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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | [X:[[28]], M:[[-18], [2], [-28], [12], [-12], [-8]], q:[[17], [1]], qb:[[11], [-13]], phi:[[-4]]] | 1 | {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} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ M_6$, $ \phi_1^2$, $ M_2$, $ M_4$, $ M_5$, $ \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_2\phi_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2^2$, $ M_4M_6$, $ M_4\phi_1^2$, $ q_1\tilde{q}_2$, $ M_2M_4$, $ \phi_1q_1q_2$, $ M_4^2$, $ \phi_1q_1\tilde{q}_1$, $ M_1M_5$, $ \phi_1\tilde{q}_2^2$, $ M_5M_6$, $ M_5\phi_1^2$, $ M_2M_5$, $ M_6\phi_1q_2^2$, $ \phi_1^3q_2^2$ | $M_1\phi_1\tilde{q}_1^2$ | 0 | 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 + 2*t^6.14 + 2*t^6.29 + 3*t^6.43 + 3*t^6.57 + 4*t^6.71 + 7*t^6.86 + 6*t^7. + 6*t^7.14 + 2*t^7.29 + 2*t^7.43 + 2*t^7.71 + 3*t^7.86 + 3*t^8. - t^8.29 - t^8.43 + t^8.57 + 5*t^8.71 + 7*t^8.86 - t^4.14/y - t^6.29/y - (2*t^6.43)/y - t^6.57/y + (2*t^7.43)/y + (2*t^7.57)/y + (4*t^7.71)/y + (4*t^7.86)/y + (2*t^8.)/y - t^8.43/y - t^8.57/y - t^8.71/y + t^8.86/y - t^4.14*y - t^6.29*y - 2*t^6.43*y - t^6.57*y + 2*t^7.43*y + 2*t^7.57*y + 4*t^7.71*y + 4*t^7.86*y + 2*t^8.*y - t^8.43*y - t^8.57*y - t^8.71*y + t^8.86*y | t^2.14/g1^18 + (2*t^2.29)/g1^8 + g1^2*t^2.43 + g1^12*t^2.57 + t^3.43/g1^12 + t^3.57/g1^2 + g1^18*t^3.86 + g1^28*t^4. + t^4.29/g1^36 + (2*t^4.43)/g1^26 + (4*t^4.57)/g1^16 + (3*t^4.71)/g1^6 + 4*g1^4*t^4.86 + g1^14*t^5. + g1^24*t^5.14 + t^5.57/g1^30 + (2*t^5.71)/g1^20 + t^5.86/g1^10 + 2*g1^10*t^6.14 + 2*g1^20*t^6.29 + t^6.43/g1^54 + 2*g1^30*t^6.43 + (2*t^6.57)/g1^44 + g1^40*t^6.57 + (4*t^6.71)/g1^34 + (7*t^6.86)/g1^24 + (6*t^7.)/g1^14 + (6*t^7.14)/g1^4 + 2*g1^6*t^7.29 + 2*g1^16*t^7.43 + t^7.71/g1^48 + g1^36*t^7.71 + (2*t^7.86)/g1^38 + g1^46*t^7.86 + (2*t^8.)/g1^28 + g1^56*t^8. - t^8.29/g1^8 - g1^2*t^8.43 + t^8.57/g1^72 + (2*t^8.71)/g1^62 + 3*g1^22*t^8.71 + (4*t^8.86)/g1^52 + 3*g1^32*t^8.86 - t^4.14/(g1^4*y) - t^6.29/(g1^22*y) - (2*t^6.43)/(g1^12*y) - t^6.57/(g1^2*y) + (2*t^7.43)/(g1^26*y) + (2*t^7.57)/(g1^16*y) + (4*t^7.71)/(g1^6*y) + (4*g1^4*t^7.86)/y + (2*g1^14*t^8.)/y - t^8.43/(g1^40*y) - t^8.57/(g1^30*y) - t^8.71/(g1^20*y) + t^8.86/(g1^10*y) - (t^4.14*y)/g1^4 - (t^6.29*y)/g1^22 - (2*t^6.43*y)/g1^12 - (t^6.57*y)/g1^2 + (2*t^7.43*y)/g1^26 + (2*t^7.57*y)/g1^16 + (4*t^7.71*y)/g1^6 + 4*g1^4*t^7.86*y + 2*g1^14*t^8.*y - (t^8.43*y)/g1^40 - (t^8.57*y)/g1^30 - (t^8.71*y)/g1^20 + (t^8.86*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 |
