dimensional gauge theories, with particular emphasis on the equivalence between these theories and certain string theories with a two-dimensional target space. Some related open problems are…

High Energy Physics - Theory · Physics 2007-05-23 D. J. Gross , W. Taylor

This is an introduction to the microscopic techniques of non-rational bulk and boundary conformal field theory which are needed to describe strings moving in non-compact curved backgrounds. The latter arise e.g. in the context of…

High Energy Physics - Theory · Physics 2008-11-26 Volker Schomerus

String Quantum Gravity is motivated and introduced. Advances in the study of the classical and quantum string dynamics in curved spacetime are reported: 1-New Classes of Exact Multistring solutions in curved spacetimes. 2-Mass spectrum of…

High Energy Physics - Theory · Physics 2007-05-23 Norma G. Sanchez

Contents of Part 1: 1. Status of the Standard Model(P.H. Frampton), 2. Cosmological Constraints from MBA and Polarization (A. Melchiorri), 3. AdS/CFT Correspondence and Unification at About 4 TeV (P.H. Frampton), 4. New Solutions in String…

High Energy Physics - Phenomenology · Physics 2007-05-23 P. H. Frampton , A. Melchiorri , L. Bonora , A. Borstnik Bracic , N. Mankoc Borstnik , H. B. Nielsen , C. D. Froggatt , Q. Shafi , E. Alvarez , F. Lizzi

In these lecture notes, we provide an introduction to the moduli space of Riemann surfaces, a fundamental concept in the theories of 2D quantum gravity, topological string theory, and matrix models. We begin by reviewing some basic results…

Algebraic Geometry · Mathematics 2026-03-02 Alessandro Giacchetto , Danilo Lewański

We present a new framework for a Lagrangian description of conformal field theories in various dimensions based on a local version of d+2-dimensional conformal space. The results include a true gauge theory of conformal gravity in d=(1,3)…

High Energy Physics - Theory · Physics 2009-10-31 C. R. Preitschopf , M. A. Vasiliev

These are extended lecture notes of the quantum mechanics course which I am teaching in the Weizmann Institute of Science graduate physics program. They cover the topics listed below. The first four chapter are posted here. Their content is…

Quantum Physics · Physics 2023-04-11 Shimon Levit

We discuss various aspects of the calculation of correlation functions in conformal theories coupled to quantized 2-dimensional gravity. The main emphasis lies on the construction of a continuation in the number of insertions of the…

High Energy Physics - Theory · Physics 2007-05-23 H. Dorn , H. -J. Otto

These lectures provide an introduction to lattice methods for nonperturbative studies of quantum field theories, with an emphasis on Quantum Chromodynamics. Lecture 1 (Ch. 2): gauge field basics Lecture 2 (Ch. 3): Abelian duality with a…

High Energy Physics - Theory · Physics 2007-05-23 T. DeGrand

These are the lecture notes for a short course in topological string theory that I gave at Uppsala University in the fall of 2004. The notes are aimed at PhD students who have studied quantum field theory and general relativity, and who…

High Energy Physics - Theory · Physics 2007-05-23 Marcel Vonk

We discuss the possible applications of string theory for the construction of generalizations of the $SU(3)\times SU(2)\times U(1)$ standard model of strong and electroweak interactions. This includes an investigation of effective $d=4$…

High Energy Physics - Phenomenology · Physics 2007-05-23 Hans Peter Nilles

The first lecture gives a colloquium-level overview of string theory and M-theory. The second lecture surveys various attempts to construct a viable model of particle physics. A recently proposed approach, based on F-theory, is emphasized.

High Energy Physics - Theory · Physics 2011-03-14 John H. Schwarz

These lectures are an introduction to gauge/gravity duality, presented at TASI 2010. The first three sections present the basics, focusing on $AdS_5 \times S^5$. The last section surveys a variety of ways to generate duals of reduced…

High Energy Physics - Theory · Physics 2010-11-01 Joseph Polchinski

The first massive level of closed bosonic string theory is studied. Free-field equations are derived by imposing Weyl invariance on the world sheet. A two-parameter solution to the equation of motion and constraints is found in two…

High Energy Physics - Theory · Physics 2009-10-31 Andy Wilkins

Double Field Theory (DFT) is a proposal to incorporate T-duality, a distinctive symmetry of string theory, as a symmetry of a field theory defined on a double configuration space. The aim of this review is to provide a pedagogical…

High Energy Physics - Theory · Physics 2013-08-13 Gerardo Aldazabal , Diego Marques , Carmen Nunez

We give a lightning introduction to critical string theory, including the 26-dimensional bosonic string, the 10-dimensional superstrings and heterotic strings with and without spacetime supersymmetry. We also discuss open strings and…

High Energy Physics - Theory · Physics 2025-10-28 Carlo Angelantonj , Ioannis Florakis