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 |
|---|---|---|---|---|---|---|---|---|---|
| 6885 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1\tilde{q}_2$ + $ M_2M_5$ + $ M_5M_7$ + $ M_8\phi_1\tilde{q}_1^2$ + $ M_1M_9$ | 0.655 | 0.8752 | 0.7484 | [X:[], M:[0.9539, 1.1382, 0.7697, 0.7072, 0.8618, 0.7993, 1.1382, 0.6776, 1.0461], q:[0.7385, 0.3076], qb:[0.3997, 0.4622], phi:[0.523]] | [X:[], M:[[4], [-12], [20], [-18], [12], [-26], [-12], [28], [-4]], q:[[1], [-5]], qb:[[-13], [25]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_8$, $ M_4$, $ q_2\tilde{q}_1$, $ M_3$, $ q_2\tilde{q}_2$, $ M_6$, $ M_9$, $ \phi_1^2$, $ M_2$, $ M_7$, $ \phi_1q_2^2$, $ M_8^2$, $ M_4M_8$, $ M_8q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ M_4q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ M_3M_8$, $ M_8q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_3M_4$, $ M_6M_8$, $ M_3q_2\tilde{q}_1$, $ M_4q_2\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_4M_6$, $ M_6q_2\tilde{q}_1$, $ M_3^2$, $ M_3q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_3M_6$, $ \phi_1q_1q_2$, $ M_6q_2\tilde{q}_2$, $ M_6^2$, $ M_8M_9$, $ M_8\phi_1^2$, $ \phi_1q_1\tilde{q}_2$, $ M_4M_9$, $ M_4\phi_1^2$, $ M_9q_2\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ M_2M_8$, $ M_7M_8$, $ M_3M_9$, $ M_3\phi_1^2$, $ M_8\phi_1q_2^2$, $ M_9q_2\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_2M_4$, $ M_4M_7$, $ M_6M_9$, $ M_6\phi_1^2$, $ M_4\phi_1q_2^2$, $ M_7q_2\tilde{q}_1$, $ \phi_1q_2^3\tilde{q}_1$, $ M_2M_3$, $ M_3M_7$, $ M_3\phi_1q_2^2$, $ M_7q_2\tilde{q}_2$, $ \phi_1q_2^3\tilde{q}_2$, $ M_2M_6$, $ M_6M_7$, $ M_6\phi_1q_2^2$ | . | -4 | t^2.03 + 2*t^2.12 + 2*t^2.31 + t^2.4 + 2*t^3.14 + 3*t^3.41 + t^4.07 + 3*t^4.15 + 3*t^4.24 + 3*t^4.34 + 5*t^4.43 + 2*t^4.52 + 3*t^4.62 + 2*t^4.71 + t^4.8 + 2*t^5.17 + 4*t^5.26 + 7*t^5.45 + 7*t^5.54 + 4*t^5.72 + 2*t^5.81 - 4*t^6. + t^6.1 + 2*t^6.19 + 4*t^6.28 + 7*t^6.37 + 7*t^6.46 + 13*t^6.55 + 3*t^6.64 + 5*t^6.65 + 7*t^6.74 + 8*t^6.83 + 2*t^6.92 + 4*t^6.93 + t^7.19 + t^7.2 + 2*t^7.29 + 4*t^7.38 + 8*t^7.48 + 13*t^7.57 + 11*t^7.66 + 10*t^7.76 + 9*t^7.85 + 5*t^7.93 - 2*t^8.03 - 6*t^8.12 + t^8.13 + 2*t^8.21 + 2*t^8.22 - 6*t^8.31 + t^8.4 + 3*t^8.41 + 5*t^8.49 + 6*t^8.5 + 13*t^8.59 + 18*t^8.67 + 6*t^8.68 + 4*t^8.76 + 10*t^8.77 + 20*t^8.86 + 15*t^8.95 + 7*t^8.96 - t^4.57/y - t^6.6/y - t^6.69/y - t^6.88/y - t^6.97/y + (3*t^7.15)/y + t^7.24/y + (2*t^7.34)/y + (6*t^7.43)/y + (2*t^7.52)/y + t^7.62/y + t^7.71/y - t^7.98/y + (3*t^8.17)/y + (5*t^8.26)/y + (8*t^8.45)/y + (9*t^8.54)/y - t^8.63/y + (5*t^8.72)/y + (2*t^8.81)/y - t^8.91/y - t^4.57*y - t^6.6*y - t^6.69*y - t^6.88*y - t^6.97*y + 3*t^7.15*y + t^7.24*y + 2*t^7.34*y + 