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 |
|---|---|---|---|---|---|---|---|---|---|
| 4157 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_3M_4$ + $ M_5\phi_1\tilde{q}_2^2$ + $ M_2M_6$ + $ M_7q_1q_2$ + $ M_8q_1\tilde{q}_1$ | 0.7056 | 0.8986 | 0.7853 | [X:[], M:[0.9676, 1.0869, 1.1414, 0.8586, 0.8041, 0.9131, 0.6848, 0.7394], q:[0.7717, 0.5434], qb:[0.4889, 0.3697], phi:[0.4566]] | [X:[], M:[[13], [-4], [5], [-5], [-14], [4], [3], [12]], q:[[-1], [-2]], qb:[[-11], [6]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_7$, $ M_8$, $ M_5$, $ M_4$, $ M_6$, $ \phi_1^2$, $ M_1$, $ M_3$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_7^2$, $ \phi_1q_2\tilde{q}_2$, $ M_7M_8$, $ \phi_1\tilde{q}_1^2$, $ M_8^2$, $ M_5M_7$, $ \phi_1q_2\tilde{q}_1$, $ M_4M_7$, $ M_5M_8$, $ \phi_1q_2^2$, $ M_6M_7$, $ M_4M_8$, $ M_7\phi_1^2$, $ M_5^2$, $ M_1M_7$, $ M_6M_8$, $ M_8\phi_1^2$, $ M_4M_5$, $ M_1M_8$, $ M_4^2$, $ M_5M_6$, $ M_5\phi_1^2$, $ M_1M_5$, $ M_4M_6$, $ M_4\phi_1^2$, $ M_1M_4$, $ M_6^2$, $ M_3M_7$, $ M_6\phi_1^2$, $ \phi_1^4$, $ M_1M_6$, $ M_3M_8$, $ M_1\phi_1^2$, $ M_1^2$ | $M_7\phi_1\tilde{q}_1\tilde{q}_2$ | -1 | t^2.05 + t^2.22 + t^2.41 + t^2.58 + 2*t^2.74 + t^2.9 + t^3.42 + t^3.95 + 2*t^4.11 + t^4.27 + t^4.3 + t^4.44 + 2*t^4.47 + 3*t^4.63 + 3*t^4.79 + t^4.82 + 3*t^4.96 + t^4.99 + t^5.12 + 3*t^5.15 + 3*t^5.32 + 4*t^5.48 + 2*t^5.64 + t^5.81 - t^6. + 3*t^6.16 + 3*t^6.33 + t^6.36 + t^6.49 + 2*t^6.52 + t^6.65 + 4*t^6.68 + t^6.72 + 6*t^6.85 + 3*t^6.88 + 4*t^7.01 + 5*t^7.04 + 3*t^7.18 + 4*t^7.21 + t^7.24 + t^7.34 + 6*t^7.37 + t^7.4 + 7*t^7.53 + 2*t^7.56 + 5*t^7.7 + 2*t^7.73 + 3*t^7.86 + 2*t^7.89 + t^8.02 + 2*t^8.05 + 5*t^8.22 + 5*t^8.38 - 3*t^8.41 + 4*t^8.55 - 2*t^8.58 + t^8.61 + 2*t^8.71 + 2*t^8.77 + t^8.87 + 4*t^8.9 + 3*t^8.93 - t^4.37/y - t^6.42/y - t^6.59/y - t^6.78/y - t^7.11/y + (2*t^7.47)/y + (3*t^7.63)/y + (3*t^7.79)/y + (4*t^7.96)/y + t^7.99/y + t^8.12/y + (3*t^8.15)/y + (4*t^8.32)/y + (2*t^8.48)/y + (2*t^8.64)/y - t^8.81/y - t^4.37*y - t^6.42*y - t^6.59*y - t^6.78*y - t^7.11*y + 2*t^7.47*y + 3*t^7.63*y + 3*t^7.79*y + 4*t^7.96*y + t^7.99*y + t^8.12*y + 3*t^8.15*y + 4*t^8.32*y + 2*t^8.48*y + 2*t^8.64*y - t^8.81*y | g1^3*t^2.05 + g1^12*t^2.22 + t^2.41/g1^14 + t^2.58/g1^5 + 2*g1^4*t^2.74 + g1^13*t^2.9 + g1^5*t^3.42 + t^3.95/g1^3 + 2*g1^6*t^4.11 + g1^15*t^4.27 + t^4.3/g1^20 + g1^24*t^4.44 + (2*t^4.47)/g1^11 + (3*t^4.63)/g1^2 + 3*g1^7*t^4.79 + t^4.82/g1^28 + 3*g1^16*t^4.96 + t^4.99/g1^19 + g1^25*t^5.12 + (3*t^5.15)/g1^10 + (3*t^5.32)/g1 + 4*g1^8*t^5.48 + 2*g1^17*t^5.64 + g1^26*t^5.81 - t^6. + 3*g1^9*t^6.16 + 3*g1^18*t^6.33 + t^6.36/g1^17 + g1^27*t^6.49 + (2*t^6.52)/g1^8 + g1^36*t^6.65 + 4*g1*t^6.68 + t^6.72/g1^34 + 6*g1^10*t^6.85 + (3*t^6.88)/g1^25 + 4*g1^19*t^7.01 + (5*t^7.04)/g1^16 + 3*g1^28*t^7.18 + (4*t^7.21)/g1^7 + t^7.24/g1^42 + g1^37*t^7.34 + 6*g1^2*t^7.37 + t^7.4/g1^33 + 7*g1^11*t^7.53 + (2*t^7.56)/g1^24 + 5*g1^20*t^7.7 + (2*t^7.73)/g1^15 + 3*g1^29*t^7.86 + (2*t^7.89)/g1^6 + g1^38*t^8.02 + 2*g1^3*t^8.05 + 5*g1^12*t^8.22 + 5*g1^21*t^8.38 - (3*t^8.41)/g1^14 + 4*g1^30*t^8.55 - (2*t^8.58)/g1^5 + t^8.61/g1^40 + 2*g1^39*t^8.71 + (2*t^8.77)/g1^31 + g1^48*t^8.87 + 4*g1^13*t^8.9 + (3*t^8.93)/g1^22 - (g1^2*t^4.37)/y - (g1^5*t^6.42)/y - (g1^14*t^6.59)/y - t^6.78/(g1^12*y) - (g1^6*t^7.11)/y + (2*t^7.47)/(g1^11*y) + (3*t^7.63)/(g1^2*y) + (3*g1^7*t^7.79)/y + (4*g1^16*t^7.96)/y + t^7.99/(g1^19*y) + (g1^25*t^8.12)/y + (3*t^8.15)/(g1^10*y) + (4*t^8.32)/(g1*y) + (2*g1^8*t^8.48)/y + (2*g1^17*t^8.64)/y - (g1^26*t^8.81)/y - g1^2*t^4.37*y - g1^5*t^6.42*y - g1^14*t^6.59*y - (t^6.78*y)/g1^12 - g1^6*t^7.11*y + (2*t^7.47*y)/g1^11 + (3*t^7.63*y)/g1^2 + 3*g1^7*t^7.79*y + 4*g1^16*t^7.96*y + (t^7.99*y)/g1^19 + g1^25*t^8.12*y + (3*t^8.15*y)/g1^10 + (4*t^8.32*y)/g1 + 2*g1^8*t^8.48*y + 2*g1^17*t^8.64*y - g1^26*t^8.81*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 |
|---|---|---|---|---|---|---|---|---|
| 5687 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_3M_4$ + $ M_5\phi_1\tilde{q}_2^2$ + $ M_2M_6$ + $ M_7q_1q_2$ + $ M_8q_1\tilde{q}_1$ + $ M_9\phi_1\tilde{q}_1\tilde{q}_2$ | 0.7264 | 0.939 | 0.7735 | [X:[], M:[0.9668, 1.0871, 1.1411, 0.8589, 0.805, 0.9129, 0.6846, 0.7386, 0.6846], q:[0.7718, 0.5436], qb:[0.4896, 0.3693], phi:[0.4564]] | 2*t^2.05 + t^2.22 + t^2.42 + t^2.58 + 2*t^2.74 + t^2.9 + t^3.42 + 4*t^4.11 + 2*t^4.27 + t^4.31 + t^4.43 + 3*t^4.47 + 4*t^4.63 + 5*t^4.79 + t^4.83 + 4*t^4.95 + t^4.99 + t^5.12 + 3*t^5.15 + 3*t^5.32 + 5*t^5.48 + 2*t^5.64 + t^5.8 - 2*t^6. - t^4.37/y - t^4.37*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2174 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_3M_4$ + $ M_5\phi_1\tilde{q}_2^2$ + $ M_2M_6$ + $ M_7q_1q_2$ | 0.6864 | 0.8636 | 0.7948 | [X:[], M:[0.9824, 1.0823, 1.1471, 0.8529, 0.7882, 0.9177, 0.6882], q:[0.7706, 0.5412], qb:[0.4764, 0.3765], phi:[0.4588]] | t^2.06 + t^2.36 + t^2.56 + 2*t^2.75 + t^2.95 + t^3.44 + t^3.74 + t^3.94 + 2*t^4.13 + t^4.24 + 2*t^4.43 + 2*t^4.62 + t^4.73 + 2*t^4.82 + t^4.92 + t^5.01 + 3*t^5.12 + 3*t^5.31 + 4*t^5.51 + t^5.7 + t^5.81 + t^5.89 - t^6. - t^4.38/y - t^4.38*y | detail |