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 |
|---|---|---|---|---|---|---|---|---|---|
| 46303 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_1\phi_1^2$ + $ M_4\phi_1q_2^2$ | 0.6388 | 0.8344 | 0.7656 | [X:[], M:[0.9571, 0.8251, 0.8251, 0.8713], q:[0.7393, 0.3036], qb:[0.4357, 0.4357], phi:[0.5214]] | [X:[], M:[[4, 4], [-13, -1], [-1, -13], [12, 12]], q:[[1, 1], [-5, -5]], qb:[[12, 0], [0, 12]], phi:[[-2, -2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $q_2\tilde{q}_1$, $ q_2\tilde{q}_2$, $ M_3$, $ M_2$, $ M_4$, $ \tilde{q}_1\tilde{q}_2$, $ M_1$, $ \phi_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_2^2\tilde{q}_1^2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_3q_2\tilde{q}_1$, $ \phi_1q_1q_2$, $ M_2q_2\tilde{q}_1$, $ M_3q_2\tilde{q}_2$, $ M_2q_2\tilde{q}_2$, $ M_4q_2\tilde{q}_1$, $ q_2\tilde{q}_1^2\tilde{q}_2$, $ M_4q_2\tilde{q}_2$, $ q_2\tilde{q}_1\tilde{q}_2^2$, $ M_3^2$, $ M_2M_3$, $ M_2^2$, $ M_3M_4$, $ \phi_1q_1\tilde{q}_1$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_2M_4$, $ \phi_1q_1\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_1M_3$, $ \phi_1^2q_2\tilde{q}_1$, $ M_1M_2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_1M_4$, $ M_1\tilde{q}_1\tilde{q}_2$, $ M_1^2$, $ M_4\phi_1^2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$ | $\phi_1q_2^2\tilde{q}_1^2$, $ \phi_1q_2^2\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2\tilde{q}_2^2$ | -1 | 2*t^2.22 + 2*t^2.48 + 2*t^2.61 + t^2.87 + t^3.13 + 2*t^3.78 + 3*t^4.18 + 3*t^4.44 + 4*t^4.69 + 4*t^4.83 + 3*t^4.95 + 6*t^5.09 + 3*t^5.23 + 4*t^5.35 + 2*t^5.49 + 2*t^5.74 - t^6. + 3*t^6.26 + 6*t^6.4 + 8*t^6.65 + 6*t^6.79 + 4*t^6.91 + 6*t^7.05 + 4*t^7.17 + 9*t^7.31 + 4*t^7.43 + 6*t^7.45 + 8*t^7.56 + 8*t^7.7 + 3*t^7.82 + 4*t^7.84 + 8*t^7.96 - t^8.08 + 3*t^8.1 - 4*t^8.22 + 8*t^8.36 - 6*t^8.48 - t^8.61 + 2*t^8.73 + 6*t^8.87 - t^4.56/y - (2*t^7.04)/y - t^7.18/y + t^7.44/y + (4*t^7.69)/y + (4*t^7.83)/y + (2*t^7.95)/y + (8*t^8.09)/y + t^8.23/y + (4*t^8.35)/y + (2*t^8.49)/y + (2*t^8.6)/y + (2*t^8.74)/y - t^4.56*y - 2*t^7.04*y - t^7.18*y + t^7.44*y + 4*t^7.69*y + 4*t^7.83*y + 2*t^7.95*y + 8*t^8.09*y + t^8.23*y + 4*t^8.35*y + 2*t^8.49*y + 2*t^8.6*y + 