Chosen Fixed Point
Here is the data for the chosen fixed point.
$F_{UV}$ represents the flavor symmetries in the UV Lagrangian, and $F_{IR}$ represents the flavor symmetries in the IR. $F_{UV}$ and $F_{IR}$ can differ due to accidental symmetry enhancement.
The number of marginal operators, $n_{marginal}$, minus the dimension of flavor symmetries in IR, $|F_{IR}|$, corresponds to the coefficient of $t^6$ in the superconformal index.
# | Theory | Superpotential | Central charge $a$ | Central charge $c$ | Ratio $a/c$ | Matter field: $R$-charge | U(1) part of $F_{UV}$ | Rank of $F_{UV}$ | Rational |
---|---|---|---|---|---|---|---|---|---|
46164 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}q_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{2}$ | 0.7103 | 0.916 | 0.7755 | [M:[0.6811, 0.6946, 0.6811, 0.6946, 0.6946], q:[0.4858, 0.8331], qb:[0.8196, 0.4723], phi:[0.3473]] | [M:[[-4, -3, 1], [-3, -4, 1], [-5, -5, 2], [-1, 0, -1], [-2, -2, 0]], q:[[3, 3, -1], [1, 0, 0]], qb:[[0, 1, 0], [0, 0, 1]], phi:[[-1, -1, 0]]] | 3 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }M_{3}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{5}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{2}$, ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ | ${}$ | -5 | 2*t^2.043 + 4*t^2.084 + t^2.874 + 2*t^3.876 + 3*t^4.086 + 8*t^4.127 + 10*t^4.168 + 2*t^4.918 + 5*t^4.958 + t^5.749 + 4*t^5.919 + 6*t^5.959 - 5*t^6. - 2*t^6.041 + 4*t^6.13 + 12*t^6.17 + 20*t^6.211 + 20*t^6.251 + 2*t^6.75 + 3*t^6.961 + 8*t^7.001 + 10*t^7.042 - 2*t^7.082 + 3*t^7.751 - 2*t^7.873 + 6*t^7.962 + 12*t^8.003 + 2*t^8.043 - 23*t^8.084 - 8*t^8.124 + 5*t^8.173 + 16*t^8.213 + 30*t^8.254 + 40*t^8.295 + 35*t^8.335 + t^8.623 + 4*t^8.793 + 6*t^8.834 - 9*t^8.874 - 4*t^8.915 - t^4.042/y - (2*t^6.085)/y - (4*t^6.126)/y + t^7.086/y + (8*t^7.127)/y + (6*t^7.168)/y + (2*t^7.918)/y + (8*t^7.958)/y + (2*t^7.999)/y - (3*t^8.128)/y - (8*t^8.169)/y - (10*t^8.209)/y + (4*t^8.919)/y + (8*t^8.959)/y - t^4.042*y - 2*t^6.085*y - 4*t^6.126*y + t^7.086*y + 8*t^7.127*y + 6*t^7.168*y + 2*t^7.918*y + 8*t^7.958*y + 2*t^7.999*y - 3*t^8.128*y - 8*t^8.169*y - 10*t^8.209*y + 4*t^8.919*y + 8*t^8.959*y | (g3*t^2.043)/(g1^4*g2^3) + (g3^2*t^2.043)/(g1^5*g2^5) + (2*t^2.084)/(g1^2*g2^2) + t^2.084/(g1*g3) + (g3*t^2.084)/(g1^3*g2^4) + g1^3*g2^3*t^2.874 + g2*g3*t^3.876 + (g3^2*t^3.876)/(g1*g2) + (g3^2*t^4.086)/(g1^8*g2^6) + (g3^3*t^4.086)/(g1^9*g2^8) + (g3^4*t^4.086)/(g1^10*g2^10) + t^4.127/(g1^5*g2^3) + (3*g3*t^4.127)/(g1^6*g2^5) + (3*g3^2*t^4.127)/(g1^7*g2^7) + (g3^3*t^4.127)/(g1^8*g2^9) + (4*t^4.168)/(g1^4*g2^4) + t^4.168/(g1^2*g3^2) + (2*t^4.168)/(g1^3*g2^2*g3) + (2*g3*t^4.168)/(g1^5*g2^6) + (g3^2*t^4.168)/(g1^6*g2^8) + (g3*t^4.918)/g1 + (g3^2*t^4.918)/(g1^2*g2^2) + 3*g1*g2*t^4.958 + (g1^2*g2^3*t^4.958)/g3 + (g3*t^4.958)/g2 + g1^6*g2^6*t^5.749 + (g3^2*t^5.919)/(g1^4*g2^2) + (2*g3^3*t^5.919)/(g1^5*g2^4) + (g3^4*t^5.919)/(g1^6*g2^6) + (g2*t^5.959)/g1 + (2*g3*t^5.959)/(g1^2*g2) + (2*g3^2*t^5.959)/(g1^3*g2^3) + (g3^3*t^5.959)/(g1^4*g2^5) - 3*t^6. - (g1*g2^2*t^6.)/g3 - (g3*t^6.)/(g1*g2^2) - (g1^3*g2^3*t^6.041)/g3^2 - (g1^2*g2*t^6.041)/g3 + (g3^3*t^6.13)/(g1^12*g2^9) + (g3^4*t^6.13)/(g1^13*g2^11) + (g3^5*t^6.13)/(g1^14*g2^13) + (g3^6*t^6.13)/(g1^15*g2^15) + (g3*t^6.17)/(g1^9*g2^6) + (3*g3^2*t^6.17)/(g1^10*g2^8) + (4*g3^3*t^6.17)/(g1^11*g2^10) + (3*g3^4*t^6.17)/(g1^12*g2^12) + (g3^5*t^6.17)/(g1^13*g2^14) + (3*t^6.211)/(g1^7*g2^5) + t^6.211/(g1^6*g2^3*g3) + (6*g3*t^6.211)/(g1^8*g2^7) + (6*g3^2*t^6.211)/(g1^9*g2^9) + (3*g3^3*t^6.211)/(g1^10*g2^11) + (g3^4*t^6.211)/(g1^11*g2^13) + (6*t^6.251)/(g1^6*g2^6) + t^6.251/(g1^3*g3^3) + (2*t^6.251)/(g1^4*g2^2*g3^2) + (4*t^6.251)/(g1^5*g2^4*g3) + (4*g3*t^6.251)/(g1^7*g2^8) + (2*g3^2*t^6.251)/(g1^8*g2^10) + (g3^3*t^6.251)/(g1^9*g2^12) + g1^3*g2^4*g3*t^6.75 + g1^2*g2^2*g3^2*t^6.75 + (g3^2*t^6.961)/(g1^5*g2^3) + (g3^3*t^6.961)/(g1^6*g2^5) + (g3^4*t^6.961)/(g1^7*g2^7) + t^7.001/g1^2 + (3*g3*t^7.001)/(g1^3*g2^2) + (3*g3^2*t^7.001)/(g1^4*g2^4) + (g3^3*t^7.001)/(g1^5*g2^6) + (4*t^7.042)/(g1*g2) + (g1*g2^3*t^7.042)/g3^2 + (2*g2*t^7.042)/g3 + (2*g3*t^7.042)/(g1^2*g2^3) + (g3^2*t^7.042)/(g1^3*g2^5) - (g1^2*g2^2*t^7.082)/g3^2 - (g1*t^7.082)/g3 + g2^2*g3^2*t^7.751 + (g3^3*t^7.751)/g1 + (g3^4*t^7.751)/(g1^2*g2^2) - (g1^7*g2^7*t^7.873)/g3^2 - (g1^6*g2^5*t^7.873)/g3 + (g3^3*t^7.962)/(g1^8*g2^5) + (2*g3^4*t^7.962)/(g1^9*g2^7) + (2*g3^5*t^7.962)/(g1^10*g2^9) + (g3^6*t^7.962)/(g1^11*g2^11) + (g3*t^8.003)/(g1^5*g2^2) + (3*g3^2*t^8.003)/(g1^6*g2^4) + (4*g3^3*t^8.003)/(g1^7*g2^6) + (3*g3^4*t^8.003)/(g1^8*g2^8) + (g3^5*t^8.003)/(g1^9*g2^10) + t^8.043/(g1^3*g2) + (g2*t^8.043)/(g1^2*g3) - (g3*t^8.043)/(g1^4*g2^3) - (g3^2*t^8.043)/(g1^5*g2^5) + (g3^3*t^8.043)/(g1^6*g2^7) + (g3^4*t^8.043)/(g1^7*g2^9) - (9*t^8.084)/(g1^2*g2^2) - (g2^2*t^8.084)/g3^2 - (6*t^8.084)/(g1*g3) - (6*g3*t^8.084)/(g1^3*g2^4) - (g3^2*t^8.084)/(g1^4*g2^6) - t^8.124/(g1*g2^3) - (g1^2*g2^3*t^8.124)/g3^3 - (3*g1*g2*t^8.124)/g3^2 - (3*t^8.124)/(g2*g3) + (g3^4*t^8.173)/(g1^16*g2^12) + (g3^5*t^8.173)/(g1^17*g2^14) + (g3^6*t^8.173)/(g1^18*g2^16) + (g3^7*t^8.173)/(g1^19*g2^18) + (g3^8*t^8.173)/(g1^20*g2^20) + (g3^2*t^8.213)/(g1^13*g2^9) + (3*g3^3*t^8.213)/(g1^14*g2^11) + (4*g3^4*t^8.213)/(g1^15*g2^13) + (4*g3^5*t^8.213)/(g1^16*g2^15) + (3*g3^6*t^8.213)/(g1^17*g2^17) + (g3^7*t^8.213)/(g1^18*g2^19) + t^8.254/(g1^10*g2^6) + (3*g3*t^8.254)/(g1^11*g2^8) + (7*g3^2*t^8.254)/(g1^12*g2^10) + (8*g3^3*t^8.254)/(g1^13*g2^12) + (7*g3^4*t^8.254)/(g1^14*g2^14) + (3*g3^5*t^8.254)/(g1^15*g2^16) + (g3^6*t^8.254)/(g1^16*g2^18) + (6*t^8.295)/(g1^9*g2^7) + t^8.295/(g1^7*g2^3*g3^2) + (3*t^8.295)/(g1^8*g2^5*g3) + (10*g3*t^8.295)/(g1^10*g2^9) + (10*g3^2*t^8.295)/(g1^11*g2^11) + (6*g3^3*t^8.295)/(g1^12*g2^13) + (3*g3^4*t^8.295)/(g1^13*g2^15) + (g3^5*t^8.295)/(g1^14*g2^17) + (9*t^8.335)/(g1^8*g2^8) + t^8.335/(g1^4*g3^4) + (2*t^8.335)/(g1^5*g2^2*g3^3) + (4*t^8.335)/(g1^6*g2^4*g3^2) + (6*t^8.335)/(g1^7*g2^6*g3) + (6*g3*t^8.335)/(g1^9*g2^10) + (4*g3^2*t^8.335)/(g1^10*g2^12) + (2*g3^3*t^8.335)/(g1^11*g2^14) + (g3^4*t^8.335)/(g1^12*g2^16) + g1^9*g2^9*t^8.623 + (g2*g3^2*t^8.793)/g1 + (2*g3^3*t^8.793)/(g1^2*g2) + (g3^4*t^8.793)/(g1^3*g2^3) + g1^2*g2^4*t^8.834 + 2*g1*g2^2*g3*t^8.834 + 2*g3^2*t^8.834 + (g3^3*t^8.834)/(g1*g2^2) - 5*g1^3*g2^3*t^8.874 - (2*g1^4*g2^5*t^8.874)/g3 - 2*g1^2*g2*g3*t^8.874 - (2*g1^6*g2^6*t^8.915)/g3^2 - (2*g1^5*g2^4*t^8.915)/g3 - t^4.042/(g1*g2*y) - (g3*t^6.085)/(g1^5*g2^4*y) - (g3^2*t^6.085)/(g1^6*g2^6*y) - (2*t^6.126)/(g1^3*g2^3*y) - t^6.126/(g1^2*g2*g3*y) - (g3*t^6.126)/(g1^4*g2^5*y) + (g3^3*t^7.086)/(g1^9*g2^8*y) + t^7.127/(g1^5*g2^3*y) + (3*g3*t^7.127)/(g1^6*g2^5*y) + (3*g3^2*t^7.127)/(g1^7*g2^7*y) + (g3^3*t^7.127)/(g1^8*g2^9*y) + (2*t^7.168)/(g1^4*g2^4*y) + (2*t^7.168)/(g1^3*g2^2*g3*y) + (2*g3*t^7.168)/(g1^5*g2^6*y) + (g3*t^7.918)/(g1*y) + (g3^2*t^7.918)/(g1^2*g2^2*y) + (4*g1*g2*t^7.958)/y + (2*g1^2*g2^3*t^7.958)/(g3*y) + (2*g3*t^7.958)/(g2*y) + (g1^4*g2^4*t^7.999)/(g3^2*y) + (g1^3*g2^2*t^7.999)/(g3*y) - (g3^2*t^8.128)/(g1^9*g2^7*y) - (g3^3*t^8.128)/(g1^10*g2^9*y) - (g3^4*t^8.128)/(g1^11*g2^11*y) - t^8.169/(g1^6*g2^4*y) - (3*g3*t^8.169)/(g1^7*g2^6*y) - (3*g3^2*t^8.169)/(g1^8*g2^8*y) - (g3^3*t^8.169)/(g1^9*g2^10*y) - (4*t^8.209)/(g1^5*g2^5*y) - t^8.209/(g1^3*g2*g3^2*y) - (2*t^8.209)/(g1^4*g2^3*g3*y) - (2*g3*t^8.209)/(g1^6*g2^7*y) - (g3^2*t^8.209)/(g1^7*g2^9*y) + (g3^2*t^8.919)/(g1^4*g2^2*y) + (2*g3^3*t^8.919)/(g1^5*g2^4*y) + (g3^4*t^8.919)/(g1^6*g2^6*y) + (g2*t^8.959)/(g1*y) + (3*g3*t^8.959)/(g1^2*g2*y) + (3*g3^2*t^8.959)/(g1^3*g2^3*y) + (g3^3*t^8.959)/(g1^4*g2^5*y) - (t^4.042*y)/(g1*g2) - (g3*t^6.085*y)/(g1^5*g2^4) - (g3^2*t^6.085*y)/(g1^6*g2^6) - (2*t^6.126*y)/(g1^3*g2^3) - (t^6.126*y)/(g1^2*g2*g3) - (g3*t^6.126*y)/(g1^4*g2^5) + (g3^3*t^7.086*y)/(g1^9*g2^8) + (t^7.127*y)/(g1^5*g2^3) + (3*g3*t^7.127*y)/(g1^6*g2^5) + (3*g3^2*t^7.127*y)/(g1^7*g2^7) + (g3^3*t^7.127*y)/(g1^8*g2^9) + (2*t^7.168*y)/(g1^4*g2^4) + (2*t^7.168*y)/(g1^3*g2^2*g3) + (2*g3*t^7.168*y)/(g1^5*g2^6) + (g3*t^7.918*y)/g1 + (g3^2*t^7.918*y)/(g1^2*g2^2) + 4*g1*g2*t^7.958*y + (2*g1^2*g2^3*t^7.958*y)/g3 + (2*g3*t^7.958*y)/g2 + (g1^4*g2^4*t^7.999*y)/g3^2 + (g1^3*g2^2*t^7.999*y)/g3 - (g3^2*t^8.128*y)/(g1^9*g2^7) - (g3^3*t^8.128*y)/(g1^10*g2^9) - (g3^4*t^8.128*y)/(g1^11*g2^11) - (t^8.169*y)/(g1^6*g2^4) - (3*g3*t^8.169*y)/(g1^7*g2^6) - (3*g3^2*t^8.169*y)/(g1^8*g2^8) - (g3^3*t^8.169*y)/(g1^9*g2^10) - (4*t^8.209*y)/(g1^5*g2^5) - (t^8.209*y)/(g1^3*g2*g3^2) - (2*t^8.209*y)/(g1^4*g2^3*g3) - (2*g3*t^8.209*y)/(g1^6*g2^7) - (g3^2*t^8.209*y)/(g1^7*g2^9) + (g3^2*t^8.919*y)/(g1^4*g2^2) + (2*g3^3*t^8.919*y)/(g1^5*g2^4) + (g3^4*t^8.919*y)/(g1^6*g2^6) + (g2*t^8.959*y)/g1 + (3*g3*t^8.959*y)/(g1^2*g2) + (3*g3^2*t^8.959*y)/(g1^3*g2^3) + (g3^3*t^8.959*y)/(g1^4*g2^5) |
Deformation
Here is the data for the deformed fixed points from the chosen fixed point.
# | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
---|---|---|---|---|---|---|---|---|
