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Avinash Singh and Bhowar Gupta
Kalinga Institute Of Industrial Technology
                    Bhubaneshwar,Orissa
          Einstein: A Century of Relativity
                              IISC Kolkata
                            March 5, 2011
What is String Theory?




29 January 2005   Einstein: A Century of Relativity   Feng   2
Outline
   String Theory
     A Theory looking for observations.
     The D-Brane revolution.
     What is the String Scale?
   Inflation
     Cosmic initial conditions and fluctuations.
     Phenomenology looking for a theory.
   Inflation in String Theory?
     Braneless attempts.
     Brane Inflation?
   Outlook

                            Strings and Inflation   3
small                  Classical Physics (1687)                 heavy
                                                      fast




Quantum Mechanics (1905)                      Special Relativity (1905)                        General Relativity (1915)




                    Quantum Field Theory (1940’s)                                    ?
                                                                                 String Theory ?

  29 January 2005                            Einstein: A Century of Relativity                                      Feng   4
In String Theory, Particles are Strings

    Different Vibrations                                String Combinations 
      Different Particles                                 Particle Interactions




   up              down
                           electron
  quark            quark



   String theory realizes Einstein’s dream of a unified theory


 29 January 2005                 Einstein: A Century of Relativity                Feng   5
Extra Dimensions

   (x, y, z, t) + w, v,…? Science fiction?

   No – a major topic in science today:
                  What is our world made of?
                  How does gravity work?

   How did this happen?


29 January 2005            Einstein: A Century of Relativity   Feng   6
Extra Dimensions
   Suppose our world is only a slice of the whole universe




29 January 2005          Einstein: A Century of Relativity    Feng   7
Structure of Extra Dimensions

   The properties of the internal space
    determine the low energy data, such as the
    spectrum of particles and their interactions.
String dualities
      Strings are very useful objects to consider at weak coupling
      We like strings because they can deal with graviton exchange    E. Witten
      Degrees of freedom can change; e.g. consider water and ice
      Something similar happens in string theory; at strong coupling dream
                                                                    A
       new (weakly coupled) degrees of freedom can be used in an   come true!
       approximate description
      This phenomenon is generally called a duality
        Particle/wave duality
        Strong/weak coupling duality (electric/magnetic)




    12/15/01                      Saturday Morning Physics                     9
Standard Model of Particle Physics:
The Modern Theory of Matter




 29 January 2005   Einstein: A Century of Relativity   Feng   11
Elementary Particles and Interactions




 29 January 2005   Einstein: A Century of Relativity   Feng   12
Albert Einsten




              1915: Spacetime is an active player:
                 curves, expands, shrinks, …
29 January 2005            Einstein: A Century of Relativity   Feng   13
The Big Bang
    The universe does not
     expand into space –
     space itself expands

    Extrapolating back, space
     was small – the Big Bang


• Other dimensions could exist but still be small. String
  theory requires 6 extra dimensions.

• How can we test this possibility?

29 January 2005          Einstein: A Century of Relativity   Feng   14
Small Dimensions

   Suppose all particles propagate in extra
    dimensions, but these are curled up in circles.

   We will not notice them if the circles are very small.



                  Garden hose




29 January 2005                 Einstein: A Century of Relativity   Feng   15
   A lot of dark matter is
    required to hold
    galaxies together

   It cannot all be made of
    known particles

   It must be some new
    form of matter – maybe
    a sign of extra
    dimensions!


29 January 2005               Einstein: A Century of Relativity   Feng   16
Dark Matter at Colliders
Large Hadron Collider at CERN, Geneva




   29 January 2005      Einstein: A Century of Relativity   Feng   17
Strong Gravity and Black Holes




29 January 2005   Einstein: A Century of Relativity   Feng   18
Gravity
 Gravity is the least understood force.
 Many deep problems, but one obvious one:


Gravity is extraordinarily
weak. It is important in
everyday life only
because it is always
attractive.

 29 January 2005   Einstein: A Century of Relativity   Feng   19
Strong Gravity
     In this case, gravity may be strong but appear
      weak only because its strength is diluted by
      extra dimensions.

     Fgravity ~ 1/r 2+n for small lengths, where n is
      the number of extra dimensions. Can this be
      true?



29 January 2005        Einstein: A Century of Relativity   Feng   20
What is M-
                 theory?
                                      Membrane, Mystery, M
                                       other, Magic, …



                                                   Membranes
                           Eleven dimensions
                                      String theory
                              P-branes

           P.K. Townsend: “Pea brain democracy!”
12/15/01                Saturday Morning Physics               21
7 + 7 TeV proton – proton collider
….…..and a classic ending.




