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 |
|---|---|---|---|---|---|---|---|---|---|
| 4851 | 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$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1^2$ + $ M_7\phi_1q_2^2$ + $ M_3M_8$ + $ M_1M_7$ | 0.6525 | 0.8129 | 0.8027 | [X:[], M:[1.1666, 0.7, 0.9832, 0.8833, 1.1167, 1.0667, 0.8334, 1.0168], q:[0.4834, 0.35], qb:[0.5334, 0.7667], phi:[0.4666]] | [X:[], M:[[-10], [-6], [-17], [1], [-1], [8], [10], [17]], q:[[13], [-3]], qb:[[4], [2]], phi:[[-4]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_7$, $ M_4$, $ M_8$, $ M_6$, $ M_5$, $ M_1$, $ q_1\tilde{q}_2$, $ \phi_1q_1q_2$, $ \phi_1q_2\tilde{q}_1$, $ M_2^2$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_1$, $ M_2M_7$, $ \phi_1\tilde{q}_1^2$, $ M_2M_4$, $ \phi_1q_2\tilde{q}_2$, $ M_7^2$, $ M_4M_7$, $ M_2M_8$, $ \phi_1q_1\tilde{q}_2$, $ M_4^2$, $ M_2M_6$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_7M_8$, $ M_6M_7$, $ M_4M_8$, $ M_4M_6$, $ M_5M_7$ | $M_2\phi_1q_1q_2$ | 0 | t^2.1 + t^2.5 + t^2.65 + t^3.05 + t^3.2 + t^3.35 + t^3.5 + t^3.75 + t^3.9 + t^4.05 + t^4.2 + t^4.3 + t^4.45 + 2*t^4.6 + t^4.75 + t^5. + 2*t^5.15 + 2*t^5.3 + t^5.55 + 2*t^5.7 + 2*t^5.85 + t^6.1 + 2*t^6.25 + t^6.3 + 3*t^6.4 + 2*t^6.55 + 2*t^6.7 + 2*t^6.8 + 3*t^6.95 + 4*t^7.1 + 2*t^7.25 + t^7.35 + t^7.4 + 3*t^7.5 + 4*t^7.65 + 3*t^7.8 + t^7.95 + 2*t^8.05 - t^8.1 + 4*t^8.2 - t^8.25 + 4*t^8.35 + t^8.4 + t^8.5 + 2*t^8.6 - 2*t^8.65 + 4*t^8.75 + 5*t^8.9 - t^8.95 - t^4.4/y - t^6.5/y + t^7.6/y + t^7.75/y + (2*t^8.15)/y + (2*t^8.3)/y + t^8.45/y + t^8.55/y + (2*t^8.7)/y + (3*t^8.85)/y - t^4.4*y - t^6.5*y + t^7.6*y + t^7.75*y + 2*t^8.15*y + 2*t^8.3*y + t^8.45*y + t^8.55*y + 2*t^8.7*y + 3*t^8.85*y | t^2.1/g1^6 + g1^10*t^2.5 + g1*t^2.65 + g1^17*t^3.05 + g1^8*t^3.2 + t^3.35/g1 + t^3.5/g1^10 + g1^15*t^3.75 + g1^6*t^3.9 + t^4.05/g1^3 + t^4.2/g1^12 + g1^22*t^4.3 + g1^13*t^4.45 + 2*g1^4*t^4.6 + t^4.75/g1^5 + g1^20*t^5. + 2*g1^11*t^5.15 + 2*g1^2*t^5.3 + g1^27*t^5.55 + 2*g1^18*t^5.7 + 2*g1^9*t^5.85 + g1^34*t^6.1 + 2*g1^25*t^6.25 + t^6.3/g1^18 + 3*g1^16*t^6.4 + 2*g1^7*t^6.55 + (2*t^6.7)/g1^2 + 2*g1^32*t^6.8 + 3*g1^23*t^6.95 + 4*g1^14*t^7.1 + 2*g1^5*t^7.25 + g1^39*t^7.35 + t^7.4/g1^4 + 3*g1^30*t^7.5 + 4*g1^21*t^7.65 + 3*g1^12*t^7.8 + g1^3*t^7.95 + 2*g1^37*t^8.05 - t^8.1/g1^6 + 4*g1^28*t^8.2 - t^8.25/g1^15 + 4*g1^19*t^8.35 + t^8.4/g1^24 + g1^10*t^8.5 + 2*g1^44*t^8.6 - 2*g1*t^8.65 + 4*g1^35*t^8.75 + 5*g1^26*t^8.9 - t^8.95/g1^17 - t^4.4/(g1^4*y) - t^6.5/(g1^10*y) + (g1^4*t^7.6)/y + t^7.75/(g1^5*y) + (2*g1^11*t^8.15)/y + (2*g1^2*t^8.3)/y + t^8.45/(g1^7*y) + (g1^27*t^8.55)/y + (2*g1^18*t^8.7)/y + (3*g1^9*t^8.85)/y - (t^4.4*y)/g1^4 - (t^6.5*y)/g1^10 + g1^4*t^7.6*y + (t^7.75*y)/g1^5 + 2*g1^11*t^8.15*y + 2*g1^2*t^8.3*y + (t^8.45*y)/g1^7 + g1^27*t^8.55*y + 2*g1^18*t^8.7*y + 3*g1^9*t^8.85*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 |
|---|---|---|---|---|---|---|---|---|
