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 |
|---|---|---|---|---|---|---|---|---|---|
| 3957 | 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_1M_3$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ + $ M_5\phi_1q_1\tilde{q}_1$ + $ M_6q_1\tilde{q}_2$ + $ M_2X_2$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_3M_7$ | 0.6518 | 0.8129 | 0.8018 | [X:[1.6149, 1.3042], M:[0.8446, 0.6958, 1.1554, 0.3851, 0.7702, 0.733, 0.8446], q:[0.4037, 0.7516], qb:[0.4409, 0.8633], phi:[0.3851]] | [X:[[4], [28]], M:[[12], [-28], [-12], [-4], [-8], [-18], [12]], q:[[1], [-13]], qb:[[11], [17]], phi:[[-4]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_5$, $ \phi_1^2$, $ M_1$, $ M_7$, $ \phi_1q_1^2$, $ q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ X_2$, $ M_6^2$, $ M_5M_6$, $ M_6\phi_1^2$, $ M_5^2$, $ M_5\phi_1^2$, $ \phi_1^4$, $ \phi_1q_1q_2$, $ M_1M_6$, $ M_6M_7$, $ \phi_1q_2\tilde{q}_1$, $ M_1M_5$, $ M_5M_7$, $ M_1\phi_1^2$, $ M_7\phi_1^2$, $ X_1$, $ M_1^2$, $ M_1M_7$, $ M_7^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_6\phi_1q_1^2$, $ M_6q_2\tilde{q}_1$, $ M_5\phi_1q_1^2$, $ \phi_1^3q_1^2$, $ M_5q_2\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$ | . | -2 | t^2.2 + 2*t^2.31 + 2*t^2.53 + 2*t^3.58 + t^3.8 + t^3.91 + t^4.4 + 2*t^4.51 + 3*t^4.62 + 2*t^4.73 + 5*t^4.84 + 3*t^5.07 + t^5.78 + 2*t^5.89 - 2*t^6. + 5*t^6.11 + t^6.22 + 2*t^6.33 + 2*t^6.45 + t^6.6 + 2*t^6.71 + 3*t^6.82 + 5*t^6.93 + 3*t^7.04 + 8*t^7.16 - t^7.27 + 6*t^7.38 + 4*t^7.6 + t^7.71 + t^7.83 + t^7.98 - 3*t^8.31 + 4*t^8.42 - 5*t^8.53 + 7*t^8.65 + 2*t^8.76 + t^8.8 + 3*t^8.87 + 2*t^8.91 + 3*t^8.98 - t^4.16/y - t^6.35/y - (2*t^6.47)/y - t^6.69/y + (2*t^7.51)/y + (2*t^7.62)/y + (2*t^7.73)/y + (6*t^7.84)/y + t^7.96/y + t^8.07/y - t^8.55/y - (2*t^8.67)/y - t^8.78/y + (3*t^8.89)/y - t^4.16*y - t^6.35*y - 2*t^6.47*y - t^6.69*y + 2*t^7.51*y + 2*t^7.62*y + 2*t^7.73*y + 6*t^7.84*y + t^7.96*y + t^8.07*y - t^8.55*y - 2*t^8.67*y - t^8.78*y + 3*t^8.89*y | t^2.2/g1^18 + (2*t^2.31)/g1^8 + 2*g1^12*t^2.53 + (2*t^3.58)/g1^2 + g1^18*t^3.8 + g1^28*t^3.91 + t^4.4/g1^36 + (2*t^4.51)/g1^26 + (3*t^4.62)/g1^16 + (2*t^4.73)/g1^6 + 5*g1^4*t^4.84 + 3*g1^24*t^5.07 + t^5.78/g1^20 + (2*t^5.89)/g1^10 - 2*t^6. + 5*g1^10*t^6.11 + g1^20*t^6.22 + 2*g1^30*t^6.33 + 2*g1^40*t^6.45 + t^6.6/g1^54 + (2*t^6.71)/g1^44 + (3*t^6.82)/g1^34 + (5*t^6.93)/g1^24 + (3*t^7.04)/g1^14 + (8*t^7.16)/g1^4 - g1^6*t^7.27 + 6*g1^16*t^7.38 + 4*g1^36*t^7.6 + g1^46*t^7.71 + g1^56*t^7.83 + t^7.98/g1^38 - (3*t^8.31)/g1^8 + 4*g1^2*t^8.42 - 5*g1^12*t^8.53 + 7*g1^22*t^8.65 + 2*g1^32*t^8.76 + t^8.8/g1^72 + 3*g1^42*t^8.87 + (2*t^8.91)/g1^62 + 3*g1^52*t^8.98 - t^4.16/(g1^4*y) - t^6.35/(g1^22*y) - (2*t^6.47)/(g1^12*y) - (g1^8*t^6.69)/y + (2*t^7.51)/(g1^26*y) + (2*t^7.62)/(g1^16*y) + (2*t^7.73)/(g1^6*y) + (6*g1^4*t^7.84)/y + (g1^14*t^7.96)/y + (g1^24*t^8.07)/y - t^8.55/(g1^40*y) - (2*t^8.67)/(g1^30*y) - t^8.78/(g1^20*y) + (3*t^8.89)/(g1^10*y) - (t^4.16*y)/g1^4 - (t^6.35*y)/g1^22 - (2*t^6.47*y)/g1^12 - g1^8*t^6.69*y + (2*t^7.51*y)/g1^26 + (2*t^7.62*y)/g1^16 + (2*t^7.73*y)/g1^6 + 6*g1^4*t^7.84*y + g1^14*t^7.96*y + g1^24*t^8.07*y - (t^8.55*y)/g1^40 - (2*t^8.67*y)/g1^30 - (t^8.78*y)/g1^20 + (3*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 |
|---|---|---|---|---|---|---|---|---|
| 5501 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ + $ M_5\phi_1q_1\tilde{q}_1$ + $ M_6q_1\tilde{q}_2$ + $ M_2X_2$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_3M_7$ + $ M_8\phi_1\tilde{q}_1^2$ | 0.6717 | 0.85 | 0.7902 | [X:[1.6175, 1.3228], M:[0.8526, 0.6772, 1.1474, 0.3825, 0.7649, 0.7211, 0.8526, 0.7211], q:[0.4044, 0.743], qb:[0.4482, 0.8745], phi:[0.3825]] | 2*t^2.16 + 2*t^2.29 + 2*t^2.56 + 2*t^3.57 + t^3.97 + 3*t^4.33 + 4*t^4.46 + 3*t^4.59 + 4*t^4.72 + 5*t^4.85 + 3*t^5.12 + 3*t^5.74 + 2*t^5.87 - 3*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 |
|---|---|---|---|---|---|---|---|---|---|
| 3686 | 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_1M_3$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ + $ M_5\phi_1q_1\tilde{q}_1$ + $ M_6q_1\tilde{q}_2$ + $ M_2X_2$ + $ M_6\phi_1\tilde{q}_1^2$ | 0.6389 | 0.7907 | 0.808 | [X:[1.6197, 1.3382], M:[0.8592, 0.6618, 1.1408, 0.3803, 0.7605, 0.7111], q:[0.4049, 0.7358], qb:[0.4543, 0.8839], phi:[0.3803]] | t^2.13 + 2*t^2.28 + t^2.58 + t^3.42 + 2*t^3.57 + t^3.87 + t^4.01 + t^4.27 + 2*t^4.41 + 3*t^4.56 + t^4.71 + 3*t^4.86 + t^5.16 + t^5.56 + 3*t^5.7 + 2*t^5.85 - t^6. - t^4.14/y - t^4.14*y | detail |