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 |
|---|---|---|---|---|---|---|---|---|---|
| 45886 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_2\tilde{q}_1$ + $ M_3\phi_1q_1^2$ | 0.6693 | 0.8377 | 0.7989 | [X:[], M:[0.6919, 0.6919, 0.6801], q:[0.4841, 0.8241], qb:[0.8241, 0.4605], phi:[0.3518]] | [X:[], M:[[-4, -3, 1], [-3, -4, 1], [-5, -5, 2]], 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 |
|---|---|---|---|---|
| $M_3$, $ M_2$, $ M_1$, $ \phi_1^2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_2\tilde{q}_2$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ M_3^2$, $ M_2M_3$, $ M_1M_3$, $ M_2^2$, $ M_1M_2$, $ M_3\phi_1^2$, $ M_1^2$, $ M_2\phi_1^2$, $ M_1\phi_1^2$, $ \phi_1^4$, $ M_3q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ \phi_1^2q_1\tilde{q}_2$, $ q_1^2\tilde{q}_2^2$, $ M_3\phi_1\tilde{q}_2^2$, $ M_3q_2\tilde{q}_2$, $ M_2\phi_1\tilde{q}_2^2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_1\phi_1\tilde{q}_2^2$, $ M_2q_2\tilde{q}_2$, $ M_3\phi_1q_1\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ \phi_1^3\tilde{q}_2^2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$ | $\phi_1q_2^2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1^3q_1\tilde{q}_2$ | -2 | t^2.04 + 2*t^2.08 + t^2.11 + t^2.83 + t^3.82 + 2*t^3.85 + t^3.89 + t^4.08 + 2*t^4.12 + 4*t^4.15 + 2*t^4.19 + t^4.22 + t^4.87 + 2*t^4.91 + 2*t^4.94 + t^5.67 + t^5.86 + 4*t^5.89 + 5*t^5.93 + 2*t^5.96 - 2*t^6. - 2*t^6.04 - t^6.07 + t^6.12 + 2*t^6.16 + 4*t^6.19 + 6*t^6.23 + 4*t^6.26 + 2*t^6.3 + t^6.33 + t^6.65 + 2*t^6.69 + t^6.72 + t^6.91 + 2*t^6.95 + 4*t^6.98 + 2*t^7.02 - 2*t^7.09 - t^7.13 + t^7.64 + 2*t^7.67 + 4*t^7.71 + 2*t^7.74 - 2*t^7.81 - t^7.85 + t^7.9 + 4*t^7.93 + 8*t^7.97 + 8*t^8. + t^8.04 - 6*t^8.08 - 6*t^8.11 - 4*t^8.15 + t^8.16 - t^8.18 + 2*t^8.2 + 4*t^8.23 + 6*t^8.27 + 9*t^8.3 + 6*t^8.34 + 4*t^8.37 + 2*t^8.41 + t^8.44 + t^8.5 + t^8.69 + 4*t^8.73 + 5*t^8.76 + 2*t^8.8 - 3*t^8.83 - 4*t^8.87 - 2*t^8.9 + t^8.95 + 2*t^8.99 - t^4.06/y - t^6.1/y - (2*t^6.13)/y - t^6.17/y + (2*t^7.12)/y + (2*t^7.15)/y + (2*t^7.19)/y + t^7.87/y + (2*t^7.91)/y + (2*t^7.94)/y + (2*t^7.98)/y + t^8.02/y - t^8.14/y - (2*t^8.17)/y - (4*t^8.21)/y - (2*t^8.24)/y - t^8.28/y + t^8.86/y + (4*t^8.89)/y + (6*t^8.93)/y + (4*t^8.96)/y - t^4.06*y - t^6.1*y - 2*t^6.13*y - t^6.17*y + 2*t^7.12*y + 2*t^7.15*y + 2*t^7.19*y + t^7.87*y + 2*t^7.91*y + 2*t^7.94*y + 2*t^7.98*y + t^8.02*y - t^8.14*y - 2*t^8.17*y - 4*t^8.21*y - 2*t^8.24*y - t^8.28*y + t^8.86*y + 4*t^8.89*y + 6*t^8.93*y + 4*t^8.96*y | (g3^2*t^2.04)/(g1^5*g2^5) + (g3*t^2.08)/(g1^3*g2^4) + (g3*t^2.08)/(g1^4*g2^3) + t^2.11/(g1^2*g2^2) + g1^3*g2^3*t^2.83 + (g3^2*t^3.82)/(g1*g2) + g1*g3*t^3.85 + g2*g3*t^3.85 + g1^2*g2^2*t^3.89 + (g3^4*t^4.08)/(g1^10*g2^10) + (g3^3*t^4.12)/(g1^8*g2^9) + (g3^3*t^4.12)/(g1^9*g2^8) + (g3^2*t^4.15)/(g1^6*g2^8) + (2*g3^2*t^4.15)/(g1^7*g2^7) + (g3^2*t^4.15)/(g1^8*g2^6) + (g3*t^4.19)/(g1^5*g2^6) + (g3*t^4.19)/(g1^6*g2^5) + t^4.22/(g1^4*g2^4) + (g3^2*t^4.87)/(g1^2*g2^2) + (g3*t^4.91)/g1 + (g3*t^4.91)/g2 + 2*g1*g2*t^4.94 + g1^6*g2^6*t^5.67 + (g3^4*t^5.86)/(g1^6*g2^6) + (2*g3^3*t^5.89)/(g1^4*g2^5) + (2*g3^3*t^5.89)/(g1^5*g2^4) + (g3^2*t^5.93)/(g1^2*g2^4) + (3*g3^2*t^5.93)/(g1^3*g2^3) + (g3^2*t^5.93)/(g1^4*g2^2) + (g3*t^5.96)/(g1*g2^2) + (g3*t^5.96)/(g1^2*g2) - 2*t^6. - (g1^2*g2*t^6.04)/g3 - (g1*g2^2*t^6.04)/g3 - (g1^3*g2^3*t^6.07)/g3^2 + (g3^6*t^6.12)/(g1^15*g2^15) + (g3^5*t^6.16)/(g1^13*g2^14) + (g3^5*t^6.16)/(g1^14*g2^13) + (g3^4*t^6.19)/(g1^11*g2^13) + (2*g3^4*t^6.19)/(g1^12*g2^12) + (g3^4*t^6.19)/(g1^13*g2^11) + (g3^3*t^6.23)/(g1^9*g2^12) + (2*g3^3*t^6.23)/(g1^10*g2^11) + (2*g3^3*t^6.23)/(g1^11*g2^10) + (g3^3*t^6.23)/(g1^12*g2^9) + (g3^2*t^6.26)/(g1^8*g2^10) + (2*g3^2*t^6.26)/(g1^9*g2^9) + (g3^2*t^6.26)/(g1^10*g2^8) + (g3*t^6.3)/(g1^7*g2^8) + (g3*t^6.3)/(g1^8*g2^7) + t^6.33/(g1^6*g2^6) + g1^2*g2^2*g3^2*t^6.65 + g1^4*g2^3*g3*t^6.69 + g1^3*g2^4*g3*t^6.69 + g1^5*g2^5*t^6.72 + (g3^4*t^6.91)/(g1^7*g2^7) + (g3^3*t^6.95)/(g1^5*g2^6) + (g3^3*t^6.95)/(g1^6*g2^5) + (g3^2*t^6.98)/(g1^3*g2^5) + (2*g3^2*t^6.98)/(g1^4*g2^4) + (g3^2*t^6.98)/(g1^5*g2^3) + (g3*t^7.02)/(g1^2*g2^3) + (g3*t^7.02)/(g1^3*g2^2) - (g1*t^7.09)/g3 - (g2*t^7.09)/g3 - (g1^2*g2^2*t^7.13)/g3^2 + (g3^4*t^7.64)/(g1^2*g2^2) + (g3^3*t^7.67)/g1 + (g3^3*t^7.67)/g2 + g1^2*g3^2*t^7.71 + 2*g1*g2*g3^2*t^7.71 + g2^2*g3^2*t^7.71 + g1^3*g2^2*g3*t^7.74 + g1^2*g2^3*g3*t^7.74 - (g1^6*g2^5*t^7.81)/g3 - (g1^5*g2^6*t^7.81)/g3 - (g1^7*g2^7*t^7.85)/g3^2 + (g3^6*t^7.9)/(g1^11*g2^11) + (2*g3^5*t^7.93)/(g1^9*g2^10) + (2*g3^5*t^7.93)/(g1^10*g2^9) + (2*g3^4*t^7.97)/(g1^7*g2^9) + (4*g3^4*t^7.97)/(g1^8*g2^8) + (2*g3^4*t^7.97)/(g1^9*g2^7) + (g3^3*t^8.)/(g1^5*g2^8) + (3*g3^3*t^8.)/(g1^6*g2^7) + (3*g3^3*t^8.)/(g1^7*g2^6) + (g3^3*t^8.)/(g1^8*g2^5) + (g3^2*t^8.04)/(g1^4*g2^6) - (g3^2*t^8.04)/(g1^5*g2^5) + (g3^2*t^8.04)/(g1^6*g2^4) - (3*g3*t^8.08)/(g1^3*g2^4) - (3*g3*t^8.08)/(g1^4*g2^3) - t^8.11/(g1*g2^3) - (4*t^8.11)/(g1^2*g2^2) - t^8.11/(g1^3*g2) - (2*t^8.15)/(g1*g3) - (2*t^8.15)/(g2*g3) + (g3^8*t^8.16)/(g1^20*g2^20) - (g1*g2*t^8.18)/g3^2 + (g3^7*t^8.2)/(g1^18*g2^19) + (g3^7*t^8.2)/(g1^19*g2^18) + (g3^6*t^8.23)/(g1^16*g2^18) + (2*g3^6*t^8.23)/(g1^17*g2^17) + (g3^6*t^8.23)/(g1^18*g2^16) + (g3^5*t^8.27)/(g1^14*g2^17) + (2*g3^5*t^8.27)/(g1^15*g2^16) + (2*g3^5*t^8.27)/(g1^16*g2^15) + (g3^5*t^8.27)/(g1^17*g2^14) + (g3^4*t^8.3)/(g1^12*g2^16) + (2*g3^4*t^8.3)/(g1^13*g2^15) + (3*g3^4*t^8.3)/(g1^14*g2^14) + (2*g3^4*t^8.3)/(g1^15*g2^13) + (g3^4*t^8.3)/(g1^16*g2^12) + (g3^3*t^8.34)/(g1^11*g2^14) + (2*g3^3*t^8.34)/(g1^12*g2^13) + (2*g3^3*t^8.34)/(g1^13*g2^12) + (g3^3*t^8.34)/(g1^14*g2^11) + (g3^2*t^8.37)/(g1^10*g2^12) + (2*g3^2*t^8.37)/(g1^11*g2^11) + (g3^2*t^8.37)/(g1^12*g2^10) + (g3*t^8.41)/(g1^9*g2^10) + (g3*t^8.41)/(g1^10*g2^9) + t^8.44/(g1^8*g2^8) + g1^9*g2^9*t^8.5 + (g3^4*t^8.69)/(g1^3*g2^3) + (2*g3^3*t^8.73)/(g1*g2^2) + (2*g3^3*t^8.73)/(g1^2*g2) + 3*g3^2*t^8.76 + (g1*g3^2*t^8.76)/g2 + (g2*g3^2*t^8.76)/g1 + g1^2*g2*g3*t^8.8 + g1*g2^2*g3*t^8.8 - 3*g1^3*g2^3*t^8.83 - (2*g1^5*g2^4*t^8.87)/g3 - (2*g1^4*g2^5*t^8.87)/g3 - (2*g1^6*g2^6*t^8.9)/g3^2 + (g3^6*t^8.95)/(g1^12*g2^12) + (g3^5*t^8.99)/(g1^10*g2^11) + (g3^5*t^8.99)/(g1^11*g2^10) - t^4.06/(g1*g2*y) - (g3^2*t^6.1)/(g1^6*g2^6*y) - (g3*t^6.13)/(g1^4*g2^5*y) - (g3*t^6.13)/(g1^5*g2^4*y) - t^6.17/(g1^3*g2^3*y) + (g3^3*t^7.12)/(g1^8*g2^9*y) + (g3^3*t^7.12)/(g1^9*g2^8*y) + (2*g3^2*t^7.15)/(g1^7*g2^7*y) + (g3*t^7.19)/(g1^5*g2^6*y) + (g3*t^7.19)/(g1^6*g2^5*y) + (g3^2*t^7.87)/(g1^2*g2^2*y) + (g3*t^7.91)/(g1*y) + (g3*t^7.91)/(g2*y) + (2*g1*g2*t^7.94)/y + (g1^3*g2^2*t^7.98)/(g3*y) + (g1^2*g2^3*t^7.98)/(g3*y) + (g1^4*g2^4*t^8.02)/(g3^2*y) - (g3^4*t^8.14)/(g1^11*g2^11*y) - (g3^3*t^8.17)/(g1^9*g2^10*y) - (g3^3*t^8.17)/(g1^10*g2^9*y) - (g3^2*t^8.21)/(g1^7*g2^9*y) - (2*g3^2*t^8.21)/(g1^8*g2^8*y) - (g3^2*t^8.21)/(g1^9*g2^7*y) - (g3*t^8.24)/(g1^6*g2^7*y) - (g3*t^8.24)/(g1^7*g2^6*y) - t^8.28/(g1^5*g2^5*y) + (g3^4*t^8.86)/(g1^6*g2^6*y) + (2*g3^3*t^8.89)/(g1^4*g2^5*y) + (2*g3^3*t^8.89)/(g1^5*g2^4*y) + (g3^2*t^8.93)/(g1^2*g2^4*y) + (4*g3^2*t^8.93)/(g1^3*g2^3*y) + (g3^2*t^8.93)/(g1^4*g2^2*y) + (2*g3*t^8.96)/(g1*g2^2*y) + (2*g3*t^8.96)/(g1^2*g2*y) - (t^4.06*y)/(g1*g2) - (g3^2*t^6.1*y)/(g1^6*g2^6) - (g3*t^6.13*y)/(g1^4*g2^5) - (g3*t^6.13*y)/(g1^5*g2^4) - (t^6.17*y)/(g1^3*g2^3) + (g3^3*t^7.12*y)/(g1^8*g2^9) + (g3^3*t^7.12*y)/(g1^9*g2^8) + (2*g3^2*t^7.15*y)/(g1^7*g2^7) + (g3*t^7.19*y)/(g1^5*g2^6) + (g3*t^7.19*y)/(g1^6*g2^5) + (g3^2*t^7.87*y)/(g1^2*g2^2) + (g3*t^7.91*y)/g1 + (g3*t^7.91*y)/g2 + 2*g1*g2*t^7.94*y + (g1^3*g2^2*t^7.98*y)/g3 + (g1^2*g2^3*t^7.98*y)/g3 + (g1^4*g2^4*t^8.02*y)/g3^2 - (g3^4*t^8.14*y)/(g1^11*g2^11) - (g3^3*t^8.17*y)/(g1^9*g2^10) - (g3^3*t^8.17*y)/(g1^10*g2^9) - (g3^2*t^8.21*y)/(g1^7*g2^9) - (2*g3^2*t^8.21*y)/(g1^8*g2^8) - (g3^2*t^8.21*y)/(g1^9*g2^7) - (g3*t^8.24*y)/(g1^6*g2^7) - (g3*t^8.24*y)/(g1^7*g2^6) - (t^8.28*y)/(g1^5*g2^5) + (g3^4*t^8.86*y)/(g1^6*g2^6) + (2*g3^3*t^8.89*y)/(g1^4*g2^5) + (2*g3^3*t^8.89*y)/(g1^5*g2^4) + (g3^2*t^8.93*y)/(g1^2*g2^4) + (4*g3^2*t^8.93*y)/(g1^3*g2^3) + (g3^2*t^8.93*y)/(g1^4*g2^2) + (2*g3*t^8.96*y)/(g1*g2^2) + (2*g3*t^8.96*y)/(g1^2*g2) |
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 |
|---|---|---|---|---|---|---|---|---|
