A bstract We propose a method to challenge the calculation of genus- g , bulk n -point, b -boundary, c -crosscap correlation functions with x boundary operators $$ {\mathcal{F}}_{g,n,b,c}^x $$ F g , n , b , c x in two-dimensional conformal field theories (CFT 2 ). We show that $$ {\mathcal{F}}_{g,n,b,c}^x $$ F g , n , b , c x are infinite linear combinations of genus- g , bulk ( n + b + c )-point functions F g , ( n + b + c ) , and try to obtain the linear coefficients in this work. We show the existence of a single pole structure in the linear coefficients at degenerate limits. A practical method to obtain the infinite linear coefficients is the free field realizations of Ishibashi states. We review the results in Virasoro minimal models $$ \mathcal{M} $$ M ( p, p ′) and extend it to the N = 1 minimal models $$ \mathcal{SM} $$ SM ( p, p ′).

arXiv:2309.07528Journal of High Energy PhysicsSep 18, 20240 citations

arXiv:hep-th/0312160 · Journal of High Energy Physics

Two-Point Functions and Logarithmic Boundary Operators in Boundary Logarithmic Conformal Field Theories

Yukitaka Ishimoto

Published Aug 21, 2004• 3 citations

arXiv HTML PDF

DOI: 10.1088/1126-6708/2004/08/039

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The linear property of genus-g, n-point, b-boundary, c-crosscap correlation functions in two-dimensional conformal field theory

Xun Liu

A bstract We propose a method to challenge the calculation of genus- g , bulk n -point, b -boundary, c -crosscap correlation functions with x boundary operators ${\mathcal{F}}_{g,n,b,c}^x$ F g , n , b , c x in two-dimensional conformal field theories (CFT 2 ). We show that ${\mathcal{F}}_{g,n,b,c}^x$ F g , n , b , c x are infinite linear combinations of genus- g , bulk ( n + b + c )-point functions F g , ( n + b + c ) , and try to obtain the linear coefficients in this work. We show the existence of a single pole structure in the linear coefficients at degenerate limits. A practical method to obtain the infinite linear coefficients is the free field realizations of Ishibashi states. We review the results in Virasoro minimal models $\mathcal{M}$ M ( p, p ′) and extend it to the N = 1 minimal models $\mathcal{SM}$ SM ( p, p ′).A bstract We propose a method to challenge the calculation of genus- g , bulk n -point, b -boundary, c -crosscap correlation functions with x boundary operators $$ {\mathcal{F}}_{g,n,b,c}^x $$ F g , n , b , c x in two-dimensional conformal field theories (CFT 2 ). We show that $$ {\mathcal{F}}_{g,n,b,c}^x $$ F g , n , b , c x are infinite linear combinations of genus- g , bulk ( n + b + c )-point functions F g , ( n + b + c ) , and try to obtain the linear coefficients in this work. We show the existence of a single pole structure in the linear coefficients at degenerate limits. A practical method to obtain the infinite linear coefficients is the free field realizations of Ishibashi states. We review the results in Virasoro minimal models $$ \mathcal{M} $$ M ( p, p ′) and extend it to the N = 1 minimal models $$ \mathcal{SM} $$ SM ( p, p ′).

arXiv:2309.07528Journal of High Energy PhysicsSep 18, 20240 citations

c=0

disordered systems with nondegenerate vacua are studied. With the aid of two-, three-, and four-point functions, the operator algebra is obtained and associativity of the algebra studied.

A bstract We propose a method to challenge the calculation of genus- g , bulk n -point, b -boundary, c -crosscap correlation functions with x boundary operators

{\mathcal{F}}_{g,n,b,c}^x

F g , n , b , c x in two-dimensional conformal field theories (CFT 2 ). We show that

{\mathcal{F}}_{g,n,b,c}^x

F g , n , b , c x are infinite linear combinations of genus- g , bulk ( n + b + c )-point functions F g , ( n + b + c ) , and try to obtain the linear coefficients in this work. We show the existence of a single pole structure in the linear coefficients at degenerate limits. A practical method to obtain the infinite linear coefficients is the free field realizations of Ishibashi states. We review the results in Virasoro minimal models

\mathcal{M}

M ( p, p ′) and extend it to the N = 1 minimal models

\mathcal{SM}

SM ( p, p ′).