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 |
|---|---|---|---|---|---|---|---|---|---|
| 4876 | 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_8\phi_1^2$ | 0.5829 | 0.7346 | 0.7935 | [X:[], M:[1.0077, 0.7021, 0.9923, 0.7176, 1.2824, 0.9923, 0.8704, 1.1451], q:[0.6412, 0.3511], qb:[0.3665, 0.9313], phi:[0.4275]] | [X:[], M:[[14], [-22], [-14], [6], [-6], [-14], [24], [4]], 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_7$, $ M_3$, $ M_6$, $ M_8$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_5$, $ M_2^2$, $ M_2M_4$, $ \phi_1q_1q_2$, $ M_4^2$, $ \phi_1q_1\tilde{q}_1$, $ M_2M_7$, $ q_1\tilde{q}_2$, $ M_4M_7$, $ M_2M_3$, $ M_2M_6$, $ M_3M_4$, $ M_4M_6$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_7^2$, $ M_2M_8$, $ M_3M_7$, $ M_6M_7$, $ M_4M_8$, $ M_4\phi_1q_2\tilde{q}_1$, $ M_4\phi_1\tilde{q}_1^2$, $ M_3^2$, $ M_2M_5$, $ M_3M_6$, $ M_6^2$ | . | -2 | t^2.11 + t^2.15 + t^2.61 + 2*t^2.98 + 2*t^3.44 + t^3.48 + t^3.85 + t^4.21 + t^4.26 + t^4.31 + 2*t^4.72 + t^4.76 + 2*t^5.08 + 2*t^5.13 + t^5.22 + t^5.54 + 4*t^5.59 + t^5.63 + 3*t^5.95 - 2*t^6. + t^6.05 + t^6.09 + t^6.32 + t^6.37 + 3*t^6.41 + 2*t^6.46 + 2*t^6.82 + t^6.87 + 2*t^6.92 + t^6.96 + 2*t^7.19 + t^7.24 + t^7.28 + t^7.33 + t^7.38 + t^7.65 + 4*t^7.69 + 2*t^7.74 + t^7.79 + t^7.83 + 3*t^8.06 - t^8.11 - 2*t^8.15 + 3*t^8.2 + t^8.25 + t^8.43 + t^8.47 + t^8.52 + 5*t^8.56 - 2*t^8.61 + t^8.66 + t^8.7 + 4*t^8.93 - 5*t^8.98 - t^4.28/y - t^6.39/y - t^6.89/y + t^7.31/y + t^7.67/y + t^7.72/y + t^7.76/y + (2*t^8.08)/y + (2*t^8.13)/y + t^8.18/y - t^8.5/y + (2*t^8.54)/y + (5*t^8.59)/y + t^8.63/y + (2*t^8.95)/y - t^4.28*y - t^6.39*y - t^6.89*y + t^7.31*y + t^7.67*y + t^7.72*y + t^7.76*y + 2*t^8.08*y + 2*t^8.13*y + t^8.18*y - t^8.5*y + 2*t^8.54*y + 5*t^8.59*y + t^8.63*y + 2*t^8.95*y | t^2.11/g1^22 + g1^6*t^2.15 + g1^24*t^2.61 + (2*t^2.98)/g1^14 + 2*g1^4*t^3.44 + g1^32*t^3.48 + t^3.85/g1^6 + t^4.21/g1^44 + t^4.26/g1^16 + g1^12*t^4.31 + 2*g1^2*t^4.72 + g1^30*t^4.76 + (2*t^5.08)/g1^36 + (2*t^5.13)/g1^8 + g1^48*t^5.22 + t^5.54/g1^18 + 4*g1^10*t^5.59 + g1^38*t^5.63 + (3*t^5.95)/g1^28 - 2*t^6. + g1^28*t^6.05 + g1^56*t^6.09 + t^6.32/g1^66 + t^6.37/g1^38 + (3*t^6.41)/g1^10 + 2*g1^18*t^6.46 + (2*t^6.82)/g1^20 + g1^8*t^6.87 + 2*g1^36*t^6.92 + g1^64*t^6.96 + (2*t^7.19)/g1^58 + t^7.24/g1^30 + t^7.28/g1^2 + g1^26*t^7.33 + g1^54*t^7.38 + t^7.65/g1^40 + (4*t^7.69)/g1^12 + 2*g1^16*t^7.74 + g1^44*t^7.79 + g1^72*t^7.83 + (3*t^8.06)/g1^50 - t^8.11/g1^22 - 2*g1^6*t^8.15 + 3*g1^34*t^8.2 + g1^62*t^8.25 + t^8.43/g1^88 + t^8.47/g1^60 + t^8.52/g1^32 + (5*t^8.56)/g1^4 - 2*g1^24*t^8.61 + g1^52*t^8.66 + g1^80*t^8.7 + (4*t^8.93)/g1^42 - (5*t^8.98)/g1^14 - t^4.28/(g1^2*y) - t^6.39/(g1^24*y) - (g1^22*t^6.89)/y + (g1^12*t^7.31)/y + t^7.67/(g1^26*y) + (g1^2*t^7.72)/y + (g1^30*t^7.76)/y + (2*t^8.08)/(g1^36*y) + (2*t^8.13)/(g1^8*y) + (g1^20*t^8.18)/y - t^8.5/(g1^46*y) + (2*t^8.54)/(g1^18*y) + (5*g1^10*t^8.59)/y + (g1^38*t^8.63)/y + (2*t^8.95)/(g1^28*y) - (t^4.28*y)/g1^2 - (t^6.39*y)/g1^24 - g1^22*t^6.89*y + g1^12*t^7.31*y + (t^7.67*y)/g1^26 + g1^2*t^7.72*y + g1^30*t^7.76*y + (2*t^8.08*y)/g1^36 + (2*t^8.13*y)/g1^8 + g1^20*t^8.18*y - (t^8.5*y)/g1^46 + (2*t^8.54*y)/g1^18 + 5*g1^10*t^8.59*y + g1^38*t^8.63*y + (2*t^8.95*y)/g1^28 |
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 |
|---|---|---|---|---|---|---|---|---|
| 6504 | $M_1q_1q_2$ + $ 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_8\phi_1^2$ + $ M_9\phi_1\tilde{q}_1^2$ | 0.5985 | 0.763 | 0.7844 | [X:[], M:[1.0281, 0.6702, 0.9719, 0.7263, 1.2737, 0.9719, 0.9052, 1.1509, 0.793], q:[0.6368, 0.3351], qb:[0.3912, 0.9386], phi:[0.4246]] | t^2.01 + t^2.18 + t^2.38 + t^2.72 + 2*t^2.92 + 2*t^3.45 + t^3.82 + t^4.02 + t^4.19 + t^4.36 + t^4.39 + t^4.56 + 2*t^4.73 + t^4.76 + t^4.89 + 2*t^4.93 + 3*t^5.09 + 2*t^5.29 + t^5.43 + t^5.46 + 3*t^5.63 + 5*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 |