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 |
|---|---|---|---|---|---|---|---|---|---|
| 364 | 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_1^2$ + $ M_4\phi_1^2$ | 0.7111 | 0.8727 | 0.8148 | [X:[], M:[1.0, 0.8849, 0.8273, 1.0576], q:[0.5541, 0.4459], qb:[0.6187, 0.4965], phi:[0.4712]] | [X:[], M:[[0, 0], [-4, -4], [-6, -6], [2, 2]], q:[[2, 6], [-2, -6]], qb:[[4, 0], [0, 4]], phi:[[-1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_2$, $ \phi_1^2$, $ M_1$, $ q_1\tilde{q}_2$, $ M_4$, $ q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ M_3^2$, $ \phi_1\tilde{q}_1^2$, $ M_2M_3$, $ M_2^2$, $ M_3\phi_1^2$, $ M_1M_3$, $ M_2\phi_1^2$, $ M_1M_2$, $ M_3M_4$, $ \phi_1^4$, $ M_2M_4$, $ M_1\phi_1^2$, $ \phi_1^2q_1\tilde{q}_2$ | . | -2 | t^2.48 + t^2.65 + t^2.83 + t^3. + t^3.15 + t^3.17 + t^3.19 + t^4.09 + t^4.24 + t^4.39 + t^4.41 + t^4.57 + t^4.61 + t^4.74 + t^4.76 + t^4.93 + t^4.96 + t^5.13 + t^5.14 + 2*t^5.31 + t^5.48 + 3*t^5.65 + t^5.83 + t^5.98 - 2*t^6. + t^6.02 + t^6.3 + t^6.35 + t^6.39 - t^6.52 + t^6.57 + t^6.72 + t^6.74 + t^6.87 + t^6.9 + t^6.92 + t^7.05 + 2*t^7.07 + t^7.09 + 2*t^7.22 + 2*t^7.24 + t^7.28 + 3*t^7.39 + t^7.43 + t^7.45 + t^7.54 + t^7.57 + t^7.59 + t^7.61 + t^7.62 + t^7.72 + t^7.76 + 2*t^7.79 + t^7.8 + t^7.89 + t^7.95 + 2*t^7.96 + t^8.13 + 3*t^8.14 + t^8.18 + 2*t^8.31 + t^8.32 + t^8.48 + t^8.5 - t^8.65 - t^8.68 + t^8.7 + t^8.79 + t^8.81 - 2*t^8.83 + t^8.85 + t^8.96 - t^8.98 - t^4.41/y - t^6.9/y - t^7.07/y + t^7.76/y + t^7.93/y + t^8.14/y + t^8.31/y + (2*t^8.48)/y + t^8.63/y + (2*t^8.65)/y + t^8.68/y + t^8.81/y + (2*t^8.83)/y + t^8.85/y + t^8.98/y - t^4.41*y - t^6.9*y - t^7.07*y + t^7.76*y + t^7.93*y + t^8.14*y + t^8.31*y + 2*t^8.48*y + t^8.63*y + 2*t^8.65*y + t^8.68*y + t^8.81*y + 2*t^8.83*y + t^8.85*y + t^8.98*y | t^2.48/(g1^6*g2^6) + t^2.65/(g1^4*g2^4) + t^2.83/(g1^2*g2^2) + t^3. + g1^2*g2^10*t^3.15 + g1^2*g2^2*t^3.17 + (g1^2*t^3.19)/g2^6 + t^4.09/(g1^5*g2^13) + t^4.24/(g1^3*g2^3) + (g2^7*t^4.39)/g1 + t^4.41/(g1*g2) + g1*g2^9*t^4.57 + (g1*t^4.61)/g2^7 + g1^3*g2^11*t^4.74 + g1^3*g2^3*t^4.76 + g1^5*g2^5*t^4.93 + t^4.96/(g1^12*g2^12) + (g1^7*t^5.13)/g2 + t^5.14/(g1^10*g2^10) + (2*t^5.31)/(g1^8*g2^8) + t^5.48/(g1^6*g2^6) + (3*t^5.65)/(g1^4*g2^4) + t^5.83/(g1^2*g2^2) + g2^8*t^5.98 - 2*t^6. + t^6.02/g2^8 + g1^4*g2^20*t^6.3 + g1^4*g2^4*t^6.35 + (g1^4*t^6.39)/g2^12 - g1^6*g2^6*t^6.52 + t^6.57/(g1^11*g2^19) + t^6.72/(g1^9*g2^9) + t^6.74/(g1^9*g2^17) + (g2*t^6.87)/g1^7 + t^6.9/(g1^7*g2^7) + t^6.92/(g1^7*g2^15) + (g2^3*t^7.05)/g1^5 + (2*t^7.07)/(g1^5*g2^5) + t^7.09/(g1^5*g2^13) + (2*g2^5*t^7.22)/g1^3 + (2*t^7.24)/(g1^3*g2^3) + t^7.28/(g1^3*g2^19) + (3*g2^7*t^7.39)/g1 + t^7.43/(g1*g2^9) + t^7.45/(g1^18*g2^18) + g1*g2^17*t^7.54 + g1*g2^9*t^7.57 + g1*g2*t^7.59 + (g1*t^7.61)/g2^7 + t^7.62/(g1^16*g2^16) + g1^3*g2^19*t^7.72 + g1^3*g2^3*t^7.76 + (2*t^7.79)/(g1^14*g2^14) + (g1^3*t^7.8)/g2^13 + g1^5*g2^21*t^7.89 + (g1^5*t^7.95)/g2^3 + (2*t^7.96)/(g1^12*g2^12) + (g1^7*t^8.13)/g2 + (3*t^8.14)/(g1^10*g2^10) + t^8.18/(g1^10*g2^26) + (2*t^8.31)/(g1^8*g2^8) + (g1^9*t^8.32)/g2^7 + t^8.48/(g1^6*g2^6) + t^8.5/(g1^6*g2^14) - t^8.65/(g1^4*g2^4) - t^8.68/(g1^4*g2^12) + t^8.7/(g1^4*g2^20) + (g2^14*t^8.79)/g1^2 + (g2^6*t^8.81)/g1^2 - (2*t^8.83)/(g1^2*g2^2) + t^8.85/(g1^2*g2^10) + g2^16*t^8.96 - g2^8*t^8.98 - t^4.41/(g1*g2*y) - t^6.9/(g1^7*g2^7*y) - t^7.07/(g1^5*g2^5*y) + (g1^3*g2^3*t^7.76)/y + (g1^5*g2^5*t^7.93)/y + t^8.14/(g1^10*g2^10*y) + t^8.31/(g1^8*g2^8*y) + (2*t^8.48)/(g1^6*g2^6*y) + (g2^4*t^8.63)/(g1^4*y) + (2*t^8.65)/(g1^4*g2^4*y) + t^8.68/(g1^4*g2^12*y) + (g2^6*t^8.81)/(g1^2*y) + (2*t^8.83)/(g1^2*g2^2*y) + t^8.85/(g1^2*g2^10*y) + (g2^8*t^8.98)/y - (t^4.41*y)/(g1*g2) - (t^6.9*y)/(g1^7*g2^7) - (t^7.07*y)/(g1^5*g2^5) + g1^3*g2^3*t^7.76*y + g1^5*g2^5*t^7.93*y + (t^8.14*y)/(g1^10*g2^10) + (t^8.31*y)/(g1^8*g2^8) + (2*t^8.48*y)/(g1^6*g2^6) + (g2^4*t^8.63*y)/g1^4 + (2*t^8.65*y)/(g1^4*g2^4) + (t^8.68*y)/(g1^4*g2^12) + (g2^6*t^8.81*y)/g1^2 + (2*t^8.83*y)/(g1^2*g2^2) + (t^8.85*y)/(g1^2*g2^10) + g2^8*t^8.98*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 |
|---|---|---|---|---|---|---|---|---|
