Successfully reported this slideshow.
We use your LinkedIn profile and activity data to personalize ads and to show you more relevant ads. You can change your ad preferences anytime.

What's Supersymmetry?

1,721 views

Published on

Here i am introducing quite elementary description of Supersymmetric theory (SUSY) and it's beauty. Have Fun!

Published in: Technology, Business
  • Be the first to comment

  • Be the first to like this

What's Supersymmetry?

  1. 1. What is Supersymmetry ? What is Supersymmetry ? kudayblog.wordpress.com  1 
  2. 2. What is Supersymmetry ? Just a single  ques:on for  crea:ng enough  trouble.  What is Supersymmetry ? kudayblog.wordpress.com  2 
  3. 3. What is Supersymmetry ? ….But since people  keep asking me a lot  about it, I feel like  explaining it in the  simplest form here.   What is Supersymmetry ? kudayblog.wordpress.com  3 
  4. 4. What is Supersymmetry ? So let me  try….  What is Supersymmetry ? kudayblog.wordpress.com  4 
  5. 5. Supersymmetry: Assuming that the scalars we observed in real life (e.g: mass) is just projections of extra dimensional vectors of supersymmetric space, Supersymmetry searches for possible symmetries between those scalars and vectors. What is Supersymmetry ? kudayblog.wordpress.com  5 
  6. 6. Supersymmetry: Assuming that the scalars we observed in real life (e.g: mass) is just projections of extra dimensional vectors of supersymmetric space, Supersymmetry searches for possible symmetries between those scalars and vectors. Scalars, vectors,  extra dimensions,  space, projec:on?? … Did you  understand it  now??  What is Supersymmetry ? kudayblog.wordpress.com  6 
  7. 7. Supersymmetry: Assuming that the scalars we observed in real life (e.g: mass) is just projections of extra dimensional vectors of supersymmetric space, Supersymmetry searches for possible symmetries between those scalars and vectors. Me  neither!!!  What is Supersymmetry ? kudayblog.wordpress.com  7 
  8. 8. Supersymmetry: Assuming that the scalars we observed in real life (e.g: mass) is just projections of extra dimensional vectors of supersymmetric space, Supersymmetry searches for possible symmetries between those scalars and vectors. Let’s draw a  picture in other  words.  What is Supersymmetry ? kudayblog.wordpress.com  8 
  9. 9. This is Bob. He lives in a 4 dimensional (x,y,z,t) world like us. This means he can measure length, height, width of an object at any time. Here he has 3 vectors called x,y,z. This is Alice. She lives in a 5 dimensional world. Because she can measure one extra dimension θ in addition to x,y,z,t. So she has 4 vectors called x,y,z,θ. What is Supersymmetry ? kudayblog.wordpress.com  9 
  10. 10. This is Bob. He lives in a 4 dimensional (x,y,z,t) world like us. This means he can measure length, Hushhhhh… Their  height, width of an object at any time. Here he has 3 vectors called rela:on has a strange  x,y,z. story and I will tell you  the reason why….  This is Alice. She lives in a 5 dimensional world. Because she can measure one extra dimension θ in addition to x,y,z,t. So she has 4 vectors called x,y,z,θ. What is Supersymmetry ? kudayblog.wordpress.com  10 
  11. 11. Assume that this axis represents Bob’s  world: (x,y,z,t) = xμ  where μ = 1,2,3,4  BOB So that x1 = x , x2 = y , x3 = z , x4 = t   ALICE What is Supersymmetry ? kudayblog.wordpress.com  11 
  12. 12. Xµ BOB …and assume that this axis represents Alice’s  world: (θ,x,y,z,t) = θa  where a = 1,2,3,4,5   So that θ1 = θ , θ2 = x , θ3 = y , θ4 = z , θ5 = t   ALICE What is Supersymmetry ? kudayblog.wordpress.com  12 
