(Cubic SSFT) Super String Field Theory (Lecture II) I.Ya. Aref'eva

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Presentation transcript:

(Cubic SSFT) Super String Field Theory (Lecture II) I.Ya. Aref'eva Steklov Mathematical Institute Super String Field Theory (Cubic SSFT) (Lecture II) II SUMMER SCHOOL IN MODERN MATHEMATICAL PHYSICS September 1-12, 2002 Kopaonik, (SERBIA) YUGOSLAVIA

Tachyon Condensation in SSFT OUTLOOK String Field Theory L.Bonora SuperString Field Theory Cubic SSFT action 2-nd Tachyon Condensation in SSFT 1-st Rolling Tachyon Vacuum SuperString Field Theory 3-d i) New BRST charge ii) Special solutions - sliver, lump, etc.: algebraic; surface states; Moyal representation

Super String Theory (NSR-formalism) 2dim Majorana spinor,

Super String Theory (NSR-formalism)

Super String Theory (NSR-formalism) r=1/2 for R-sector; r=0 for NS-sector Quantization Correlators

Identity Overlap Gross, Jevicki Three string vertex overlap

Fermionic Vertices Identity Three string vertex

Superstring (NSR-formalism); ghosts r=1/2 for R-sector; r=0 for NS-sector Quantization Bosonization

Cubic Super String Field Theory E.Witten (1986) Went,…. PROBLEMS E.O.M. I.A., Medvedev, Zubarev (1990) Preitschopf, Thorn, Yost (1990) Up to a kernal

String Field Theory on a non-BPS brane I.A.,Belov,Koshelev,Medvedev(2001) Parity GSO odd + even -

Tachyon Condensation in SFT Bosonic String - Tachyon Super String has no Tachyon Tachyon in GSO ( - ) sector of NS string Kostelecky,Samuel (1989) V Level truncation

Vertex operators in pictures –1 and 0 + 2 s - 3/2 r 1 t 1/2 u Picture 0 Picture -1 Name GSO Level Berkovits,Sen,Zwiebach (2000) I.A.,Belov,Koshelev,Medvedev (2001)

Tachyon Condensation in SSFT 97.5% For the non-polinomial Berkovic action (Berkovic, Sen, Zwiebach): 85%, 90.5% 105%

FAQ: cubic unbounded A.: Auxiliary fields u, t fields

NO OPEN STRING EXCITATIONS VSFT