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 |
|---|---|---|---|---|---|---|---|---|---|
| 1794 | 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_5q_1\tilde{q}_1$ | 0.6282 | 0.8184 | 0.7676 | [X:[], M:[0.9772, 1.0683, 0.9772, 0.7228, 0.7684], q:[0.7443, 0.2785], qb:[0.4873, 0.4444], phi:[0.5114]] | [X:[], M:[[4, 4], [-12, -12], [4, 4], [-5, 7], [-13, -1]], 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 |
|---|---|---|---|---|
| $M_4$, $ q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ M_5$, $ M_1$, $ M_3$, $ M_2$, $ \phi_1q_2^2$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ M_4q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ \phi_1\tilde{q}_1^2$, $ M_4q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_4M_5$, $ M_5q_2\tilde{q}_2$, $ q_2^2\tilde{q}_1^2$, $ \phi_1q_1q_2$, $ M_5q_2\tilde{q}_1$, $ M_5^2$, $ M_1M_4$, $ M_3M_4$, $ \phi_1q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ M_3q_2\tilde{q}_1$, $ M_1M_5$, $ M_3M_5$, $ M_2M_4$, $ M_4\phi_1q_2^2$, $ \phi_1q_2^3\tilde{q}_2$, $ \phi_1q_2^3\tilde{q}_1$, $ M_2M_5$, $ M_5\phi_1q_2^2$, $ M_4q_1\tilde{q}_2$, $ q_1q_2\tilde{q}_2^2$, $ M_1^2$, $ M_1M_3$, $ M_3^2$, $ M_5q_1\tilde{q}_2$, $ M_4\phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2\tilde{q}_2^2$ | . | -3 | 2*t^2.17 + t^2.3 + t^2.31 + 2*t^2.93 + 2*t^3.2 + t^3.57 + t^3.7 + t^4.2 + t^4.33 + 3*t^4.34 + t^4.46 + 4*t^4.47 + t^4.59 + t^4.6 + t^4.61 + 4*t^5.1 + 2*t^5.23 + 2*t^5.24 + 3*t^5.37 + t^5.5 + 2*t^5.51 + 2*t^5.73 + 3*t^5.86 + 2*t^5.87 - 3*t^6. + t^6.01 - t^6.13 + 2*t^6.14 + 2*t^6.37 + 3*t^6.41 + 3*t^6.5 + 5*t^6.51 + 5*t^6.63 + 3*t^6.64 + 2*t^6.76 + 2*t^6.77 + 2*t^6.78 + t^6.89 - t^6.9 + 2*t^6.91 + t^6.92 - t^7.04 + 2*t^7.13 + t^7.26 + 6*t^7.27 + t^7.39 + t^7.4 + 5*t^7.41 + t^7.53 + 6*t^7.54 + t^7.67 + 3*t^7.68 + t^7.77 + t^7.8 + t^7.81 + 2*t^7.82 + 4*t^7.9 + 4*t^8.03 + 3*t^8.04 + t^8.16 - 4*t^8.17 + 2*t^8.18 - 5*t^8.3 + t^8.4 - 2*t^8.43 + 2*t^8.44 + t^8.53 + 3*t^8.54 + 4*t^8.58 + t^8.66 + 12*t^8.67 + 4*t^8.71 + t^8.79 + 9*t^8.8 + 5*t^8.81 + 2*t^8.92 - 7*t^8.93 + 4*t^8.94 + 3*t^8.95 - t^4.53/y - t^6.7/y - t^6.84/y + t^7.33/y + t^7.34/y + (3*t^7.47)/y + (2*t^7.6)/y - t^7.74/y + (4*t^8.1)/y + (3*t^8.23)/y + (2*t^8.24)/y + (5*t^8.37)/y + (2*t^8.5)/y + (2*t^8.51)/y + (2*t^8.73)/y + (2*t^8.86)/y + (2*t^8.87)/y - t^4.53*y - t^6.7*y - t^6.84*y + t^7.33*y + t^7.34*y + 3*t^7.47*y + 2*t^7.6*y - t^7.74*y + 4*t^8.1*y + 3*t^8.23*y + 2*t^8.24*y + 5*t^8.37*y + 2*t^8.5*y + 2*t^8.51*y + 2*t^8.73*y + 2*t^8.86*y + 2*t^8.87*y | (2*g2^7*t^2.17)/g1^5 + (g1^7*t^2.3)/g2^5 + t^2.31/(g1^13*g2) + 2*g1^4*g2^4*t^2.93 + (2*t^3.2)/(g1^12*g2^12) + g1*g2^13*t^3.57 + (g2^5*t^3.7)/g1^7 + (g2^22*t^4.2)/g1^2 + g1^10*g2^10*t^4.33 + (3*g2^14*t^4.34)/g1^10 + (g1^22*t^4.46)/g2^2 + 2*g1^2*g2^2*t^4.47 + (2*g2^6*t^4.47)/g1^18 + (g1^14*t^4.59)/g2^10 + t^4.6/(g1^6*g2^6) + t^4.61/(g1^26*g2^2) + (4*g2^11*t^5.1)/g1 + (2*g1^11*t^5.23)/g2 + (2*g2^3*t^5.24)/g1^9 + (3*t^5.37)/(g1^17*g2^5) + t^5.5/(g1^5*g2^17) + (2*t^5.51)/(g1^25*g2^13) + (2*g2^20*t^5.73)/g1^4 + 3*g1^8*g2^8*t^5.86 + (2*g2^12*t^5.87)/g1^12 - 3*t^6. + (g2^4*t^6.01)/g1^20 - (g1^12*t^6.13)/g2^12 + (2*t^6.14)/(g1^8*g2^8) + (2*g2^29*t^6.37)/g1^7 + (3*t^6.41)/(g1^24*g2^24) + 3*g1^5*g2^17*t^6.5 + (5*g2^21*t^6.51)/g1^15 + g1^17*g2^5*t^6.63 + (4*g2^9*t^6.63)/g1^3 + (3*g2^13*t^6.64)/g1^23 + (g1^29*t^6.76)/g2^7 + (g1^9*t^6.76)/g2^3 + (2*g2*t^6.77)/g1^11 + (2*g2^5*t^6.78)/g1^31 + (g1^21*t^6.89)/g2^15 - (g1*t^6.9)/g2^11 + (2*t^6.91)/(g1^19*g2^7) + t^6.92/(g1^39*g2^3) - t^7.04/(g1^7*g2^19) + 2*g1^2*g2^26*t^7.13 + g1^14*g2^14*t^7.26 + (6*g2^18*t^7.27)/g1^6 + g1^26*g2^2*t^7.39 + g1^6*g2^6*t^7.4 + (5*g2^10*t^7.41)/g1^14 + (g1^18*t^7.53)/g2^6 + (6*g2^2*t^7.54)/g1^22 + t^7.67/(g1^10*g2^10) + (3*t^7.68)/(g1^30*g2^6) + (g2^35*t^7.77)/g1 + (g1^2*t^7.8)/g2^22 + t^7.81/(g1^18*g2^18) + (2*t^7.82)/(g1^38*g2^14) + (4*g2^27*t^7.9)/g1^9 + 4*g1^3*g2^15*t^8.03 + (3*g2^19*t^8.04)/g1^17 + g1^15*g2^3*t^8.16 - (4*g2^7*t^8.17)/g1^5 + (2*g2^11*t^8.18)/g1^25 - (5*g1^7*t^8.3)/g2^5 - t^8.31/(g1^13*g2) + (g2^3*t^8.31)/g1^33 + (g2^44*t^8.4)/g1^4 - (g1^19*t^8.43)/g2^17 - t^8.43/(g1*g2^13) + (2*t^8.44)/(g1^21*g2^9) + g1^8*g2^32*t^8.53 + (3*g2^36*t^8.54)/g1^12 + (4*t^8.58)/(g1^29*g2^17) + g1^20*g2^20*t^8.66 + 5*g2^24*t^8.67 + (7*g2^28*t^8.67)/g1^20 + t^8.71/(g1^17*g2^29) + (3*t^8.71)/(g1^37*g2^25) + g1^32*g2^8*t^8.79 + 4*g1^12*g2^12*t^8.8 + (5*g2^16*t^8.8)/g1^8 + (5*g2^20*t^8.81)/g1^28 + g1^24*t^8.92 + (g1^44*t^8.92)/g2^4 - 7*g1^4*g2^4*t^8.93 + (4*g2^8*t^8.94)/g1^16 + (3*g2^12*t^8.95)/g1^36 - t^4.53/(g1^2*g2^2*y) - (g2^5*t^6.7)/(g1^7*y) - t^6.84/(g1^15*g2^3*y) + (g1^10*g2^10*t^7.33)/y + (g2^14*t^7.34)/(g1^10*y) + (g1^2*g2^2*t^7.47)/y + (2*g2^6*t^7.47)/(g1^18*y) + (2*t^7.6)/(g1^6*g2^6*y) - t^7.74/(g1^14*g2^14*y) + (4*g2^11*t^8.1)/(g1*y) + (3*g1^11*t^8.23)/(g2*y) + (2*g2^3*t^8.24)/(g1^9*y) + (g1^3*t^8.37)/(g2^9*y) + (4*t^8.37)/(g1^17*g2^5*y) + (2*t^8.5)/(g1^5*g2^17*y) + (2*t^8.51)/(g1^25*g2^13*y) + (2*g2^20*t^8.73)/(g1^4*y) + (2*g1^8*g2^8*t^8.86)/y + (2*g2^12*t^8.87)/(g1^12*y) - (t^4.53*y)/(g1^2*g2^2) - (g2^5*t^6.7*y)/g1^7 - (t^6.84*y)/(g1^15*g2^3) + g1^10*g2^10*t^7.33*y + (g2^14*t^7.34*y)/g1^10 + g1^2*g2^2*t^7.47*y + (2*g2^6*t^7.47*y)/g1^18 + (2*t^7.6*y)/(g1^6*g2^6) - (t^7.74*y)/(g1^14*g2^14) + (4*g2^11*t^8.1*y)/g1 + (3*g1^11*t^8.23*y)/g2 + (2*g2^3*t^8.24*y)/g1^9 + (g1^3*t^8.37*y)/g2^9 + (4*t^8.37*y)/(g1^17*g2^5) + (2*t^8.5*y)/(g1^5*g2^17) + (2*t^8.51*y)/(g1^25*g2^13) + (2*g2^20*t^8.73*y)/g1^4 + 2*g1^8*g2^8*t^8.86*y + (2*g2^12*t^8.87*y)/g1^12 |
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 |
|---|---|---|---|---|---|---|---|---|
| 2805 | $M_1q_1q_2$ + $ 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_5q_1\tilde{q}_1$ + $ M_2M_5$ | 0.6215 | 0.8097 | 0.7675 | [X:[], M:[0.9461, 1.1616, 0.9461, 0.7307, 0.8384], q:[0.7365, 0.3173], qb:[0.4251, 0.4134], phi:[0.5269]] | 2*t^2.19 + t^2.23 + t^2.52 + 2*t^2.84 + t^3.45 + 2*t^3.48 + t^3.77 + t^4.06 + t^4.1 + t^4.13 + 3*t^4.38 + 2*t^4.42 + t^4.45 + 2*t^4.71 + t^4.74 + 5*t^5.03 + 2*t^5.07 + 2*t^5.35 + 2*t^5.64 + 6*t^5.68 + t^5.71 + 2*t^5.96 - t^6. - t^4.58/y - t^4.58*y | detail | |
| 2806 | $M_1q_1q_2$ + $ 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_5q_1\tilde{q}_1$ + $ M_6q_1\tilde{q}_2$ | 0.6449 | 0.8469 | 0.7615 | [X:[], M:[0.985, 1.0449, 0.985, 0.7379, 0.7678, 0.7846], q:[0.7463, 0.2687], qb:[0.4859, 0.4692], phi:[0.5075]] | 2*t^2.21 + t^2.26 + t^2.3 + t^2.35 + 2*t^2.96 + 2*t^3.13 + t^3.74 + t^4.34 + t^4.39 + 3*t^4.43 + t^4.44 + 2*t^4.48 + 2*t^4.52 + t^4.53 + 3*t^4.57 + t^4.61 + t^4.62 + t^4.66 + t^4.71 + 4*t^5.17 + 2*t^5.22 + 2*t^5.26 + 2*t^5.31 + 3*t^5.35 + t^5.4 + 2*t^5.44 + 2*t^5.49 + 2*t^5.91 + t^5.95 - 3*t^6. - t^4.52/y - t^4.52*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 |