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 |
|---|---|---|---|---|---|---|---|---|---|
| 4879 | 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_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1M_3$ + $ M_1M_6$ + $ M_7\phi_1q_2^2$ + $ \phi_1q_1\tilde{q}_2$ + $ M_5M_8$ | 0.6158 | 0.7942 | 0.7754 | [X:[], M:[1.0093, 0.6997, 0.9907, 0.7183, 1.2817, 0.9907, 0.8731, 0.7183], q:[0.6409, 0.3498], qb:[0.3684, 0.9319], phi:[0.4272]] | [X:[], M:[[14], [-22], [-14], [6], [-6], [-14], [24], [6]], q:[[-3], [-11]], qb:[[17], [5]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_4$, $ M_8$, $ \phi_1^2$, $ M_7$, $ M_3$, $ M_6$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_2^2$, $ M_2M_4$, $ M_2M_8$, $ \phi_1q_1q_2$, $ M_4^2$, $ M_4M_8$, $ M_8^2$, $ \phi_1q_1\tilde{q}_1$, $ M_2\phi_1^2$, $ M_2M_7$, $ M_4\phi_1^2$, $ M_8\phi_1^2$, $ q_1\tilde{q}_2$, $ M_4M_7$, $ M_7M_8$, $ M_2M_3$, $ M_2M_6$, $ M_3M_4$, $ M_4M_6$, $ M_3M_8$, $ M_6M_8$, $ \phi_1^4$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_7\phi_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_7^2$, $ M_3\phi_1^2$, $ M_6\phi_1^2$, $ M_3M_7$, $ M_6M_7$, $ M_4\phi_1q_2\tilde{q}_1$, $ M_8\phi_1q_2\tilde{q}_1$, $ M_4\phi_1\tilde{q}_1^2$, $ M_8\phi_1\tilde{q}_1^2$, $ M_3^2$, $ M_3M_6$, $ M_6^2$ | $\phi_1^3q_2\tilde{q}_1$ | -2 | t^2.1 + 2*t^2.15 + t^2.56 + t^2.62 + 2*t^2.97 + t^3.44 + t^3.49 + t^4.2 + 2*t^4.25 + 3*t^4.31 + t^4.66 + 4*t^4.72 + 2*t^4.77 + 2*t^5.07 + 5*t^5.13 + t^5.18 + t^5.24 + 2*t^5.54 + 4*t^5.59 + 2*t^5.65 + 2*t^5.94 - 2*t^6. + t^6.06 + t^6.11 + t^6.3 + 2*t^6.35 + 3*t^6.41 + 4*t^6.46 + t^6.76 + 2*t^6.82 + 4*t^6.87 + 3*t^6.93 + t^6.98 + 2*t^7.17 + 4*t^7.23 + 7*t^7.28 + 2*t^7.34 + 2*t^7.39 + 2*t^7.63 + 7*t^7.69 + 6*t^7.75 + 4*t^7.8 + t^7.86 + 2*t^8.04 + 2*t^8.1 - 4*t^8.15 + 4*t^8.21 + 2*t^8.27 + t^8.4 + 2*t^8.45 + 3*t^8.51 + 2*t^8.56 + 2*t^8.62 + t^8.67 + t^8.73 + t^8.86 + 4*t^8.92 - 5*t^8.97 - t^4.28/y - t^6.38/y - t^6.44/y - t^6.85/y - t^6.9/y + t^7.25/y + (2*t^7.31)/y + (2*t^7.66)/y + (4*t^7.72)/y + (2*t^7.77)/y + (2*t^8.07)/y + (5*t^8.13)/y + (2*t^8.18)/y - t^8.48/y + (2*t^8.54)/y + (4*t^8.59)/y + (2*t^8.65)/y - t^4.28*y - t^6.38*y - t^6.44*y - t^6.85*y - t^6.9*y + t^7.25*y + 2*t^7.31*y + 2*t^7.66*y + 4*t^7.72*y + 2*t^7.77*y + 2*t^8.07*y + 5*t^8.13*y + 2*t^8.18*y - t^8.48*y + 2*t^8.54*y + 4*t^8.59*y + 2*t^8.65*y | t^2.1/g1^22 + 2*g1^6*t^2.15 + t^2.56/g1^4 + g1^24*t^2.62 + (2*t^2.97)/g1^14 + g1^4*t^3.44 + g1^32*t^3.49 + t^4.2/g1^44 + (2*t^4.25)/g1^16 + 3*g1^12*t^4.31 + t^4.66/g1^26 + 4*g1^2*t^4.72 + 2*g1^30*t^4.77 + (2*t^5.07)/g1^36 + (5*t^5.13)/g1^8 + g1^20*t^5.18 + g1^48*t^5.24 + (2*t^5.54)/g1^18 + 4*g1^10*t^5.59 + 2*g1^38*t^5.65 + (2*t^5.94)/g1^28 - 2*t^6. + g1^28*t^6.06 + g1^56*t^6.11 + t^6.3/g1^66 + (2*t^6.35)/g1^38 + (3*t^6.41)/g1^10 + 4*g1^18*t^6.46 + t^6.76/g1^48 + (2*t^6.82)/g1^20 + 4*g1^8*t^6.87 + 3*g1^36*t^6.93 + g1^64*t^6.98 + (2*t^7.17)/g1^58 + (4*t^7.23)/g1^30 + (7*t^7.28)/g1^2 + 2*g1^26*t^7.34 + 2*g1^54*t^7.39 + (2*t^7.63)/g1^40 + (7*t^7.69)/g1^12 + 6*g1^16*t^7.75 + 4*g1^44*t^7.8 + g1^72*t^7.86 + (2*t^8.04)/g1^50 + (2*t^8.1)/g1^22 - 4*g1^6*t^8.15 + 4*g1^34*t^8.21 + 2*g1^62*t^8.27 + t^8.4/g1^88 + (2*t^8.45)/g1^60 + (3*t^8.51)/g1^32 + (2*t^8.56)/g1^4 + 2*g1^24*t^8.62 + g1^52*t^8.67 + g1^80*t^8.73 + t^8.86/g1^70 + (4*t^8.92)/g1^42 - (5*t^8.97)/g1^14 - t^4.28/(g1^2*y) - t^6.38/(g1^24*y) - (g1^4*t^6.44)/y - t^6.85/(g1^6*y) - (g1^22*t^6.9)/y + t^7.25/(g1^16*y) + (2*g1^12*t^7.31)/y + (2*t^7.66)/(g1^26*y) + (4*g1^2*t^7.72)/y + (2*g1^30*t^7.77)/y + (2*t^8.07)/(g1^36*y) + (5*t^8.13)/(g1^8*y) + (2*g1^20*t^8.18)/y - t^8.48/(g1^46*y) + (2*t^8.54)/(g1^18*y) + (4*g1^10*t^8.59)/y + (2*g1^38*t^8.65)/y - (t^4.28*y)/g1^2 - (t^6.38*y)/g1^24 - g1^4*t^6.44*y - (t^6.85*y)/g1^6 - g1^22*t^6.9*y + (t^7.25*y)/g1^16 + 2*g1^12*t^7.31*y + (2*t^7.66*y)/g1^26 + 4*g1^2*t^7.72*y + 2*g1^30*t^7.77*y + (2*t^8.07*y)/g1^36 + (5*t^8.13*y)/g1^8 + 2*g1^20*t^8.18*y - (t^8.48*y)/g1^46 + (2*t^8.54*y)/g1^18 + 4*g1^10*t^8.59*y + 2*g1^38*t^8.65*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 |
|---|---|---|---|---|---|---|---|---|
| 6489 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1M_3$ + $ M_1M_6$ + $ M_7\phi_1q_2^2$ + $ \phi_1q_1\tilde{q}_2$ + $ M_5M_8$ + $ M_9\phi_1q_2\tilde{q}_1$ | 0.6286 | 0.8161 | 0.7703 | [X:[], M:[1.0126, 0.6946, 0.9874, 0.7197, 1.2803, 0.9874, 0.8787, 0.7197, 0.8536], q:[0.6402, 0.3473], qb:[0.3724, 0.9331], phi:[0.4268]] | t^2.08 + 2*t^2.16 + 2*t^2.56 + t^2.64 + 2*t^2.96 + t^3.51 + t^4.17 + 2*t^4.24 + 3*t^4.32 + 2*t^4.64 + 6*t^4.72 + 2*t^4.8 + 2*t^5.05 + 7*t^5.12 + 2*t^5.2 + t^5.27 + 3*t^5.52 + 2*t^5.6 + 2*t^5.67 + 2*t^5.92 - 3*t^6. - t^4.28/y - t^4.28*y | detail | |
| 6490 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1M_3$ + $ M_1M_6$ + $ M_7\phi_1q_2^2$ + $ \phi_1q_1\tilde{q}_2$ + $ M_5M_8$ + $ M_9\phi_1\tilde{q}_1^2$ | 0.6316 | 0.8227 | 0.7677 | [X:[], M:[1.029, 0.6687, 0.971, 0.7267, 1.2733, 0.971, 0.9069, 0.7267, 0.7908], q:[0.6366, 0.3343], qb:[0.3924, 0.9389], phi:[0.4244]] | t^2.01 + 2*t^2.18 + t^2.37 + t^2.55 + t^2.72 + 2*t^2.91 + t^3.45 + t^4.01 + 2*t^4.19 + 3*t^4.36 + t^4.38 + 3*t^4.55 + 4*t^4.73 + t^4.74 + 2*t^4.9 + 3*t^4.92 + 6*t^5.09 + t^5.27 + 2*t^5.29 + t^5.44 + 2*t^5.46 + 3*t^5.63 + 3*t^5.83 - 2*t^6. - t^4.27/y - t^4.27*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2702 | 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_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1M_3$ + $ M_1M_6$ + $ M_7\phi_1q_2^2$ + $ \phi_1q_1\tilde{q}_2$ | 0.5957 | 0.7565 | 0.7874 | [X:[], M:[1.011, 0.6969, 0.989, 0.719, 1.281, 0.989, 0.8761], q:[0.6405, 0.3485], qb:[0.3706, 0.9325], phi:[0.427]] | t^2.09 + t^2.16 + t^2.56 + t^2.63 + 2*t^2.97 + t^3.44 + t^3.5 + t^3.84 + t^4.18 + t^4.25 + t^4.31 + t^4.65 + 3*t^4.72 + t^4.79 + 2*t^5.06 + 3*t^5.12 + t^5.19 + t^5.26 + 2*t^5.53 + 3*t^5.6 + t^5.66 + 3*t^5.93 - t^6. - t^4.28/y - t^4.28*y | detail |