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 |
|---|---|---|---|---|---|---|---|---|---|
| 47064 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_1\phi_1^2$ + $ M_3\phi_1q_2^2$ + $ M_1M_4$ + $ M_3M_5$ | 0.6079 | 0.7838 | 0.7756 | [X:[], M:[0.9536, 0.8018, 0.8607, 1.0464, 1.1393], q:[0.7384, 0.308], qb:[0.4598, 0.4009], phi:[0.5232]] | [X:[], M:[[-4], [26], [-12], [4], [12]], q:[[-1], [5]], qb:[[-25], [13]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ M_2$, $ \tilde{q}_1\tilde{q}_2$, $ M_4$, $ \phi_1^2$, $ M_5$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ \phi_1\tilde{q}_1^2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_2q_2\tilde{q}_2$, $ q_2^2\tilde{q}_1^2$, $ \phi_1q_1q_2$, $ M_2q_2\tilde{q}_1$, $ q_2\tilde{q}_1\tilde{q}_2^2$, $ M_2^2$, $ q_2\tilde{q}_1^2\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_4q_2\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_4q_2\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ M_2M_4$, $ M_2\phi_1^2$, $ M_5q_2\tilde{q}_2$, $ \phi_1q_2^3\tilde{q}_2$, $ M_5q_2\tilde{q}_1$, $ \phi_1q_2^3\tilde{q}_1$, $ M_4\tilde{q}_1\tilde{q}_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_2M_5$, $ M_2\phi_1q_2^2$, $ \phi_1q_2^2\tilde{q}_2^2$ | $M_5\tilde{q}_1\tilde{q}_2$, $ 2\phi_1q_2^2\tilde{q}_1\tilde{q}_2$ | 0 | t^2.13 + t^2.3 + t^2.41 + t^2.58 + 2*t^3.14 + 2*t^3.42 + t^3.7 + t^3.87 + t^3.98 + t^4.15 + t^4.25 + t^4.33 + t^4.43 + t^4.53 + t^4.61 + 2*t^4.71 + t^4.81 + t^4.89 + t^4.99 + t^5.16 + 2*t^5.27 + 2*t^5.44 + 3*t^5.54 + 2*t^5.72 + 2*t^5.82 + 2*t^6.1 + 3*t^6.28 + 2*t^6.38 + t^6.46 + 5*t^6.56 + t^6.63 + t^6.66 + t^6.73 + 4*t^6.84 + 2*t^6.91 + t^6.94 + t^7.01 + 4*t^7.11 + t^7.22 + 2*t^7.29 + 4*t^7.39 + 2*t^7.47 + t^7.57 + 4*t^7.67 + 3*t^7.75 + 2*t^7.85 + 4*t^7.95 + t^8.02 + t^8.13 + t^8.2 + 3*t^8.23 + t^8.41 + t^8.48 + 3*t^8.51 + t^8.66 + 5*t^8.68 + 2*t^8.79 + t^8.86 + t^8.94 + 5*t^8.96 - t^4.57/y - t^6.98/y + (2*t^7.43)/y + t^7.53/y + t^7.71/y + t^7.89/y + t^7.99/y + t^8.16/y + (2*t^8.27)/y + (2*t^8.44)/y + (4*t^8.54)/y + (4*t^8.72)/y + (3*t^8.82)/y - t^4.57*y - t^6.98*y + 2*t^7.43*y + t^7.53*y + t^7.71*y + t^7.89*y + t^7.99*y + t^8.16*y + 2*t^8.27*y + 2*t^8.44*y + 4*t^8.54*y + 4*t^8.72*y + 3*t^8.82*y | g1^18*t^2.13 + t^2.3/g1^20 + g1^26*t^2.41 + t^2.58/g1^12 + 2*g1^4*t^3.14 + 2*g1^12*t^3.42 + g1^20*t^3.7 + t^3.87/g1^18 + g1^28*t^3.98 + t^4.15/g1^10 + g1^36*t^4.25 + t^4.33/g1^48 + t^4.43/g1^2 + g1^44*t^4.53 + t^4.61/g1^40 + 2*g1^6*t^4.71 + g1^52*t^4.81 + t^4.89/g1^32 + g1^14*t^4.99 + t^5.16/g1^24 + 2*g1^22*t^5.27 + (2*t^5.44)/g1^16 + 3*g1^30*t^5.54 + (2*t^5.72)/g1^8 + 2*g1^38*t^5.82 + 2*g1^46*t^6.1 + 3*g1^8*t^6.28 + 2*g1^54*t^6.38 + t^6.46/g1^30 + 5*g1^16*t^6.56 + t^6.63/g1^68 + g1^62*t^6.66 + t^6.73/g1^22 + 4*g1^24*t^6.84 + (2*t^6.91)/g1^60 + g1^70*t^6.94 + t^7.01/g1^14 + 4*g1^32*t^7.11 + g1^78*t^7.22 + (2*t^7.29)/g1^6 + 4*g1^40*t^7.39 + (2*t^7.47)/g1^44 + g1^2*t^7.57 + 4*g1^48*t^7.67 + (3*t^7.75)/g1^36 + 2*g1^10*t^7.85 + 4*g1^56*t^7.95 + t^8.02/g1^28 + g1^18*t^8.13 + t^8.2/g1^66 + 3*g1^64*t^8.23 + g1^26*t^8.41 + t^8.48/g1^58 + 3*g1^72*t^8.51 + t^8.66/g1^96 + 5*g1^34*t^8.68 + 2*g1^80*t^8.79 + t^8.86/g1^4 + t^8.94/g1^88 + 5*g1^42*t^8.96 - (g1^2*t^4.57)/y - (g1^28*t^6.98)/y + (2*t^7.43)/(g1^2*y) + (g1^44*t^7.53)/y + (g1^6*t^7.71)/y + t^7.89/(g1^32*y) + (g1^14*t^7.99)/y + t^8.16/(g1^24*y) + (2*g1^22*t^8.27)/y + (2*t^8.44)/(g1^16*y) + (4*g1^30*t^8.54)/y + (4*t^8.72)/(g1^8*y) + (3*g1^38*t^8.82)/y - g1^2*t^4.57*y - g1^28*t^6.98*y + (2*t^7.43*y)/g1^2 + g1^44*t^7.53*y + g1^6*t^7.71*y + (t^7.89*y)/g1^32 + g1^14*t^7.99*y + (t^8.16*y)/g1^24 + 2*g1^22*t^8.27*y + (2*t^8.44*y)/g1^16 + 4*g1^30*t^8.54*y + (4*t^8.72*y)/g1^8 + 3*g1^38*t^8.82*y |
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 |
|---|---|---|---|---|---|---|---|---|
| 55068 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_1\phi_1^2$ + $ M_3\phi_1q_2^2$ + $ M_1M_4$ + $ M_3M_5$ + $ M_6\phi_1q_2\tilde{q}_2$ | 0.6264 | 0.8169 | 0.7668 | [X:[], M:[0.9516, 0.8147, 0.8547, 1.0484, 1.1453, 0.7579], q:[0.7379, 0.3105], qb:[0.4474, 0.4074], phi:[0.5242]] | t^2.15 + 2*t^2.27 + t^2.44 + t^2.56 + 2*t^3.15 + 2*t^3.44 + t^3.85 + t^4.02 + t^4.14 + t^4.26 + t^4.31 + 2*t^4.43 + 3*t^4.55 + t^4.6 + 3*t^4.72 + 2*t^4.84 + t^4.89 + t^5.01 + t^5.13 + 2*t^5.3 + 4*t^5.42 + 3*t^5.59 + 4*t^5.71 + t^5.88 - t^6. - t^4.57/y - t^4.57*y | detail | |
| 55422 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_1\phi_1^2$ + $ M_3\phi_1q_2^2$ + $ M_1M_4$ + $ M_3M_5$ + $ M_6\phi_1\tilde{q}_2^2$ | 0.6287 | 0.825 | 0.7621 | [X:[], M:[0.9533, 0.8033, 0.86, 1.0467, 1.14, 0.6733], q:[0.7383, 0.3083], qb:[0.4583, 0.4017], phi:[0.5233]] | t^2.02 + t^2.13 + t^2.3 + t^2.41 + t^2.58 + 2*t^3.14 + 2*t^3.42 + t^3.7 + t^3.87 + t^4.04 + 2*t^4.15 + t^4.26 + 2*t^4.32 + 2*t^4.43 + t^4.54 + 2*t^4.6 + 2*t^4.71 + t^4.82 + t^4.88 + t^4.99 + 3*t^5.16 + 2*t^5.27 + 4*t^5.44 + 3*t^5.55 + 3*t^5.72 + 2*t^5.83 + t^5.89 - t^4.57/y - t^4.57*y | detail | |
| 55331 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_1\phi_1^2$ + $ M_3\phi_1q_2^2$ + $ M_1M_4$ + $ M_3M_5$ + $ M_6\tilde{q}_1\tilde{q}_2$ | 0.5958 | 0.764 | 0.7799 | [X:[], M:[0.9557, 0.7879, 0.8671, 1.0443, 1.1329, 1.1329], q:[0.7389, 0.3054], qb:[0.4732, 0.394], phi:[0.5221]] | t^2.1 + t^2.34 + t^2.36 + 2*t^3.13 + 3*t^3.4 + t^3.66 + t^3.9 + t^3.93 + t^4.17 + t^4.2 + t^4.41 + t^4.43 + t^4.46 + t^4.67 + t^4.7 + t^4.73 + 2*t^5.23 + 2*t^5.47 + 4*t^5.5 + t^5.73 + 3*t^5.76 - 2*t^6. - t^4.57/y - t^4.57*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46484 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_1\phi_1^2$ + $ M_3\phi_1q_2^2$ + $ M_1M_4$ | 0.6204 | 0.8049 | 0.7708 | [X:[], M:[0.9515, 0.8151, 0.8546, 1.0485], q:[0.7379, 0.3106], qb:[0.447, 0.4076], phi:[0.5242]] | t^2.15 + t^2.27 + t^2.45 + 2*t^2.56 + 2*t^3.15 + t^3.44 + t^3.73 + t^3.85 + t^4.02 + t^4.14 + t^4.25 + t^4.31 + t^4.43 + t^4.55 + t^4.6 + 3*t^4.72 + 2*t^4.84 + t^4.89 + 2*t^5.01 + 3*t^5.13 + 2*t^5.3 + 2*t^5.42 + 2*t^5.59 + 3*t^5.71 + t^5.88 - t^4.57/y - t^4.57*y | detail |