# Summer School in String Theory and Holography

## Past sessions

### Entanglement and holography

We will review the approach to study entanglement in quantum field theories using a dual gravitational description via the gauge/gravity duality.

### Holographic collisions

We will review the applications of the gauge/gravity duality to the study of high energy collisions.

### Localization in supersymmetric theories

We will give an introduction to the uses of localization techniques to compute exact results in supersymmetric theories.

### Sessão de divulgaçãoQuadratura da esfera: buracos negros, holografia, hidrodinâmica e turbulência

Stephen Hawking mostrou que os buracos negros afinal não são assim tão negros pois emitem radiação. Isto significa que buracos negros (pequenos) são objectos quânticos: pela primeira vez na física e na Natureza encontramos um sistema que tem de ser descrito por uma teoria que incorpore simultaneamente a gravidade de Einstein e a física quântica! Esta será uma teoria de gravidade quântica. Procurando esta teoria, nos últimos anos descobriu-se uma “dualidade holográfica”. Como a palavra sugere, esta dualidade projecta assimptoticamente num écran bidimensional quântico a informação gravitacional que vive no interior do volume tridimensional delimitado pelo écran. Não menos extraordinário, em certas condições (elevados comprimentos de onda e temperatura) a física quântica no écran holográfico tem uma descrição hidrodinâmica. Isto significa, por exemplo, que buracos negros se comportam como fluidos e bolas de sabão! Significa também que fenómenos de turbulência, como os que aparecem em furacões e vórtices, tem uma descrição dual em gravidade.

Nesta palestra faremos uma viagem na qual teremos a oportunidade de descrever pitorescamente estas ideias e observar vídeos de simulações numéricas em buracos negros que mostram as suas relações com fluidos e turbulência.

### Localization in supersymmetric theories

We will give an introduction to the uses of localization techniques to compute exact results in supersymmetric theories.

### Entanglement and holography

We will review the approach to study entanglement in quantum field theories using a dual gravitational description via the gauge/gravity duality.

### Holographic collisions

We will review the applications of the gauge/gravity duality to the study of high energy collisions.

### Localization in supersymmetric theories

We will give an introduction to the uses of localization techniques to compute exact results in supersymmetric theories.

### Entanglement and holography

We will review the approach to study entanglement in quantum field theories using a dual gravitational description via the gauge/gravity duality.

### Holographic collisions

We will review the applications of the gauge/gravity duality to the study of high energy collisions.

### Introduction to the AdS/CMT correspondence

We give an introduction to the AdS/CMT correspondence that relates quantum gravity in Anti-de Sitter spacetimes to Condensed Matter Theory.

### $$N=4$$ amplitudes

We present an overview of recent developments in the study of scattering amplitudes in quantum field theory with $$N=4$$ supersymmetry, from the point of view of twistor theory.

### Introduction to the AdS/CMT correspondence

We give an introduction to the AdS/CMT correspondence that relates quantum gravity in Anti-de Sitter spacetimes to Condensed Matter Theory.

### $$N=4$$ amplitudes

We present an overview of recent developments in the study of scattering amplitudes in quantum field theory with $$N=4$$ supersymmetry, from the point of view of twistor theory.

### $$N=4$$ amplitudes

We present an overview of recent development in the study of scattering amplitudes in quantum field theory with $$N=4$$ supersymmetry, from the point of view of perturbation theory.

### $$N=4$$ amplitudes

We present an overview of recent developments in the study of scattering amplitudes in quantum field theory with $$N=4$$ supersymmetry, from the point of view of perturbation theory.

### Introduction to the AdS/CMT correspondence

We give an introduction to the AdS/CMT correspondence that relates quantum gravity in Anti-de Sitter spacetimes to Condensed Matter Theory.