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 |
|---|---|---|---|---|---|---|---|---|---|
| 4382 | 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$ + $ M_1M_5$ + $ M_5M_7$ + $ \phi_1q_1^2$ + $ M_8q_1\tilde{q}_2$ | 0.6573 | 0.8271 | 0.7947 | [X:[], M:[0.8779, 1.0382, 1.0456, 0.8015, 1.1221, 1.1985, 0.8779, 0.725], q:[0.7596, 0.3625], qb:[0.439, 0.5154], phi:[0.4809]] | [X:[], M:[[14], [12], [-38], [-10], [-14], [10], [14], [-34]], q:[[3], [-17]], qb:[[7], [31]], phi:[[-6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_8$, $ M_4$, $ M_1$, $ M_7$, $ M_2$, $ M_3$, $ M_6$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_8^2$, $ \phi_1\tilde{q}_2^2$, $ M_4M_8$, $ M_4^2$, $ M_1M_8$, $ M_7M_8$, $ \phi_1q_1q_2$, $ M_1M_4$, $ M_4M_7$, $ \phi_1q_1\tilde{q}_1$, $ M_1^2$, $ M_1M_7$, $ M_7^2$, $ \phi_1q_1\tilde{q}_2$, $ M_2M_8$, $ M_3M_8$, $ M_2M_4$, $ M_1M_2$, $ M_2M_7$, $ M_1M_3$, $ M_3M_7$, $ M_6M_8$, $ M_8\phi_1q_2^2$ | . | -2 | t^2.18 + t^2.4 + 2*t^2.63 + t^3.11 + t^3.14 + t^3.6 + t^3.62 + t^3.85 + 2*t^4.08 + t^4.31 + t^4.35 + t^4.54 + t^4.58 + 3*t^4.81 + 2*t^5.04 + 3*t^5.27 + t^5.29 + t^5.31 + t^5.52 + 2*t^5.75 + t^5.77 + t^5.79 - 2*t^6. + 2*t^6.02 + 5*t^6.25 + t^6.27 - t^6.46 + 3*t^6.48 + t^6.53 + 5*t^6.71 + 2*t^6.75 + 2*t^6.94 - t^6.96 + 3*t^6.98 + 2*t^7.17 + 3*t^7.21 + t^7.24 + 3*t^7.44 + 2*t^7.46 + t^7.49 + 2*t^7.67 + 3*t^7.69 + 2*t^7.9 + 4*t^7.92 + t^7.95 + t^7.97 + 4*t^8.15 - 4*t^8.18 + 2*t^8.2 + 4*t^8.38 - 3*t^8.4 + 6*t^8.43 + t^8.45 + 2*t^8.61 - 7*t^8.63 + 5*t^8.66 + t^8.7 + t^8.84 - 2*t^8.86 + 8*t^8.89 + t^8.91 + 2*t^8.93 - t^4.44/y - t^6.62/y - t^7.08/y + t^7.31/y + (3*t^7.81)/y + (2*t^8.04)/y + (2*t^8.27)/y + t^8.29/y + t^8.31/y + t^8.52/y + t^8.54/y + (2*t^8.75)/y + (3*t^8.77)/y - t^4.44*y - t^6.62*y - t^7.08*y + t^7.31*y + 3*t^7.81*y + 2*t^8.04*y + 2*t^8.27*y + t^8.29*y + t^8.31*y + t^8.52*y + t^8.54*y + 2*t^8.75*y + 3*t^8.77*y | t^2.18/g1^34 + t^2.4/g1^10 + 2*g1^14*t^2.63 + g1^12*t^3.11 + t^3.14/g1^38 + g1^10*t^3.6 + t^3.62/g1^40 + t^3.85/g1^16 + 2*g1^8*t^4.08 + g1^32*t^4.31 + t^4.35/g1^68 + g1^56*t^4.54 + t^4.58/g1^44 + (3*t^4.81)/g1^20 + 2*g1^4*t^5.04 + 3*g1^28*t^5.27 + t^5.29/g1^22 + t^5.31/g1^72 + g1^2*t^5.52 + 2*g1^26*t^5.75 + t^5.77/g1^24 + t^5.79/g1^74 - 2*t^6. + (2*t^6.02)/g1^50 + (5*t^6.25)/g1^26 + t^6.27/g1^76 - g1^48*t^6.46 + (3*t^6.48)/g1^2 + t^6.53/g1^102 + 5*g1^22*t^6.71 + (2*t^6.75)/g1^78 + 2*g1^46*t^6.94 - t^6.96/g1^4 + (3*t^6.98)/g1^54 + 2*g1^70*t^7.17 + (3*t^7.21)/g1^30 + t^7.24/g1^80 + (3*t^7.44)/g1^6 + (2*t^7.46)/g1^56 + t^7.49/g1^106 + 2*g1^18*t^7.67 + (3*t^7.69)/g1^32 + 2*g1^42*t^7.9 + (4*t^7.92)/g1^8 + t^7.95/g1^58 + t^7.97/g1^108 + 4*g1^16*t^8.15 - (4*t^8.18)/g1^34 + (2*t^8.2)/g1^84 + 4*g1^40*t^8.38 - (3*t^8.4)/g1^10 + (6*t^8.43)/g1^60 + t^8.45/g1^110 + 2*g1^64*t^8.61 - 7*g1^14*t^8.63 + (5*t^8.66)/g1^36 + t^8.7/g1^136 + g1^88*t^8.84 - 2*g1^38*t^8.86 + (8*t^8.89)/g1^12 + t^8.91/g1^62 + (2*t^8.93)/g1^112 - t^4.44/(g1^6*y) - t^6.62/(g1^40*y) - (g1^8*t^7.08)/y + (g1^32*t^7.31)/y + (3*t^7.81)/(g1^20*y) + (2*g1^4*t^8.04)/y + (2*g1^28*t^8.27)/y + t^8.29/(g1^22*y) + t^8.31/(g1^72*y) + (g1^2*t^8.52)/y + t^8.54/(g1^48*y) + (2*g1^26*t^8.75)/y + (3*t^8.77)/(g1^24*y) - (t^4.44*y)/g1^6 - (t^6.62*y)/g1^40 - g1^8*t^7.08*y + g1^32*t^7.31*y + (3*t^7.81*y)/g1^20 + 2*g1^4*t^8.04*y + 2*g1^28*t^8.27*y + (t^8.29*y)/g1^22 + (t^8.31*y)/g1^72 + g1^2*t^8.52*y + (t^8.54*y)/g1^48 + 2*g1^26*t^8.75*y + (3*t^8.77*y)/g1^24 |
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 |
|---|---|---|---|---|---|---|---|---|
| 5857 | $M_1q_1q_2$ + $ 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$ + $ M_1M_5$ + $ M_5M_7$ + $ \phi_1q_1^2$ + $ M_8q_1\tilde{q}_2$ + $ M_9\phi_1q_2\tilde{q}_1$ | 0.6775 | 0.865 | 0.7832 | [X:[], M:[0.8759, 1.0365, 1.0511, 0.8029, 1.1241, 1.1971, 0.8759, 0.7299, 0.7153], q:[0.7591, 0.365], qb:[0.438, 0.511], phi:[0.4817]] | t^2.15 + t^2.19 + t^2.41 + 2*t^2.63 + t^3.11 + t^3.15 + t^3.59 + t^3.63 + 2*t^4.07 + 2*t^4.29 + t^4.34 + t^4.38 + t^4.51 + t^4.55 + t^4.6 + 2*t^4.77 + 3*t^4.82 + 2*t^5.04 + 4*t^5.26 + 2*t^5.3 + t^5.34 + t^5.52 + 3*t^5.74 + 2*t^5.78 + t^5.82 - 2*t^6. - t^4.45/y - t^4.45*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2375 | 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$ + $ M_1M_5$ + $ M_5M_7$ + $ \phi_1q_1^2$ | 0.6376 | 0.7908 | 0.8063 | [X:[], M:[0.8717, 1.0329, 1.0624, 0.8059, 1.1283, 1.1941, 0.8717], q:[0.7582, 0.37], qb:[0.4359, 0.5017], phi:[0.4835]] | t^2.42 + 2*t^2.62 + t^3.1 + t^3.19 + t^3.58 + t^3.67 + t^3.78 + t^3.87 + 2*t^4.07 + t^4.26 + t^4.46 + t^4.84 + 2*t^5.03 + 3*t^5.23 + t^5.52 + 2*t^5.71 - 2*t^6. - t^4.45/y - t^4.45*y | detail |