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 |
|---|---|---|---|---|---|---|---|---|---|
| 711 | 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_4\phi_1q_2^2$ + $ M_1M_4$ + $ M_1M_5$ | 0.6503 | 0.8006 | 0.8123 | [X:[], M:[1.1584, 1.0875, 0.948, 0.8416, 0.8416], q:[0.7719, 0.3511], qb:[0.4905, 0.5615], phi:[0.4563]] | [X:[], M:[[8], [-4], [10], [-8], [-8]], q:[[-1], [3]], qb:[[-11], [1]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_5$, $ \phi_1^2$, $ M_3$, $ M_2$, $ q_1q_2$, $ q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_4^2$, $ M_4M_5$, $ M_5^2$, $ M_4\phi_1^2$, $ M_5\phi_1^2$, $ M_3M_4$, $ M_3M_5$, $ \phi_1^4$, $ M_3^2$, $ M_2M_4$, $ M_2M_5$, $ M_4q_1q_2$, $ M_5q_1q_2$ | . | -2 | 2*t^2.52 + t^2.74 + t^2.84 + t^3.26 + t^3.37 + t^3.79 + t^3.89 + t^4. + t^4.11 + t^4.31 + t^4.52 + t^4.74 + 3*t^5.05 + 2*t^5.26 + t^5.37 + t^5.48 + t^5.69 + t^5.79 + 2*t^5.89 - 2*t^6. + t^6.11 + 2*t^6.31 + t^6.42 + 2*t^6.52 + 2*t^6.63 + 3*t^6.84 + 3*t^7.05 + t^7.16 + 2*t^7.26 + t^7.48 + 5*t^7.57 + t^7.68 + 3*t^7.79 + 2*t^7.89 + t^8. + t^8.1 + 3*t^8.21 + 2*t^8.31 + 3*t^8.42 - 4*t^8.52 + t^8.53 + t^8.62 + t^8.63 - 2*t^8.74 + 3*t^8.84 + t^8.94 - t^8.95 - t^4.37/y - t^6.89/y - t^7.21/y + t^7.52/y + t^7.84/y + t^8.05/y + (2*t^8.26)/y + (2*t^8.37)/y + t^8.58/y + (2*t^8.79)/y + (2*t^8.89)/y - t^4.37*y - t^6.89*y - t^7.21*y + t^7.52*y + t^7.84*y + t^8.05*y + 2*t^8.26*y + 2*t^8.37*y + t^8.58*y + 2*t^8.79*y + 2*t^8.89*y | (2*t^2.52)/g1^8 + g1^4*t^2.74 + g1^10*t^2.84 + t^3.26/g1^4 + g1^2*t^3.37 + t^3.79/g1^12 + t^3.89/g1^6 + t^4. + g1^6*t^4.11 + t^4.31/g1^20 + t^4.52/g1^8 + g1^4*t^4.74 + (3*t^5.05)/g1^16 + (2*t^5.26)/g1^4 + g1^2*t^5.37 + g1^8*t^5.48 + g1^20*t^5.69 + t^5.79/g1^12 + (2*t^5.89)/g1^6 - 2*t^6. + g1^6*t^6.11 + (2*t^6.31)/g1^20 + t^6.42/g1^14 + (2*t^6.52)/g1^8 + (2*t^6.63)/g1^2 + (2*t^6.84)/g1^28 + g1^10*t^6.84 + (3*t^7.05)/g1^16 + t^7.16/g1^10 + (2*t^7.26)/g1^4 + g1^8*t^7.48 + (5*t^7.57)/g1^24 + t^7.68/g1^18 + (3*t^7.79)/g1^12 + (2*t^7.89)/g1^6 + t^8. + t^8.1/g1^32 + t^8.21/g1^26 + 2*g1^12*t^8.21 + (2*t^8.31)/g1^20 + (3*t^8.42)/g1^14 - (4*t^8.52)/g1^8 + g1^30*t^8.53 + t^8.62/g1^40 + t^8.63/g1^2 - 2*g1^4*t^8.74 + (4*t^8.84)/g1^28 - g1^10*t^8.84 + t^8.94/g1^22 - g1^16*t^8.95 - (g1^2*t^4.37)/y - t^6.89/(g1^6*y) - (g1^12*t^7.21)/y + t^7.52/(g1^8*y) + (g1^10*t^7.84)/y + t^8.05/(g1^16*y) + (2*t^8.26)/(g1^4*y) + (2*g1^2*t^8.37)/y + (g1^14*t^8.58)/y + (2*t^8.79)/(g1^12*y) + (2*t^8.89)/(g1^6*y) - g1^2*t^4.37*y - (t^6.89*y)/g1^6 - g1^12*t^7.21*y + (t^7.52*y)/g1^8 + g1^10*t^7.84*y + (t^8.05*y)/g1^16 + (2*t^8.26*y)/g1^4 + 2*g1^2*t^8.37*y + g1^14*t^8.58*y + (2*t^8.79*y)/g1^12 + (2*t^8.89*y)/g1^6 |
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 |
