Non-relativistic holography
Non-relativistic holography
 
  We consider holography for d-dimensional scale invariant but non-Lorentz invariant field theories, which do not admit the full Schrodinger symmetry group. We find new realizations of the corresponding (d+1)-dimensional gravity duals, engineered with a variety of matter Lagrangians, and their finite temperature generalizations. The thermodynamic properties of the finite temperature backgrounds are precisely those expected for anisotropic, scale invariant field theories. The brane and string theory realizations of such backgrounds are briefly discussed, along with their holographic interpretationin terms of marginal but non Lorentz invariant deformations of conformal field theories. We initiate discussion of holographic renormalization in these backgrounds, and note that such systematic renormalization is necessary to obtain the correct behavior of correlation functions.
  
  
    
      Taylor, Marika
      
        5515acab-1bed-4607-855a-9e04252aec22
      
     
  
  
   
  
  
    
    
  
  
    
      Taylor, Marika
      
        5515acab-1bed-4607-855a-9e04252aec22
      
     
  
       
    
 
  
    
      
  
  
  
  
  
  
    Taylor, Marika
  
  
  
  
   
    (2008)
  
  
    
    Non-relativistic holography.
  
  
  
  
    Pre-print.
  
   
  
  
   
  
  
  
  
    (Submitted) 
  
  
   
  
    
      
        
          Abstract
          We consider holography for d-dimensional scale invariant but non-Lorentz invariant field theories, which do not admit the full Schrodinger symmetry group. We find new realizations of the corresponding (d+1)-dimensional gravity duals, engineered with a variety of matter Lagrangians, and their finite temperature generalizations. The thermodynamic properties of the finite temperature backgrounds are precisely those expected for anisotropic, scale invariant field theories. The brane and string theory realizations of such backgrounds are briefly discussed, along with their holographic interpretationin terms of marginal but non Lorentz invariant deformations of conformal field theories. We initiate discussion of holographic renormalization in these backgrounds, and note that such systematic renormalization is necessary to obtain the correct behavior of correlation functions.
        
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      Submitted date: 2 December 2008
 
    
  
  
    
  
    
     
        Additional Information:
        arXiv:0812.0530
      
    
  
    
  
    
  
    
  
    
  
    
     
        Organisations:
        Applied Mathematics
      
    
  
    
  
  
  
    
  
  
        Identifiers
        Local EPrints ID: 349127
        URI: http://eprints.soton.ac.uk/id/eprint/349127
        
        
        
        
          PURE UUID: 19023d94-724e-4b1b-b5b1-5da441765e52
        
  
    
        
          
            
              
            
          
        
    
  
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  Date deposited: 26 Feb 2013 14:32
  Last modified: 11 Dec 2021 04:36
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