|---|---|---|---|---|---|---|---|---|
| 3872 | $M_1q_1q_2$ + $ 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_1M_7$ | 0.6347 | 0.7812 | 0.8125 | [X:[1.3115], M:[0.7283, 0.808, 0.6885, 0.8478, 1.1522, 0.7682, 1.2717], q:[0.8677, 0.404], qb:[0.4438, 0.7482], phi:[0.3841]] | 2*t^2.3 + t^2.42 + t^2.54 + t^3.46 + t^3.58 + 2*t^3.81 + t^3.93 + 3*t^4.61 + 2*t^4.73 + 4*t^4.85 + t^4.97 + t^5.09 + t^5.76 + t^5.88 - t^6. - t^4.15/y - t^4.15*y | detail | |
| 3873 | $M_1q_1q_2$ + $ 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]] | 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. - t^4.16/y - t^4.16*y | detail | |
| 3874 | $M_1q_1q_2$ + $ 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_7\phi_1q_2^2$ | 0.6707 | 0.8463 | 0.7925 | [X:[1.3285], M:[0.7174, 0.8092, 0.6715, 0.8551, 1.1449, 0.7633, 0.8092], q:[0.878, 0.4046], qb:[0.4505, 0.7404], phi:[0.3816]] | t^2.15 + 2*t^2.29 + 2*t^2.43 + t^2.57 + t^3.43 + t^3.85 + t^3.99 + t^4.3 + 2*t^4.44 + 5*t^4.58 + 5*t^4.72 + 6*t^4.86 + 2*t^4.99 + t^5.13 + t^5.59 + t^5.72 - t^6. - t^4.14/y - t^4.14*y | detail | |
| 3877 | $M_1q_1q_2$ + $ 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_7\phi_1\tilde{q}_1^2$ | 0.6751 | 0.8573 | 0.7874 | [X:[1.3475], M:[0.7052, 0.8105, 0.6525, 0.8632, 1.1368, 0.7578, 0.7052], q:[0.8896, 0.4053], qb:[0.458, 0.7315], phi:[0.3789]] | 2*t^2.12 + 2*t^2.27 + t^2.43 + t^2.59 + t^3.41 + t^3.57 + t^4.04 + 3*t^4.23 + 4*t^4.39 + 5*t^4.55 + 4*t^4.71 + 4*t^4.86 + t^5.02 + t^5.18 + 2*t^5.53 + 3*t^5.68 + t^5.84 - t^6. - t^4.14/y - t^4.14*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2841 | 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$ | 0.6571 | 0.8263 | 0.7953 | [X:[], M:[0.7201, 0.8089, 0.6757, 0.8533, 1.1467], q:[0.8754, 0.4044], qb:[0.4488, 0.7423], phi:[0.3822]] | t^2.03 + t^2.16 + t^2.29 + t^2.43 + t^2.56 + t^3.44 + t^3.57 + t^3.71 + t^3.84 + t^4.05 + t^4.19 + 2*t^4.32 + 2*t^4.45 + 3*t^4.59 + 2*t^4.72 + 3*t^4.85 + t^4.99 + t^5.12 + t^5.47 + 2*t^5.6 + 2*t^5.73 + 2*t^5.87 + t^6. - t^4.15/y - t^4.15*y | detail |