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 |
|---|---|---|---|---|---|---|---|---|---|
| 46141 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_2\tilde{q}_1$ + $ M_3\phi_1q_1^2$ + $ M_4q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ | 0.6896 | 0.8756 | 0.7876 | [X:[], M:[0.6901, 0.6901, 0.6833, 0.7038], q:[0.4841, 0.8258], qb:[0.8258, 0.4705], phi:[0.3485]] | [X:[], M:[[-7, 1], [-7, 1], [-10, 2], [-1, -1]], q:[[6, -1], [1, 0]], qb:[[1, 0], [0, 1]], phi:[[-2, 0]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_1$, $ M_2$, $ \phi_1^2$, $ M_4$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ M_3^2$, $ M_1M_3$, $ M_2M_3$, $ M_1^2$, $ M_1M_2$, $ M_2^2$, $ M_3\phi_1^2$, $ M_3M_4$, $ M_1\phi_1^2$, $ M_2\phi_1^2$, $ M_1M_4$, $ M_2M_4$, $ \phi_1^4$, $ M_4\phi_1^2$, $ M_4^2$, $ M_3q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1$, $ \phi_1^2q_1\tilde{q}_2$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_1$, $ M_4q_1\tilde{q}_2$, $ q_1^2\tilde{q}_2^2$, $ M_3\phi_1\tilde{q}_2^2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_1\phi_1\tilde{q}_2^2$, $ M_2\phi_1\tilde{q}_2^2$, $ M_3\phi_1q_1\tilde{q}_2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ \phi_1^3\tilde{q}_2^2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_4\phi_1\tilde{q}_2^2$ | $\phi_1q_2^2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1^3q_1\tilde{q}_2$ | -1 | t^2.05 + 2*t^2.07 + t^2.09 + t^2.11 + t^2.86 + t^3.87 + t^3.89 + t^3.91 + t^4.1 + 2*t^4.12 + 4*t^4.14 + 3*t^4.16 + 3*t^4.18 + t^4.2 + t^4.22 + t^4.91 + 2*t^4.93 + 2*t^4.95 + t^4.98 + t^5.73 + t^5.92 + 3*t^5.94 + 3*t^5.96 + 2*t^5.98 - t^6. - t^6.02 - t^6.04 + t^6.15 + 2*t^6.17 + 4*t^6.19 + 7*t^6.21 + 6*t^6.23 + 6*t^6.25 + 4*t^6.27 + 3*t^6.29 + t^6.31 + t^6.33 + t^6.73 + t^6.75 + t^6.77 + t^6.96 + 2*t^6.98 + 4*t^7. + 3*t^7.02 + 2*t^7.05 + t^7.74 + t^7.76 + 2*t^7.78 + t^7.8 - t^7.84 - t^7.86 + t^7.97 + 3*t^7.99 + 6*t^8.01 + 5*t^8.03 + 2*t^8.05 - 4*t^8.07 - 4*t^8.09 - 5*t^8.11 - 2*t^8.13 - t^8.15 + t^8.2 + 2*t^8.22 + 4*t^8.24 + 7*t^8.26 + 11*t^8.28 + 10*t^8.3 + 11*t^8.32 + 8*t^8.34 + 7*t^8.36 + 4*t^8.38 + 3*t^8.4 + t^8.42 + t^8.45 + t^8.59 + t^8.78 + 3*t^8.8 + 3*t^8.82 + t^8.84 - 2*t^8.86 - 3*t^8.88 - 2*t^8.9 - t^4.05/y - t^6.1/y - (2*t^6.12)/y - t^6.14/y - t^6.16/y + (2*t^7.12)/y + (2*t^7.14)/y + (3*t^7.16)/y + (2*t^7.18)/y + t^7.2/y + t^7.91/y + (3*t^7.93)/y + (2*t^7.95)/y + (3*t^7.98)/y + t^8./y - t^8.15/y - (2*t^8.17)/y - (4*t^8.19)/y - (3*t^8.21)/y - (3*t^8.23)/y - t^8.25/y - t^8.27/y + t^8.92/y + (3*t^8.94)/y + (4*t^8.96)/y + (4*t^8.98)/y - t^4.05*y - t^6.1*y - 2*t^6.12*y - t^6.14*y - t^6.16*y + 2*t^7.12*y + 2*t^7.14*y + 3*t^7.16*y + 2*t^7.18*y + t^7.2*y + t^7.91*y + 3*t^7.93*y + 2*t^7.95*y + 3*t^7.98*y + t^8.