  13. 13. Xµ Whenever they decide to measure BOB the dimensions of an object, they can not find the same results. ALICE a What is Supersymmetry ? kudayblog.wordpress.com  13 
  14. 14. Because Bob was measuring 4 dimensions Xµ -width, length, height, time- but Alice was measuring one more dimension called θ BOB in addition to width, length, height and time. Yµ Y  ALICE Ya a What is Supersymmetry ? kudayblog.wordpress.com  14 
  15. 15. Xµ One day, Bob decided to do better than this. And he realised that he can also BOB measure a scalar called Mass. Yµ Y  Mass of Y ALICE Ya a What is Supersymmetry ? kudayblog.wordpress.com  15 
  16. 16. He called up Alice and asked if she Xµ can measure any scalar feature of the BOB same object Y. Alice told “What is a scalar?” Yµ Y  Mass of Y ALICE Ya a What is Supersymmetry ? kudayblog.wordpress.com  16 
  17. 17. Xµ She was completely unaware of SCALAR features of Y !! BOB Yµ Y  Mass of Y ALICE Ya a What is Supersymmetry ? kudayblog.wordpress.com  17 
  18. 18. Bob thought “That is too much. She must Xµ have been LYING!! And this relation cannot BOB go on with lies.” Yµ Y  Mass of Y ALICE Ya a What is Supersymmetry ? kudayblog.wordpress.com  18 
  19. 19. Then a physicist appeared. And warned Bob.. Hey my friends, Xµ You’r ventured BOB into Uncharted waters.  Yµ Y  Mass of Y ALICE Ya a What is Supersymmetry ? kudayblog.wordpress.com  19 
  20. 20. There is a simple solution and Xµ hence the facts are always BOB simple and understandable:   Yµ Y  Mass of Y ALICE Ya a What is Supersymmetry ? kudayblog.wordpress.com  20 
  21. 21. “Alice” lives in an extra Xµ dimensional world so that she measures scalars (like mass) BOB as vectorial dimensions.   Yµ Y  Mass of Y ALICE Ya a What is Supersymmetry ? kudayblog.wordpress.com  21 
  22. 22. …But Bob measures some of Xµ her vectorial dimensions as scalars. So there is a naïve BOB relation between Mass and θ.   Yµ Y  Mass of Y ALICE Ya a What is Supersymmetry ? kudayblog.wordpress.com  22 
  23. 23. Years ago, Bob was living in Xµ Alice’s Extradimensional World. But his θ has collapsed into a BOB scalar axis. Yµ Y  Mass of Y ALICE a What is Supersymmetry ? kudayblog.wordpress.com  23 
  24. 24. Now you learned everything Xµ and i will tell you how you can relate your two different BOB worlds with one equation.  Yµ Y  Mass of Y ALICE Ya a What is Supersymmetry ? kudayblog.wordpress.com  24 
  25. 25. Assume that a particle travel with Xµ a constant speed and it’s momentum is “p”. So length of its momentum BOB vector will be |p|2 = 0  Mass ALICE a What is Supersymmetry ? kudayblog.wordpress.com  25 
  26. 26. But Alice will write it as papa =0 Xµ and Bob will write it as pµpµ-m2 = BOB 0 . µ 2 p pµ − m = 0 Mass ALICE a p pa = 0 a What is Supersymmetry ? kudayblog.wordpress.com  26 
  27. 27. If we transform Bob’s scalar axis to Xµ Alice’s vectorial axis θ, only Alice’s equation would be valid and it means BOB “supersymmetric transformation”. µ 2 p pµ − m = 0 Mass ALICE a p pa = 0 a What is Supersymmetry ? kudayblog.wordpress.com  27 
  28. 28. As a natural consequence of supersymmetry: We should observe “scalar and vectorial partners” of elementary particles. Vectorial Particle Scalar Particle electron selectron u, d, c, s – quark u, d, c, s – squark top quark stop bottom quark sbottom …(Fermions) ….(Bosons) SUSY Transformations kudayblog.wordpress.com  28 
  29. 29. Supersymmetry: Assuming that the scalars we observed in real life (e.g: mass) is just projections of extra dimensional vectors of supersymmetric space, Supersymmetry searches for possible symmetries between those scalars and vectors. I hope it is more  apparent now.  What is Supersymmetry ? kudayblog.wordpress.com  29 
  30. 30. The End kudayblog.wordpress.com  30 

×