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 |
|---|---|---|---|---|---|---|---|---|---|
| 3823 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5q_1\tilde{q}_2$ + $ M_4M_5$ + $ M_1X_1$ + $ M_6\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2M_7$ | 0.633 | 0.802 | 0.7894 | [X:[1.3821], M:[0.6179, 1.1274, 0.7877, 1.0425, 0.9575, 0.691, 0.8726], q:[0.7818, 0.6002], qb:[0.612, 0.2606], phi:[0.4363]] | [X:[[36]], M:[[-36], [12], [-20], [4], [-4], [18], [-12]], q:[[3], [33]], qb:[[-13], [1]], phi:[[-6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_3$, $ q_2\tilde{q}_2$, $ M_7$, $ \phi_1^2$, $ M_5$, $ M_4$, $ \phi_1q_2\tilde{q}_2$, $ M_6^2$, $ X_1$, $ q_1\tilde{q}_1$, $ M_3M_6$, $ \phi_1q_1\tilde{q}_2$, $ M_6q_2\tilde{q}_2$, $ M_6M_7$, $ M_6\phi_1^2$, $ M_3^2$, $ \phi_1q_2^2$, $ M_5M_6$, $ \phi_1q_2\tilde{q}_1$, $ M_3q_2\tilde{q}_2$, $ M_3M_7$, $ M_3\phi_1^2$, $ \phi_1\tilde{q}_1^2$, $ q_2^2\tilde{q}_2^2$, $ M_4M_6$, $ M_7q_2\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_3M_5$, $ M_7^2$, $ M_7\phi_1^2$, $ \phi_1^4$, $ \phi_1q_1q_2$, $ M_5q_2\tilde{q}_2$, $ M_3M_4$, $ M_5M_7$, $ M_5\phi_1^2$, $ \phi_1q_1\tilde{q}_1$, $ M_4q_2\tilde{q}_2$, $ M_5^2$, $ M_4M_7$, $ M_4\phi_1^2$ | . | -2 | t^2.07 + t^2.36 + t^2.58 + 2*t^2.62 + t^2.87 + t^3.13 + t^3.89 + 2*t^4.15 + t^4.18 + t^4.44 + t^4.66 + 2*t^4.69 + t^4.73 + t^4.91 + 2*t^4.95 + 2*t^4.98 + t^5.17 + 3*t^5.2 + 4*t^5.24 + t^5.46 + 3*t^5.49 + t^5.71 + 2*t^5.75 - 2*t^6. - t^6.04 + 2*t^6.22 + t^6.25 - t^6.29 + t^6.47 + 2*t^6.51 + 2*t^6.73 + 4*t^6.76 + 2*t^6.8 + t^6.98 + 2*t^7.02 + t^7.05 + t^7.09 + t^7.24 + 3*t^7.27 + 3*t^7.31 + t^7.34 + t^7.49 + 3*t^7.53 + 3*t^7.56 + 4*t^7.6 + t^7.75 + 4*t^7.78 + 4*t^7.82 + 6*t^7.85 + 2*t^8.04 + 3*t^8.11 + 3*t^8.29 + 2*t^8.33 - 2*t^8.58 - 5*t^8.62 - 3*t^8.65 + 3*t^8.8 + 2*t^8.84 - 3*t^8.87 - 2*t^8.91 - t^4.31/y - t^6.38/y - t^6.67/y - t^6.93/y + t^7.44/y + t^7.66/y + (3*t^7.69)/y + (3*t^7.95)/y + (2*t^7.98)/y + (3*t^8.2)/y + (3*t^8.24)/y + (3*t^8.49)/y + t^8.71/y + t^8.75/y + t^8.96/y - t^4.31*y - t^6.38*y - t^6.67*y - t^6.93*y + t^7.44*y + t^7.66*y + 3*t^7.69*y + 3*t^7.95*y + 2*t^7.98*y + 3*t^8.2*y + 3*t^8.24*y + 3*t^8.49*y + t^8.71*y + t^8.75*y + t^8.96*y | g1^18*t^2.07 + t^2.36/g1^20 + g1^34*t^2.58 + (2*t^2.62)/g1^12 + t^2.87/g1^4 + g1^4*t^3.13 + g1^28*t^3.89 + 2*g1^36*t^4.15 + t^4.18/g1^10 + t^4.44/g1^2 + g1^52*t^4.66 + 2*g1^6*t^4.69 + t^4.73/g1^40 + g1^60*t^4.91 + 2*g1^14*t^4.95 + (2*t^4.98)/g1^32 + g1^68*t^5.17 + 3*g1^22*t^5.2 + (4*t^5.24)/g1^24 + g1^30*t^5.46 + (3*t^5.49)/g1^16 + g1^38*t^5.71 + (2*t^5.75)/g1^8 - 2*t^6. - t^6.04/g1^46 + 2*g1^54*t^6.22 + g1^8*t^6.25 - t^6.29/g1^38 + g1^62*t^6.47 + 2*g1^16*t^6.51 + 2*g1^70*t^6.73 + 4*g1^24*t^6.76 + (2*t^6.8)/g1^22 + g1^78*t^6.98 + 2*g1^32*t^7.02 + t^7.05/g1^14 + t^7.09/g1^60 + g1^86*t^7.24 + 3*g1^40*t^7.27 + (3*t^7.31)/g1^6 + t^7.34/g1^52 + g1^94*t^7.49 + 3*g1^48*t^7.53 + 3*g1^2*t^7.56 + (4*t^7.6)/g1^44 + g1^102*t^7.75 + 4*g1^56*t^7.78 + 4*g1^10*t^7.82 + (6*t^7.85)/g1^36 + 2*g1^64*t^8.04 + (3*t^8.11)/g1^28 + 3*g1^72*t^8.29 + 2*g1^26*t^8.33 - 2*g1^34*t^8.58 - (5*t^8.62)/g1^12 - (3*t^8.65)/g1^58 + 3*g1^88*t^8.8 + 2*g1^42*t^8.84 - (3*t^8.87)/g1^4 - (2*t^8.91)/g1^50 - t^4.31/(g1^6*y) - (g1^12*t^6.38)/y - t^6.67/(g1^26*y) - t^6.93/(g1^18*y) + t^7.44/(g1^2*y) + (g1^52*t^7.66)/y + (3*g1^6*t^7.69)/y + (3*g1^14*t^7.95)/y + (2*t^7.98)/(g1^32*y) + (3*g1^22*t^8.2)/y + (3*t^8.24)/(g1^24*y) + (3*t^8.49)/(g1^16*y) + (g1^38*t^8.71)/y + t^8.75/(g1^8*y) + (g1^46*t^8.96)/y - (t^4.31*y)/g1^6 - g1^12*t^6.38*y - (t^6.67*y)/g1^26 - (t^6.93*y)/g1^18 + (t^7.44*y)/g1^2 + g1^52*t^7.66*y + 3*g1^6*t^7.69*y + 3*g1^14*t^7.95*y + (2*t^7.98*y)/g1^32 + 3*g1^22*t^8.2*y + (3*t^8.24*y)/g1^24 + (3*t^8.49*y)/g1^16 + g1^38*t^8.71*y + (t^8.75*y)/g1^8 + g1^46*t^8.96*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 |
|---|---|---|---|---|---|---|---|---|
| 5416 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5q_1\tilde{q}_2$ + $ M_4M_5$ + $ M_1X_1$ + $ M_6\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2M_7$ + $ M_3M_8$ | 0.6161 | 0.7735 | 0.7966 | [X:[1.3621], M:[0.6379, 1.1207, 0.7989, 1.0402, 0.9598, 0.681, 0.8793, 1.2011], q:[0.7802, 0.5819], qb:[0.6193, 0.2601], phi:[0.4397]] | t^2.04 + t^2.53 + 2*t^2.64 + t^2.88 + t^3.12 + t^3.6 + t^3.84 + 2*t^4.09 + t^4.2 + t^4.57 + 2*t^4.68 + t^4.81 + t^4.92 + t^5.05 + 3*t^5.16 + 3*t^5.28 + t^5.41 + 2*t^5.52 + 2*t^5.65 + 2*t^5.76 - 2*t^6. - t^4.32/y - t^4.32*y | detail | |
| 5418 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5q_1\tilde{q}_2$ + $ M_4M_5$ + $ M_1X_1$ + $ M_6\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2M_7$ + $ M_4M_8$ | 0.637 | 0.8083 | 0.7881 | [X:[1.3884], M:[0.6116, 1.1295, 0.7842, 1.0432, 0.9568, 0.6942, 0.8705, 0.9568], q:[0.7824, 0.606], qb:[0.6098, 0.2608], phi:[0.4353]] | t^2.08 + t^2.35 + t^2.6 + 2*t^2.61 + 2*t^2.87 + t^3.91 + 2*t^4.17 + t^4.18 + t^4.44 + t^4.68 + 2*t^4.69 + t^4.71 + t^4.94 + 3*t^4.95 + 2*t^4.96 + t^5.2 + 2*t^5.21 + 5*t^5.22 + 2*t^5.47 + 4*t^5.48 + 2*t^5.74 - 3*t^6. - t^4.31/y - t^4.31*y | detail | |
| 5417 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5q_1\tilde{q}_2$ + $ M_4M_5$ + $ M_1X_1$ + $ M_6\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2M_7$ + $ M_5M_8$ | 0.6291 | 0.7957 | 0.7906 | [X:[1.3758], M:[0.6242, 1.1253, 0.7912, 1.0418, 0.9582, 0.6879, 0.8747, 1.0418], q:[0.7813, 0.5945], qb:[0.6143, 0.2604], phi:[0.4374]] | t^2.06 + t^2.37 + t^2.56 + 2*t^2.62 + 2*t^3.13 + t^3.88 + 2*t^4.13 + t^4.19 + t^4.44 + t^4.63 + 2*t^4.69 + t^4.75 + t^4.88 + t^4.94 + 2*t^5. + t^5.13 + 4*t^5.19 + 3*t^5.25 + 2*t^5.5 + 2*t^5.69 + 3*t^5.75 - 3*t^6. - t^4.31/y - t^4.31*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 |
|---|---|---|---|---|---|---|---|---|---|
| 3363 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5q_1\tilde{q}_2$ + $ M_4M_5$ + $ M_1X_1$ + $ M_6\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6219 | 0.784 | 0.7932 | [X:[1.3657], M:[0.6343, 1.1219, 0.7968, 1.0406, 0.9594, 0.6828], q:[0.7805, 0.5852], qb:[0.618, 0.2602], phi:[0.4391]] | t^2.05 + t^2.39 + t^2.54 + t^2.63 + t^2.88 + t^3.12 + t^3.37 + t^3.85 + 2*t^4.1 + t^4.2 + t^4.44 + t^4.58 + t^4.68 + t^4.78 + t^4.83 + 2*t^4.93 + t^5.02 + t^5.07 + 2*t^5.17 + 2*t^5.27 + 2*t^5.41 + 2*t^5.51 + t^5.66 + 2*t^5.76 + t^5.9 - t^6. - t^4.32/y - t^4.32*y | detail |