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 |
|---|---|---|---|---|---|---|---|---|---|
| 805 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_2M_4$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ M_6q_1\tilde{q}_2$ | 0.7476 | 0.931 | 0.803 | [X:[], M:[0.8758, 1.0, 0.7516, 1.0, 0.8758, 0.7516], q:[0.5621, 0.5621], qb:[0.4379, 0.6863], phi:[0.4379]] | [X:[], M:[[0, -2], [1, -1], [-1, -3], [-1, 1], [0, -2], [1, -5]], q:[[-1, 2], [1, 0]], qb:[[0, -1], [0, 3]], phi:[[0, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_3$, $ M_1$, $ M_5$, $ \phi_1^2$, $ M_2$, $ M_4$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ M_6^2$, $ M_3M_6$, $ M_3^2$, $ \phi_1q_2^2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1^2$, $ M_1M_6$, $ M_5M_6$, $ M_6\phi_1^2$, $ M_1M_3$, $ M_3M_5$, $ M_3\phi_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ M_2M_6$, $ M_1^2$, $ M_2M_3$, $ M_1M_5$, $ M_5^2$, $ M_4M_6$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ \phi_1^4$, $ M_3M_4$, $ \phi_1\tilde{q}_2^2$, $ M_1M_2$, $ M_2M_5$, $ M_2\phi_1^2$, $ M_1M_4$, $ M_4M_5$, $ M_4\phi_1^2$ | $M_2^2$, $ M_4^2$ | -3 | 2*t^2.25 + 3*t^2.63 + 2*t^3. + t^3.94 + 2*t^4.31 + 3*t^4.51 + 4*t^4.69 + 6*t^4.88 + 2*t^5.06 + 9*t^5.25 + t^5.43 + 2*t^5.63 - 3*t^6. + 2*t^6.2 - 4*t^6.37 + 6*t^6.57 - 2*t^6.75 + 4*t^6.76 + 12*t^6.94 + 9*t^7.14 + 13*t^7.31 + 16*t^7.51 + 6*t^7.69 + 13*t^7.88 - 3*t^8.06 - 4*t^8.25 - 4*t^8.43 + 3*t^8.45 - 16*t^8.63 - 2*t^8.8 + 10*t^8.82 - t^4.31/y - (2*t^6.57)/y - (3*t^6.94)/y + t^7.51/y + (3*t^7.69)/y + (6*t^7.88)/y + (2*t^8.06)/y + (7*t^8.25)/y + (6*t^8.63)/y - (3*t^8.82)/y - t^4.31*y - 2*t^6.57*y - 3*t^6.94*y + t^7.51*y + 3*t^7.69*y + 6*t^7.88*y + 2*t^8.06*y + 7*t^8.25*y + 6*t^8.63*y - 3*t^8.82*y | (g1*t^2.25)/g2^5 + t^2.25/(g1*g2^3) + (3*t^2.63)/g2^2 + (g1*t^3.)/g2 + (g2*t^3.)/g1 + t^3.94/g2^3 + t^4.31/g1 + (g1*t^4.31)/g2^2 + (g1^2*t^4.51)/g2^10 + t^4.51/g2^8 + t^4.51/(g1^2*g2^6) + (g1^2*t^4.69)/g2 + 2*g2*t^4.69 + (g2^3*t^4.69)/g1^2 + (3*g1*t^4.88)/g2^7 + (3*t^4.88)/(g1*g2^5) + g1*g2^2*t^5.06 + (g2^4*t^5.06)/g1 + (g1^2*t^5.25)/g2^6 + (7*t^5.25)/g2^4 + t^5.25/(g1^2*g2^2) + g2^5*t^5.43 + (g1*t^5.63)/g2^3 + t^5.63/(g1*g2) - 3*t^6. + (g1*t^6.2)/g2^8 + t^6.2/(g1*g2^6) - 2*g1*g2*t^6.37 - (2*g2^3*t^6.37)/g1 + (g1^2*t^6.57)/g2^7 + (4*t^6.57)/g2^5 + t^6.57/(g1^2*g2^3) - 2*g2^4*t^6.75 + (g1^3*t^6.76)/g2^15 + (g1*t^6.76)/g2^13 + t^6.76/(g1*g2^11) + t^6.76/(g1^3*g2^9) + t^6.94/g1^3 + (g1^3*t^6.94)/g2^6 + (5*g1*t^6.94)/g2^4 + (5*t^6.94)/(g1*g2^2) + (3*g1^2*t^7.14)/g2^12 + (3*t^7.14)/g2^10 + (3*t^7.14)/(g1^2*g2^8) + (4*g1^2*t^7.31)/g2^3 + (5*t^7.31)/g2 + (4*g2*t^7.31)/g1^2 + (g1^3*t^7.51)/g2^11 + (7*g1*t^7.51)/g2^9 + (7*t^7.51)/(g1*g2^7) + t^7.51/(g1^3*g2^5) + 2*g1*t^7.69 + (g1^3*t^7.69)/g2^2 + (2*g2^2*t^7.69)/g1 + (g2^4*t^7.69)/g1^3 + (g1^2*t^7.88)/g2^8 + (11*t^7.88)/g2^6 + t^7.88/(g1^2*g2^4) - g1^2*g2*t^8.06 - g2^3*t^8.06 - (g2^5*t^8.06)/g1^2 - (2*g1*t^8.25)/g2^5 - (2*t^8.25)/(g1*g2^3) - 2*g1*g2^4*t^8.43 - (2*g2^6*t^8.43)/g1 + (g1^2*t^8.45)/g2^13 + t^8.45/g2^11 + t^8.45/(g1^2*g2^9) - (2*t^8.63)/g1^2 - (2*g1^2*t^8.63)/g2^4 - (12*t^8.63)/g2^2 - 2*g2^7*t^8.8 + (g1^3*t^8.82)/g2^12 + (4*g1*t^8.82)/g2^10 + (4*t^8.82)/(g1*g2^8) + t^8.82/(g1^3*g2^6) - t^4.31/(g2*y) - (g1*t^6.57)/(g2^6*y) - t^6.57/(g1*g2^4*y) - (3*t^6.94)/(g2^3*y) + t^7.51/(g2^8*y) + (3*g2*t^7.69)/y + (3*g1*t^7.88)/(g2^7*y) + (3*t^7.88)/(g1*g2^5*y) + (g1*g2^2*t^8.06)/y + (g2^4*t^8.06)/(g1*y) + (g1^2*t^8.25)/(g2^6*y) + (5*t^8.25)/(g2^4*y) + t^8.25/(g1^2*g2^2*y) + (3*g1*t^8.63)/(g2^3*y) + (3*t^8.63)/(g1*g2*y) - (g1^2*t^8.82)/(g2^11*y) - t^8.82/(g2^9*y) - t^8.82/(g1^2*g2^7*y) - (t^4.31*y)/g2 - (g1*t^6.57*y)/g2^6 - (t^6.57*y)/(g1*g2^4) - (3*t^6.94*y)/g2^3 + (t^7.51*y)/g2^8 + 3*g2*t^7.69*y + (3*g1*t^7.88*y)/g2^7 + (3*t^7.88*y)/(g1*g2^5) + g1*g2^2*t^8.06*y + (g2^4*t^8.06*y)/g1 + (g1^2*t^8.25*y)/g2^6 + (5*t^8.25*y)/g2^4 + (t^8.25*y)/(g1^2*g2^2) + (3*g1*t^8.63*y)/g2^3 + (3*t^8.63*y)/(g1*g2) - (g1^2*t^8.82*y)/g2^11 - (t^8.82*y)/g2^9 - (t^8.82*y)/(g1^2*g2^7) |
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 |
|---|---|---|---|---|---|---|---|---|
| 1284 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_2M_4$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ M_6q_1\tilde{q}_2$ + $ M_3\phi_1^2$ | 0.7013 | 0.8626 | 0.813 | [X:[], M:[0.9771, 0.9313, 1.0229, 1.0687, 0.9771, 0.8854], q:[0.5802, 0.4427], qb:[0.4885, 0.5344], phi:[0.4885]] | t^2.66 + t^2.79 + 3*t^2.93 + t^3.07 + t^3.21 + t^4.12 + t^4.26 + 2*t^4.4 + 2*t^4.53 + 2*t^4.67 + t^4.81 + t^4.95 + t^5.31 + t^5.45 + 3*t^5.59 + 2*t^5.73 + 5*t^5.86 - t^4.47/y - t^4.47*y | detail | |
| 1285 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_2M_4$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ M_6q_1\tilde{q}_2$ + $ M_7\phi_1\tilde{q}_1^2$ | 0.7683 | 0.9711 | 0.7912 | [X:[], M:[0.8775, 1.0, 0.7551, 1.0, 0.8775, 0.7551, 0.6837], q:[0.5612, 0.5612], qb:[0.4388, 0.6837], phi:[0.4388]] | t^2.05 + 2*t^2.27 + 3*t^2.63 + 2*t^3. + t^4.1 + 4*t^4.32 + 3*t^4.53 + 7*t^4.68 + 6*t^4.9 + 4*t^5.05 + 9*t^5.27 + t^5.42 + 2*t^5.63 - 3*t^6. - t^4.32/y - t^4.32*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 |
|---|---|---|---|---|---|---|---|---|---|
| 515 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_2M_4$ + $ M_5\tilde{q}_1\tilde{q}_2$ | 0.7296 | 0.8971 | 0.8133 | [X:[], M:[0.8907, 1.0158, 0.7657, 0.9842, 0.8907], q:[0.5389, 0.5704], qb:[0.4454, 0.6639], phi:[0.4454]] | t^2.3 + 3*t^2.67 + t^2.95 + t^3.05 + t^3.61 + t^4.01 + t^4.29 + t^4.38 + t^4.57 + t^4.59 + 2*t^4.66 + t^4.76 + t^4.94 + 3*t^4.97 + t^5.04 + t^5.25 + t^5.32 + 6*t^5.34 + t^5.62 + t^5.72 + t^5.91 - 3*t^6. - t^4.34/y - t^4.34*y | detail |