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 |
|---|---|---|---|---|---|---|---|---|---|
| 55778 | SU2adj1nf3 | $\phi_1q_1q_2$ + $ M_1q_2q_3$ + $ M_2q_1\tilde{q}_1$ + $ M_2\tilde{q}_2\tilde{q}_3$ | 0.8796 | 1.0842 | 0.8112 | [X:[], M:[0.6694, 0.7382], q:[0.7105, 0.7531, 0.5775], qb:[0.5513, 0.6309, 0.6309], phi:[0.5364]] | [X:[], M:[[-4, -4, 2, 2], [0, 0, -3, -3]], q:[[0, -3, 3, 3], [1, 4, -2, -2], [3, 0, 0, 0]], qb:[[0, 3, 0, 0], [0, 0, 3, 0], [0, 0, 0, 3]], phi:[[-1, -1, -1, -1]]] | 4 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ M_2$, $ \phi_1^2$, $ q_3\tilde{q}_1$, $ \tilde{q}_1\tilde{q}_2$, $ q_3\tilde{q}_2$, $ \tilde{q}_2\tilde{q}_3$, $ q_1q_3$, $ q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ M_1^2$, $ q_2\tilde{q}_2$, $ M_1M_2$, $ q_1q_2$, $ M_2^2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_3\tilde{q}_1$, $ \phi_1q_3^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1\phi_1^2$, $ \phi_1q_3\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_1q_3\tilde{q}_1$, $ \phi_1\tilde{q}_2\tilde{q}_3$, $ M_2\phi_1^2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ M_2q_3\tilde{q}_1$, $ M_1q_3\tilde{q}_2$, $ M_1\tilde{q}_2\tilde{q}_3$, $ M_1q_1q_3$ | . | -6 | t^2.01 + t^2.21 + t^3.22 + t^3.39 + 2*t^3.55 + 2*t^3.63 + t^3.79 + t^3.86 + t^3.91 + 3*t^4.02 + 2*t^4.15 + t^4.22 + t^4.39 + t^4.43 + t^4.92 + t^5. + t^5.07 + 2*t^5.16 + 3*t^5.23 + 4*t^5.39 + t^5.43 + 2*t^5.56 + t^5.6 + 2*t^5.63 + t^5.79 + t^5.87 - 6*t^6. + t^6.02 + 2*t^6.03 + t^6.13 + t^6.23 - 2*t^6.24 + 2*t^6.44 - t^6.48 - t^6.53 + t^6.61 + t^6.64 + 3*t^6.77 + 2*t^6.84 + 3*t^6.93 + t^7. + 2*t^7.01 + t^7.08 + 3*t^7.09 + t^7.13 + 2*t^7.16 + 4*t^7.17 + 3*t^7.24 + 4*t^7.25 + t^7.29 + t^7.3 + 2*t^7.33 + 4*t^7.4 + 4*t^7.41 + t^7.44 + 2*t^7.46 + 2*t^7.49 - t^7.53 + 2*t^7.54 + 2*t^7.56 + 4*t^7.57 - t^7.61 + 2*t^7.64 + 5*t^7.65 - t^7.69 + 3*t^7.7 + t^7.73 - 2*t^7.77 + 3*t^7.78 + t^7.8 + 2*t^7.81 + t^7.82 + t^7.83 - 2*t^7.85 - t^7.86 + t^7.88 + 2*t^7.89 + 2*t^7.94 - 6*t^8.01 + t^8.03 + 2*t^8.04 + 3*t^8.05 + 2*t^8.07 + t^8.14 - 2*t^8.21 + t^8.24 - 2*t^8.25 + t^8.29 + 4*t^8.3 + t^8.34 + 2*t^8.37 + 4*t^8.45 + 3*t^8.46 - t^8.49 + 4*t^8.54 + 4*t^8.61 + 4*t^8.62 + t^8.65 + 6*t^8.7 - t^8.74 + 2*t^8.77 + 8*t^8.78 + t^8.82 + t^8.83 + 2*t^8.85 + 5*t^8.86 - t^8.91 + t^8.93 + 9*t^8.94 + t^8.99 - t^4.61/y - t^6.62/y - t^6.82/y + t^7.22/y + t^7.39/y - t^7.83/y + t^8.23/y + (2*t^8.39)/y + t^8.43/y + (2*t^8.56)/y + (2*t^8.6)/y + t^8.63/y + (2*t^8.76)/y + t^8.79/y - t^8.83/y + (2*t^8.84)/y + t^8.87/y + t^8.92/y - t^4.61*y - t^6.62*y - t^6.82*y + t^7.22*y + t^7.39*y - t^7.83*y + t^8.23*y + 2*t^8.39*y + t^8.43*y + 2*t^8.56*y + 2*t^8.6*y + t^8.63*y + 2*t^8.76*y + t^8.79*y - t^8.83*y + 2*t^8.84*y + t^8.87*y + t^8.92*y | (g3^2*g4^2*t^2.01)/(g1^4*g2^4) + t^2.21/(g3^3*g4^3) + t^3.22/(g1^2*g2^2*g3^2*g4^2) + g1^3*g2^3*t^3.39 + g2^3*g3^3*t^3.55 + g2^3*g4^3*t^3.55 + g1^3*g3^3*t^3.63 + g1^3*g4^3*t^3.63 + g3^3*g4^3*t^3.79 + (g1^3*g3^3*g4^3*t^3.86)/g2^3 + (g1*g2^7*t^3.91)/(g3^2*g4^2) + (g3^6*g4^3*t^4.02)/g2^3 + (g3^4*g4^4*t^4.02)/(g1^8*g2^8) + (g3^3*g4^6*t^4.02)/g2^3 + (g1*g2^4*g3*t^4.15)/g4^2 + (g1*g2^4*g4*t^4.15)/g3^2 + t^4.22/(g1^4*g2^4*g3*g4) + g1*g2*g3*g4*t^4.39 + t^4.43/(g3^6*g4^6) + (g2^5*t^4.92)/(g1*g3*g4) + (g1^2*g2^2*t^5.)/(g3*g4) + (g1^5*t^5.07)/(g2*g3*g4) + (g2^2*g3^2*t^5.16)/(g1*g4) + (g2^2*g4^2*t^5.16)/(g1*g3) + t^5.23/(g1^6*g2^6) + (g1^2*g3^2*t^5.23)/(g2*g4) + (g1^2*g4^2*t^5.23)/(g2*g3) + (g3^5*t^5.39)/(g1*g2*g4) + (2*g3^2*g4^2*t^5.39)/(g1*g2) + (g4^5*t^5.39)/(g1*g2*g3) + t^5.43/(g1^2*g2^2*g3^5*g4^5) + (g3^5*g4^2*t^5.56)/(g1^4*g2) + (g3^2*g4^5*t^5.56)/(g1^4*g2) + (g1^3*g2^3*t^5.6)/(g3^3*g4^3) + (g3^5*g4^2*t^5.63)/(g1*g2^4) + (g3^2*g4^5*t^5.63)/(g1*g2^4) + (g3^5*g4^5*t^5.79)/(g1^4*g2^4) + (g3^5*g4^5*t^5.87)/(g1*g2^7) - 4*t^6. - (g3^3*t^6.)/g4^3 - (g4^3*t^6.)/g3^3 + (g3^6*g4^6*t^6.02)/(g1^12*g2^12) + (g3^8*g4^5*t^6.03)/(g1^4*g2^7) + (g3^5*g4^8*t^6.03)/(g1^4*g2^7) + (g1*g2^7*t^6.13)/(g3^5*g4^5) + (g3*g4*t^6.23)/(g1^8*g2^8) - (g3^3*t^6.24)/g2^3 - (g4^3*t^6.24)/g2^3 + (2*t^6.44)/(g1^4*g2^4*g3^4*g4^4) - (g3^3*g4^3*t^6.48)/g2^6 - (g2^4*t^6.53)/(g1^2*g3^2*g4^2) + (g1*g2*t^6.61)/(g3^2*g4^2) + t^6.64/(g3^9*g4^9) + g1^6*g2^6*t^6.77 + (g2*g3*t^6.77)/(g1^2*g4^2) + (g2*g4*t^6.77)/(g1^2*g3^2) + (g1*g3*t^6.84)/(g2^2*g4^2) + (g1*g4*t^6.84)/(g2^2*g3^2) + g1^3*g2^6*g3^3*t^6.93 + (g2*g3*g4*t^6.93)/g1^5 + g1^3*g2^6*g4^3*t^6.93 + (g3*g4*t^7.)