2*t^8.74*y | (g1^7*t^2.22)/g2^5 + (g2^7*t^2.22)/g1^5 + t^2.48/(g1*g2^13) + t^2.48/(g1^13*g2) + 2*g1^12*g2^12*t^2.61 + g1^4*g2^4*t^2.87 + t^3.13/(g1^4*g2^4) + (g1^5*t^3.78)/g2^7 + (g2^5*t^3.78)/g1^7 + (g1^22*t^4.18)/g2^2 + g1^10*g2^10*t^4.18 + (g2^22*t^4.18)/g1^2 + (g1^14*t^4.44)/g2^10 + g1^2*g2^2*t^4.44 + (g2^14*t^4.44)/g1^10 + (g1^6*t^4.69)/g2^18 + (2*t^4.69)/(g1^6*g2^6) + (g2^6*t^4.69)/g1^18 + 2*g1^19*g2^7*t^4.83 + 2*g1^7*g2^19*t^4.83 + t^4.95/(g1^2*g2^26) + t^4.95/(g1^14*g2^14) + t^4.95/(g1^26*g2^2) + (3*g1^11*t^5.09)/g2 + (3*g2^11*t^5.09)/g1 + 3*g1^24*g2^24*t^5.23 + (2*g1^3*t^5.35)/g2^9 + (2*g2^3*t^5.35)/g1^9 + 2*g1^16*g2^16*t^5.49 + 2*g1^8*g2^8*t^5.74 - t^6. + (g1^4*t^6.26)/g2^20 + t^6.26/(g1^8*g2^8) + (g2^4*t^6.26)/g1^20 + (g1^29*t^6.4)/g2^7 + 2*g1^17*g2^5*t^6.4 + 2*g1^5*g2^17*t^6.4 + (g2^29*t^6.4)/g1^7 + (2*g1^21*t^6.65)/g2^15 + (2*g1^9*t^6.65)/g2^3 + (2*g2^9*t^6.65)/g1^3 + (2*g2^21*t^6.65)/g1^15 + 2*g1^34*g2^10*t^6.79 + 2*g1^22*g2^22*t^6.79 + 2*g1^10*g2^34*t^6.79 + (g1^13*t^6.91)/g2^23 + (g1*t^6.91)/g2^11 + (g2*t^6.91)/g1^11 + (g2^13*t^6.91)/g1^23 + 2*g1^26*g2^2*t^7.05 + 2*g1^14*g2^14*t^7.05 + 2*g1^2*g2^26*t^7.05 + (g1^5*t^7.17)/g2^31 + t^7.17/(g1^7*g2^19) + t^7.17/(g1^19*g2^7) + (g2^5*t^7.17)/g1^31 + (3*g1^18*t^7.31)/g2^6 + 3*g1^6*g2^6*t^7.31 + (3*g2^18*t^7.31)/g1^6 + t^7.43/(g1^3*g2^39) + t^7.43/(g1^15*g2^27) + t^7.43/(g1^27*g2^15) + t^7.43/(g1^39*g2^3) + 3*g1^31*g2^19*t^7.45 + 3*g1^19*g2^31*t^7.45 + (3*g1^10*t^7.56)/g2^14 + (2*t^7.56)/(g1^2*g2^2) + (3*g2^10*t^7.56)/g1^14 + 4*g1^23*g2^11*t^7.7 + 4*g1^11*g2^23*t^7.7 + (g1^2*t^7.82)/g2^22 + t^7.82/(g1^10*g2^10) + (g2^2*t^7.82)/g1^22 + 4*g1^36*g2^36*t^7.84 + (g1^27*t^7.96)/g2^9 + 3*g1^15*g2^3*t^7.96 + 3*g1^3*g2^15*t^7.96 + (g2^27*t^7.96)/g1^9 - t^8.08/(g1^18*g2^18) + 3*g1^28*g2^28*t^8.1 - (2*g1^7*t^8.22)/g2^5 - (2*g2^7*t^8.22)/g1^5 + (g1^44*t^8.36)/g2^4 + g1^32*g2^8*t^8.36 + 4*g1^20*g2^20*t^8.36 + g1^8*g2^32*t^8.36 + (g2^44*t^8.36)/g1^4 - (3*t^8.48)/(g1*g2^13) - (3*t^8.48)/(g1^13*g2) + (g1^36*t^8.61)/g2^12 - 3*g1^12*g2^12*t^8.61 + (g2^36*t^8.61)/g1^12 + (g1^3*t^8.73)/g2^33 + (g2^3*t^8.73)/g1^33 + (2*g1^28*t^8.87)/g2^20 + (2*g1^16*t^8.87)/g2^8 - 2*g1^4*g2^4*t^8.87 + (2*g2^16*t^8.87)/g1^8 + (2*g2^28*t^8.87)/g1^20 - t^4.56/(g1^2*g2^2*y) - t^7.04/(g1^3*g2^15*y) - t^7.04/(g1^15*g2^3*y) - (g1^10*g2^10*t^7.18)/y + (g1^2*g2^2*t^7.44)/y + (g1^6*t^7.69)/(g2^18*y) + (2*t^7.69)/(g1^6*g2^6*y) + (g2^6*t^7.69)/(g1^18*y) + (2*g1^19*g2^7*t^7.83)/y + (2*g1^7*g2^19*t^7.83)/y + (2*t^7.95)/(g1^14*g2^14*y) + (4*g1^11*t^8.09)/(g2*y) + (4*g2^11*t^8.09)/(g1*y) + (g1^24*g2^24*t^8.23)/y + (2*g1^3*t^8.35)/(g2^9*y) + (2*g2^3*t^8.35)/(g1^9*y) + (2*g1^16*g2^16*t^8.49)/y + t^8.6/(g1^5*g2^17*y) + t^8.6/(g1^17*g2^5*y) + (2*g1^8*g2^8*t^8.74)/y - (t^4.56*y)/(g1^2*g2^2) - (t^7.04*y)/(g1^3*g2^15) - (t^7.04*y)/(g1^15*g2^3) - g1^10*g2^10*t^7.18*y + g1^2*g2^2*t^7.44*y + (g1^6*t^7.69*y)/g2^18 + (2*t^7.69*y)/(g1^6*g2^6) + (g2^6*t^7.69*y)/g1^18 + 2*g1^19*g2^7*t^7.83*y + 2*g1^7*g2^19*t^7.83*y + (2*t^7.95*y)/(g1^14*g2^14) + (4*g1^11*t^8.09*y)/g2 + (4*g2^11*t^8.09*y)/g1 + g1^24*g2^24*t^8.23*y + (2*g1^3*t^8.35*y)/g2^9 + (2*g2^3*t^8.35*y)/g1^9 + 2*g1^16*g2^16*t^8.49*y + (t^8.6*y)/(g1^5*g2^17) + (t^8.6*y)/(g1^17*g2^5) + 2*g1^8*g2^8*t^8.74*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 |
|---|---|---|---|---|---|---|---|---|
| 46368 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_1\phi_1^2$ + $ M_4\phi_1q_2^2$ + $ M_5\phi_1q_2\tilde{q}_2$ | 0.6584 | 0.8708 | 0.7561 | [X:[], M:[0.9566, 0.8334, 0.8184, 0.8699, 0.7317], q:[0.7392, 0.3042], qb:[0.4274, 0.4424], phi:[0.5217]] | 2*t^2.19 + t^2.24 + t^2.46 + t^2.5 + 2*t^2.61 + t^2.87 + t^3.13 + t^3.76 + t^4.13 + t^4.17 + t^4.22 + 3*t^4.39 + 2*t^4.43 + t^4.48 + 2*t^4.65 + 3*t^4.7 + t^4.74 + 4*t^4.8 + 2*t^4.85 + t^4.91 + t^4.96 + t^5. + 4*t^5.06 + 3*t^5.11 + 3*t^5.22 + 3*t^5.33 + 2*t^5.37 + 2*t^5.48 + 2*t^5.74 + t^5.96 - 2*t^6. - t^4.57/y - t^4.57*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 |
|---|---|---|---|---|---|---|---|---|---|
| 45983 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_1\phi_1^2$ | 0.6293 | 0.8168 | 0.7704 | [X:[], M:[0.9733, 0.7967, 0.7967], q:[0.7433, 0.2834], qb:[0.4599, 0.4599], phi:[0.5134]] | 2*t^2.23 + 2*t^2.39 + t^2.76 + t^2.92 + t^3.08 + t^3.24 + 2*t^3.77 + 3*t^4.3 + 3*t^4.46 + 4*t^4.62 + 3*t^4.78 + 2*t^4.99 + 4*t^5.15 + 4*t^5.31 + 2*t^5.47 + t^5.52 + 2*t^5.63 + t^5.68 + t^5.84 - t^4.54/y - t^4.54*y | detail |