String Induced Supersymmetry Breaking - Pres

8/9/2019 String Induced Supersymmetry Breaking - Pres

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String InduSupersymm

BreaBy L


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Contents

Why Supersymmetry (SUSY) and where did it come fr

Basics of Supersymmetry

!inima" Supersymmetric Standard !ode"

!y #esu"ts So $ar%

SUSY Breaking and $uture P"ans

#eferences and $urther #eading


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Why Supersymmetry (SUSY)

where did it come from String theory was &rst disco'ered y ene*iano (+,-.)

mathematica" formu"a which c"ose"y "inks in with the anaproperties of scattering/

In further ca"cu"ations there where singu"arities and po"e

ecame open and c"osed strings/

Supersymmetry was &rst introduced1 when 2e'eu and S(+,3+) rought osonic and fermionic string theories tog

4he fermionic and osonic $ourier modes of the strings


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where did it come from

4here are pro"ems with the standard mode" e'en aweak sca"e +778e'/ 4he heirachy pro"em imp"ies t

9iggs partic"e recei'es "arge :uantum "oop correctiowe need to introduce parameters which cance" thespro"em is a"so ca""ed the tuning pro"em/


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When SUSY is introduced into the standard the "oopcorrections from the fermionic and osonic correctioout in &e"d theories in'ariant under SUSY/

9owe'er e>act in'ariance imp"ies a"" partic"es ha'esupersymmetric pair/

But this howe'er is not the case? =/g/ the e"ectron ha spin;7 pair1 ecause we wou"d ha'e oser'ed it?


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4herefore there needs to e SUSY reaking?

SUSY a"so imp"ies gra'ityA performing two "oca" SUStransformations1 we &nd ourse"'es introducing new reproduce =instein@s &e"d e:uations?


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4he string@s modes introduced ear"ier di5ered y a 6

the same ut with partic"e spin@/ 4his shows that e'partic"e in the standard mode" has a partner partic"ere"ated y a factor of 6 spin@/


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SUSY transforms fermion to osons and osons to fe

4he and indicate the spinor component1 these areSUSY transformations/

ny theory in'ariant under these transformation is under supersymmetric transformations/

= i()

= Ji( )

K


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!inima" Supersymmetric Standard (!SS!)

4he !SS! is the standard mode" ut with superpart

instead of gauge&e"ds it has super&e"ds1 that the supartic"es are represented y/


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httpsAMMwww/:uantamaga*ine/orgMG7+G++G7;as;supersymmetry;f; ;


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4he standard mode" an e:uation which mode" the c

constants with respect to energy/

1 1 E= + ln

(E) (E0) 2 E0


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1

4hese are the coup"ing constants of 1 and which argauge groups of the three forces that are descried

standard mode"/

4he @s ao'e are used with other information to det/

1 1 = + ln

(E) (E0) 2


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!y #esu"ts So $ar%

4he eta function is ca"cu"ated from e:uations whicaccount the numer of partic"es and what the gaug

In the S! the for and are ./N31 G,/- and O, respe

eta functions are 31 +,M- and ;N+M+7 respecti'e"y/ Because of the e>tra partic"es in the !SS! the eta

change "ike so1 the !SS! eta functions are thus H1;HHMO/

1 1= +

(E) (E0) 2


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!y #esu"ts So $ar%

$or the S! there are three e:uations and for !SS! a"so three e:uations/

If we were to ha'e uni&cation these @s wou"d ha'e t


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!y #esu"ts So $ar%

4o check we put the e:uations in the form for a"" the:uations

4hen for the "ines to meet at a point


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!y #esu"ts So $ar%

4he determinant for the S! F-/O7% 9ence the "inemeet/

$or the !SS! the determinant F 7/++O.% 4he "ines

c"ose to meeting (reason for not meeting cou"d euncertainties in the 'a"ues used%)

4he energy where they meet

9ence the possii"ity of a uni&ed theory e>ists with


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SUSY Breaking and $uture P"a

$or SUSY to e a 'a"id theory1 we ha'e to oser'esuperpartners e/g/ SUSY needs to e roken?

Lightest Sta"e Partic"e (LSP) cou"d e detected soo

L9C gets up to speed/

In the second ha"f of my research I wi"" "ook into thewhy SUSY is roken from a string theory point of 'ie


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#eferences and $urther #ead

49= =#LY 9IS4


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4hank You $or Listening?

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String Induced Supersymmetry Breaking - Pres