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 |
|---|---|---|---|---|---|---|---|---|---|
| 536 | 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_6q_2\tilde{q}_1$ + $ M_1M_7$ | 0.7566 | 0.9235 | 0.8193 | [X:[], M:[0.8325, 1.2021, 0.7634, 0.797, 0.7989, 0.7634, 1.1675], q:[0.5669, 0.6005], qb:[0.6361, 0.6005], phi:[0.399]] | [X:[], M:[[-4, -4, 0, 0], [2, 2, 2, 2], [0, 0, -4, -4], [-4, 0, -4, 0], [0, -4, 0, -4], [0, -4, -4, 0], [4, 4, 0, 0]], q:[[4, 0, 0, 0], [0, 4, 0, 0]], qb:[[0, 0, 4, 0], [0, 0, 0, 4]], phi:[[-1, -1, -1, -1]]] | 4 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_3$, $ M_4$, $ M_5$, $ M_7$, $ q_1\tilde{q}_2$, $ M_2$, $ M_6^2$, $ M_3^2$, $ M_3M_6$, $ \phi_1q_1^2$, $ M_4M_6$, $ M_3M_4$, $ M_3M_5$, $ M_5M_6$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_2$, $ M_4^2$, $ M_5^2$, $ M_4M_5$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_6M_7$, $ M_3M_7$, $ M_6q_1\tilde{q}_2$, $ M_2M_3$, $ M_2M_6$ | $M_2M_4$, $ M_2M_5$ | -4 | 2*t^2.29 + t^2.39 + t^2.4 + 2*t^3.5 + t^3.61 + 3*t^4.58 + t^4.6 + 2*t^4.68 + 2*t^4.69 + 2*t^4.7 + t^4.78 + 2*t^4.79 + 3*t^4.8 + t^4.81 + 2*t^4.91 + t^5.01 + 3*t^5.79 + 2*t^5.9 - 4*t^6. - 2*t^6.1 - 2*t^6.11 - t^6.21 + 4*t^6.87 + 2*t^6.89 + 3*t^6.97 + 3*t^6.98 + 4*t^6.99 + 4*t^7. + 2*t^7.07 + 4*t^7.08 + 6*t^7.09 + 2*t^7.1 + 2*t^7.11 + t^7.17 + 2*t^7.18 + 4*t^7.19 + 4*t^7.2 + 2*t^7.3 + t^7.41 + 4*t^8.08 + 2*t^8.1 + 2*t^8.19 + 3*t^8.2 - 8*t^8.29 + 4*t^8.3 - 7*t^8.39 - 6*t^8.4 - t^8.41 - 2*t^8.49 - 6*t^8.5 - 2*t^8.51 - t^8.6 - t^8.62 - t^4.2/y - (2*t^6.49)/y - (2*t^6.59)/y + t^7.58/y + (2*t^7.68)/y + (2*t^7.69)/y + t^7.79/y + t^7.8/y + t^7.81/y + (2*t^7.91)/y - (3*t^8.78)/y + (4*t^8.79)/y - (4*t^8.88)/y + (2*t^8.89)/y + (4*t^8.9)/y - (2*t^8.98)/y - t^8.99/y - t^4.2*y - 2*t^6.49*y - 2*t^6.59*y + t^7.58*y + 2*t^7.68*y + 2*t^7.69*y + t^7.79*y + t^7.8*y + t^7.81*y + 2*t^7.91*y - 3*t^8.78*y + 4*t^8.79*y - 