| 577 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1^2$ + $ M_4\phi_1^2$ + $ M_4M_5$ | 0.7168 | 0.8831 | 0.8116 | [X:[], M:[1.0, 0.8704, 0.8056, 1.0648, 0.9352], q:[0.5603, 0.4397], qb:[0.6341, 0.4955], phi:[0.4676]] | t^2.42 + t^2.61 + 2*t^2.81 + t^3. + t^3.17 + t^3.22 + t^4.04 + t^4.21 + t^4.38 + t^4.4 + t^4.57 + t^4.62 + t^4.76 + t^4.79 + t^4.83 + t^4.99 + t^5.03 + t^5.21 + 3*t^5.22 + 2*t^5.42 + 4*t^5.61 + t^5.81 + 2*t^5.97 - 3*t^6. - t^4.4/y - t^4.4*y | detail | |
| 578 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1^2$ + $ M_4\phi_1^2$ + $ M_5\phi_1^2$ | 0.7061 | 0.8639 | 0.8173 | [X:[], M:[1.0, 0.8998, 0.8496, 1.0501, 1.0501], q:[0.5475, 0.4525], qb:[0.6029, 0.4974], phi:[0.4749]] | t^2.55 + t^2.7 + t^3. + t^3.13 + 2*t^3.15 + t^3.17 + t^4.14 + t^4.27 + t^4.41 + t^4.42 + t^4.56 + t^4.59 + t^4.71 + t^4.73 + t^4.88 + t^5.04 + t^5.1 + t^5.25 + t^5.4 + 3*t^5.7 + t^5.85 - 3*t^6. - t^4.42/y - t^4.42*y | detail | |
| 1809 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1^2$ + $ M_4\phi_1^2$ + $ \phi_1q_1\tilde{q}_1$ + $ M_3X_1$ + $ M_2X_2$ | 0.5603 | 0.6728 | 0.8328 | [X:[1.6, 1.4], M:[1.0, 0.6, 0.4, 1.2], q:[0.65, 0.35], qb:[0.95, 0.45], phi:[0.4]] | t^2.4 + t^3. + 2*t^3.3 + 2*t^3.6 + 2*t^3.9 + t^4.2 + 2*t^4.8 - t^4.2/y - t^4.2*y | detail | {a: 2241/4000, c: 2691/4000, X1: 8/5, X2: 7/5, M1: 1, M2: 3/5, M3: 2/5, M4: 6/5, q1: 13/20, q2: 7/20, qb1: 19/20, qb2: 9/20, phi1: 2/5} |
| 575 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1^2$ + $ M_4\phi_1^2$ + $ \phi_1^2q_1\tilde{q}_2$ | 0.711 | 0.8727 | 0.8148 | [X:[], M:[1.0, 0.8853, 0.8279, 1.0574], q:[0.5574, 0.4426], qb:[0.6147, 0.5], phi:[0.4713]] | t^2.48 + t^2.66 + t^2.83 + t^3. + 3*t^3.17 + t^4.07 + t^4.24 + 2*t^4.41 + 2*t^4.59 + 2*t^4.76 + t^4.93 + t^4.97 + t^5.1 + t^5.14 + 2*t^5.31 + t^5.48 + 3*t^5.66 + t^5.83 - t^4.41/y - t^4.41*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 |
|---|---|---|---|---|---|---|---|---|---|
| 227 | 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_1^2$ | 0.7407 | 0.9101 | 0.8139 | [X:[], M:[1.0, 0.7195, 0.8597, 0.8597], q:[0.5, 0.5], qb:[0.6403, 0.6403], phi:[0.4299]] | t^2.16 + 3*t^2.58 + t^3. + 2*t^3.42 + 3*t^4.29 + t^4.32 + 4*t^4.71 + 3*t^4.74 + 3*t^5.13 + 7*t^5.16 + t^5.58 - t^6. - t^4.29/y - t^4.29*y | detail |