46377 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}q_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$ | 0.7308 | 0.9552 | 0.7651 | [M:[0.687, 0.687, 0.6836, 0.6937, 0.6903, 0.6937], q:[0.4856, 0.8274], qb:[0.8274, 0.4789], phi:[0.3452]] | t^2.051 + 2*t^2.061 + 2*t^2.071 + 2*t^2.081 + t^2.894 + t^3.909 + t^4.102 + 2*t^4.112 + 5*t^4.122 + 6*t^4.132 + 7*t^4.142 + 4*t^4.152 + 3*t^4.162 + t^4.945 + 2*t^4.955 + 3*t^4.965 + 2*t^4.975 + t^5.787 + t^5.96 + 2*t^5.97 + t^5.98 - 3*t^6. - t^4.035/y - t^4.035*y | detail | |
46461 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}q_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ | 0.7102 | 0.9155 | 0.7758 | [M:[0.6877, 0.6877, 0.6815, 0.6999, 0.6938], q:[0.4858, 0.8266], qb:[0.8266, 0.4736], phi:[0.3469]] | t^2.045 + 2*t^2.063 + 2*t^2.081 + t^2.1 + t^2.878 + t^3.882 + t^3.9 + t^4.089 + 2*t^4.108 + 5*t^4.126 + 5*t^4.144 + 5*t^4.163 + 2*t^4.181 + t^4.199 + t^4.923 + 2*t^4.941 + 3*t^4.959 + t^4.978 + t^5.756 + t^5.927 + 3*t^5.945 + 3*t^5.963 + t^5.982 - 2*t^6. - t^4.041/y - t^4.041*y | detail |
Equivalent Fixed Points from Other Seed Theories
Here is a list of equivalent fixed points from other gauge theories.
# | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
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Equivalent Fixed Points from the Same Seed Theory
Below is a list of equivalent fixed points from the same seed theories.
id | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | More Info. | Rational |
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Previous Theory
The previous fixed point before deforming to get the chosen fixed point.
# | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
---|---|---|---|---|---|---|---|---|---|
45958 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}q_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ | 0.6897 | 0.8762 | 0.7872 | [M:[0.6829, 0.6979, 0.6829, 0.6979], q:[0.4841, 0.8331], qb:[0.818, 0.469], phi:[0.349]] | 2*t^2.049 + 3*t^2.094 + t^2.859 + 2*t^3.861 + t^3.906 + 3*t^4.097 + 6*t^4.142 + 6*t^4.188 + 2*t^4.908 + 4*t^4.953 + t^5.718 + 4*t^5.909 + 6*t^5.955 - 2*t^6. - t^4.047/y - t^4.047*y | detail |