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 |
|---|---|---|---|---|---|---|---|---|---|
| 3978 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1q_2$ + $ M_3M_6$ + $ M_5X_1$ + $ M_3M_7$ + $ M_8\phi_1q_2\tilde{q}_2$ | 0.6715 | 0.835 | 0.8043 | [X:[1.3557], M:[1.0291, 1.0962, 1.1633, 0.9709, 0.6443, 0.8367, 0.8367, 0.7114], q:[0.7741, 0.3892], qb:[0.5816, 0.4475], phi:[0.4519]] | [X:[[6]], M:[[-22], [-4], [14], [22], [-6], [-14], [-14], [12]], q:[[-1], [15]], qb:[[7], [-29]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_8$, $ M_6$, $ M_7$, $ M_4$, $ M_1$, $ M_2$, $ q_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1\tilde{q}_2^2$, $ X_1$, $ M_8^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_6M_8$, $ M_7M_8$, $ \phi_1\tilde{q}_1^2$, $ M_6^2$, $ M_6M_7$, $ M_7^2$, $ M_4M_8$, $ M_1M_8$, $ M_4M_6$, $ M_4M_7$, $ M_2M_8$, $ M_1M_6$, $ M_1M_7$, $ M_2M_6$, $ M_2M_7$, $ M_8q_1\tilde{q}_2$, $ M_4^2$, $ M_8\phi_1q_2^2$ | . | -2 | t^2.13 + 2*t^2.51 + t^2.91 + t^3.09 + t^3.29 + t^3.66 + t^3.69 + t^4.04 + t^4.07 + 2*t^4.27 + t^4.44 + 2*t^4.64 + t^4.85 + 3*t^5.02 + t^5.05 + t^5.22 + 2*t^5.42 + t^5.6 + 3*t^5.8 + t^5.83 - 2*t^6. + 3*t^6.17 + 3*t^6.2 + t^6.4 + 2*t^6.55 + 2*t^6.58 + t^6.6 + t^6.75 + 2*t^6.78 + 2*t^6.95 + t^6.98 + t^7.13 + 2*t^7.15 + t^7.18 + t^7.33 + 3*t^7.36 + t^7.38 + 3*t^7.53 + 2*t^7.56 + t^7.7 + 2*t^7.73 + 3*t^7.93 + 2*t^7.96 + t^8.08 + 2*t^8.11 - 2*t^8.13 + 5*t^8.31 + 2*t^8.34 + t^8.48 - 4*t^8.51 + 2*t^8.54 + 4*t^8.68 + 3*t^8.71 + t^8.74 + t^8.89 - t^8.91 - t^4.36/y - t^6.49/y - t^6.87/y + (2*t^7.64)/y + t^7.85/y + t^8.02/y + t^8.05/y + (2*t^8.22)/y + (3*t^8.42)/y + (2*t^8.6)/y - t^8.62/y + (3*t^8.8)/y + t^8.83/y - t^4.36*y - t^6.49*y - t^6.87*y + 2*t^7.64*y + t^7.85*y + t^8.02*y + t^8.05*y + 2*t^8.22*y + 3*t^8.42*y + 2*t^8.6*y - t^8.62*y + 3*t^8.8*y + t^8.83*y | g1^12*t^2.13 + (2*t^2.51)/g1^14 + g1^22*t^2.91 + t^3.09/g1^22 + t^3.29/g1^4 + t^3.66/g1^30 + g1^32*t^3.69 + t^4.04/g1^56 + g1^6*t^4.07 + 2*g1^24*t^4.27 + t^4.44/g1^20 + (2*t^4.64)/g1^2 + g1^16*t^4.85 + (3*t^5.02)/g1^28 + g1^34*t^5.05 + t^5.22/g1^10 + 2*g1^8*t^5.42 + t^5.6/g1^36 + (3*t^5.8)/g1^18 + g1^44*t^5.83 - 2*t^6. + (3*t^6.17)/g1^44 + 3*g1^18*t^6.2 + g1^36*t^6.4 + (2*t^6.55)/g1^70 + (2*t^6.58)/g1^8 + g1^54*t^6.6 + t^6.75/g1^52 + 2*g1^10*t^6.78 + (2*t^6.95)/g1^34 + g1^28*t^6.98 + t^7.13/g1^78 + (2*t^7.15)/g1^16 + g1^46*t^7.18 + t^7.33/g1^60 + 3*g1^2*t^7.36 + g1^64*t^7.38 + (3*t^7.53)/g1^42 + 2*g1^20*t^7.56 + t^7.7/g1^86 + (2*t^7.73)/g1^24 + (3*t^7.93)/g1^6 + 2*g1^56*t^7.96 + t^8.08/g1^112 + (2*t^8.11)/g1^50 - 2*g1^12*t^8.13 + (5*t^8.31)/g1^32 + 2*g1^30*t^8.34 + t^8.48/g1^76 - (4*t^8.51)/g1^14 + 2*g1^48*t^8.54 + (4*t^8.68)/g1^58 + 3*g1^4*t^8.71 + g1^66*t^8.74 + t^8.89/g1^40 - g1^22*t^8.91 - (g1^2*t^4.36)/y - (g1^14*t^6.49)/y - t^6.87/(g1^12*y) + (2*t^7.64)/(g1^2*y) + (g1^16*t^7.85)/y + t^8.02/(g1^28*y) + (g1^34*t^8.05)/y + (2*t^8.22)/(g1^10*y) + (3*g1^8*t^8.42)/y + (2*t^8.6)/(g1^36*y) - (g1^26*t^8.62)/y + (3*t^8.8)/(g1^18*y) + (g1^44*t^8.83)/y - g1^2*t^4.36*y - g1^14*t^6.49*y - (t^6.87*y)/g1^12 + (2*t^7.64*y)/g1^2 + g1^16*t^7.85*y + (t^8.02*y)/g1^28 + g1^34*t^8.05*y + (2*t^8.22*y)/g1^10 + 3*g1^8*t^8.42*y + (2*t^8.6*y)/g1^36 - g1^26*t^8.62*y + (3*t^8.8*y)/g1^18 + g1^44*t^8.83*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 |
|---|---|---|---|---|---|---|---|---|
| 5527 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1q_2$ + $ M_3M_6$ + $ M_5X_1$ + $ M_3M_7$ + $ M_8\phi_1q_2\tilde{q}_2$ + $ M_4M_9$ | 0.6698 | 0.8335 | 0.8035 | [X:[1.3612], M:[1.0091, 1.0926, 1.176, 0.9909, 0.6388, 0.824, 0.824, 0.7223, 1.0091], q:[0.7731, 0.4029], qb:[0.588, 0.4211], phi:[0.4537]] | t^2.17 + 2*t^2.47 + 2*t^3.03 + t^3.28 + t^3.58 + t^3.78 + t^3.89 + t^4.08 + 2*t^4.33 + t^4.39 + 2*t^4.64 + t^4.89 + 3*t^4.94 + 2*t^5.19 + 3*t^5.5 + 3*t^5.75 - 3*t^6. - t^4.36/y - t^4.36*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1595 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1q_2$ + $ M_3M_6$ + $ M_5X_1$ + $ M_3M_7$ | 0.6513 | 0.7969 | 0.8172 | [X:[1.3565], M:[1.0262, 1.0957, 1.1651, 0.9738, 0.6435, 0.8349, 0.8349], q:[0.7739, 0.3912], qb:[0.5826, 0.4437], phi:[0.4522]] | 2*t^2.5 + t^2.92 + t^3.08 + t^3.29 + t^3.65 + t^3.7 + t^3.86 + t^4.02 + t^4.07 + t^4.28 + t^4.44 + t^4.85 + 3*t^5.01 + t^5.43 + t^5.58 + 2*t^5.79 - 2*t^6. - t^4.36/y - t^4.36*y | detail |