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 |
|---|---|---|---|---|---|---|---|---|---|
| 3874 | 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_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]] | [X:[[28]], M:[[-18], [2], [-28], [12], [-12], [-8], [2]], 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_7$, $ M_4$, $ M_5$, $ \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_1M_7$, $ M_6\phi_1^2$, $ \phi_1^4$, $ \phi_1q_2\tilde{q}_2$, $ M_1M_4$, $ M_2M_6$, $ M_6M_7$, $ M_2\phi_1^2$, $ M_7\phi_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2^2$, $ M_4M_6$, $ M_2M_7$, $ M_7^2$, $ M_4\phi_1^2$, $ q_1\tilde{q}_2$, $ M_2M_4$, $ M_4M_7$, $ \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$ | $M_1\phi_1\tilde{q}_1^2$ | -1 | 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^6.14 + 3*t^6.28 + 3*t^6.41 + t^6.46 + t^6.55 + 2*t^6.59 + 5*t^6.73 + 9*t^6.87 + 10*t^7.01 + 10*t^7.14 + 8*t^7.28 + 3*t^7.42 + t^7.7 + t^7.74 + t^7.83 + t^7.88 + t^7.97 + t^8.01 - 3*t^8.15 - 4*t^8.29 - 6*t^8.43 + t^8.61 + 5*t^8.7 + 2*t^8.75 + 6*t^8.84 + 5*t^8.88 + 3*t^8.98 - t^4.14/y - t^6.3/y - (2*t^6.43)/y - (2*t^6.57)/y + (2*t^7.44)/y + (3*t^7.58)/y + (7*t^7.72)/y + (5*t^7.86)/y + (3*t^7.99)/y - t^8.45/y - t^8.59/y - (3*t^8.72)/y - (2*t^8.86)/y - t^4.14*y - t^6.3*y - 2*t^6.43*y - 2*t^6.57*y + 2*t^7.44*y + 3*t^7.58*y + 7*t^7.72*y + 5*t^7.86*y + 3*t^7.99*y - t^8.45*y - t^8.59*y - 3*t^8.72*y - 2*t^8.86*y | t^2.15/g1^18 + (2*t^2.29)/g1^8 + 2*g1^2*t^2.43 + g1^12*t^2.57 + t^3.43/g1^12 + g1^18*t^3.85 + g1^28*t^3.99 + t^4.3/g1^36 + (2*t^4.44)/g1^26 + (5*t^4.58)/g1^16 + (5*t^4.72)/g1^6 + 6*g1^4*t^4.86 + 2*g1^14*t^4.99 + g1^24*t^5.13 + t^5.59/g1^30 + t^5.72/g1^20 - t^6. + g1^10*t^6.14 + 3*g1^20*t^6.28 + 3*g1^30*t^6.41 + t^6.46/g1^54 + g1^40*t^6.55 + (2*t^6.59)/g1^44 + (5*t^6.73)/g1^34 + (9*t^6.87)/g1^24 + (10*t^7.01)/g1^14 + (10*t^7.14)/g1^4 + 8*g1^6*t^7.28 + 3*g1^16*t^7.42 + g1^36*t^7.7 + t^7.74/g1^48 + g1^46*t^7.83 + t^7.88/g1^38 + g1^56*t^7.97 + t^8.01/g1^28 - (3*t^8.15)/g1^18 - (4*t^8.29)/g1^8 - 6*g1^2*t^8.43 + t^8.61/g1^72 + 5*g1^22*t^8.7 + (2*t^8.75)/g1^62 + 6*g1^32*t^8.84 + (5*t^8.88)/g1^52 + 3*g1^42*t^8.98 - t^4.14/(g1^4*y) - t^6.3/(g1^22*y) - (2*t^6.43)/(g1^12*y) - (2*t^6.57)/(g1^2*y) + (2*t^7.44)/(g1^26*y) + (3*t^7.58)/(g1^16*y) + (7*t^7.72)/(g1^6*y) + (5*g1^4*t^7.86)/y + (3*g1^14*t^7.99)/y - t^8.45/(g1^40*y) - t^8.59/(g1^30*y) - (3*t^8.72)/(g1^20*y) - (2*t^8.86)/(g1^10*y) - (t^4.14*y)/g1^4 - (t^6.3*y)/g1^22 - (2*t^6.43*y)/g1^12 - (2*t^6.57*y)/g1^2 + (2*t^7.44*y)/g1^26 + (3*t^7.58*y)/g1^16 + (7*t^7.72*y)/g1^6 + 5*g1^4*t^7.86*y + 3*g1^14*t^7.99*y - (t^8.45*y)/g1^40 - (t^8.59*y)/g1^30 - (3*t^8.72*y)/g1^20 - (2*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 |
|---|---|---|---|---|---|---|---|---|
| 5465 | $M_1q_1q_2$ + $ 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$ + $ M_1M_8$ | 0.6507 | 0.8095 | 0.8039 | [X:[1.3054], M:[0.7322, 0.8075, 0.6946, 0.8452, 1.1548, 0.7699, 0.8075, 1.2678], q:[0.864, 0.4038], qb:[0.4414, 0.7511], phi:[0.3849]] | 2*t^2.31 + 2*t^2.42 + t^2.54 + t^3.46 + 2*t^3.8 + t^3.92 + 3*t^4.62 + 4*t^4.73 + 6*t^4.85 + 2*t^4.96 + t^5.07 + t^5.77 - 2*t^6. - t^4.15/y - t^4.15*y | detail | |
| 5466 | $M_1q_1q_2$ + $ 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$ + $ M_8\phi_1\tilde{q}_1^2$ | 0.691 | 0.8849 | 0.7809 | [X:[1.3435], M:[0.7077, 0.8103, 0.6565, 0.8615, 1.1385, 0.759, 0.8103, 0.7077], q:[0.8871, 0.4051], qb:[0.4564, 0.7334], phi:[0.3795]] | 2*t^2.12 + 2*t^2.28 + 2*t^2.43 + t^2.58 + t^3.42 + t^4.03 + 3*t^4.25 + 4*t^4.4 + 7*t^4.55 + 6*t^4.71 + 6*t^4.86 + 2*t^5.02 + t^5.17 + 2*t^5.54 + t^5.69 - 2*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 |
|---|---|---|---|---|---|---|---|---|---|
| 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} |