| 6480 | $M_1q_1q_2$ + $ 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$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1^2$ + $ M_7\phi_1q_2^2$ + $ M_3M_8$ + $ M_1M_7$ + $ M_4M_9$ | 0.642 | 0.7949 | 0.8077 | [X:[], M:[1.1645, 0.6987, 0.9797, 0.8835, 1.1165, 1.0684, 0.8355, 1.0203, 1.1165], q:[0.4861, 0.3494], qb:[0.5342, 0.7671], phi:[0.4658]] | t^2.1 + t^2.51 + t^3.06 + t^3.21 + 2*t^3.35 + t^3.49 + t^3.76 + t^3.9 + t^4.05 + t^4.19 + t^4.31 + t^4.46 + 2*t^4.6 + t^5.01 + t^5.16 + t^5.3 + t^5.45 + t^5.57 + t^5.71 + 2*t^5.86 - t^6. - t^4.4/y - t^4.4*y | detail | |
| 6481 | $M_1q_1q_2$ + $ 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$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1^2$ + $ M_7\phi_1q_2^2$ + $ M_3M_8$ + $ M_1M_7$ + $ M_8M_9$ | 0.6572 | 0.8174 | 0.804 | [X:[], M:[1.1275, 0.6765, 0.9167, 0.8873, 1.1127, 1.098, 0.8725, 1.0833, 0.9167], q:[0.5343, 0.3382], qb:[0.549, 0.7745], phi:[0.451]] | t^2.03 + t^2.62 + t^2.66 + t^2.75 + t^3.29 + t^3.34 + t^3.38 + t^3.93 + t^3.97 + t^4.01 + t^4.06 + t^4.56 + t^4.6 + 2*t^4.65 + t^4.69 + t^4.78 + t^5.24 + t^5.28 + 2*t^5.32 + t^5.37 + t^5.41 + t^5.5 + t^5.91 + 2*t^5.96 - t^4.35/y - t^4.35*y | detail | |
| 6483 | $M_1q_1q_2$ + $ 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$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1^2$ + $ M_7\phi_1q_2^2$ + $ M_3M_8$ + $ M_1M_7$ + $ M_9\phi_1q_1q_2$ | 0.673 | 0.8519 | 0.79 | [X:[], M:[1.164, 0.6984, 0.9788, 0.8836, 1.1164, 1.0688, 0.836, 1.0212, 0.6984], q:[0.4868, 0.3492], qb:[0.5344, 0.7672], phi:[0.4656]] | 2*t^2.1 + t^2.51 + t^2.65 + t^3.06 + t^3.21 + t^3.35 + t^3.49 + t^3.76 + t^4.05 + 3*t^4.19 + t^4.32 + t^4.46 + 3*t^4.6 + 2*t^4.75 + t^5.02 + 3*t^5.16 + 3*t^5.3 + t^5.44 + t^5.57 + t^5.59 + 2*t^5.71 + 3*t^5.86 - t^6. - t^4.4/y - t^4.4*y | detail | |
| 6482 | $M_1q_1q_2$ + $ 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$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1^2$ + $ M_7\phi_1q_2^2$ + $ M_3M_8$ + $ M_1M_7$ + $ M_9q_1\tilde{q}_2$ | 0.6719 | 0.8474 | 0.7929 | [X:[], M:[1.1541, 0.6924, 0.9619, 0.8846, 1.1154, 1.0767, 0.8459, 1.0381, 0.7311], q:[0.4997, 0.3462], qb:[0.5384, 0.7692], phi:[0.4616]] | t^2.08 + t^2.19 + t^2.54 + t^2.65 + t^3.11 + t^3.23 + t^3.35 + t^3.46 + t^3.92 + t^4.04 + t^4.15 + t^4.27 + t^4.38 + t^4.39 + t^4.5 + 2*t^4.62 + 2*t^4.73 + t^4.85 + t^5.08 + 2*t^5.19 + 3*t^5.31 + t^5.42 + t^5.54 + t^5.65 + t^5.66 + 2*t^5.77 + t^5.88 - t^4.38/y - t^4.38*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2676 | 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$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1^2$ + $ M_7\phi_1q_2^2$ + $ M_3M_8$ | 0.671 | 0.8353 | 0.8033 | [X:[], M:[1.0384, 0.795, 1.0018, 0.8317, 1.1683, 1.0833, 0.7466, 0.9982], q:[0.5641, 0.3975], qb:[0.4341, 0.7708], phi:[0.4584]] | t^2.24 + t^2.39 + t^2.49 + t^2.99 + t^3.12 + t^3.25 + t^3.51 + t^3.87 + t^3.98 + t^4. + t^4.26 + t^4.37 + t^4.48 + t^4.62 + t^4.73 + t^4.76 + t^4.77 + t^4.88 + t^4.99 + t^5.23 + t^5.35 + t^5.38 + 2*t^5.49 + t^5.64 + 2*t^5.74 + t^5.99 - 2*t^6. - t^4.38/y - t^4.38*y | detail |