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 |
|---|---|---|---|---|---|---|---|---|---|
| 1239 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_1$ + $ M_5\phi_1\tilde{q}_1^2$ + $ M_3M_6$ + $ M_4M_6$ + $ M_6M_7$ | 0.6689 | 0.8347 | 0.8013 | [X:[], M:[0.6937, 1.3015, 0.7009, 0.7009, 0.6961, 1.2991, 0.7009], q:[0.829, 0.8218], qb:[0.4773, 0.4749], phi:[0.3493]] | [X:[], M:[[-8, 4], [2, 2], [1, -5], [1, -5], [-5, 1], [-1, 5], [1, -5]], q:[[5, -4], [-4, 5]], qb:[[3, 0], [0, 3]], phi:[[-1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ M_5$, $ M_4$, $ M_7$, $ \tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ M_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_2$, $ M_1^2$, $ M_1M_5$, $ M_1M_4$, $ M_1M_7$, $ M_5^2$, $ M_4M_5$, $ M_5M_7$, $ M_4^2$, $ M_4M_7$, $ M_7^2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ q_1q_2$, $ M_5\tilde{q}_1\tilde{q}_2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_7\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_1q_2\tilde{q}_2$, $ M_5q_2\tilde{q}_2$, $ M_2M_5$, $ M_4q_2\tilde{q}_2$, $ M_7q_2\tilde{q}_2$, $ M_5\phi_1\tilde{q}_1\tilde{q}_2$, $ M_1M_2$, $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ | $M_5q_1\tilde{q}_2$ | -2 | t^2.08 + t^2.09 + 2*t^2.1 + t^2.86 + t^3.89 + 2*t^3.9 + t^3.91 + t^4.16 + t^4.17 + 3*t^4.18 + 2*t^4.19 + 3*t^4.21 + t^4.94 + 2*t^4.95 + 2*t^4.96 + t^5.71 + t^5.97 + t^5.98 + 4*t^5.99 - 2*t^6. + 3*t^6.01 + t^6.24 + t^6.25 + 4*t^6.26 + 2*t^6.27 + 2*t^6.28 + 6*t^6.29 + 4*t^6.31 + t^6.75 + 2*t^6.76 + t^6.77 + t^7.02 + 2*t^7.03 + t^7.04 + 2*t^7.06 + t^7.78 + 2*t^7.79 + t^7.81 + 2*t^7.82 + t^8.05 + t^8.06 + 4*t^8.07 - 2*t^8.09 - 2*t^8.1 + 2*t^8.11 + t^8.12 + t^8.32 + t^8.33 + t^8.34 + 6*t^8.35 + 2*t^8.36 + 8*t^8.37 + 3*t^8.38 + 4*t^8.39 + 4*t^8.4 + 5*t^8.41 + t^8.57 + t^8.83 + 2*t^8.84 + t^8.85 - t^8.86 - t^4.05/y - t^6.13/y - t^6.14/y - (2*t^6.15)/y + t^7.17/y + (2*t^7.18)/y + (2*t^7.19)/y + t^7.21/y + t^7.94/y + (3*t^7.95)/y + (3*t^7.96)/y + t^7.97/y - t^8.21/y - (2*t^8.22)/y - (2*t^8.23)/y - (2*t^8.24)/y - (3*t^8.25)/y + t^8.97/y + t^8.98/y + (7*t^8.99)/y - t^4.05*y - t^6.13*y - t^6.14*y - 2*t^6.15*y + t^7.17*y + 2*t^7.18*y + 2*t^7.19*y + t^7.21*y + t^7.94*y + 3*t^7.95*y + 3*t^7.96*y + t^7.97*y - t^8.21*y - 2*t^8.22*y - 