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 |
|---|---|---|---|---|---|---|---|---|---|
| 3473 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ \phi_1q_1\tilde{q}_2$ + $ M_1\phi_1\tilde{q}_1^2$ + $ M_1M_7$ | 0.6228 | 0.765 | 0.8141 | [X:[], M:[0.8084, 1.2337, 0.7242, 0.8505, 0.6821, 1.1495, 1.1916], q:[0.7453, 0.4463], qb:[0.4042, 0.8716], phi:[0.3832]] | [X:[], M:[[2], [8], [-18], [12], [-28], [-12], [-2]], q:[[-13], [11]], qb:[[1], [17]], phi:[[-4]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_3$, $ M_4$, $ M_6$, $ M_7$, $ \phi_1\tilde{q}_1^2$, $ M_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ M_5^2$, $ M_3M_5$, $ M_3^2$, $ M_4M_5$, $ \phi_1q_1\tilde{q}_1$, $ M_3M_4$, $ \phi_1q_1q_2$, $ q_1\tilde{q}_2$, $ M_4^2$, $ \phi_1q_2\tilde{q}_2$, $ M_5M_6$, $ M_3M_6$, $ M_5M_7$, $ \phi_1q_1^2$, $ M_5\phi_1\tilde{q}_1^2$, $ M_2M_5$, $ M_3M_7$, $ M_5\phi_1q_2\tilde{q}_1$, $ M_2M_3$, $ M_5\phi_1q_2^2$ | $M_3\phi_1q_2^2$ | -1 | t^2.05 + t^2.17 + t^2.55 + t^3.45 + 2*t^3.57 + 2*t^3.7 + t^3.83 + t^4.09 + t^4.22 + t^4.35 + t^4.6 + t^4.72 + t^4.85 + t^5.1 + t^5.49 + 3*t^5.62 + 3*t^5.75 + t^5.87 - t^6. + t^6.14 + t^6.25 + t^6.27 + t^6.38 + t^6.39 + t^6.52 + t^6.64 + t^6.77 + 2*t^6.9 + t^7.02 + 3*t^7.15 + 2*t^7.28 + 2*t^7.4 + t^7.54 + t^7.65 + 3*t^7.67 + 4*t^7.79 + 2*t^7.92 - t^8.05 - t^8.17 + t^8.19 + t^8.3 + t^8.31 + t^8.44 - t^8.55 + t^8.56 - t^8.68 + 2*t^8.69 + t^8.82 + t^8.93 + 2*t^8.94 - t^4.15/y - t^6.2/y - t^6.32/y + t^7.22/y + t^7.6/y + t^7.72/y + t^7.98/y + t^8.1/y - t^8.24/y - t^8.37/y + (3*t^8.62)/y + (4*t^8.75)/y + (3*t^8.87)/y - t^4.15*y - t^6.2*y - t^6.32*y + t^7.22*y + t^7.6*y + t^7.72*y + t^7.98*y + t^8.1*y - t^8.24*y - t^8.37*y + 3*t^8.62*y + 4*t^8.75*y + 3*t^8.87*y | t^2.05/g1^28 + t^2.17/g1^18 + g1^12*t^2.55 + t^3.45/g1^12 + (2*t^3.57)/g1^2 + 2*g1^8*t^3.7 + g1^18*t^3.83 + t^4.09/g1^56 + t^4.22/g1^46 + t^4.35/g1^36 + t^4.6/g1^16 + t^4.72/g1^6 + g1^4*t^4.85 + g1^24*t^5.1 + t^5.49/g1^40 + (3*t^5.62)/g1^30 + (3*t^5.75)/g1^20 + t^5.87/g1^10 - t^6. + t^6.14/g1^84 + g1^20*t^6.25 + t^6.27/g1^74 + g1^30*t^6.38 + t^6.39/g1^64 + t^6.52/g1^54 + t^6.64/g1^44 + t^6.77/g1^34 + (2*t^6.9)/g1^24 + t^7.02/g1^14 + (3*t^7.15)/g1^4 + 2*g1^6*t^7.28 + 2*g1^16*t^7.4 + t^7.54/g1^68 + g1^36*t^7.65 + (3*t^7.67)/g1^58 + (4*t^7.79)/g1^48 + (2*t^7.92)/g1^38 - t^8.05/g1^28 - t^8.17/g1^18 + t^8.19/g1^112 + t^8.3/g1^8 + t^8.31/g1^102 + t^8.44/g1^92 - g1^12*t^8.55 + t^8.56/g1^82 - g1^22*t^8.68 + (2*t^8.69)/g1^72 + t^8.82/g1^62 + g1^42*t^8.93 + (2*t^8.94)/g1^52 - t^4.15/(g1^4*y) - t^6.2/(g1^32*y) - t^6.32/(g1^22*y) + t^7.22/(g1^46*y) + t^7.6/(g1^16*y) + t^7.72/(g1^6*y) + (g1^14*t^7.98)/y + (g1^24*t^8.1)/y - t^8.24/(g1^60*y) - t^8.37/(g1^50*y) + (3*t^8.62)/(g1^30*y) + (4*t^8.75)/(g1^20*y) + (3*t^8.87)/(g1^10*y) - (t^4.15*y)/g1^4 - (t^6.2*y)/g1^32 - (t^6.32*y)/g1^22 + (t^7.22*y)/g1^46 + (t^7.6*y)/g1^16 + (t^7.72*y)/g1^6 + g1^14*t^7.98*y + g1^24*t^8.1*y - (t^8.24*y)/g1^60 - (t^8.37*y)/g1^50 + (3*t^8.62*y)/g1^30 + (4*t^8.75*y)/g1^20 + (3*t^8.87*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 |
|---|---|---|---|---|---|---|---|---|
| 5154 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ \phi_1q_1\tilde{q}_2$ + $ M_1\phi_1\tilde{q}_1^2$ + $ M_1M_7$ + $ M_8\phi_1q_2^2$ | 0.6429 | 0.8033 | 0.8003 | [X:[], M:[0.8093, 1.2371, 0.7166, 0.8556, 0.6702, 1.1444, 1.1907, 0.7166], q:[0.7397, 0.451], qb:[0.4046, 0.8788], phi:[0.3815]] | t^2.01 + 2*t^2.15 + t^2.57 + t^3.43 + 2*t^3.57 + 2*t^3.71 + t^4.02 + 2*t^4.16 + 3*t^4.3 + t^4.58 + 2*t^4.72 + t^4.86 + t^5.13 + t^5.44 + 4*t^5.58 + 5*t^5.72 + 2*t^5.86 - 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 |
|---|---|---|---|---|---|---|---|---|---|
| 2898 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ \phi_1q_1\tilde{q}_2$ + $ M_1\phi_1\tilde{q}_1^2$ | 0.6388 | 0.7929 | 0.8057 | [X:[], M:[0.8082, 1.2328, 0.7263, 0.8492, 0.6853, 1.1508], q:[0.7468, 0.4451], qb:[0.4041, 0.8696], phi:[0.3836]] | t^2.06 + t^2.18 + t^2.42 + t^2.55 + t^3.45 + t^3.58 + 2*t^3.7 + t^3.82 + t^4.11 + t^4.23 + t^4.36 + t^4.48 + 2*t^4.6 + t^4.73 + 2*t^4.85 + t^4.97 + t^5.09 + t^5.51 + 2*t^5.63 + 2*t^5.75 + 2*t^5.88 - t^4.15/y - t^4.15*y | detail |