*y - t^8.15*y - 2*t^8.17*y - 4*t^8.19*y - 3*t^8.21*y - 3*t^8.23*y - t^8.25*y - t^8.27*y + t^8.92*y + 3*t^8.94*y + 4*t^8.96*y + 4*t^8.98*y | (g2^2*t^2.05)/g1^10 + (2*g2*t^2.07)/g1^7 + t^2.09/g1^4 + t^2.11/(g1*g2) + g1^6*t^2.86 + (g2^2*t^3.87)/g1^2 + g1*g2*t^3.89 + g1^4*t^3.91 + (g2^4*t^4.1)/g1^20 + (2*g2^3*t^4.12)/g1^17 + (4*g2^2*t^4.14)/g1^14 + (3*g2*t^4.16)/g1^11 + (3*t^4.18)/g1^8 + t^4.2/(g1^5*g2) + t^4.22/(g1^2*g2^2) + (g2^2*t^4.91)/g1^4 + (2*g2*t^4.93)/g1 + 2*g1^2*t^4.95 + (g1^5*t^4.98)/g2 + g1^12*t^5.73 + (g2^4*t^5.92)/g1^12 + (3*g2^3*t^5.94)/g1^9 + (3*g2^2*t^5.96)/g1^6 + (2*g2*t^5.98)/g1^3 - t^6. - (g1^3*t^6.02)/g2 - (g1^6*t^6.04)/g2^2 + (g2^6*t^6.15)/g1^30 + (2*g2^5*t^6.17)/g1^27 + (4*g2^4*t^6.19)/g1^24 + (7*g2^3*t^6.21)/g1^21 + (6*g2^2*t^6.23)/g1^18 + (6*g2*t^6.25)/g1^15 + (4*t^6.27)/g1^12 + (3*t^6.29)/(g1^9*g2) + t^6.31/(g1^6*g2^2) + t^6.33/(g1^3*g2^3) + g1^4*g2^2*t^6.73 + g1^7*g2*t^6.75 + g1^10*t^6.77 + (g2^4*t^6.96)/g1^14 + (2*g2^3*t^6.98)/g1^11 + (4*g2^2*t^7.)/g1^8 + (3*g2*t^7.02)/g1^5 + (2*t^7.05)/g1^2 + (g2^4*t^7.74)/g1^4 + (g2^3*t^7.76)/g1 + 2*g1^2*g2^2*t^7.78 + g1^5*g2*t^7.8 - (g1^11*t^7.84)/g2 - (g1^14*t^7.86)/g2^2 + (g2^6*t^7.97)/g1^22 + (3*g2^5*t^7.99)/g1^19 + (6*g2^4*t^8.01)/g1^16 + (5*g2^3*t^8.03)/g1^13 + (2*g2^2*t^8.05)/g1^10 - (4*g2*t^8.07)/g1^7 - (4*t^8.09)/g1^4 - (5*t^8.11)/(g1*g2) - (2*g1^2*t^8.13)/g2^2 - (g1^5*t^8.15)/g2^3 + (g2^8*t^8.2)/g1^40 + (2*g2^7*t^8.22)/g1^37 + (4*g2^6*t^8.24)/g1^34 + (7*g2^5*t^8.26)/g1^31 + (11*g2^4*t^8.28)/g1^28 + (10*g2^3*t^8.3)/g1^25 + (11*g2^2*t^8.32)/g1^22 + (8*g2*t^8.34)/g1^19 + (7*t^8.36)/g1^16 + (4*t^8.38)/(g1^13*g2) + (3*t^8.4)/(g1^10*g2^2) + t^8.42/(g1^7*g2^3) + t^8.45/(g1^4*g2^4) + g1^18*t^8.59 + (g2^4*t^8.78)/g1^6 + (3*g2^3*t^8.8)/g1^3 + 3*g2^2*t^8.82 + g1^3*g2*t^8.84 - 2*g1^6*t^8.86 - (3*g1^9*t^8.88)/g2 - (2*g1^12*t^8.9)/g2^2 - t^4.05/(g1^2*y) - (g2^2*t^6.1)/(g1^12*y) - (2*g2*t^6.12)/(g1^9*y) - t^6.14/(g1^6*y) - t^6.16/(g1^3*g2*y) + (2*g2^3*t^7.12)/(g1^17*y) + (2*g2^2*t^7.14)/(g1^14*y) + (3*g2*t^7.16)/(g1^11*y) + (2*t^7.18)/(g1^8*y) + t^7.2/(g1^5*g2*y) + (g2^2*t^7.91)/(g1^4*y) + (3*g2*t^7.93)/(g1*y) + (2*g1^2*t^7.95)/y + (3*g1^5*t^7.98)/(g2*y) + (g1^8*t^8.)