| 45971 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_2\tilde{q}_1$ + $ M_3\phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ \phi_1^2X_1$ | 0.5838 | 0.6909 | 0.845 | [X:[1.4275], M:[0.7156, 0.7156, 0.8588], q:[0.4275, 0.8569], qb:[0.8569, 0.7137], phi:[0.2863]] | 2*t^2.15 + t^2.58 + t^3.42 + 2*t^4.28 + 3*t^4.29 + 2*t^4.71 + 2*t^4.72 + t^5.14 + t^5.15 - 3*t^6. - t^3.86/y - t^3.86*y | detail | |
| 46063 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_2\tilde{q}_1$ + $ M_3\phi_1q_1^2$ + $ M_3^2$ | 0.5986 | 0.7318 | 0.8179 | [X:[], M:[0.8772, 0.8772, 1.0], q:[0.3114, 0.8114], qb:[0.8114, 0.5569], phi:[0.3772]] | t^2.26 + t^2.6 + 2*t^2.63 + t^3. + t^3.74 + 2*t^4.1 + t^4.47 + t^4.53 + 2*t^4.87 + 2*t^4.9 + t^5.21 + 2*t^5.24 + 3*t^5.26 + t^5.6 - t^6. - t^4.13/y - t^4.13*y | detail | |
| 45980 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_2\tilde{q}_1$ + $ M_3\phi_1q_1^2$ + $ M_4\phi_1^2$ | 0.6489 | 0.7994 | 0.8117 | [X:[], M:[0.6959, 0.6959, 0.6824, 1.2905], q:[0.4814, 0.8226], qb:[0.8226, 0.4543], phi:[0.3548]] | t^2.05 + 2*t^2.09 + t^2.81 + t^3.79 + 2*t^3.83 + 2*t^3.87 + t^4.09 + 2*t^4.13 + 3*t^4.18 + t^4.85 + 2*t^4.9 + t^4.94 + t^5.61 + t^5.84 + 4*t^5.88 + 5*t^5.92 + 2*t^5.96 - 3*t^6. - t^4.06/y - t^4.06*y | detail | |
| 45958 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_2\tilde{q}_1$ + $ M_3\phi_1q_1^2$ + $ M_4q_2\tilde{q}_2$ | 0.6897 | 0.8762 | 0.7872 | [X:[], M:[0.6829, 0.6979, 0.6829, 0.6979], q:[0.4841, 0.8331], qb:[0.818, 0.469], phi:[0.349]] | 2*t^2.05 + 3*t^2.09 + t^2.86 + 2*t^3.86 + t^3.91 + 3*t^4.1 + 6*t^4.14 + 6*t^4.19 + 2*t^4.91 + 4*t^4.95 + t^5.72 + 4*t^5.91 + 6*t^5.95 - 2*t^6. - t^4.05/y - t^4.05*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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 45860 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_2\tilde{q}_1$ | 0.6485 | 0.7967 | 0.8141 | [X:[], M:[0.696, 0.696], q:[0.4802, 0.8238], qb:[0.8238, 0.4626], phi:[0.3524]] | 2*t^2.09 + t^2.11 + t^2.83 + t^3.83 + 2*t^3.86 + t^3.89 + t^3.94 + 3*t^4.18 + 2*t^4.2 + t^4.23 + 2*t^4.92 + 2*t^4.94 + t^5.66 + 2*t^5.92 + 4*t^5.95 + 2*t^5.97 - 2*t^6. - t^4.06/y - t^4.06*y | detail |