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# What's Supersymmetry?

## by kudaysinan, Software Developer / Physicist on Jun 06, 2010

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

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

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## What's Supersymmetry?Presentation Transcript

• What is Supersymmetry ? What is Supersymmetry ? kudayblog.wordpress.com  1
• What is Supersymmetry ? Just a single  ques:on for  crea:ng enough  trouble.  What is Supersymmetry ? kudayblog.wordpress.com  2
• 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
• What is Supersymmetry ? So let me  try….  What is Supersymmetry ? kudayblog.wordpress.com  4
• 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
• 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
• 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
• 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
• 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
• 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
• 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
• 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
• 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
• 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
• 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
• 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
• 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
• 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
• 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
• 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
• “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
• …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
• 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
• 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
• 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
• 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
• 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
• 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
• 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
• The End kudayblog.wordpress.com  30