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 |
|---|---|---|---|---|---|---|---|---|---|
| 5455 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ \phi_1\tilde{q}_2^2$ + $ M_6q_2\tilde{q}_1$ + $ M_4X_1$ + $ M_5M_6$ + $ M_6M_7$ + $ M_8q_1\tilde{q}_2$ | 0.7113 | 0.8811 | 0.8072 | [X:[1.2881], M:[0.9944, 0.7232, 1.0056, 0.7119, 0.9944, 1.0056, 0.9944, 0.7119], q:[0.5028, 0.5028], qb:[0.4915, 0.7853], phi:[0.4294]] | [X:[[6]], M:[[-14], [22], [14], [-6], [-14], [14], [-14], [-6]], q:[[7], [7]], qb:[[-21], [-1]], phi:[[2]]] | 1 | {a: 118847/167088, c: 73613/83544, X1: 76/59, M1: 176/177, M2: 128/177, M3: 178/177, M4: 42/59, M5: 176/177, M6: 178/177, M7: 176/177, M8: 42/59, q1: 89/177, q2: 89/177, qb1: 29/59, qb2: 139/177, phi1: 76/177} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_8$, $ M_2$, $ \phi_1^2$, $ M_1$, $ M_5$, $ M_7$, $ X_1$, $ \phi_1\tilde{q}_1^2$, $ M_8^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ M_2M_8$, $ \phi_1q_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_2^2$, $ M_2^2$, $ M_8\phi_1^2$, $ M_2\phi_1^2$, $ M_1M_8$, $ M_5M_8$, $ M_7M_8$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1M_2$, $ M_2M_5$, $ M_2M_7$, $ \phi_1^4$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ M_7\phi_1^2$, $ M_1^2$, $ M_1M_5$, $ M_5^2$, $ M_1M_7$, $ M_5M_7$, $ M_7^2$ | $M_8X_1$ | -4 | t^2.14 + t^2.17 + t^2.58 + 3*t^2.98 + t^3.86 + t^4.24 + 3*t^4.27 + 4*t^4.31 + t^4.34 + t^4.71 + t^4.75 + 3*t^5.12 + 4*t^5.15 + 3*t^5.56 + 4*t^5.97 - 4*t^6. - t^6.03 + t^6.37 + 3*t^6.41 + 5*t^6.44 + 4*t^6.47 + t^6.51 + t^6.81 + 3*t^6.85 + 3*t^6.88 + t^6.92 + 3*t^7.22 + 6*t^7.25 + 7*t^7.29 + 2*t^7.32 - t^7.66 + t^7.69 + 2*t^7.73 + 3*t^8.1 + t^8.14 - 5*t^8.17 - t^8.2 + t^8.47 + 3*t^8.51 + 9*t^8.54 + 2*t^8.58 + 8*t^8.61 + 4*t^8.64 + t^8.68 + 5*t^8.95 - 9*t^8.98 - t^4.29/y - t^6.42/y - t^6.46/y - t^6.86/y - t^7.27/y + (2*t^7.31)/y + (2*t^7.71)/y + t^7.75/y + (4*t^8.12)/y + (4*t^8.15)/y + (2*t^8.56)/y - t^8.59/y - t^8.63/y + (3*t^8.97)/y - t^4.29*y - t^6.42*y - t^6.46*y - t^6.86*y - t^7.27*y + 2*t^7.31*y + 2*t^7.71*y + t^7.75*y + 4*t^8.12*y + 4*t^8.15*y + 2*t^8.56*y - t^8.59*y - t^8.63*y + 3*t^8.97*y | t^2.14/g1^6 + g1^22*t^2.17 + g1^4*t^2.58 + (3*t^2.98)/g1^14 + g1^6*t^3.86 + t^4.24/g1^40 + (3*t^4.27)/g1^12 + 4*g1^16*t^4.31 + g1^44*t^4.34 + t^4.71/g1^2 + g1^26*t^4.75 + (3*t^5.12)/g1^20 + 4*g1^8*t^5.15 + (3*t^5.56)/g1^10 + (4*t^5.97)/g1^28 - 4*t^6. - g1^28*t^6.03 + t^6.37/g1^46 + (3*t^6.41)/g1^18 + 5*g1^10*t^6.44 + 4*g1^38*t^6.47 + g1^66*t^6.51 + t^6.81/g1^36 + (3*t^6.85)/g1^8 + 3*g1^20*t^6.88 + g1^48*t^6.92 + (3*t^7.22)/g1^54 + (6*t^7.25)/g1^26 + 7*g1^2*t^7.29 + 2*g1^30*t^7.32 - t^7.66/g1^44 + t^7.69/g1^16 + 2*g1^12*t^7.73 + (3*t^8.1)/g1^34 + t^8.14/g1^6 - 5*g1^22*t^8.17 - g1^50*t^8.2 + t^8.47/g1^80 + (3*t^8.51)/g1^52 + (9*t^8.54)/g1^24 + 2*g1^4*t^8.58 + 8*g1^32*t^8.61 + 4*g1^60*t^8.64 + g1^88*t^8.68 + (5*t^8.95)/g1^42 - (9*t^8.98)/g1^14 - (g1^2*t^4.29)/y - t^6.42/(g1^4*y) - (g1^24*t^6.46)/y - (g1^6*t^6.86)/y - t^7.27/(g1^12*y) + (2*g1^16*t^7.31)/y + (2*t^7.71)/(g1^2*y) + (g1^26*t^7.75)/y + (4*t^8.12)/(g1^20*y) + (4*g1^8*t^8.15)/y + (2*t^8.56)/(g1^10*y) - (g1^18*t^8.59)/y - (g1^46*t^8.63)/y + (3*t^8.97)/(g1^28*y) - g1^2*t^4.29*y - (t^6.42*y)/g1^4 - g1^24*t^6.46*y - g1^6*t^6.86*y - (t^7.27*y)/g1^12 + 2*g1^16*t^7.31*y + (2*t^7.71*y)/g1^2 + g1^26*t^7.75*y + (4*t^8.12*y)/g1^20 + 4*g1^8*t^8.15*y + (2*t^8.56*y)/g1^10 - g1^18*t^8.59*y - g1^46*t^8.63*y + (3*t^8.97*y)/g1^28 |
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 |
|---|---|---|---|---|---|---|---|---|
| 6915 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ \phi_1\tilde{q}_2^2$ + $ M_6q_2\tilde{q}_1$ + $ M_4X_1$ + $ M_5M_6$ + $ M_6M_7$ + $ M_8q_1\tilde{q}_2$ + $ M_9X_1$ | 0.7316 | 0.9195 | 0.7956 | [X:[1.2888], M:[0.9927, 0.7258, 1.0073, 0.7112, 0.9927, 1.0073, 0.9927, 0.7112, 0.7112], q:[0.5037, 0.5037], qb:[0.489, 0.7852], phi:[0.4296]] | 2*t^2.13 + t^2.18 + t^2.58 + 3*t^2.98 + t^4.22 + 5*t^4.27 + 5*t^4.31 + t^4.35 + 2*t^4.71 + t^4.76 + 6*t^5.11 + 4*t^5.16 + 3*t^5.56 + 4*t^5.96 - 5*t^6. - t^4.29/y - t^4.29*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 |
|---|---|---|---|---|---|---|---|---|---|
| 3861 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ \phi_1\tilde{q}_2^2$ + $ M_6q_2\tilde{q}_1$ + $ M_4X_1$ + $ M_5M_6$ + $ M_6M_7$ | 0.691 | 0.8428 | 0.8199 | [X:[1.2874], M:[0.9961, 0.7205, 1.0039, 0.7126, 0.9961, 1.0039, 0.9961], q:[0.502, 0.502], qb:[0.4941, 0.7854], phi:[0.4291]] | t^2.16 + t^2.57 + 3*t^2.99 + 2*t^3.86 + t^4.25 + 2*t^4.28 + 3*t^4.3 + t^4.32 + t^4.74 + 4*t^5.15 + 3*t^5.56 + 4*t^5.98 - 5*t^6. - t^4.29/y - t^4.29*y | detail |