4*t^8.88*y + 2*t^8.89*y + 4*t^8.9*y - 2*t^8.98*y - t^8.99*y | t^2.29/(g2^4*g3^4) + t^2.29/(g3^4*g4^4) + t^2.39/(g1^4*g3^4) + t^2.4/(g2^4*g4^4) + g1^4*g2^4*t^3.5 + g1^4*g4^4*t^3.5 + g1^2*g2^2*g3^2*g4^2*t^3.61 + t^4.58/(g2^8*g3^8) + t^4.58/(g3^8*g4^8) + t^4.58/(g2^4*g3^8*g4^4) + (g1^7*t^4.6)/(g2*g3*g4) + t^4.68/(g1^4*g2^4*g3^8) + t^4.68/(g1^4*g3^8*g4^4) + t^4.69/(g2^4*g3^4*g4^8) + t^4.69/(g2^8*g3^4*g4^4) + (g1^3*g2^3*t^4.7)/(g3*g4) + (g1^3*g4^3*t^4.7)/(g2*g3) + t^4.78/(g1^8*g3^8) + t^4.79/(g2^8*g4^8) + t^4.79/(g1^4*g2^4*g3^4*g4^4) + (g2^7*t^4.8)/(g1*g3*g4) + (g2^3*g4^3*t^4.8)/(g1*g3) + (g4^7*t^4.8)/(g1*g2*g3) + (g1^3*g3^3*t^4.81)/(g2*g4) + (g2^3*g3^3*t^4.91)/(g1*g4) + (g3^3*g4^3*t^4.91)/(g1*g2) + (g3^7*t^5.01)/(g1*g2*g4) + (g1^4*t^5.79)/g3^4 + (g1^4*g2^4*t^5.79)/(g3^4*g4^4) + (g1^4*g4^4*t^5.79)/(g2^4*g3^4) + (g1^2*g2^2*t^5.9)/(g3^2*g4^2) + (g1^2*g4^2*t^5.9)/(g2^2*g3^2) - 4*t^6. - (g2^4*t^6.)/g4^4 + (g1^2*g3^2*t^6.)/(g2^2*g4^2) + (g2^2*g4^2*t^6.)/(g1^2*g3^2) - (g4^4*t^6.)/g2^4 - (g2^4*t^6.1)/g1^4 - (g4^4*t^6.1)/g1^4 - (g3^4*t^6.11)/g2^4 - (g3^4*t^6.11)/g4^4 - (g3^4*t^6.21)/g1^4 + t^6.87/(g2^12*g3^12) + t^6.87/(g3^12*g4^12) + t^6.87/(g2^4*g3^12*g4^8) + t^6.87/(g2^8*g3^12*g4^4) + (g1^7*t^6.89)/(g2*g3^5*g4^5) + (g1^7*t^6.89)/(g2^5*g3^5*g4) + t^6.97/(g1^4*g2^8*g3^12) + t^6.97/(g1^4*g3^12*g4^8) + t^6.97/(g1^4*g2^4*g3^12*g4^4) + t^6.98/(g2^4*g3^8*g4^12) + t^6.98/(g2^8*g3^8*g4^8) + t^6.98/(g2^12*g3^8*g4^4) + (g1^3*g2^3*t^6.99)/(g3^5*g4^5) + (2*g1^3*t^6.99)/(g2*g3^5*g4) + (g1^3*g4^3*t^6.99)/(g2^5*g3^5) + g1^8*g2^8*t^7. + (g1^7*t^7.)/(g2^5*g3*g4^5) + g1^8*g2^4*g4^4*t^7. + g1^8*g4^8*t^7. + t^7.07/(g1^8*g2^4*g3^12) + t^7.07/(g1^8*g3^12*g4^4) + t^7.08/(g2^8*g3^4*g4^12) + t^7.08/(g1^4*g2^4*g3^8*g4^8) + t^7.08/(g2^12*g3^4*g4^8) + t^7.08/(g1^4*g2^8*g3^8*g4^4) + (g2^7*t^7.09)/(g1*g3^5*g4^5) + (2*g2^3*t^7.09)/(g1*g3^5*g4) + (2*g4^3*t^7.09)/(g1*g2*g3^5) + (g4^7*t^7.09)/(g1*g2^5*g3^5) + (g1^3*t^7.1)/(g2*g3*g4^5) + (g1^3*t^7.1)/(g2^5*g3*g4) + g1^6*g2^6*g3^2*g4^2*t^7.11 + g1^6*g2^2*g3^2*g4^6*t^7.11 + t^7.17/(g1^12*g3^12) + t^7.18/(g1^4*g2^8*g3^4*g4^8) + t^7.18/(g1^8*g2^4*g3^8*g4^4) + t^7.19/(g2^12*g4^12) + (g2^7*t^7.19)/(g1^5*g3^5*g4) + (g2^3*g4^3*t^7.19)/(g1^5*g3^5) + (g4^7*t^7.19)/(g1^5*g2*g3^5) + (g2^3*t^7.2)/(g1*g3*g4^5) + (g1^3*g3^3*t^7.2)/(g2^5*g4^5) + t^7.2/(g1*g2*g3*g4) + (g4^3*t^7.2)/(g1*g2^5*g3) + (g3^3*t^7.3)/(g1*g2*g4^5) + (g3^3*t^7.3)/(g1*g2^5*g4) + (g3^7*t^7.41)/(g1*g2^5*g4^5) + (g1^4*t^8.08)/(g2^4*g3^8) + (g1^4*g2^4*t^8.08)/(g3^8*g4^8) + (g1^4*t^8.08)/(g3^8*g4^4) + (g1^4*g4^4*t^8.08)/(g2^8*g3^8) + (g1^11*g2^3*t^8.1)/(g3*g4) + (g1^11*g4^3*t^8.1)/(g2*g3) + (g1^2*g2^2*t^8.19)/(g3^6*g4^6) - (g1^4*t^8.19)/(g2^4*g3^4*g4^4) + (g1^2*t^8.19)/(g2^2*g3^6*g4^2) + (g1^2*g4^2*t^8.19)/(g2^6*g3^6) + (g1^7*g2^7*t^8.2)/(g3*g4) + (g1^7*g2^3*g4^3*t^8.2)/g3 + (g1^7*g4^7*t^8.2)/(g2*g3) - (5*t^8.29)/(g2^4*g3^4) - (g2^4*t^8.29)/(g3^4*g4^8) + (g1^2*t^8.29)/(g2^2*g3^2*g4^6) - (5*t^8.29)/(g3^4*g4^4) + (g2^2*t^8.29)/(g1^2*g3^6*g4^2) + (g1^2*t^8.29)/(g2^6*g3^2*g4^2) + (g4^2*t^8.29)/(g1^2*g2^2*g3^6) - (g4^4*t^8.29)/(g2^8*g3^4) + (g1^3*g2^11*t^8.3)/(g3*g4) + (g1^3*g2^7*g4^3*t^8.3)/g3 + (g1^3*g2^3*g4^7*t^8.3)/g3 + (g1^3*g4^11*t^8.3)/(g2*g3) - (5*t^8.39)/(g1^4*g3^4) - (2*g2^4*t^8.39)/(g1^4*g3^4*g4^4) + t^8.39/(g1^2*g2^2*g3^2*g4^2) + (g2^2*g4^2*t^8.39)/(g1^6*g3^6) - (2*g4^4*t^8.39)/(g1^4*g2^4*g3^4) - t^8.4/g2^8 - t^8.4/g4^8 + (g1^2*g3^2*t^8.4)/(g2^6*g4^6) - (5*t^8.4)/(g2^4*g4^4) - g1^3*g2^3*g3^3*g4^3*t^8.41 - (g2^4*t^8.49)/(g1^8*g3^4) - (g4^4*t^8.49)/(g1^8*g3^4) - (2*t^8.5)/(g1^4*g2^4) - (g3^4*t^8.5)/(g2^4*g4^8) - (2*t^8.5)/(g1^4*g4^4) - (g3^4*t^8.5)/(g2^8*g4^4) - (g2^7*g3^3*g4^3*t^8.51)/g1 - (g2^3*g3^3*g4^7*t^8.51)/g1 - (g3^4*t^8.6)/(g1^4*g2^4*g4^4) - (g2^3*g3^7*g4^3*t^8.62)/g1 - t^4.2/(g1*g2*g3*g4*y) - t^6.49/(g1*g2*g3^5*g4^5*y) - t^6.49/(g1*g2^5*g3^5*g4*y) - t^6.59/(g1*g2^5*g3*g4^5*y) - t^6.59/(g1^5*g2*g3^5*g4*y) + t^7.58/(g2^4*g3^8*g4^4*y) + t^7.68/(g1^4*g2^4*g3^8*y) + t^7.68/(g1^4*g3^8*g4^4*y) + t^7.69/(g2^4*g3^4*g4^8*y) + t^7.69/(g2^8*g3^4*g4^4*y) + t^7.79/(g1^4*g2^4*g3^4*g4^4*y) + (g2^3*g4^3*t^7.8)/(g1*g3*y) + (g1^3*g3^3*t^7.81)/(g2*g4*y) + (g2^3*g3^3*t^7.91)/(g1*g4*y) + (g3^3*g4^3*t^7.91)/(g1*g2*y) - t^8.78/(g1*g2*g3^9*g4^9*y) - t^8.78/(g1*g2^5*g3^9*g4^5*y) - t^8.78/(g1*g2^9*g3^9*g4*y) + (2*g1^4*t^8.79)/(g3^4*y) + (g1^4*g2^4*t^8.79)/(g3^4*g4^4*y) + (g1^4*g4^4*t^8.79)/(g2^4*g3^4*y) - t^8.88/(g1*g2^5*g3^5*g4^9*y) - t^8.88/(g1^5*g2*g3^9*g4^5*y) - t^8.88/(g1*g2^9*g3^5*g4^5*y) - t^8.88/(g1^5*g2^5*g3^9*g4*y) + (g2^4*t^8.89)/(g3^4*y) + (g4^4*t^8.89)/(g3^4*y) + (g1^4*t^8.9)/(g2^4*y) + (g1^4*t^8.9)/(g4^4*y) + (g1^2*g2^2*t^8.9)/(g3^2*g4^2*y) + (g1^2*g4^2*t^8.9)/(g2^2*g3^2*y) - t^8.98/(g1^5*g2^5*g3^5*g4^5*y) - t^8.98/(g1^9*g2*g3^9*g4*y) - t^8.99/(g1*g2^9*g3*g4^9*y) - (t^4.2*y)/(g1*g2*g3*g4) - (t^6.49*y)/(g1*g2*g3^5*g4^5) - (t^6.49*y)/(g1*g2^5*g3^5*g4) - (t^6.59*y)/(g1*g2^5*g3*g4^5) - (t^6.59*y)/(g1^5*g2*g3^5*g4) + (t^7.58*y)/(g2^4*g3^8*g4^4) + (t^7.68*y)/(g1^4*g2^4*g3^8) + (t^7.68*y)/(g1^4*g3^8*g4^4) + (t^7.69*y)/(g2^4*g3^4*g4^8) + (t^7.69*y)/(g2^8*g3^4*g4^4) + (t^7.79*y)/(g1^4*g2^4*g3^4*g4^4) + (g2^3*g4^3*t^7.8*y)/(g1*g3) + (g1^3*g3^3*t^7.81*y)/(g2*g4) + (g2^3*g3^3*t^7.91*y)/(g1*g4) + (g3^3*g4^3*t^7.91*y)/(g1*g2) - (t^8.78*y)/(g1*g2*g3^9*g4^9) - (t^8.78*y)/(g1*g2^5*g3^9*g4^5) - (t^8.78*y)/(g1*g2^9*g3^9*g4) + (2*g1^4*t^8.79*y)/g3^4 + (g1^4*g2^4*t^8.79*y)/(g3^4*g4^4) + (g1^4*g4^4*t^8.79*y)/(g2^4*g3^4) - (t^8.88*y)/(g1*g2^5*g3^5*g4^9) - (t^8.88*y)/(g1^5*g2*g3^9*g4^5) - (t^8.88*y)/(g1*g2^9*g3^5*g4^5) - (t^8.88*y)/(g1^5*g2^5*g3^9*g4) + (g2^4*t^8.89*y)/g3^4 + (g4^4*t^8.89*y)/g3^4 + (g1^4*t^8.9*y)/g2^4 + (g1^4*t^8.9*y)/g4^4 + (g1^2*g2^2*t^8.9*y)/(g3^2*g4^2) + (g1^2*g4^2*t^8.9*y)/(g2^2*g3^2) - (t^8.98*y)/(g1^5*g2^5*g3^5*g4^5) - (t^8.98*y)/(g1^9*g2*g3^9*g4) - (t^8.99*y)/(g1*g2^9*g3*g4^9) |
