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 |
|---|---|---|---|---|---|---|---|---|---|
| 3858 | 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$ + $ M_3M_5$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_6q_1\tilde{q}_2$ + $ M_7q_1\tilde{q}_2$ | 0.6741 | 0.8576 | 0.7861 | [X:[1.6169], M:[0.8507, 0.6818, 1.1493, 0.3831, 0.8507, 0.724, 0.724], q:[0.4042, 0.7451], qb:[0.4464, 0.8718], phi:[0.3831]] | [X:[[4]], M:[[12], [-28], [-12], [-4], [12], [-18], [-18]], q:[[1], [-13]], qb:[[11], [17]], phi:[[-4]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_6$, $ M_7$, $ \phi_1^2$, $ M_1$, $ M_5$, $ \phi_1q_1^2$, $ q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_1$, $ M_2^2$, $ M_2M_6$, $ M_2M_7$, $ M_6^2$, $ M_6M_7$, $ M_7^2$, $ M_2\phi_1^2$, $ M_6\phi_1^2$, $ M_7\phi_1^2$, $ M_1M_2$, $ M_2M_5$, $ \phi_1^4$, $ \phi_1q_1q_2$, $ M_1M_6$, $ M_5M_6$, $ M_1M_7$, $ M_5M_7$, $ \phi_1q_2\tilde{q}_1$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ X_1$, $ M_1^2$, $ M_1M_5$, $ M_5^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2\phi_1q_1^2$, $ \phi_1q_2^2$, $ M_6\phi_1q_1^2$, $ M_7\phi_1q_1^2$, $ M_6q_2\tilde{q}_1$, $ M_7q_2\tilde{q}_1$, $ \phi_1^3q_1^2$, $ M_6\phi_1q_1\tilde{q}_1$, $ M_7\phi_1q_1\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$ | $\phi_1^3q_1\tilde{q}_1$ | -2 | t^2.05 + 2*t^2.17 + t^2.3 + 2*t^2.55 + 2*t^3.57 + t^3.7 + t^4.09 + 2*t^4.22 + 4*t^4.34 + 2*t^4.47 + 3*t^4.6 + 4*t^4.72 + 3*t^4.85 + 3*t^5.1 + 2*t^5.62 + 4*t^5.75 + 2*t^5.87 - 2*t^6. + 2*t^6.13 + t^6.14 + t^6.25 + 2*t^6.26 + 4*t^6.39 + 6*t^6.52 + 6*t^6.64 + 6*t^6.77 + 9*t^6.9 + 4*t^7.02 + 6*t^7.15 + 4*t^7.28 + 2*t^7.4 - 2*t^7.53 + 3*t^7.66 + 2*t^7.67 + 4*t^7.79 + 6*t^7.92 - 2*t^8.17 + t^8.18 + t^8.3 + 2*t^8.31 + 4*t^8.43 - 6*t^8.55 + 6*t^8.56 + 11*t^8.69 + 10*t^8.81 + 12*t^8.94 - t^4.15/y - t^6.19/y - (2*t^6.32)/y - t^6.45/y - t^6.7/y + (2*t^7.22)/y + (2*t^7.34)/y + (2*t^7.47)/y + (3*t^7.6)/y + (4*t^7.72)/y + (3*t^7.85)/y + (2*t^7.98)/y + (2*t^8.1)/y - t^8.24/y - (2*t^8.37)/y - (4*t^8.49)/y + (3*t^8.75)/y + (2*t^8.87)/y - t^4.15*y - t^6.19*y - 2*t^6.32*y - t^6.45*y - t^6.7*y + 2*t^7.22*y + 2*t^7.34*y + 2*t^7.47*y + 3*t^7.6*y + 4*t^7.72*y + 3*t^7.85*y + 2*t^7.98*y + 2*t^8.1*y - t^8.24*y - 2*t^8.37*y - 4*t^8.49*y + 3*t^8.75*y + 2*t^8.87*y | t^2.05/g1^28 + (2*t^2.17)/g1^18 + t^2.3/g1^8 + 2*g1^12*t^2.55 + (2*t^3.57)/g1^2 + g1^8*t^3.7 + t^4.09/g1^56 + (2*t^4.22)/g1^46 + (4*t^4.34)/g1^36 + (2*t^4.47)/g1^26 + (3*t^4.6)/g1^16 + (4*t^4.72)/g1^6 + 3*g1^4*t^4.85 + 3*g1^24*t^5.1 + (2*t^5.62)/g1^30 + (4*t^5.75)/g1^20 + (2*t^5.87)/g1^10 - 2*t^6. + 2*g1^10*t^6.13 + t^6.14/g1^84 + g1^20*t^6.25 + (2*t^6.26)/g1^74 + (4*t^6.39)/g1^64 + (6*t^6.52)/g1^54 + (6*t^6.64)/g1^44 + (6*t^6.77)/g1^34 + (9*t^6.9)/g1^24 + (4*t^7.02)/g1^14 + (6*t^7.15)/g1^4 + 4*g1^6*t^7.28 + 2*g1^16*t^7.4 - 2*g1^26*t^7.53 + 3*g1^36*t^7.66 + (2*t^7.67)/g1^58 + (4*t^7.79)/g1^48 + (6*t^7.92)/g1^38 - (2*t^8.17)/g1^18 + t^8.18/g1^112 + t^8.3/g1^8 + (2*t^8.31)/g1^102 + (4*t^8.43)/g1^92 - 6*g1^12*t^8.55 + (6*t^8.56)/g1^82 + (11*t^8.69)/g1^72 + (10*t^8.81)/g1^62 + (12*t^8.94)/g1^52 - t^4.15/(g1^4*y) - t^6.19/(g1^32*y) - (2*t^6.32)/(g1^22*y) - t^6.45/(g1^12*y) - (g1^8*t^6.7)/y + (2*t^7.22)/(g1^46*y) + (2*t^7.34)/(g1^36*y) + (2*t^7.47)/(g1^26*y) + (3*t^7.6)/(g1^16*y) + (4*t^7.72)/(g1^6*y) + (3*g1^4*t^7.85)/y + (2*g1^14*t^7.98)/y + (2*g1^24*t^8.1)/y - t^8.24/(g1^60*y) - (2*t^8.37)/(g1^50*y) - (4*t^8.49)/(g1^40*y) + (3*t^8.75)/(g1^20*y) + (2*t^8.87)/(g1^10*y) - (t^4.15*y)/g1^4 - (t^6.19*y)/g1^32 - (2*t^6.32*y)/g1^22 - (t^6.45*y)/g1^12 - g1^8*t^6.7*y + (2*t^7.22*y)/g1^46 + (2*t^7.34*y)/g1^36 + (2*t^7.47*y)/g1^26 + (3*t^7.6*y)/g1^16 + (4*t^7.72*y)/g1^6 + 3*g1^4*t^7.85*y + 2*g1^14*t^7.98*y + 2*g1^24*t^8.1*y - (t^8.24*y)/g1^60 - (2*t^8.37*y)/g1^50 - (4*t^8.49*y)/g1^40 + (3*t^8.75*y)/g1^20 + (2*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 |
|---|---|---|---|---|---|---|---|---|
| 5451 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_6q_1\tilde{q}_2$ + $ M_7q_1\tilde{q}_2$ + $ M_8\phi_1q_1\tilde{q}_1$ | 0.6925 | 0.8913 | 0.777 | [X:[1.618], M:[0.8541, 0.6738, 1.1459, 0.382, 0.8541, 0.7189, 0.7189, 0.7639], q:[0.4045, 0.7414], qb:[0.4496, 0.8766], phi:[0.382]] | t^2.02 + 2*t^2.16 + 2*t^2.29 + 2*t^2.56 + 2*t^3.57 + t^4.04 + 2*t^4.18 + 5*t^4.31 + 4*t^4.45 + 5*t^4.58 + 4*t^4.72 + 5*t^4.85 + 3*t^5.12 + 2*t^5.59 + 3*t^5.73 + 2*t^5.86 - 3*t^6. - t^4.15/y - t^4.15*y | detail | |
| 5450 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_6q_1\tilde{q}_2$ + $ M_7q_1\tilde{q}_2$ + $ M_8\phi_1^2$ | 0.6559 | 0.8243 | 0.7957 | [X:[1.6157], M:[0.8471, 0.6901, 1.1529, 0.3843, 0.8471, 0.7294, 0.7294, 1.2314], q:[0.4039, 0.749], qb:[0.4432, 0.8667], phi:[0.3843]] | t^2.07 + 2*t^2.19 + 2*t^2.54 + 2*t^3.58 + 2*t^3.69 + t^4.14 + 2*t^4.26 + 3*t^4.38 + 2*t^4.61 + 4*t^4.73 + t^4.85 + 3*t^5.08 + 2*t^5.65 + 5*t^5.76 + 2*t^5.88 - 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 |
|---|---|---|---|---|---|---|---|---|---|
| 3381 | 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$ + $ M_3M_5$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_6q_1\tilde{q}_2$ | 0.6543 | 0.8201 | 0.7978 | [X:[1.615], M:[0.8451, 0.6947, 1.1549, 0.385, 0.8451, 0.7323], q:[0.4038, 0.7511], qb:[0.4414, 0.8639], phi:[0.385]] | t^2.08 + t^2.2 + t^2.31 + 2*t^2.54 + 2*t^3.58 + t^3.69 + t^3.8 + t^4.17 + t^4.28 + 2*t^4.39 + t^4.51 + 3*t^4.62 + 2*t^4.73 + 3*t^4.85 + 3*t^5.07 + 2*t^5.66 + 2*t^5.77 + 2*t^5.89 - t^6. - t^4.15/y - t^4.15*y | detail |