|---|---|---|---|---|---|---|---|---|
| 1160 | $\phi_1q_1^2$ + $ 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_4\phi_1q_2^2$ + $ M_1M_4$ + $ M_1M_5$ + $ M_3^2$ | 0.6467 | 0.8008 | 0.8075 | [X:[], M:[1.2, 1.0667, 1.0, 0.8, 0.8], q:[0.7667, 0.3667], qb:[0.4333, 0.5667], phi:[0.4667]] | 2*t^2.4 + t^2.8 + t^3. + t^3.2 + t^3.4 + t^3.6 + t^3.8 + 2*t^4. + t^4.2 + t^4.4 + 4*t^4.8 + 2*t^5.2 + t^5.4 + 2*t^5.6 + 2*t^5.8 + t^6. - t^4.4/y - t^4.4*y | detail | {a: 97/150, c: 961/1200, M1: 6/5, M2: 16/15, M3: 1, M4: 4/5, M5: 4/5, q1: 23/30, q2: 11/30, qb1: 13/30, qb2: 17/30, phi1: 7/15} |
| 1162 | $\phi_1q_1^2$ + $ 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_4\phi_1q_2^2$ + $ M_1M_4$ + $ M_1M_5$ + $ M_6\phi_1q_2\tilde{q}_1$ | 0.6708 | 0.8396 | 0.799 | [X:[], M:[1.1552, 1.0891, 0.944, 0.8448, 0.8448, 0.6997], q:[0.7723, 0.3499], qb:[0.495, 0.5611], phi:[0.4555]] | t^2.1 + 2*t^2.53 + t^2.73 + t^2.83 + t^3.27 + t^3.37 + t^3.8 + t^4. + t^4.1 + t^4.2 + t^4.34 + t^4.53 + 2*t^4.63 + t^4.73 + t^4.83 + t^4.93 + 3*t^5.07 + 2*t^5.27 + 2*t^5.37 + 2*t^5.47 + t^5.66 + t^5.8 + 3*t^5.9 - 2*t^6. - t^4.37/y - t^4.37*y | detail | |
| 1161 | $\phi_1q_1^2$ + $ 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_4\phi_1q_2^2$ + $ M_1M_4$ + $ M_1M_5$ + $ M_6q_1q_2$ | 0.6614 | 0.8199 | 0.8067 | [X:[], M:[1.1633, 1.085, 0.9541, 0.8367, 0.8367, 0.8759], q:[0.7713, 0.3529], qb:[0.4838, 0.5621], phi:[0.4575]] | 2*t^2.51 + t^2.63 + t^2.74 + t^2.86 + t^3.26 + t^3.77 + t^3.88 + t^4. + t^4.12 + t^4.28 + t^4.51 + t^4.74 + 3*t^5.02 + 2*t^5.14 + 3*t^5.26 + 2*t^5.37 + 2*t^5.49 + t^5.72 + t^5.77 + t^5.88 - 2*t^6. - t^4.37/y - t^4.37*y | detail | |
| 1978 | $\phi_1q_1^2$ + $ 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_4\phi_1q_2^2$ + $ M_1M_4$ + $ M_1M_5$ + $ M_6q_1\tilde{q}_1$ | 0.6701 | 0.8368 | 0.8008 | [X:[], M:[1.148, 1.0927, 0.9349, 0.852, 0.852, 0.7219], q:[0.7732, 0.3472], qb:[0.5049, 0.5602], phi:[0.4537]] | t^2.17 + 2*t^2.56 + t^2.72 + t^2.8 + t^3.28 + t^3.36 + t^3.92 + t^4. + t^4.08 + t^4.33 + t^4.39 + t^4.56 + 3*t^4.72 + t^4.89 + t^4.97 + 3*t^5.11 + 2*t^5.28 + t^5.36 + 2*t^5.44 + t^5.53 + t^5.61 + t^5.83 + 2*t^5.92 - 2*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 |
|---|---|---|---|---|---|---|---|---|---|
| 427 | 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_4\phi_1q_2^2$ + $ M_1M_4$ | 0.6373 | 0.7771 | 0.8201 | [X:[], M:[1.1394, 1.097, 0.9242, 0.8606], q:[0.7742, 0.3439], qb:[0.5167, 0.5591], phi:[0.4515]] | t^2.58 + t^2.71 + t^2.77 + t^3.29 + t^3.35 + t^3.42 + t^3.87 + t^3.94 + t^4. + t^4.06 + t^4.45 + t^4.58 + t^4.71 + t^5.16 + t^5.29 + t^5.42 + t^5.55 + t^5.94 - t^6. - t^4.35/y - t^4.35*y | detail |