2*t^8.23*y - 2*t^8.24*y - 3*t^8.25*y + t^8.97*y + t^8.98*y + 7*t^8.99*y | (g2^4*t^2.08)/g1^8 + (g2*t^2.09)/g1^5 + (2*g1*t^2.1)/g2^5 + g1^3*g2^3*t^2.86 + (g2^8*t^3.89)/g1^4 + 2*g1^2*g2^2*t^3.9 + (g1^5*t^3.91)/g2 + (g2^8*t^4.16)/g1^16 + (g2^5*t^4.17)/g1^13 + (2*t^4.18)/(g1^7*g2) + (g2^2*t^4.18)/g1^10 + (2*t^4.19)/(g1^4*g2^4) + (3*g1^2*t^4.21)/g2^10 + (g2^7*t^4.94)/g1^5 + g1*g2*t^4.95 + (g2^4*t^4.95)/g1^2 + (2*g1^4*t^4.96)/g2^2 + g1^6*g2^6*t^5.71 + (g2^12*t^5.97)/g1^12 + (g2^9*t^5.98)/g1^9 + (3*g2^3*t^5.99)/g1^3 + (g2^6*t^5.99)/g1^6 - 2*t^6. + (g1^6*t^6.01)/g2^6 + (2*g1^3*t^6.01)/g2^3 + (g2^12*t^6.24)/g1^24 + (g2^9*t^6.25)/g1^21 + (3*g2^3*t^6.26)/g1^15 + (g2^6*t^6.26)/g1^18 + (2*t^6.27)/g1^12 + (2*t^6.28)/(g1^9*g2^3) + (3*t^6.29)/(g1^3*g2^9) + (3*t^6.29)/(g1^6*g2^6) + (4*g1^3*t^6.31)/g2^15 + (g2^11*t^6.75)/g1 + 2*g1^5*g2^5*t^6.76 + g1^8*g2^2*t^6.77 + (g2^11*t^7.02)/g1^13 + (g2^5*t^7.03)/g1^7 + (g2^8*t^7.03)/g1^10 + (g2^2*t^7.04)/g1^4 + (2*g1^5*t^7.06)/g2^7 + (g2^16*t^7.78)/g1^8 + (2*g2^10*t^7.79)/g1^2 + g1^4*g2^4*t^7.81 + 2*g1^7*g2*t^7.82 + (g2^16*t^8.05)/g1^20 + (g2^13*t^8.06)/g1^17 + (2*g2^7*t^8.07)/g1^11 + (2*g2^10*t^8.07)/g1^14 - (2*g2*t^8.09)/g1^5 - (5*g1*t^8.1)/g2^5 + (3*t^8.1)/(g1^2*g2^2) + (2*g1^4*t^8.11)/g2^8 + (g1^7*t^8.12)/g2^11 + (g2^16*t^8.32)/g1^32 + (g2^13*t^8.33)/g1^29 + (g2^10*t^8.34)/g1^26 + (3*g2^4*t^8.35)/g1^20 + (3*g2^7*t^8.35)/g1^23 + (2*g2*t^8.36)/g1^17 + (3*t^8.37)/(g1^11*g2^5) + (5*t^8.37)/(g1^14*g2^2) + (3*t^8.38)/(g1^8*g2^8) + (4*t^8.39)/(g1^5*g2^11) + (4*t^8.4)/(g1^2*g2^14) + (5*g1^4*t^8.41)/g2^20 + g1^9*g2^9*t^8.57 + (g2^15*t^8.83)/g1^9 + (g2^9*t^8.84)/g1^3 + (g2^12*t^8.84)/g1^6 + g2^6*t^8.85 + g1^6*t^8.86 - 2*g1^3*g2^3*t^8.86 - t^4.05/(g1*g2*y) - (g2^3*t^6.13)/(g1^9*y) - t^6.14/(g1^6*y) - (2*t^6.15)/(g2^6*y) + (g2^5*t^7.17)/(g1^13*y) + (2*t^7.18)/(g1^7*g2*y) + (2*t^7.19)/(g1^4*g2^4*y) + (g1^2*t^7.21)/(g2^10*y) + (g2^7*t^7.94)/(g1^5*y) + (3*g2^4*t^7.95)/(g1^2*y) + (3*g1^4*t^7.96)/(g2^2*y) + (g1^7*t^7.97)/(g2^5*y) - (g2^7*t^8.21)/(g1^17*y) - (g2*t^8.22)/(g1^11*y) - (g2^4*t^8.22)/(g1^14*y) - (2*t^8.23)/(g1^8*g2^2*y) - (2*t^8.24)/(g1^5*g2^5*y) - (3*g1*t^8.25)/(g2^11*y) + (g2^12*t^8.97)/(g1^12*y) + (g2^9*t^8.98)/(g1^9*y) + (5*g2^3*t^8.99)/(g1^3*y) + (2*g2^6*t^8.99)/(g1^6*y) - (t^4.05*y)/(g1*g2) - (g2^3*t^6.13*y)/g1^9 - (t^6.14*y)/g1^6 - (2*t^6.15*y)/g2^6 + (g2^5*t^7.17*y)/g1^13 + (2*t^7.18*y)/(g1^7*g2) + (2*t^7.19*y)/(g1^4*g2^4) + (g1^2*t^7.21*y)/g2^10 + (g2^7*t^7.94*y)/g1^5 + (3*g2^4*t^7.95*y)/g1^2 + (3*g1^4*t^7.96*y)/g2^2 + (g1^7*t^7.97*y)/g2^5 - (g2^7*t^8.21*y)/g1^17 - (g2*t^8.22*y)/g1^11 - (g2^4*t^8.22*y)/g1^14 - (2*t^8.23*y)/(g1^8*g2^2) - (2*t^8.24*y)/(g1^5*g2^5) - (3*g1*t^8.25*y)/g2^11 + (g2^12*t^8.97*y)/g1^12 + (g2^9*t^8.98*y)/g1^9 + (5*g2^3*t^8.99*y)/g1^3 + (2*g2^6*t^8.99*y)/g1^6 |
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 |
|---|---|---|---|---|---|---|---|---|
| 2307 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_1$ + $ M_5\phi_1\tilde{q}_1^2$ + $ M_3M_6$ + $ M_4M_6$ + $ M_6M_7$ + $ M_8q_1\tilde{q}_2$ | 0.6895 | 0.8748 | 0.7882 | [X:[], M:[0.6875, 1.3043, 0.6997, 0.6997, 0.6916, 1.3003, 0.6997, 0.6916], q:[0.8322, 0.82], qb:[0.4803, 0.4762], phi:[0.3478]] | t^2.06 + 2*t^2.07 + 2*t^2.1 + t^2.87 + t^3.89 + 2*t^3.91 + t^4.13 + 2*t^4.14 + 3*t^4.15 + 2*t^4.16 + 4*t^4.17 + 3*t^4.2 + t^4.93 + 2*t^4.94 + t^4.96 + 2*t^4.97 + t^5.74 + t^5.95 + 2*t^5.96 + t^5.98 + 4*t^5.99 - 3*t^6. - t^4.04/y - t^4.04*y | detail | |
| 2306 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_1$ + $ M_5\phi_1\tilde{q}_1^2$ + $ M_3M_6$ + $ M_4M_6$ + $ M_6M_7$ + $ M_8q_2\tilde{q}_2$ | 0.6895 | 0.8744 | 0.7885 | [X:[], M:[0.6983, 1.305, 0.6933, 0.6933, 0.6966, 1.3067, 0.6933, 0.6916], q:[0.8238, 0.8287], qb:[0.4779, 0.4796], phi:[0.3475]] | t^2.07 + 2*t^2.08 + 2*t^2.09 + t^2.87 + t^3.91 + 2*t^3.92 + 3*t^4.15 + 4*t^4.16 + 5*t^4.17 + 2*t^4.18 + t^4.19 + 3*t^4.95 + 2*t^4.96 + t^4.97 + t^5.75 + 4*t^5.99 + t^6. - t^4.04/y - t^4.04*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 |
|---|---|---|---|---|---|---|---|---|---|
| 754 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_1$ + $ M_5\phi_1\tilde{q}_1^2$ + $ M_3M_6$ + $ M_4M_6$ | 0.6485 | 0.7962 | 0.8144 | [X:[], M:[0.6921, 1.2959, 0.7101, 0.7101, 0.6981, 1.2899], q:[0.833, 0.8149], qb:[0.4749, 0.4689], phi:[0.3521]] | t^2.08 + t^2.09 + t^2.13 + t^2.83 + t^3.85 + t^3.87 + 2*t^3.89 + t^3.91 + t^4.15 + t^4.17 + t^4.19 + t^4.21 + t^4.22 + t^4.26 + t^4.91 + t^4.93 + t^4.94 + t^4.96 + t^5.66 + t^5.93 + 2*t^5.95 + 2*t^5.96 + 2*t^5.98 - t^6. - t^4.06/y - t^4.06*y | detail |