/(g1^2*g2^2) + g1^6*g2^3*g3^3*t^7.01 + g1^6*g2^3*g4^3*t^7.01 + (g1*g3*g4*t^7.08)/g2^5 + g2^6*g3^6*t^7.09 + g2^6*g3^3*g4^3*t^7.09 + g2^6*g4^6*t^7.09 + (g2^5*t^7.13)/(g1*g3^4*g4^4) + (g3^4*g4*t^7.16)/(g1^5*g2^2) + (g3*g4^4*t^7.16)/(g1^5*g2^2) + g1^3*g2^3*g3^6*t^7.17 + 2*g1^3*g2^3*g3^3*g4^3*t^7.17 + g1^3*g2^3*g4^6*t^7.17 + (g3^4*g4*t^7.24)/(g1^2*g2^5) + (g3^2*g4^2*t^7.24)/(g1^10*g2^10) + (g3*g4^4*t^7.24)/(g1^2*g2^5) + g1^6*g3^6*t^7.25 + 2*g1^6*g3^3*g4^3*t^7.25 + g1^6*g4^6*t^7.25 + (g1^5*t^7.29)/(g2*g3^4*g4^4) + (g1^4*g2^10*t^7.3)/(g3^2*g4^2) + g2^3*g3^6*g4^3*t^7.33 + g2^3*g3^3*g4^6*t^7.33 + (g3^7*g4*t^7.4)/(g1^5*g2^5) + (2*g3^4*g4^4*t^7.4)/(g1^5*g2^5) + (g3*g4^7*t^7.4)/(g1^5*g2^5) + 2*g1^3*g3^6*g4^3*t^7.41 + 2*g1^3*g3^3*g4^6*t^7.41 + t^7.44/(g1^6*g2^6*g3^3*g4^3) + (g1*g2^10*g3*t^7.46)/g4^2 + (g1*g2^10*g4*t^7.46)/g3^2 + (g1^6*g3^6*g4^3*t^7.49)/g2^3 + (g1^6*g3^3*g4^6*t^7.49)/g2^3 - (g2^2*t^7.53)/(g1^4*g3*g4) + (g1^4*g2^7*g3*t^7.54)/g4^2 + (g1^4*g2^7*g4*t^7.54)/g3^2 + (g3^7*g4^4*t^7.56)/(g1^8*g2^5) + (g3^4*g4^7*t^7.56)/(g1^8*g2^5) + g3^9*g4^3*t^7.57 + 2*g3^6*g4^6*t^7.57 + g3^3*g4^9*t^7.57 - t^7.61/(g1*g2*g3*g4) + (g3^7*g4^4*t^7.64)/(g1^5*g2^8) + (g3^4*g4^7*t^7.64)/(g1^5*g2^8) + t^7.65/(g1^2*g2^2*g3^8*g4^8) + (g1^3*g3^9*g4^3*t^7.65)/g2^3 + (2*g1^3*g3^6*g4^6*t^7.65)/g2^3 + (g1^3*g3^3*g4^9*t^7.65)/g2^3 - (g1^2*t^7.69)/(g2^4*g3*g4) + (g1*g2^7*g3^4*t^7.7)/g4^2 + g1*g2^7*g3*g4*t^7.7 + (g1*g2^7*g4^4*t^7.7)/g3^2 + (g1^6*g3^6*g4^6*t^7.73)/g2^6 - (g3^2*t^7.77)/(g1^4*g2*g4) - (g4^2*t^7.77)/(g1^4*g2*g3) + (g1^4*g2^4*g3^4*t^7.78)/g4^2 + g1^4*g2^4*g3*g4*t^7.78 + (g1^4*g2^4*g4^4*t^7.78)/g3^2 + (g3^7*g4^7*t^7.8)/(g1^8*g2^8) + (g3^9*g4^6*t^7.81)/g2^3 + (g3^6*g4^9*t^7.81)/g2^3 + (g1^3*g2^3*t^7.82)/(g3^6*g4^6) + (g1^2*g2^14*t^7.83)/(g3^4*g4^4) - (g3^2*t^7.85)/(g1*g2^4*g4) - (g4^2*t^7.85)/(g1*g2^4*g3) - g1^7*g2*g3*g4*t^7.86 + (g3^7*g4^7*t^7.88)/(g1^5*g2^11) + (g1^3*g3^9*g4^6*t^7.89)/g2^6 + (g1^3*g3^6*g4^9*t^7.89)/g2^6 + g1*g2^4*g3^4*g4*t^7.94 + g1*g2^4*g3*g4^4*t^7.94 - (g3^5*t^8.01)/(g1^4*g2^4*g4) - (4*g3^2*g4^2*t^8.01)/(g1^4*g2^4) - (g4^5*t^8.01)/(g1^4*g2^4*g3) + (g3^8*g4^8*t^8.03)/(g1^16*g2^16) + (g3^10*g4^7*t^8.04)/(g1^8*g2^11) + (g3^7*g4^10*t^8.04)/(g1^8*g2^11) + (g3^12*g4^6*t^8.05)/g2^6 + (g3^9*g4^9*t^8.05)/g2^6 + (g3^6*g4^12*t^8.05)/g2^6 + (g1^2*g2^11*t^8.07)/(g3*g4^4) + (g1^2*g2^11*t^8.07)/(g3^4*g4) + (g2^3*t^8.14)/(g1^3*g3^3*g4^3) - (2*t^8.21)/(g3^3*g4^3) + (g3^3*g4^3*t^8.24)/(g1^12*g2^12) - (g3^5*g4^2*t^8.25)/(g1^4*g2^7) - (g3^2*g4^5*t^8.25)/(g1^4*g2^7) + (g1^3*t^8.29)/(g2^3*g3^3*g4^3) + (g1^2*g2^8*g3^2*t^8.3)/g4^4 + (2*g1^2*g2^8*t^8.3)/(g3*g4) + (g1^2*g2^8*g4^2*t^8.3)/g3^4 + (g1*g2^7*t^8.34)/(g3^8*g4^8) + t^8.37/(g1^3*g3^3) + t^8.37/(g1^3*g4^3) + t^8.45/(g2^3*g3^3) + t^8.45/(g2^3*g4^3) + (2*t^8.45)/(g1^8*g2^8*g3^2*g4^2) + (g1^8*g2^2*t^8.46)/(g3*g4) + (g2^8*g3^2*t^8.46)/(g1*g4) + (g2^8*g4^2*t^8.46)/(g1*g3) - (g3^5*g4^5*t^8.49)/(g1^4*g2^10) + (2*g1^2*g2^5*g3^2*t^8.54)/g4 + (2*g1^2*g2^5*g4^2*t^8.54)/g3 + (2*t^8.61)/(g1^3*g2^3) + (g3^3*t^8.61)/(g1^3*g2^3*g4^3) + (g4^3*t^8.61)/(g1^3*g2^3*g3^3) + (2*g1^5*g2^2*g3^2*t^8.62)/g4 + (2*g1^5*g2^2*g4^2*t^8.62)/g3 + (2*t^8.65)/(g1^4*g2^4*g3^7*g4^7) - (g1*g3^7*g4^7*t^8.65)/g2^5 + (g1^8*g3^2*t^8.7)/(g2*g4) + (g2^5*g3^5*t^8.7)/(g1*g4) + (g1^8*g4^2*t^8.7)/(g2*g3) + (2*g2^5*g3^2*g4^2*t^8.7)/g1 + (g2^5*g4^5*t^8.7)/(g1*g3) - (g2^4*t^8.74)/(g1^2*g3^5*g4^5) + (g3^3*t^8.77)/(g1^6*g2^3) + (g4^3*t^8.77)/(g1^6*g2^3) + (2*g1^2*g2^2*g3^5*t^8.78)/g4 + 4*g1^2*g2^2*g3^2*g4^2*t^8.78 + (2*g1^2*g2^2*g4^5*t^8.78)/g3 + (g1*g2*t^8.82)/(g3^5*g4^5) + (g2^12*t^8.83)/(g3^3*g4^3) + (g3^3*t^8.85)/(g1^3*g2^6) + (g4^3*t^8.85)/(g1^3*g2^6) + t^8.86/(g3^12*g4^12) + (g1^5*g3^5*t^8.86)/(g2*g4) + (2*g1^5*g3^2*g4^2*t^8.86)/g2 + (g1^5*g4^5*t^8.86)/(g2*g3) - (g1^3*g2^9*t^8.91)/(g3^3*g4^3) + (g3^3*g4^3*t^8.93)/(g1^9*g2^3) + (g2^2*g3^8*t^8.94)/(g1*g4) + (g1^8*g3^2*g4^2*t^8.94)/g2^4 + (3*g2^2*g3^5*g4^2*t^8.94)/g1 + (3*g2^2*g3^2*g4^5*t^8.94)/g1 + (g2^2*g4^8*t^8.94)/(g1*g3) + (g1^6*g2^6*t^8.99)/(g3^3*g4^3) - t^4.61/(g1*g2*g3*g4*y) - (g3*g4*t^6.62)/(g1^5*g2^5*y) - t^6.82/(g1*g2*g3^4*g4^4*y) + t^7.22/(g1^4*g2^4*g3*g4*y) + (g1*g2*g3*g4*t^7.39)/y - t^7.83/(g1^3*g2^3*g3^3*g4^3*y) + t^8.23/(g1^6*g2^6*y) + (2*g3^2*g4^2*t^8.39)/(g1*g2*y) + t^8.43/(g1^2*g2^2*g3^5*g4^5*y) + (g3^5*g4^2*t^8.56)/(g1^4*g2*y) + (g3^2*g4^5*t^8.56)/(g1^4*g2*y) + (2*g1^3*g2^3*t^8.6)/(g3^3*g4^3*y) + (g3^5*g4^2*t^8.63)/(g1*g2^4*y) - (g3^3*g4^3*t^8.63)/(g1^9*g2^9*y) + (g3^2*g4^5*t^8.63)/(g1*g2^4*y) + (g2^3*t^8.76)/(g3^3*y) + (g2^3*t^8.76)/(g4^3*y) + (g3^5*g4^5*t^8.79)/(g1^4*g2^4*y) - t^8.83/(g1^5*g2^5*g3^2*g4^2*y) + (g1^3*t^8.84)/(g3^3*y) + (g1^3*t^8.84)/(g4^3*y) + (g3^5*g4^5*t^8.87)/(g1*g2^7*y) + (g2^3*t^8.92)/(g1^3*y) - (t^4.61*y)/(g1*g2*g3*g4) - (g3*g4*t^6.62*y)/(g1^5*g2^5) - (t^6.82*y)/(g1*g2*g3^4*g4^4) + (t^7.22*y)/(g1^4*g2^4*g3*g4) + g1*g2*g3*g4*t^7.39*y - (t^7.83*y)/(g1^3*g2^3*g3^3*g4^3) + (t^8.23*y)/(g1^6*g2^6) + (2*g3^2*g4^2*t^8.39*y)/(g1*g2) + (t^8.43*y)/(g1^2*g2^2*g3^5*g4^5) + (g3^5*g4^2*t^8.56*y)/(g1^4*g2) + (g3^2*g4^5*t^8.56*y)/(g1^4*g2) + (2*g1^3*g2^3*t^8.6*y)/(g3^3*g4^3) + (g3^5*g4^2*t^8.63*y)/(g1*g2^4) - (g3^3*g4^3*t^8.63*y)/(g1^9*g2^9) + (g3^2*g4^5*t^8.63*y)/(g1*g2^4) + (g2^3*t^8.76*y)/g3^3 + (g2^3*t^8.76*y)/g4^3 + (g3^5*g4^5*t^8.79*y)/(g1^4*g2^4) - (t^8.83*y)/(g1^5*g2^5*g3^2*g4^2) + (g1^3*t^8.84*y)/g3^3 + (g1^3*t^8.84*y)/g4^3 + (g3^5*g4^5*t^8.87*y)/(g1*g2^7) + (g2^3*t^8.92*y)/g1^3 |
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 |
|---|
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 |
|---|
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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 55687 | SU2adj1nf3 | $\phi_1q_1q_2$ + $ M_1q_2q_3$ + $ M_2q_1\tilde{q}_1$ | 0.8849 | 1.0955 | 0.8078 | [X:[], M:[0.6795, 0.6795], q:[0.7272, 0.7272, 0.5933], qb:[0.5933, 0.5882, 0.5882], phi:[0.5457]] | 2*t^2.04 + t^3.27 + t^3.53 + 4*t^3.54 + t^3.56 + 4*t^3.95 + 2*t^3.96 + 3*t^4.08 + t^4.36 + 3*t^5.17 + 4*t^5.18 + 3*t^5.2 + 2*t^5.31 + 2*t^5.57 + 8*t^5.58 + 2*t^5.6 + 4*t^5.98 - 5*t^6. - t^4.64/y - t^4.64*y | detail |