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Double field string worldsheet model [Hull, hep-th/0406102, 0605149] H is a 2n x 2n, symmetric “generalized metric“; X is a 2n-dimensional vectorwhose components parameterize a T 2n fibred over N. the double torusT 2n contains the original n-torus with coordinates andthe dual n-torus with coordinates . invariant under O(n,n;Z) ⊂ GL(2n):for h ∈ O(n,n;Z)(i.e. Invariant under T-duality transformation ⊂ diffeomorphism of T 2n )Here comes your footerPage 14
One can define a natural O(n,n;Z) invariant metric L IJ on the T 2n fibre: Impose self-duality constraint at the on-shell level to eliminate half of d.o.f.self-duality constraint: chiral constraint, half of the d.o.f.’s are left-movingwhile the other half are right-moving. GL(2n) broken to O(n,n;Z) due to L IJ . manifest worldsheet Lorentz symmetryHere comes your footerPage 15
Page 1 and 2: Towards the Double Field Theoryfor
Page 3 and 4: Outline of this talk Introduction D
Page 5 and 6: T-duality Important as it relates d
Page 7 and 8: T-duality as O(n,n;Z) transformatio
Page 9 and 10: Examples of O(2,2;Z) transformation
Page 11 and 12: Hull‘s doubled formalism Since T-
Page 13: Hull geometrizes the T-fold on the
Page 17 and 18: In fact, Tseytlin already found the
Page 19 and 20: D-branes in double field theory (Do
Page 21 and 22: Conditions for the projectors Proje
Page 23 and 24: Examples: n=2 case D-brane pairD0-D
Page 25 and 26: What’s this D-brane configuration
Page 27 and 28: [1006.4823] Quick glance at Hull-Zw
Page 30 and 31: We are going to quantize a chiral-c
Page 32 and 33: The reduced notation for the extend
Page 34 and 35: The boundary interaction term corre
Page 36 and 37: In the end, the equation of motion
Page 38 and 39: This may be due to that the B-field
Page 40: Thank YouHere comes your footer Pag

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