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 |
|---|---|---|---|---|---|---|---|---|---|
| 548 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ | 0.6298 | 0.8212 | 0.7669 | [X:[], M:[0.9687, 1.094, 0.9687, 0.7422, 0.7422], q:[0.7422, 0.2892], qb:[0.453, 0.453], phi:[0.5157]] | [X:[], M:[[4, 4], [-12, -12], [4, 4], [-5, 7], [7, -5]], 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 |
|---|---|---|---|---|
| $M_5$, $ q_2\tilde{q}_1$, $ M_4$, $ q_2\tilde{q}_2$, $ M_1$, $ M_3$, $ M_2$, $ \phi_1q_2^2$, $ q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_5^2$, $ M_5q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ M_4M_5$, $ M_4q_2\tilde{q}_1$, $ M_5q_2\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ M_4q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_1M_5$, $ M_3M_5$, $ \phi_1q_1\tilde{q}_1$, $ M_3q_2\tilde{q}_1$, $ M_1M_4$, $ M_3M_4$, $ \phi_1q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ M_2M_5$, $ M_5\phi_1q_2^2$, $ \phi_1q_2^3\tilde{q}_1$, $ M_2M_4$, $ M_4\phi_1q_2^2$, $ \phi_1q_2^3\tilde{q}_2$, $ M_5q_1\tilde{q}_1$, $ q_1q_2\tilde{q}_1^2$, $ M_1^2$, $ M_1M_3$, $ M_3^2$, $ M_4q_1\tilde{q}_1$, $ M_5q_1\tilde{q}_2$, $ q_1q_2\tilde{q}_1\tilde{q}_2$, $ M_4q_1\tilde{q}_2$, $ q_1q_2\tilde{q}_2^2$ | . | -6 | 4*t^2.23 + 2*t^2.91 + 2*t^3.28 + 2*t^3.59 + 3*t^4.26 + 10*t^4.45 + 8*t^5.13 + 6*t^5.51 + 10*t^5.81 - 6*t^6. + 2*t^6.19 + 12*t^6.49 + 3*t^6.56 + 16*t^6.68 - 2*t^7.06 + 6*t^7.17 + 15*t^7.36 - 2*t^7.55 + 12*t^7.74 + 4*t^7.85 + 22*t^8.04 - 24*t^8.23 + 4*t^8.41 + 5*t^8.53 + 32*t^8.72 + 8*t^8.79 + 8*t^8.91 - t^4.55/y - (2*t^6.77)/y + t^7.26/y + (5*t^7.45)/y + t^7.64/y - t^7.83/y + (8*t^8.13)/y + (2*t^8.32)/y + (8*t^8.51)/y + (9*t^8.81)/y - t^4.55*y - 2*t^6.77*y + t^7.26*y + 5*t^7.45*y + t^7.64*y - t^7.83*y + 8*t^8.13*y + 2*t^8.32*y + 8*t^8.51*y + 9*t^8.81*y | (2*g1^7*t^2.23)/g2^5 + (2*g2^7*t^2.23)/g1^5 + 2*g1^4*g2^4*t^2.91 + (2*t^3.28)/(g1^12*g2^12) + g1^13*g2*t^3.59 + g1*g2^13*t^3.59 + (g1^22*t^4.26)/g2^2 + g1^10*g2^10*t^4.26 + (g2^22*t^4.26)/g1^2 + (3*g1^14*t^4.45)/g2^10 + 4*g1^2*g2^2*t^4.45 + (3*g2^14*t^4.45)/g1^10 + (4*g1^11*t^5.13)/g2 + (4*g2^11*t^5.13)/g1 + (3*t^5.51)/(g1^5*g2^17) + (3*t^5.51)/(g1^17*g2^5) + (2*g1^20*t^5.81)/g2^4 + 6*g1^8*g2^8*t^5.81 + (2*g2^20*t^5.81)/g1^4 - 4*t^6. - (g1^12*t^6.)/g2^12 - (g2^12*t^6.)/g1^12 + (2*t^6.19)/(g1^8*g2^8) + (2*g1^29*t^6.49)/g2^7 + 4*g1^17*g2^5*t^6.49 + 4*g1^5*g2^17*t^6.49 + (2*g2^29*t^6.49)/g1^7 + (3*t^6.56)/(g1^24*g2^24) + (4*g1^21*t^6.68)/g2^15 + (4*g1^9*t^6.68)/g2^3 + (4*g2^9*t^6.68)/g1^3 + (4*g2^21*t^6.68)/g1^15 - t^7.06/(g1^7*g2^19) - t^7.06/(g1^19*g2^7) + 2*g1^26*g2^2*t^7.17 + 2*g1^14*g2^14*t^7.17 + 2*g1^2*g2^26*t^7.17 + (5*g1^18*t^7.36)/g2^6 + 5*g1^6*g2^6*t^7.36 + (5*g2^18*t^7.36)/g1^6 - (2*t^7.55)/(g1^2*g2^2) + (4*g1^2*t^7.74)/g2^22 + (4*t^7.74)/(g1^10*g2^10) + (4*g2^2*t^7.74)/g1^22 + (g1^35*t^7.85)/g2 + g1^23*g2^11*t^7.85 + g1^11*g2^23*t^7.85 + (g2^35*t^7.85)/g1 + (3*g1^27*t^8.04)/g2^9 + 8*g1^15*g2^3*t^8.04 + 8*g1^3*g2^15*t^8.04 + (3*g2^27*t^8.04)/g1^9 - (2*g1^19*t^8.23)/g2^17 - (10*g1^7*t^8.23)/g2^5 - (10*g2^7*t^8.23)/g1^5 - (2*g2^19*t^8.23)/g1^17 + (2*t^8.41)/(g1*g2^13) + (2*t^8.41)/(g1^13*g2) + (g1^44*t^8.53)/g2^4 + g1^32*g2^8*t^8.53 + g1^20*g2^20*t^8.53 + g1^8*g2^32*t^8.53 + (g2^44*t^8.53)/g1^4 + 7*g1^24*t^8.72 + (3*g1^36*t^8.72)/g2^12 + 12*g1^12*g2^12*t^8.72 + 7*g2^24*t^8.72 + (3*g2^36*t^8.72)/g1^12 + (4*t^8.79)/(g1^17*g2^29) + (4*t^8.79)/(g1^29*g2^17) + (5*g1^28*t^8.91)/g2^20 + (2*g1^16*t^8.91)/g2^8 - 6*g1^4*g2^4*t^8.91 + (2*g2^16*t^8.91)/g1^8 + (5*g2^28*t^8.91)/g1^20 - t^4.55/(g1^2*g2^2*y) - (g1^5*t^6.77)/(g2^7*y) - (g2^5*t^6.77)/(g1^7*y) + (g1^10*g2^10*t^7.26)/y + (g1^14*t^7.45)/(g2^10*y) + (3*g1^2*g2^2*t^7.45)/y + (g2^14*t^7.45)/(g1^10*y) + t^7.64/(g1^6*g2^6*y) - t^7.83/(g1^14*g2^14*y) + (4*g1^11*t^8.13)/(g2*y) + (4*g2^11*t^8.13)/(g1*y) + (g1^3*t^8.32)/(g2^9*y) + (g2^3*t^8.32)/(g1^9*y) + (4*t^8.51)/(g1^5*g2^17*y) + (4*t^8.51)/(g1^17*g2^5*y) + (2*g1^20*t^8.81)/(g2^4*y) + (5*g1^8*g2^8*t^8.81)/y + (2*g2^20*t^8.81)/(g1^4*y) - (t^4.55*y)/(g1^2*g2^2) - (g1^5*t^6.77*y)/g2^7 - (g2^5*t^6.77*y)/g1^7 + g1^10*g2^10*t^7.26*y + (g1^14*t^7.45*y)/g2^10 + 3*g1^2*g2^2*t^7.45*y + (g2^14*t^7.45*y)/g1^10 + (t^7.64*y)/(g1^6*g2^6) - (t^7.83*y)/(g1^14*g2^14) + (4*g1^11*t^8.13*y)/g2 + (4*g2^11*t^8.13*y)/g1 + (g1^3*t^8.32*y)/g2^9 + (g2^3*t^8.32*y)/g1^9 + (4*t^8.51*y)/(g1^5*g2^17) + (4*t^8.51*y)/(g1^17*g2^5) + (2*g1^20*t^8.81*y)/g2^4 + 5*g1^8*g2^8*t^8.81*y + (2*g2^20*t^8.81*y)/g1^4 |
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 |
|---|---|---|---|---|---|---|---|---|
| 1907 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_6q_1\tilde{q}_1$ | 0.6468 | 0.851 | 0.76 | [X:[], M:[0.9767, 1.07, 0.9767, 0.7324, 0.7559, 0.7791], q:[0.7442, 0.2792], qb:[0.4768, 0.4533], phi:[0.5117]] | 2*t^2.2 + 2*t^2.27 + t^2.34 + 2*t^2.93 + 2*t^3.21 + t^3.59 + t^4.25 + t^4.33 + 3*t^4.39 + t^4.4 + 4*t^4.47 + 2*t^4.53 + 3*t^4.54 + 2*t^4.6 + t^4.67 + 4*t^5.13 + 4*t^5.2 + 2*t^5.27 + 3*t^5.41 + 3*t^5.48 + 2*t^5.55 + 2*t^5.79 + 4*t^5.86 - 4*t^6. - t^4.53/y - t^4.53*y | detail | |
| 1906 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ q_1q_2\tilde{q}_2^2$ | 0.6282 | 0.8185 | 0.7675 | [X:[], M:[0.9776, 1.0673, 0.9776, 0.7668, 0.7219], q:[0.7444, 0.2781], qb:[0.4439, 0.4888], phi:[0.5112]] | 2*t^2.17 + 2*t^2.3 + 2*t^2.93 + 2*t^3.2 + t^3.56 + t^3.7 + t^4.2 + 4*t^4.33 + 5*t^4.47 + 3*t^4.6 + 4*t^5.1 + 4*t^5.23 + 3*t^5.37 + 3*t^5.5 + 2*t^5.73 + 5*t^5.87 - 2*t^6. - t^4.53/y - t^4.53*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 |
|---|---|---|---|---|---|---|---|---|---|
| 346 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ | 0.6106 | 0.7864 | 0.7765 | [X:[], M:[0.9696, 1.0912, 0.9696, 0.7332], q:[0.7424, 0.288], qb:[0.4636, 0.4453], phi:[0.5152]] | 2*t^2.2 + t^2.25 + 2*t^2.91 + 2*t^3.27 + t^3.56 + t^3.62 + t^3.75 + t^4.22 + t^4.27 + t^4.33 + 3*t^4.4 + 2*t^4.45 + t^4.51 + 4*t^5.11 + 2*t^5.16 + 3*t^5.47 + t^5.53 + 2*t^5.76 + 5*t^5.82 + t^5.87 + t^5.95 - 3*t^6. - t^4.55/y - t^4.55*y | detail |