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 |
|---|---|---|---|---|---|---|---|---|---|
| 3873 | 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_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1q_1\tilde{q}_2$ + $ M_2\phi_1q_2^2$ + $ M_6\phi_1q_2\tilde{q}_1$ + $ M_3X_1$ + $ M_5M_7$ | 0.6679 | 0.8411 | 0.7941 | [X:[1.2996], M:[0.736, 0.8071, 0.7004, 0.8427, 1.1573, 0.7715, 0.8427], q:[0.8605, 0.4036], qb:[0.4391, 0.7538], phi:[0.3858]] | [X:[[28]], M:[[-18], [2], [-28], [12], [-12], [-8], [12]], q:[[17], [1]], qb:[[11], [-13]], phi:[[-4]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ M_6$, $ \phi_1^2$, $ M_2$, $ M_4$, $ M_7$, $ \phi_1q_2^2$, $ \phi_1\tilde{q}_1^2$, $ X_1$, $ M_1^2$, $ M_1M_6$, $ M_1\phi_1^2$, $ M_1M_2$, $ M_6^2$, $ M_6\phi_1^2$, $ \phi_1^4$, $ \phi_1q_2\tilde{q}_2$, $ M_1M_4$, $ M_2M_6$, $ M_1M_7$, $ M_2\phi_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2^2$, $ M_4M_6$, $ M_6M_7$, $ M_4\phi_1^2$, $ M_7\phi_1^2$, $ q_1\tilde{q}_2$, $ M_2M_4$, $ M_2M_7$, $ \phi_1q_1q_2$, $ M_4^2$, $ M_4M_7$, $ M_7^2$, $ \phi_1q_1\tilde{q}_1$ | $M_1\phi_1\tilde{q}_1^2$ | -1 | t^2.21 + 2*t^2.31 + t^2.42 + 2*t^2.53 + t^3.58 + t^3.79 + t^3.9 + t^4.42 + 2*t^4.52 + 4*t^4.63 + 4*t^4.74 + 6*t^4.84 + 2*t^4.95 + 3*t^5.06 - t^6. + 3*t^6.11 + 2*t^6.21 + 3*t^6.32 + 2*t^6.43 + t^6.62 + 2*t^6.73 + 4*t^6.84 + 7*t^6.94 + 7*t^7.05 + 10*t^7.16 + 5*t^7.26 + 7*t^7.37 + 2*t^7.48 + 4*t^7.58 + t^7.69 + t^7.8 - 2*t^8.1 - 3*t^8.21 - 5*t^8.31 - 2*t^8.42 - 2*t^8.53 + 6*t^8.63 + 5*t^8.74 + t^8.83 + 5*t^8.85 + 2*t^8.94 + 3*t^8.95 - t^4.16/y - t^6.37/y - (2*t^6.47)/y - t^6.58/y - t^6.69/y + (2*t^7.52)/y + (3*t^7.63)/y + (5*t^7.74)/y + (6*t^7.84)/y + (3*t^7.95)/y + t^8.06/y - t^8.57/y - (2*t^8.68)/y - (3*t^8.79)/y - t^8.89/y - t^4.16*y - t^6.37*y - 2*t^6.47*y - t^6.58*y - t^6.69*y + 2*t^7.52*y + 3*t^7.63*y + 5*t^7.74*y + 6*t^7.84*y + 3*t^7.95*y + t^8.06*y - t^8.57*y - 2*t^8.68*y - 3*t^8.79*y - t^8.89*y | t^2.21/g1^18 + (2*t^2.31)/g1^8 + g1^2*t^2.42 + 2*g1^12*t^2.53 + t^3.58/g1^2 + g1^18*t^3.79 + g1^28*t^3.9 + t^4.42/g1^36 + (2*t^4.52)/g1^26 + (4*t^4.63)/g1^16 + (4*t^4.74)/g1^6 + 6*g1^4*t^4.84 + 2*g1^14*t^4.95 + 3*g1^24*t^5.06 - t^6. + 3*g1^10*t^6.11 + 2*g1^20*t^6.21 + 3*g1^30*t^6.32 + 2*g1^40*t^6.43 + t^6.62/g1^54 + (2*t^6.73)/g1^44 + (4*t^6.84)/g1^34 + (7*t^6.94)/g1^24 + (7*t^7.05)/g1^14 + (10*t^7.16)/g1^4 + 5*g1^6*t^7.26 + 7*g1^16*t^7.37 + 2*g1^26*t^7.48 + 4*g1^36*t^7.58 + g1^46*t^7.69 + g1^56*t^7.8 - (2*t^8.1)/g1^28 - (3*t^8.21)/g1^18 - (5*t^8.31)/g1^8 - 2*g1^2*t^8.42 - 2*g1^12*t^8.53 + 6*g1^22*t^8.63 + 5*g1^32*t^8.74 + t^8.83/g1^72 + 5*g1^42*t^8.85 + (2*t^8.94)/g1^62 + 3*g1^52*t^8.95 - t^4.16/(g1^4*y) - t^6.37/(g1^22*y) - (2*t^6.47)/(g1^12*y) - t^6.58/(g1^2*y) - (g1^8*t^6.69)/y + (2*t^7.52)/(g1^26*y) + (3*t^7.63)/(g1^16*y) + (5*t^7.74)/(g1^6*y) + (6*g1^4*t^7.84)/y + (3*g1^14*t^7.95)/y + (g1^24*t^8.06)/y - t^8.57/(g1^40*y) - (2*t^8.68)/(g1^30*y) - (3*t^8.79)/(g1^20*y) - t^8.89/(g1^10*y) - (t^4.16*y)/g1^4 - (t^6.37*y)/g1^22 - (2*t^6.47*y)/g1^12 - (t^6.58*y)/g1^2 - g1^8*t^6.69*y + (2*t^7.52*y)/g1^26 + (3*t^7.63*y)/g1^16 + (5*t^7.74*y)/g1^6 + 6*g1^4*t^7.84*y + 3*g1^14*t^7.95*y + g1^24*t^8.06*y - (t^8.57*y)/g1^40 - (2*t^8.68*y)/g1^30 - (3*t^8.79*y)/g1^20 - (t^8.89*y)/g1^10 |
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 |
|---|---|---|---|---|---|---|---|---|
| 5461 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1q_1\tilde{q}_2$ + $ M_2\phi_1q_2^2$ + $ M_6\phi_1q_2\tilde{q}_1$ + $ M_3X_1$ + $ M_5M_7$ + $ M_8\phi_1\tilde{q}_1^2$ | 0.6877 | 0.8778 | 0.7834 | [X:[1.3189], M:[0.7236, 0.8085, 0.6811, 0.851, 1.149, 0.766, 0.851, 0.7236], q:[0.8722, 0.4042], qb:[0.4467, 0.7448], phi:[0.383]] | 2*t^2.17 + 2*t^2.3 + t^2.43 + 2*t^2.55 + t^3.57 + t^3.96 + 3*t^4.34 + 4*t^4.47 + 5*t^4.6 + 6*t^4.72 + 6*t^4.85 + 2*t^4.98 + 3*t^5.11 + t^5.75 - 2*t^6. - t^4.15/y - t^4.15*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 |
|---|---|---|---|---|---|---|---|---|---|
| 3393 | 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_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1q_1\tilde{q}_2$ + $ M_2\phi_1q_2^2$ + $ M_6\phi_1q_2\tilde{q}_1$ + $ M_3X_1$ | 0.6548 | 0.8185 | 0.8 | [X:[1.3333], M:[0.7143, 0.8095, 0.6667, 0.8571, 1.1429, 0.7619], q:[0.881, 0.4048], qb:[0.4524, 0.7381], phi:[0.381]] | t^2.14 + 2*t^2.29 + t^2.43 + t^2.57 + t^3.43 + t^3.57 + t^3.86 + t^4. + t^4.29 + 2*t^4.43 + 4*t^4.57 + 3*t^4.71 + 4*t^4.86 + t^5. + t^5.14 + t^5.57 + 2*t^5.71 + t^5.86 - t^4.14/y - t^4.14*y | detail | {a: 55/84, c: 275/336, X1: 4/3, M1: 5/7, M2: 17/21, M3: 2/3, M4: 6/7, M5: 8/7, M6: 16/21, q1: 37/42, q2: 17/42, qb1: 19/42, qb2: 31/42, phi1: 8/21} |