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 |
|---|---|---|---|---|---|---|---|---|---|
| 4957 | 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_3^2$ + $ M_1M_4$ + $ M_4M_6$ + $ \phi_1q_2^2$ + $ M_7\phi_1q_1\tilde{q}_1$ + $ M_8q_1\tilde{q}_2$ + $ M_5X_1$ | 0.67 | 0.8344 | 0.803 | [X:[1.348], M:[0.826, 1.087, 1.0, 1.174, 0.652, 0.826, 0.7175, 1.0215], q:[0.4023, 0.7718], qb:[0.4237, 0.5763], phi:[0.4565]] | [X:[[16]], M:[[-8], [4], [0], [8], [-16], [-8], [10], [-22]], q:[[7], [1]], qb:[[-15], [15]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_7$, $ M_1$, $ M_6$, $ M_3$, $ M_8$, $ M_2$, $ q_2\tilde{q}_1$, $ \phi_1q_1^2$, $ \phi_1\tilde{q}_1^2$, $ X_1$, $ M_7^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1M_7$, $ M_6M_7$, $ \phi_1\tilde{q}_2^2$, $ M_1^2$, $ M_1M_6$, $ M_6^2$, $ \phi_1q_2\tilde{q}_1$, $ M_3M_7$, $ M_7M_8$, $ M_2M_7$, $ \phi_1q_2\tilde{q}_2$, $ M_1M_3$, $ M_3M_6$, $ M_1M_8$, $ M_6M_8$, $ M_1M_2$, $ M_2M_6$, $ M_7q_2\tilde{q}_1$ | . | -2 | t^2.15 + 2*t^2.48 + t^3. + t^3.06 + t^3.26 + t^3.59 + t^3.78 + t^3.91 + t^4.04 + 2*t^4.31 + t^4.37 + 2*t^4.63 + t^4.83 + 3*t^4.96 + t^5.15 + t^5.22 + t^5.41 + t^5.48 + t^5.54 + 3*t^5.74 - 2*t^6. + 3*t^6.06 + t^6.13 + t^6.2 + 2*t^6.26 + 2*t^6.39 + t^6.46 + 2*t^6.52 + t^6.65 + 3*t^6.78 + 2*t^6.85 + 2*t^6.98 + 2*t^7.11 + t^7.17 + 3*t^7.31 + t^7.37 + 3*t^7.43 + t^7.5 + 2*t^7.57 + 2*t^7.63 + t^7.69 + t^7.82 + 2*t^7.89 + 2*t^7.96 + t^8.02 + 2*t^8.09 - 3*t^8.15 + 5*t^8.22 + 2*t^8.28 + t^8.35 + t^8.41 - 5*t^8.48 + 4*t^8.54 + 3*t^8.61 + t^8.67 + 3*t^8.74 + 4*t^8.87 - t^4.37/y - t^6.52/y - t^6.85/y + t^7.31/y - t^7.43/y + (2*t^7.63)/y + t^7.89/y + t^7.96/y + t^8.15/y + (2*t^8.22)/y + t^8.41/y + (2*t^8.48)/y + (2*t^8.54)/y - t^8.67/y + (3*t^8.74)/y + t^8.94/y - t^4.37*y - t^6.52*y - t^6.85*y + t^7.31*y - t^7.43*y + 2*t^7.63*y + t^7.89*y + t^7.96*y + t^8.15*y + 2*t^8.22*y + t^8.41*y + 2*t^8.48*y + 2*t^8.54*y - t^8.67*y + 3*t^8.74*y + t^8.94*y | g1^10*t^2.15 + (2*t^2.48)/g1^8 + t^3. + t^3.06/g1^22 + g1^4*t^3.26 + t^3.59/g1^14 + g1^12*t^3.78 + t^3.91/g1^32 + g1^16*t^4.04 + 2*g1^20*t^4.31 + t^4.37/g1^2 + 2*g1^2*t^4.63 + g1^28*t^4.83 + (3*t^4.96)/g1^16 + g1^10*t^5.15 + t^5.22/g1^12 + g1^14*t^5.41 + t^5.48/g1^8 + t^5.54/g1^30 + (3*t^5.74)/g1^4 - 2*t^6. + (3*t^6.06)/g1^22 + t^6.13/g1^44 + g1^26*t^6.2 + 2*g1^4*t^6.26 + (2*t^6.39)/g1^40 + g1^30*t^6.46 + 2*g1^8*t^6.52 + t^6.65/g1^36 + 3*g1^12*t^6.78 + (2*t^6.85)/g1^10 + t^6.98/g1^54 + g1^38*t^6.98 + (2*t^7.11)/g1^6 + t^7.17/g1^28 + 3*g1^20*t^7.31 + t^7.37/g1^2 + (3*t^7.43)/g1^24 + t^7.5/g1^46 + 2*g1^24*t^7.57 + 2*g1^2*t^7.63 + t^7.69/g1^20 + t^7.82/g1^64 + 2*g1^6*t^7.89 + (2*t^7.96)/g1^16 + t^8.02/g1^38 + 2*g1^32*t^8.09 - 3*g1^10*t^8.15 + (5*t^8.22)/g1^12 + (2*t^8.28)/g1^34 + g1^36*t^8.35 + g1^14*t^8.41 - (5*t^8.48)/g1^8 + (4*t^8.54)/g1^30 + t^8.61/g1^52 + 2*g1^40*t^8.61 + g1^18*t^8.67 + (3*t^8.74)/g1^4 + (3*t^8.87)/g1^48 + g1^44*t^8.87 - t^4.37/(g1^2*y) - (g1^8*t^6.52)/y - t^6.85/(g1^10*y) + (g1^20*t^7.31)/y - t^7.43/(g1^24*y) + (2*g1^2*t^7.63)/y + (g1^6*t^7.89)/y + t^7.96/(g1^16*y) + (g1^10*t^8.15)/y + (2*t^8.22)/(g1^12*y) + (g1^14*t^8.41)/y + (2*t^8.48)/(g1^8*y) + (2*t^8.54)/(g1^30*y) - (g1^18*t^8.67)/y + (3*t^8.74)/(g1^4*y) + (g1^22*t^8.94)/y - (t^4.37*y)/g1^2 - g1^8*t^6.52*y - (t^6.85*y)/g1^10 + g1^20*t^7.31*y - (t^7.43*y)/g1^24 + 2*g1^2*t^7.63*y + g1^6*t^7.89*y + (t^7.96*y)/g1^16 + g1^10*t^8.15*y + (2*t^8.22*y)/g1^12 + g1^14*t^8.41*y + (2*t^8.48*y)/g1^8 + (2*t^8.54*y)/g1^30 - g1^18*t^8.67*y + (3*t^8.74*y)/g1^4 + g1^22*t^8.94*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 |
|---|---|---|---|---|---|---|---|---|
| 6546 | $M_1q_1q_2$ + $ 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_3^2$ + $ M_1M_4$ + $ M_4M_6$ + $ \phi_1q_2^2$ + $ M_7\phi_1q_1\tilde{q}_1$ + $ M_8q_1\tilde{q}_2$ + $ M_5X_1$ + $ M_9\phi_1\tilde{q}_1^2$ | 0.6907 | 0.8747 | 0.7897 | [X:[1.3424], M:[0.8288, 1.0856, 1.0, 1.1712, 0.6576, 0.8288, 0.714, 1.0291, 0.6849], q:[0.3998, 0.7714], qb:[0.429, 0.571], phi:[0.4572]] | t^2.05 + t^2.14 + 2*t^2.49 + t^3. + t^3.09 + t^3.26 + t^3.6 + t^3.77 + t^4.03 + t^4.11 + t^4.2 + 2*t^4.28 + t^4.37 + 2*t^4.54 + 2*t^4.63 + t^4.8 + 3*t^4.97 + t^5.05 + 2*t^5.14 + t^5.23 + t^5.31 + t^5.4 + t^5.49 + t^5.57 + t^5.66 + 3*t^5.74 + t^5.83 - 2*t^6. - t^4.37/y - t^4.37*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 |
|---|---|---|---|---|---|---|---|---|---|
| 3062 | 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_3^2$ + $ M_1M_4$ + $ M_4M_6$ + $ \phi_1q_2^2$ + $ M_7\phi_1q_1\tilde{q}_1$ | 0.695 | 0.8825 | 0.7875 | [X:[], M:[0.8422, 1.0789, 1.0, 1.1578, 0.6844, 0.8422, 0.6972], q:[0.3881, 0.7697], qb:[0.4541, 0.5459], phi:[0.4606]] | t^2.05 + t^2.09 + 2*t^2.53 + t^2.8 + t^3. + t^3.24 + t^3.67 + t^3.71 + 2*t^4.11 + t^4.14 + 2*t^4.18 + t^4.38 + 2*t^4.58 + 2*t^4.62 + t^4.66 + t^4.86 + t^4.89 + 4*t^5.05 + t^5.09 + t^5.29 + 3*t^5.33 + t^5.53 + t^5.6 + 4*t^5.76 + t^5.8 - 2*t^6. - t^4.38/y - t^4.38*y | detail |