6*t^7.43*y + 2*t^7.52*y + t^7.62*y + t^7.71*y - t^7.98*y + 3*t^8.17*y + 5*t^8.26*y + 8*t^8.45*y + 9*t^8.54*y - t^8.63*y + 5*t^8.72*y + 2*t^8.81*y - t^8.91*y | g1^28*t^2.03 + (2*t^2.12)/g1^18 + 2*g1^20*t^2.31 + t^2.4/g1^26 + (2*t^3.14)/g1^4 + (3*t^3.41)/g1^12 + g1^56*t^4.07 + 3*g1^10*t^4.15 + (3*t^4.24)/g1^36 + 3*g1^48*t^4.34 + 5*g1^2*t^4.43 + (2*t^4.52)/g1^44 + 3*g1^40*t^4.62 + (2*t^4.71)/g1^6 + t^4.8/g1^52 + 2*g1^24*t^5.17 + (4*t^5.26)/g1^22 + 7*g1^16*t^5.45 + (7*t^5.54)/g1^30 + 4*g1^8*t^5.72 + (2*t^5.81)/g1^38 - 4*t^6. + g1^84*t^6.1 + 2*g1^38*t^6.19 + (4*t^6.28)/g1^8 + (4*t^6.37)/g1^54 + 3*g1^76*t^6.37 + 7*g1^30*t^6.46 + (13*t^6.55)/g1^16 + (3*t^6.64)/g1^62 + 5*g1^68*t^6.65 + 7*g1^22*t^6.74 + (8*t^6.83)/g1^24 + (2*t^6.92)/g1^70 + 4*g1^60*t^6.93 + t^7.19/g1^78 + g1^52*t^7.2 + 2*g1^6*t^7.29 + (4*t^7.38)/g1^40 + 8*g1^44*t^7.48 + (13*t^7.57)/g1^2 + (11*t^7.66)/g1^48 + 10*g1^36*t^7.76 + (9*t^7.85)/g1^10 + (5*t^7.93)/g1^56 - 2*g1^28*t^8.03 - (6*t^8.12)/g1^18 + g1^112*t^8.13 + (2*t^8.21)/g1^64 + 2*g1^66*t^8.22 - 6*g1^20*t^8.31 + t^8.4/g1^26 + 3*g1^104*t^8.41 + (5*t^8.49)/g1^72 + 6*g1^58*t^8.5 + 13*g1^12*t^8.59 + (18*t^8.67)/g1^34 + 6*g1^96*t^8.68 + (4*t^8.76)/g1^80 + 10*g1^50*t^8.77 + 20*g1^4*t^8.86 + (15*t^8.95)/g1^42 + 7*g1^88*t^8.96 - t^4.57/(g1^2*y) - (g1^26*t^6.6)/y - t^6.69/(g1^20*y) - (g1^18*t^6.88)/y - t^6.97/(g1^28*y) + (3*g1^10*t^7.15)/y + t^7.24/(g1^36*y) + (2*g1^48*t^7.34)/y + (6*g1^2*t^7.43)/y + (2*t^7.52)/(g1^44*y) + (g1^40*t^7.62)/y + t^7.71/(g1^6*y) - t^7.98/(g1^14*y) + (3*g1^24*t^8.17)/y + (5*t^8.26)/(g1^22*y) + (8*g1^16*t^8.45)/y + (9*t^8.54)/(g1^30*y) - (g1^54*t^8.63)/y + (5*g1^8*t^8.72)/y + (2*t^8.81)/(g1^38*y) - (g1^46*t^8.91)/y - (t^4.57*y)/g1^2 - g1^26*t^6.6*y - (t^6.69*y)/g1^20 - g1^18*t^6.88*y - (t^6.97*y)/g1^28 + 3*g1^10*t^7.15*y + (t^7.24*y)/g1^36 + 2*g1^48*t^7.34*y + 6*g1^2*t^7.43*y + (2*t^7.52*y)/g1^44 + g1^40*t^7.62*y + (t^7.71*y)/g1^6 - (t^7.98*y)/g1^14 + 3*g1^24*t^8.17*y + (5*t^8.26*y)/g1^22 + 8*g1^16*t^8.45*y + (9*t^8.54*y)/g1^30 - g1^54*t^8.63*y + 5*g1^8*t^8.72*y + (2*t^8.81*y)/g1^38 - g1^46*t^8.91*y |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 5384 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1\tilde{q}_2$ + $ M_2M_5$ + $ M_5M_7$ + $ M_8\phi_1\tilde{q}_1^2$ | 0.6593 | 0.8825 | 0.7472 | [X:[], M:[0.9534, 1.1399, 0.7668, 0.7099, 0.8601, 0.8032, 1.1399, 0.6735], q:[0.7383, 0.3083], qb:[0.4016, 0.4585], phi:[0.5233]] | t^2.02 + 2*t^2.13 + 2*t^2.3 + t^2.41 + t^2.86 + t^3.14 + 3*t^3.42 + t^4.04 + 3*t^4.15 + 3*t^4.26 + 3*t^4.32 + 5*t^4.43 + 2*t^4.54 + 3*t^4.6 + 2*t^4.71 + t^4.82 + t^4.88 + 2*t^4.99 + 3*t^5.16 + 3*t^5.27 + 5*t^5.44 + 6*t^5.55 + 5*t^5.72 + 2*t^5.83 - 3*t^6. - t^4.57/y - t^4.57*y | detail |