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 |
|---|---|---|---|---|---|---|---|---|---|
| 4422 | 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_3M_5$ + $ M_7q_1\tilde{q}_2$ + $ \phi_1q_2^2$ + $ M_8\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6666 | 0.8467 | 0.7873 | [X:[], M:[0.7168, 1.0411, 1.2009, 1.1187, 0.7991, 0.8813, 1.0364, 0.7215], q:[0.5229, 0.7603], qb:[0.3584, 0.4407], phi:[0.4794]] | [X:[], M:[[-34], [12], [10], [-14], [-10], [14], [-38], [16]], q:[[31], [3]], qb:[[-17], [7]], phi:[[-6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ M_8$, $ M_5$, $ M_6$, $ M_7$, $ M_2$, $ M_4$, $ \phi_1\tilde{q}_1^2$, $ M_3$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ M_1^2$, $ M_1M_8$, $ M_8^2$, $ \phi_1q_1\tilde{q}_2$, $ M_1M_5$, $ M_5M_8$, $ \phi_1q_1^2$, $ M_5^2$, $ M_1M_6$, $ \phi_1q_2\tilde{q}_1$, $ M_6M_8$, $ M_5M_6$, $ \phi_1q_2\tilde{q}_2$, $ M_1M_7$, $ M_1M_2$, $ M_7M_8$, $ M_6^2$, $ M_2M_8$, $ \phi_1q_1q_2$, $ M_1M_4$, $ M_5M_7$, $ M_2M_5$, $ M_4M_8$, $ M_1\phi_1\tilde{q}_1^2$, $ M_1M_3$, $ M_4M_5$, $ M_6M_7$, $ M_8\phi_1\tilde{q}_1^2$, $ M_2M_6$, $ M_3M_8$, $ M_5\phi_1\tilde{q}_1^2$ | . | -1 | t^2.15 + t^2.16 + t^2.4 + t^2.64 + t^3.11 + t^3.12 + t^3.36 + t^3.59 + t^3.6 + 2*t^4.08 + t^4.3 + t^4.31 + 2*t^4.33 + t^4.55 + t^4.56 + t^4.58 + 2*t^4.79 + t^4.81 + t^5.04 + t^5.26 + 2*t^5.27 + 2*t^5.29 + t^5.51 + 2*t^5.52 + t^5.74 + 2*t^5.75 + 2*t^5.77 + t^5.99 - t^6. + t^6.22 + 3*t^6.23 + t^6.25 + t^6.45 + 2*t^6.47 + 3*t^6.48 + t^6.49 + 2*t^6.7 + 2*t^6.71 + 4*t^6.73 + t^6.74 + 2*t^6.94 + t^6.96 + 2*t^6.97 + t^7.18 + 2*t^7.19 + t^7.21 + t^7.22 + t^7.41 + 2*t^7.42 + 3*t^7.44 + 2*t^7.45 + t^7.66 + 3*t^7.67 + 3*t^7.69 + t^7.89 + 2*t^7.9 + 3*t^7.92 + 2*t^7.93 + t^8.14 - t^8.15 + t^8.16 + t^8.37 + 5*t^8.38 + 2*t^8.41 + t^8.6 + 2*t^8.62 + 4*t^8.63 - t^8.64 + 3*t^8.66 + 2*t^8.85 + 3*t^8.86 + 5*t^8.88 + 2*t^8.89 + 2*t^8.91 - t^4.44/y - t^6.59/y - t^6.6/y + t^7.31/y + t^7.33/y + t^7.56/y + t^7.79/y + t^7.81/y + t^8.04/y + t^8.26/y + (3*t^8.27)/y + (2*t^8.29)/y + (2*t^8.51)/y + (2*t^8.52)/y + (3*t^8.75)/y + t^8.77/y + t^8.99/y - t^4.44*y - t^6.59*y - t^6.6*y + t^7.31*y + t^7.33*y + t^7.56*y + t^7.79*y + t^7.81*y + t^8.04*y + t^8.26*y + 3*t^8.27*y + 2*t^8.29*y + 2*t^8.51*y + 2*t^8.52*y + 3*t^8.75*y + t^8.77*y + t^8.99*y | t^2.15/g1^34 + g1^16*t^2.16 + t^2.4/g1^10 + g1^14*t^2.64 + t^3.11/g1^38 + g1^12*t^3.12 + t^3.36/g1^14 + t^3.59/g1^40 + g1^10*t^3.6 + 2*g1^8*t^4.08 + t^4.3/g1^68 + t^4.31/g1^18 + 2*g1^32*t^4.33 + t^4.55/g1^44 + g1^6*t^4.56 + g1^56*t^4.58 + (2*t^4.79)/g1^20 + g1^30*t^4.81 + g1^4*t^5.04 + t^5.26/g1^72 + (2*t^5.27)/g1^22 + 2*g1^28*t^5.29 + t^5.51/g1^48 + 2*g1^2*t^5.52 + t^5.74/g1^74 + (2*t^5.75)/g1^24 + 2*g1^26*t^5.77 + t^5.99/g1^50 - t^6. + t^6.22/g1^76 + (3*t^6.23)/g1^26 + g1^24*t^6.25 + t^6.45/g1^102 + (2*t^6.47)/g1^52 + (3*t^6.48)/g1^2 + g1^48*t^6.49 + (2*t^6.7)/g1^78 + (2*t^6.71)/g1^28 + 4*g1^22*t^6.73 + g1^72*t^6.74 + (2*t^6.94)/g1^54 + t^6.96/g1^4 + 2*g1^46*t^6.97 + t^7.18/g1^80 + (2*t^7.19)/g1^30 + g1^20*t^7.21 + g1^70*t^7.22 + t^7.41/g1^106 + (2*t^7.42)/g1^56 + (3*t^7.44)/g1^6 + 2*g1^44*t^7.45 + t^7.66/g1^82 + (3*t^7.67)/g1^32 + 3*g1^18*t^7.69 + t^7.89/g1^108 + (2*t^7.9)/g1^58 + (3*t^7.92)/g1^8 + 2*g1^42*t^7.93 + t^8.14/g1^84 - t^8.15/g1^34 + g1^16*t^8.16 + t^8.37/g1^110 + (5*t^8.38)/g1^60 + 2*g1^40*t^8.41 + t^8.6/g1^136 + (2*t^8.62)/g1^86 + (4*t^8.63)/g1^36 - g1^14*t^8.64 + 3*g1^64*t^8.66 + (2*t^8.85)/g1^112 + (3*t^8.86)/g1^62 + (5*t^8.88)/g1^12 + 2*g1^38*t^8.89 + 2*g1^88*t^8.91 - t^4.44/(g1^6*y) - t^6.59/(g1^40*y) - (g1^10*t^6.6)/y + t^7.31/(g1^18*y) + (g1^32*t^7.33)/y + (g1^6*t^7.56)/y + t^7.79/(g1^20*y) + (g1^30*t^7.81)/y + (g1^4*t^8.04)/y + t^8.26/(g1^72*y) + (3*t^8.27)/(g1^22*y) + (2*g1^28*t^8.29)/y + (2*t^8.51)/(g1^48*y) + (2*g1^2*t^8.52)/y + (3*t^8.75)/(g1^24*y) + (g1^26*t^8.77)/y + t^8.99/(g1^50*y) - (t^4.44*y)/g1^6 - (t^6.59*y)/g1^40 - g1^10*t^6.6*y + (t^7.31*y)/g1^18 + g1^32*t^7.33*y + g1^6*t^7.56*y + (t^7.79*y)/g1^20 + g1^30*t^7.81*y + g1^4*t^8.04*y + (t^8.26*y)/g1^72 + (3*t^8.27*y)/g1^22 + 2*g1^28*t^8.29*y + (2*t^8.51*y)/g1^48 + 2*g1^2*t^8.52*y + (3*t^8.75*y)/g1^24 + g1^26*t^8.77*y + (t^8.99*y)/g1^50 |
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 |
|---|---|---|---|---|---|---|---|---|
| 5925 | $M_1q_1q_2$ + $ 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_3M_5$ + $ M_7q_1\tilde{q}_2$ + $ \phi_1q_2^2$ + $ M_8\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_9\phi_1\tilde{q}_1^2$ | 0.6837 | 0.8772 | 0.7794 | [X:[], M:[0.7407, 1.0327, 1.1939, 1.1285, 0.8061, 0.8715, 1.0631, 0.7103, 0.7757], q:[0.5011, 0.7582], qb:[0.3703, 0.4357], phi:[0.4836]] | t^2.13 + t^2.22 + t^2.33 + t^2.42 + t^2.61 + t^3.1 + t^3.19 + t^3.39 + t^3.58 + 2*t^4.07 + 2*t^4.26 + t^4.35 + t^4.44 + 2*t^4.46 + 2*t^4.55 + t^4.64 + t^4.65 + 2*t^4.75 + 2*t^4.84 + t^4.94 + t^5.03 + 2*t^5.23 + 2*t^5.32 + t^5.41 + t^5.43 + 3*t^5.52 + t^5.61 + 3*t^5.71 + t^5.8 + t^5.91 - 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 |
|---|---|---|---|---|---|---|---|---|---|
| 2392 | 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_3M_5$ + $ M_7q_1\tilde{q}_2$ + $ \phi_1q_2^2$ | 0.6466 | 0.8096 | 0.7987 | [X:[], M:[0.7113, 1.0431, 1.2025, 1.1164, 0.7975, 0.8836, 1.0303], q:[0.5279, 0.7608], qb:[0.3557, 0.4418], phi:[0.4785]] | t^2.13 + t^2.39 + t^2.65 + t^3.09 + t^3.13 + t^3.35 + t^3.57 + t^3.61 + t^3.83 + 2*t^4.09 + t^4.27 + t^4.34 + t^4.53 + t^4.6 + 2*t^4.78 + t^5.04 + t^5.22 + t^5.26 + t^5.3 + t^5.48 + t^5.52 + t^5.7 + t^5.74 + t^5.78 + 2*t^5.96 - t^6. - t^4.44/y - t^4.44*y | detail |