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 |
|---|---|---|---|---|---|---|---|---|
| 839 | $M_1q_1q_2$ + $ 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_6q_2\tilde{q}_1$ + $ M_1M_7$ + $ M_3M_6$ | 0.7051 | 0.8546 | 0.8251 | [X:[], M:[0.855, 1.0725, 1.0, 0.9226, 0.9324, 1.0, 1.145], q:[0.6112, 0.5338], qb:[0.4662, 0.5338], phi:[0.4638]] | t^2.77 + t^2.8 + 2*t^3. + t^3.22 + 2*t^3.43 + t^4.19 + 2*t^4.39 + 3*t^4.59 + t^4.62 + 2*t^4.83 + t^5.06 + t^5.54 + t^5.59 + t^5.99 - 3*t^6. - t^4.39/y - t^4.39*y | detail | |
| 845 | $M_1q_1q_2$ + $ 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_6q_2\tilde{q}_1$ + $ M_1M_7$ + $ M_4M_8$ | 0.7418 | 0.8996 | 0.8246 | [X:[], M:[0.8609, 1.1769, 0.7854, 0.8609, 0.7854, 0.7854, 1.1391, 1.1391], q:[0.5318, 0.6073], qb:[0.6073, 0.6073], phi:[0.4116]] | 3*t^2.36 + 3*t^3.42 + t^3.53 + t^4.43 + 3*t^4.65 + 6*t^4.71 + 6*t^4.88 + 6*t^5.77 + 3*t^5.89 - 10*t^6. - t^4.23/y - t^4.23*y | detail | |
| 840 | $M_1q_1q_2$ + $ 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_6q_2\tilde{q}_1$ + $ M_1M_7$ + $ M_5M_8$ | 0.742 | 0.9005 | 0.8241 | [X:[], M:[0.865, 1.1759, 0.7832, 0.7832, 0.865, 0.7832, 1.135, 1.135], q:[0.5675, 0.5675], qb:[0.6493, 0.5675], phi:[0.4121]] | 3*t^2.35 + 3*t^3.4 + t^3.53 + 6*t^4.64 + 6*t^4.7 + 3*t^4.89 + t^5.13 + 6*t^5.75 + 3*t^5.88 - 10*t^6. - t^4.24/y - t^4.24*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 |
|---|---|---|---|---|---|---|---|---|---|
| 339 | 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_6q_2\tilde{q}_1$ | 0.7729 | 0.9519 | 0.812 | [X:[], M:[0.7777, 1.2223, 0.7777, 0.7777, 0.7777, 0.7473], q:[0.596, 0.6263], qb:[0.6263, 0.596], phi:[0.3888]] | t^2.24 + 4*t^2.33 + t^3.58 + t^3.67 + t^4.48 + 4*t^4.57 + 10*t^4.67 + 3*t^4.74 + 4*t^4.83 + 3*t^4.92 + t^5.82 + t^5.91 - 4*t^6. - t^4.17/y - t^4.17*y | detail |