           Strings and Inflation   24

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Einstein M Theory , String Theory and The Future

  • 1. Avinash Singh and Bhowar Gupta Kalinga Institute Of Industrial Technology Bhubaneshwar,Orissa Einstein: A Century of Relativity IISC Kolkata March 5, 2011
  • 2. What is String Theory? 29 January 2005 Einstein: A Century of Relativity Feng 2
  • 3. Outline  String Theory  A Theory looking for observations.  The D-Brane revolution.  What is the String Scale?  Inflation  Cosmic initial conditions and fluctuations.  Phenomenology looking for a theory.  Inflation in String Theory?  Braneless attempts.  Brane Inflation?  Outlook Strings and Inflation 3
  • 4. small Classical Physics (1687) heavy fast Quantum Mechanics (1905) Special Relativity (1905) General Relativity (1915) Quantum Field Theory (1940’s) ? String Theory ? 29 January 2005 Einstein: A Century of Relativity Feng 4
  • 5. In String Theory, Particles are Strings Different Vibrations  String Combinations  Different Particles Particle Interactions up down electron quark quark String theory realizes Einstein’s dream of a unified theory 29 January 2005 Einstein: A Century of Relativity Feng 5
  • 6. Extra Dimensions  (x, y, z, t) + w, v,…? Science fiction?  No – a major topic in science today: What is our world made of? How does gravity work?  How did this happen? 29 January 2005 Einstein: A Century of Relativity Feng 6
  • 7. Extra Dimensions  Suppose our world is only a slice of the whole universe 29 January 2005 Einstein: A Century of Relativity Feng 7
  • 8. Structure of Extra Dimensions  The properties of the internal space determine the low energy data, such as the spectrum of particles and their interactions.
  • 9. String dualities  Strings are very useful objects to consider at weak coupling  We like strings because they can deal with graviton exchange E. Witten  Degrees of freedom can change; e.g. consider water and ice  Something similar happens in string theory; at strong coupling dream A new (weakly coupled) degrees of freedom can be used in an come true! approximate description  This phenomenon is generally called a duality  Particle/wave duality  Strong/weak coupling duality (electric/magnetic) 12/15/01 Saturday Morning Physics 9
  • 10.
  • 11. Standard Model of Particle Physics: The Modern Theory of Matter 29 January 2005 Einstein: A Century of Relativity Feng 11
  • 12. Elementary Particles and Interactions 29 January 2005 Einstein: A Century of Relativity Feng 12
  • 13. Albert Einsten 1915: Spacetime is an active player: curves, expands, shrinks, … 29 January 2005 Einstein: A Century of Relativity Feng 13
  • 14. The Big Bang  The universe does not expand into space – space itself expands  Extrapolating back, space was small – the Big Bang • Other dimensions could exist but still be small. String theory requires 6 extra dimensions. • How can we test this possibility? 29 January 2005 Einstein: A Century of Relativity Feng 14
  • 15. Small Dimensions  Suppose all particles propagate in extra dimensions, but these are curled up in circles.  We will not notice them if the circles are very small. Garden hose 29 January 2005 Einstein: A Century of Relativity Feng 15
  • 16. A lot of dark matter is required to hold galaxies together  It cannot all be made of known particles  It must be some new form of matter – maybe a sign of extra dimensions! 29 January 2005 Einstein: A Century of Relativity Feng 16
  • 17. Dark Matter at Colliders Large Hadron Collider at CERN, Geneva 29 January 2005 Einstein: A Century of Relativity Feng 17
  • 18. Strong Gravity and Black Holes 29 January 2005 Einstein: A Century of Relativity Feng 18
  • 19. Gravity  Gravity is the least understood force.  Many deep problems, but one obvious one: Gravity is extraordinarily weak. It is important in everyday life only because it is always attractive. 29 January 2005 Einstein: A Century of Relativity Feng 19
  • 20. Strong Gravity  In this case, gravity may be strong but appear weak only because its strength is diluted by extra dimensions.  Fgravity ~ 1/r 2+n for small lengths, where n is the number of extra dimensions. Can this be true? 29 January 2005 Einstein: A Century of Relativity Feng 20
  • 21. What is M- theory?  Membrane, Mystery, M other, Magic, … Membranes Eleven dimensions String theory P-branes P.K. Townsend: “Pea brain democracy!” 12/15/01 Saturday Morning Physics 21
  • 22.
  • 23. 7 + 7 TeV proton – proton collider
  • 24. ….…..and a classic ending. Strings and Inflation 24