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 |
|---|---|---|---|---|---|---|---|---|---|
| 46091 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3^2$ + $ M_1M_2$ | 0.7027 | 0.862 | 0.8151 | [X:[], M:[0.9335, 1.0665, 1.0, 0.867], q:[0.4817, 0.5848], qb:[0.4519, 0.5481], phi:[0.4834]] | [X:[], M:[[-4, -4], [4, 4], [0, 0], [-8, -8]], q:[[-4, 4], [8, 0]], qb:[[0, -8], [0, 8]], phi:[[-1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_1$, $ \phi_1^2$, $ M_3$, $ q_1\tilde{q}_2$, $ q_2\tilde{q}_1$, $ M_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ M_4^2$, $ M_1M_4$, $ M_4\phi_1^2$, $ M_1^2$, $ M_3M_4$, $ M_1\phi_1^2$, $ M_1M_3$, $ M_2M_4$, $ \phi_1^4$, $ M_3\phi_1^2$, $ \phi_1^2q_1\tilde{q}_2$ | . | -2 | t^2.6 + t^2.8 + t^2.9 + t^3. + t^3.09 + t^3.11 + t^3.2 + t^4.16 + t^4.25 + t^4.34 + t^4.45 + t^4.54 + t^4.56 + t^4.65 + t^4.74 + t^4.85 + t^4.96 + t^5.2 + t^5.4 + t^5.5 + t^5.6 + t^5.7 + 2*t^5.8 + t^5.9 + t^5.99 - 2*t^6. + t^6.01 + t^6.1 + t^6.18 + t^6.22 + t^6.76 + t^6.85 + t^6.94 + t^6.96 + t^7.05 + t^7.06 + t^7.14 + t^7.15 + t^7.16 + t^7.24 + 2*t^7.25 - t^7.26 + t^7.27 + 2*t^7.34 + t^7.36 + t^7.43 + t^7.45 + t^7.46 + 2*t^7.54 + t^7.56 + t^7.63 + t^7.65 - t^7.66 + t^7.67 + t^7.74 + t^7.76 + t^7.8 + t^7.83 - t^7.84 + t^7.85 + t^7.86 + t^7.94 - t^7.95 + t^7.96 + t^8. + t^8.05 - t^8.06 + t^8.07 + t^8.1 + t^8.16 + t^8.2 + t^8.3 + t^8.32 + 2*t^8.4 + t^8.41 + 2*t^8.5 - t^8.51 + t^8.59 - t^8.6 + t^8.61 + t^8.68 - t^8.69 + 3*t^8.7 - t^8.71 + t^8.72 + t^8.79 - 3*t^8.8 + t^8.81 + t^8.88 - t^8.89 + 2*t^8.99 - t^4.45/y - t^7.05/y - t^7.35/y + t^7.55/y + t^7.85/y + t^8.4/y + t^8.5/y + t^8.6/y + t^8.69/y + t^8.7/y + t^8.71/y + (2*t^8.8)/y + t^8.89/y + t^8.9/y + t^8.91/y + t^8.99/y - t^4.45*y - t^7.05*y - t^7.35*y + t^7.55*y + t^7.85*y + t^8.4*y + t^8.5*y + t^8.6*y + t^8.69*y + t^8.7*y + t^8.71*y + 2*t^8.8*y + t^8.89*y + t^8.9*y + t^8.91*y + t^8.99*y | t^2.6/(g1^8*g2^8) + t^2.8/(g1^4*g2^4) + t^2.9/(g1^2*g2^2) + t^3. + (g2^12*t^3.09)/g1^4 + (g1^8*t^3.11)/g2^8 + g1^4*g2^4*t^3.2 + t^4.16/(g1*g2^17) + t^4.25/(g1^5*g2^5) + (g2^7*t^4.34)/g1^9 + t^4.45/(g1*g2) + (g2^11*t^4.54)/g1^5 + (g1^7*t^4.56)/g2^9 + g1^3*g2^3*t^4.65 + (g2^15*t^4.74)/g1 + g1^7*g2^7*t^4.85 + (g1^15*t^4.96)/g2 + t^5.2/(g1^16*g2^16) + t^5.4/(g1^12*g2^12) + t^5.5/(g1^10*g2^10) + t^5.6/(g1^8*g2^8) + t^5.7/(g1^6*g2^6) + (2*t^5.8)/(g1^4*g2^4) + t^5.9/(g1^2*g2^2) + (g2^10*t^5.99)/g1^6 - 2*t^6. + (g1^6*t^6.01)/g2^10 + g1^2*g2^2*t^6.1 + (g2^24*t^6.18)/g1^8 + (g1^16*t^6.22)/g2^16 + t^6.76/(g1^9*g2^25) + t^6.85/(g1^13*g2^13) + t^6.94/(g1^17*g2) + t^6.96/(g1^5*g2^21) + t^7.05/(g1^9*g2^9) + t^7.06/(g1^3*g2^19) + (g2^3*t^7.14)/g1^13 + t^7.15/(g1^7*g2^7) + t^7.16/(g1*g2^17) + (g2^5*t^7.24)/g1^11 + (2*t^7.25)/(g1^5*g2^5) - (g1*t^7.26)/g2^15 + (g1^7*t^7.27)/g2^25 + (2*g2^7*t^7.34)/g1^9 + (g1^3*t^7.36)/g2^13 + (g2^19*t^7.43)/g1^13 + t^7.45/(g1*g2) + (g1^5*t^7.46)/g2^11 + (2*g2^11*t^7.54)/g1^5 + (g1^7*t^7.56)/g2^9 + (g2^23*t^7.63)/g1^9 + g1^3*g2^3*t^7.65 - (g1^9*t^7.66)/g2^7 + (g1^15*t^7.67)/g2^17 + (g2^15*t^7.74)/g1 + (g1^11*t^7.76)/g2^5 + t^7.8/(g1^24*g2^24) + (g2^27*t^7.83)/g1^5 - g1*g2^17*t^7.84 + g1^7*g2^7*t^7.85 + (g1^13*t^7.86)/g2^3 + g1^3*g2^19*t^7.94 - g1^9*g2^9*t^7.95 + (g1^15*t^7.96)/g2 + t^8./(g1^20*g2^20) + g1^11*g2^11*t^8.05 - g1^17*g2*t^8.06 + (g1^23*t^8.07)/g2^9 + t^8.1/(g1^18*g2^18) + g1^19*g2^3*t^8.16 + t^8.2/(g1^16*g2^16) + t^8.3/(g1^14*g2^14) + t^8.32/(g1^2*g2^34) + (2*t^8.4)/(g1^12*g2^12) + t^8.41/(g1^6*g2^22) + (2*t^8.5)/(g1^10*g2^10) - t^8.51/(g1^4*g2^20) + (g2^2*t^8.59)/g1^14 - t^8.6/(g1^8*g2^8) + t^8.61/(g1^2*g2^18) + (g2^14*t^8.68)/g1^18 - (g2^4*t^8.69)/g1^12 + (3*t^8.7)/(g1^6*g2^6) - t^8.71/g2^16 + (g1^6*t^8.72)/g2^26 + (g2^6*t^8.79)/g1^10 - (3*t^8.8)/(g1^4*g2^4) + (g1^2*t^8.81)/g2^14 + (g2^18*t^8.88)/g1^14 - (g2^8*t^8.89)/g1^8 + (2*g2^10*t^8.99)/g1^6 - t^4.45/(g1*g2*y) - t^7.05/(g1^9*g2^9*y) - t^7.35/(g1^3*g2^3*y) + (g1*g2*t^7.55)/y + (g1^7*g2^7*t^7.85)/y + t^8.4/(g1^12*g2^12*y) + t^8.5/(g1^10*g2^10*y) + t^8.6/(g1^8*g2^8*y) + (g2^4*t^8.69)/(g1^12*y) + t^8.7/(g1^6*g2^6*y) + t^8.71/(g2^16*y) + (2*t^8.8)/(g1^4*g2^4*y) + (g2^8*t^8.89)/(g1^8*y) + t^8.9/(g1^2*g2^2*y) + (g1^4*t^8.91)/(g2^12*y) + (g2^10*t^8.99)/(g1^6*y) - (t^4.45*y)/(g1*g2) - (t^7.05*y)/(g1^9*g2^9) - (t^7.35*y)/(g1^3*g2^3) + g1*g2*t^7.55*y + g1^7*g2^7*t^7.85*y + (t^8.4*y)/(g1^12*g2^12) + (t^8.5*y)/(g1^10*g2^10) + (t^8.6*y)/(g1^8*g2^8) + (g2^4*t^8.69*y)/g1^12 + (t^8.7*y)/(g1^6*g2^6) + (t^8.71*y)/g2^16 + (2*t^8.8*y)/(g1^4*g2^4) + (g2^8*t^8.89*y)/g1^8 + (t^8.9*y)/(g1^2*g2^2) + (g1^4*t^8.91*y)/g2^12 + (g2^10*t^8.99*y)/g1^6 |
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 |
|---|---|---|---|---|---|---|---|---|
| 46774 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3^2$ + $ M_1M_2$ + $ M_2M_5$ | 0.7096 | 0.8749 | 0.811 | [X:[], M:[0.9169, 1.0831, 1.0, 0.8338, 0.9169], q:[0.4765, 0.6066], qb:[0.4404, 0.5596], phi:[0.4792]] | t^2.5 + 2*t^2.75 + t^2.88 + t^3. + t^3.11 + t^3.14 + t^4.08 + t^4.19 + t^4.3 + t^4.44 + t^4.55 + t^4.58 + t^4.69 + t^4.8 + t^4.94 + t^5. + t^5.08 + 2*t^5.25 + t^5.38 + 3*t^5.5 + 2*t^5.63 + 2*t^5.75 + t^5.86 + t^5.88 + t^5.89 + t^5.98 - 3*t^6. - t^4.44/y - t^4.44*y | detail | |
| 46518 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3^2$ + $ M_1M_2$ + $ \phi_1q_2^2$ | 0.668 | 0.8316 | 0.8032 | [X:[], M:[0.8427, 1.1573, 1.0, 0.6854], q:[0.3876, 0.7697], qb:[0.4551, 0.5449], phi:[0.4607]] | t^2.06 + t^2.53 + t^2.76 + t^2.8 + t^3. + t^3.47 + t^3.67 + t^3.71 + t^3.91 + 2*t^4.11 + t^4.18 + t^4.38 + t^4.58 + t^4.65 + t^4.82 + t^4.85 + 2*t^5.06 + t^5.29 + t^5.33 + 2*t^5.53 + t^5.56 + t^5.6 + 2*t^5.76 + t^5.97 - t^6. - 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 |
|---|---|---|---|---|---|---|---|---|---|
| 45972 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3^2$ | 0.7407 | 0.9101 | 0.8139 | [X:[], M:[0.7195, 0.8597, 1.0, 0.8597], q:[0.6403, 0.6403], qb:[0.5, 0.5], phi:[0.4299]] | t^2.16 + 3*t^2.58 + t^3. + 2*t^3.42 + 3*t^4.29 + t^4.32 + 4*t^4.71 + 3*t^4.74 + 3*t^5.13 + 7*t^5.16 + t^5.58 - t^6. - t^4.29/y - t^4.29*y | detail |