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 |
|---|---|---|---|---|---|---|---|---|---|
| 47209 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ q_2^2\tilde{q}_1\tilde{q}_2$ + $ M_1X_1$ + $ M_2M_5$ | 0.5988 | 0.7618 | 0.7861 | [X:[1.3822], M:[0.6178, 0.6859, 1.0, 0.6963, 1.3141], q:[0.7696, 0.6126], qb:[0.5445, 0.2304], phi:[0.4607]] | [X:[[6]], M:[[-6], [16], [0], [-10], [-16]], q:[[-1], [7]], qb:[[-15], [1]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ \tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ \phi_1^2$, $ \phi_1\tilde{q}_2^2$, $ M_3$, $ q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_5$, $ X_1$, $ M_4^2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_4q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_4\phi_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_4\phi_1\tilde{q}_2^2$, $ q_2\tilde{q}_1\tilde{q}_2^2$, $ \phi_1q_2^2$, $ q_2^2\tilde{q}_2^2$, $ M_3M_4$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2^3$, $ \phi_1^2q_2\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2^3$, $ \phi_1q_1\tilde{q}_1$, $ M_3\tilde{q}_1\tilde{q}_2$, $ \phi_1^4$, $ \phi_1q_1q_2$, $ M_3q_2\tilde{q}_2$, $ \phi_1^3\tilde{q}_2^2$, $ \phi_1^2\tilde{q}_2^4$, $ M_4q_2\tilde{q}_1$, $ M_3\phi_1^2$, $ M_3\phi_1\tilde{q}_2^2$, $ M_4\phi_1\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1^2\tilde{q}_2$ | . | -2 | t^2.09 + t^2.32 + t^2.53 + 2*t^2.76 + t^3. + t^3.47 + t^3.71 + t^3.94 + t^4.15 + t^4.18 + t^4.41 + t^4.62 + 2*t^4.65 + 3*t^4.85 + t^5.06 + 3*t^5.09 + 2*t^5.29 + t^5.32 + 4*t^5.53 + t^5.56 + t^5.76 + t^5.8 - 2*t^6. + 2*t^6.03 - t^6.2 + 2*t^6.24 + 2*t^6.27 - t^6.44 + 3*t^6.47 + t^6.5 + 2*t^6.71 + 2*t^6.74 + 3*t^6.94 + 2*t^6.97 + 4*t^7.18 + 6*t^7.41 + 4*t^7.62 + 3*t^7.65 + t^7.82 + 4*t^7.85 + t^7.88 + 3*t^8.06 - t^8.09 + 3*t^8.12 + 4*t^8.29 - t^8.32 + 4*t^8.36 - 3*t^8.53 + t^8.56 + 3*t^8.59 - 7*t^8.76 + 5*t^8.8 + 2*t^8.83 - 2*t^8.97 - t^4.38/y - t^6.47/y - t^7.15/y + t^7.41/y + (2*t^7.62)/y + (3*t^7.85)/y + (3*t^8.09)/y + (3*t^8.29)/y + t^8.32/y + (2*t^8.53)/y + (2*t^8.76)/y + (2*t^8.8)/y - t^4.38*y - t^6.47*y - t^7.15*y + t^7.41*y + 2*t^7.62*y + 3*t^7.85*y + 3*t^8.09*y + 3*t^8.29*y + t^8.32*y + 2*t^8.53*y + 2*t^8.76*y + 2*t^8.8*y | t^2.09/g1^10 + t^2.32/g1^14 + g1^8*t^2.53 + 2*g1^4*t^2.76 + t^3. + t^3.47/g1^8 + t^3.71/g1^12 + t^3.94/g1^16 + g1^6*t^4.15 + t^4.18/g1^20 + t^4.41/g1^24 + t^4.62/g1^2 + (2*t^4.65)/g1^28 + (3*t^4.85)/g1^6 + g1^16*t^5.06 + (3*t^5.09)/g1^10 + 2*g1^12*t^5.29 + t^5.32/g1^14 + 4*g1^8*t^5.53 + t^5.56/g1^18 + g1^4*t^5.76 + t^5.8/g1^22 - 2*t^6. + (2*t^6.03)/g1^26 - g1^22*t^6.2 + (2*t^6.24)/g1^4 + (2*t^6.27)/g1^30 - g1^18*t^6.44 + (3*t^6.47)/g1^8 + t^6.5/g1^34 + (2*t^6.71)/g1^12 + (2*t^6.74)/g1^38 + (3*t^6.94)/g1^16 + (2*t^6.97)/g1^42 + (4*t^7.18)/g1^20 + (6*t^7.41)/g1^24 + (4*t^7.62)/g1^2 + (3*t^7.65)/g1^28 + g1^20*t^7.82 + (4*t^7.85)/g1^6 + t^7.88/g1^32 + 3*g1^16*t^8.06 - t^8.09/g1^10 + (3*t^8.12)/g1^36 + 4*g1^12*t^8.29 - t^8.32/g1^14 + (4*t^8.36)/g1^40 - 3*g1^8*t^8.53 + t^8.56/g1^18 + (3*t^8.59)/g1^44 - 7*g1^4*t^8.76 + (5*t^8.8)/g1^22 + (2*t^8.83)/g1^48 - 2*g1^26*t^8.97 - (g1^2*t^4.38)/y - t^6.47/(g1^8*y) - (g1^6*t^7.15)/y + t^7.41/(g1^24*y) + (2*t^7.62)/(g1^2*y) + (3*t^7.85)/(g1^6*y) + (3*t^8.09)/(g1^10*y) + (3*g1^12*t^8.29)/y + t^8.32/(g1^14*y) + (2*g1^8*t^8.53)/y + (2*g1^4*t^8.76)/y + (2*t^8.8)/(g1^22*y) - g1^2*t^4.38*y - (t^6.47*y)/g1^8 - g1^6*t^7.15*y + (t^7.41*y)/g1^24 + (2*t^7.62*y)/g1^2 + (3*t^7.85*y)/g1^6 + (3*t^8.09*y)/g1^10 + 3*g1^12*t^8.29*y + (t^8.32*y)/g1^14 + 2*g1^8*t^8.53*y + 2*g1^4*t^8.76*y + (2*t^8.8*y)/g1^22 |
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 |
|---|---|---|---|---|---|---|---|---|
| 55453 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ q_2^2\tilde{q}_1\tilde{q}_2$ + $ M_1X_1$ + $ M_2M_5$ + $ M_6\phi_1^2$ | 0.5917 | 0.7509 | 0.788 | [X:[1.3867], M:[0.6133, 0.6977, 1.0, 0.6889, 1.3023, 1.0756], q:[0.7689, 0.6178], qb:[0.5334, 0.2311], phi:[0.4622]] | t^2.07 + t^2.29 + t^2.55 + t^2.77 + t^3. + t^3.23 + t^3.45 + t^3.68 + t^3.91 + t^4.13 + t^4.16 + t^4.36 + 2*t^4.59 + t^4.61 + 2*t^4.84 + 2*t^5.07 + t^5.09 + 2*t^5.29 + t^5.32 + 2*t^5.52 + 2*t^5.55 + t^5.75 + t^5.77 + 2*t^5.97 - t^6. - t^4.39/y - t^4.39*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46729 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ q_2^2\tilde{q}_1\tilde{q}_2$ + $ M_1X_1$ | 0.6196 | 0.8021 | 0.7724 | [X:[1.3806], M:[0.6194, 0.6815, 1.0, 0.6991], q:[0.7699, 0.6106], qb:[0.5486, 0.2301], phi:[0.4602]] | t^2.04 + t^2.1 + t^2.34 + t^2.52 + 2*t^2.76 + t^3. + t^3.48 + t^3.72 + t^4.09 + 2*t^4.14 + t^4.19 + t^4.38 + t^4.43 + t^4.57 + t^4.62 + 2*t^4.67 + 2*t^4.81 + 3*t^4.86 + 2*t^5.04 + 3*t^5.1 + 2*t^5.28 + t^5.34 + 5*t^5.52 + t^5.58 + 2*t^5.76 + t^5.81 - 2*t^6. - t^4.38/y - t^4.38*y | detail |