/(g2^2*y) - (g2^4*t^8.15)/(g1^22*y) - (2*g2^3*t^8.17)/(g1^19*y) - (4*g2^2*t^8.19)/(g1^16*y) - (3*g2*t^8.21)/(g1^13*y) - (3*t^8.23)/(g1^10*y) - t^8.25/(g1^7*g2*y) - t^8.27/(g1^4*g2^2*y) + (g2^4*t^8.92)/(g1^12*y) + (3*g2^3*t^8.94)/(g1^9*y) + (4*g2^2*t^8.96)/(g1^6*y) + (4*g2*t^8.98)/(g1^3*y) - (t^4.05*y)/g1^2 - (g2^2*t^6.1*y)/g1^12 - (2*g2*t^6.12*y)/g1^9 - (t^6.14*y)/g1^6 - (t^6.16*y)/(g1^3*g2) + (2*g2^3*t^7.12*y)/g1^17 + (2*g2^2*t^7.14*y)/g1^14 + (3*g2*t^7.16*y)/g1^11 + (2*t^7.18*y)/g1^8 + (t^7.2*y)/(g1^5*g2) + (g2^2*t^7.91*y)/g1^4 + (3*g2*t^7.93*y)/g1 + 2*g1^2*t^7.95*y + (3*g1^5*t^7.98*y)/g2 + (g1^8*t^8.*y)/g2^2 - (g2^4*t^8.15*y)/g1^22 - (2*g2^3*t^8.17*y)/g1^19 - (4*g2^2*t^8.19*y)/g1^16 - (3*g2*t^8.21*y)/g1^13 - (3*t^8.23*y)/g1^10 - (t^8.25*y)/(g1^7*g2) - (t^8.27*y)/(g1^4*g2^2) + (g2^4*t^8.92*y)/g1^12 + (3*g2^3*t^8.94*y)/g1^9 + (4*g2^2*t^8.96*y)/g1^6 + (4*g2*t^8.98*y)/g1^3 |
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 |
|---|---|---|---|---|---|---|---|---|
| 46482 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_2\tilde{q}_1$ + $ M_3\phi_1q_1^2$ + $ M_4q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1\tilde{q}_2^2$ | 0.7101 | 0.9146 | 0.7765 | [X:[], M:[0.6907, 0.6907, 0.6892, 0.6937, 0.6952], q:[0.4824, 0.827], qb:[0.827, 0.4794], phi:[0.3461]] | 3*t^2.07 + 2*t^2.08 + t^2.09 + t^2.89 + 2*t^3.92 + 7*t^4.14 + 7*t^4.15 + 5*t^4.16 + 2*t^4.17 + t^4.95 + 4*t^4.96 + 2*t^4.97 + t^5.77 + 3*t^5.99 - t^4.04/y - t^4.04*y | detail | |
| 46498 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_2\tilde{q}_1$ + $ M_3\phi_1q_1^2$ + $ M_4q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1^2$ | 0.6691 | 0.8361 | 0.8002 | [X:[], M:[0.6932, 0.6932, 0.6855, 0.7086, 1.2991], q:[0.482, 0.8248], qb:[0.8248, 0.4666], phi:[0.3505]] | t^2.06 + 2*t^2.08 + t^2.13 + t^2.85 + t^3.85 + t^3.87 + 2*t^3.9 + t^4.11 + 2*t^4.14 + 3*t^4.16 + t^4.18 + 2*t^4.21 + t^4.25 + t^4.9 + 2*t^4.93 + t^4.95 + t^4.97 + t^5.69 + t^5.91 + 3*t^5.93 + 3*t^5.95 + 3*t^5.98 - 2*t^6. - t^4.05/y - t^4.05*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 |
|---|---|---|---|---|---|---|---|---|---|
| 45958 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_2\tilde{q}_1$ + $ M_3\phi_1q_1^2$ + $ M_4q_2\tilde{q}_2$ | 0.6897 | 0.8762 | 0.7872 | [X:[], M:[0.6829, 0.6979, 0.6829, 0.6979], q:[0.4841, 0.8331], qb:[0.818, 0.469], phi:[0.349]] | 2*t^2.05 + 3*t^2.09 + t^2.86 + 2*t^3.86 + t^3.91 + 3*t^4.1 + 6*t^4.14 + 6*t^4.19 + 2*t^4.91 + 4*t^4.95 + t^5.72 + 4*t^5.91 + 6*t^5.95 - 2*t^6. - t^4.05/y - t^4.05*y | detail |