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

1. What is Supersymmetry ?
What is
Supersymmetry ?
kudayblog.wordpress.com 1

2. What is Supersymmetry ?
Just a single
ques:on for
crea:ng enough
trouble.
What is
Supersymmetry ?
kudayblog.wordpress.com 2

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 ?
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4. What is Supersymmetry ?
So let me
try….
What is
Supersymmetry ?
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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. 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. 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. 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 ?
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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 ?
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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 ?
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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 ?
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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 ?
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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 ?
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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 ?
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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 ?
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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 ?
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17. Xµ
She was completely unaware of
SCALAR features of Y !!
BOB
Yµ
Y
Mass of Y
ALICE
Ya
a
What is
Supersymmetry ?
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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 ?
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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 ?
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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 ?
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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 ?
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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 ?
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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 ?
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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 ?
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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 ?
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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 ?
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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 ?
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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
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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. The End
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