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 |
|---|---|---|---|---|---|---|---|---|---|
| 48220 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_2^2$ + $ M_1M_6$ | 0.7195 | 0.8834 | 0.8145 | [X:[], M:[1.0073, 1.0, 0.9927, 0.8368, 0.844, 0.9927], q:[0.4184, 0.5744], qb:[0.5816, 0.5889], phi:[0.4592]] | [X:[], M:[[-2, 1], [0, 0], [2, -1], [-4, 0], [-6, 1], [2, -1]], q:[[-2, 0], [4, -1]], qb:[[2, 0], [0, 1]], phi:[[-1, 0]]] |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_5$, $ \phi_1^2$, $ M_3$, $ M_6$, $ M_2$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_4^2$, $ M_4M_5$, $ M_5^2$, $ M_4\phi_1^2$, $ M_5\phi_1^2$, $ M_3M_4$, $ M_4M_6$, $ M_2M_4$, $ M_3M_5$, $ M_5M_6$, $ \phi_1^4$, $ M_3\phi_1^2$, $ M_6\phi_1^2$, $ M_2\phi_1^2$, $ M_3^2$, $ M_3M_6$, $ M_6^2$ | . | t^2.51 + t^2.53 + t^2.76 + 2*t^2.98 + t^3. + t^3.51 + t^3.89 + t^4.36 + t^4.38 + t^4.4 + t^4.82 + t^4.85 + 2*t^4.87 + t^4.89 + t^4.91 + t^5.02 + t^5.04 + t^5.06 + t^5.27 + t^5.29 + t^5.49 + 3*t^5.51 + 2*t^5.73 + t^5.76 + 2*t^5.96 - 3*t^6. - t^6.02 + t^6.27 + t^6.4 + t^6.42 - t^6.47 + t^6.64 + 2*t^6.87 + 2*t^6.89 + t^6.91 + t^6.93 + t^7.02 + t^7.11 + t^7.15 + 2*t^7.33 + 2*t^7.36 + 2*t^7.38 + 2*t^7.4 + t^7.42 + t^7.44 + t^7.53 + t^7.55 + t^7.57 + t^7.58 + t^7.6 + t^7.62 + t^7.67 + 2*t^7.78 + 3*t^7.8 + 3*t^7.82 + 2*t^7.85 + t^7.87 + t^7.89 + t^7.91 + t^8. + 2*t^8.02 + 2*t^8.04 - t^8.07 - t^8.09 - 2*t^8.11 - t^8.13 - t^8.16 + 2*t^8.24 + 4*t^8.27 + t^8.29 + t^8.38 + t^8.4 + t^8.42 + t^8.47 + 2*t^8.49 - 3*t^8.51 - 4*t^8.53 - t^8.55 + 3*t^8.71 + t^8.73 - t^8.76 + t^8.8 + t^8.91 + 3*t^8.93 + t^8.95 - t^8.96 - 7*t^8.98 - t^4.38/y - t^6.89/y - t^6.91/y - t^7.13/y - t^7.36/y + t^7.4/y + t^7.62/y + t^7.85/y + t^7.87/y + t^8.04/y + t^8.27/y + t^8.29/y + (2*t^8.49)/y + (3*t^8.51)/y + t^8.53/y + (2*t^8.73)/y + t^8.76/y + t^8.96/y + (2*t^8.98)/y - t^4.38*y - t^6.89*y - t^6.91*y - t^7.13*y - t^7.36*y + t^7.4*y + t^7.62*y + t^7.85*y + t^7.87*y + t^8.04*y + t^8.27*y + t^8.29*y + 2*t^8.49*y + 3*t^8.51*y + t^8.53*y + 2*t^8.73*y + t^8.76*y + t^8.96*y + 2*t^8.98*y | t^2.51/g1^4 + (g2*t^2.53)/g1^6 + t^2.76/g1^2 + (2*g1^2*t^2.98)/g2 + t^3. + g1^2*g2*t^3.51 + t^3.89/g1^5 + (g1*t^4.36)/g2 + t^4.38/g1 + (g2*t^4.4)/g1^3 + (g1^7*t^4.82)/g2^2 + (g1^5*t^4.85)/g2 + 2*g1^3*t^4.87 + g1*g2*t^4.89 + (g2^2*t^4.91)/g1 + t^5.02/g1^8 + (g2*t^5.04)/g1^10 + (g2^2*t^5.06)/g1^12 + t^5.27/g1^6 + (g2*t^5.29)/g1^8 + t^5.49/(g1^2*g2) + (3*t^5.51)/g1^4 + (2*t^5.73)/g2 + t^5.76/g1^2 + (2*g1^4*t^5.96)/g2^2 - 3*t^6. - (g2*t^6.02)/g1^2 + g2*t^6.27 + t^6.4/g1^9 + (g2*t^6.42)/g1^11 - (g1^6*t^6.47)/g2 + t^6.64/g1^7 + (2*t^6.87)/(g1^3*g2) + (2*t^6.89)/g1^5 + (g2*t^6.91)/g1^7 + (g2^2*t^6.93)/g1^9 + g1^4*g2^2*t^7.02 + t^7.11/(g1*g2) + (g2*t^7.15)/g1^5 + (2*g1^3*t^7.33)/g2^2 + (2*g1*t^7.36)/g2 + (2*t^7.38)/g1 + (2*g2*t^7.4)/g1^3 + (g2^2*t^7.42)/g1^5 + (g2^3*t^7.44)/g1^7 + t^7.53/g1^12 + (g2*t^7.55)/g1^14 + (g2^2*t^7.57)/g1^16 + (g1^5*t^7.58)/g2^2 + (g2^3*t^7.6)/g1^18 + g1*t^7.62 + (g2^2*t^7.67)/g1^3 + (2*t^7.78)/g1^10 + (2*g1^9*t^7.8)/g2^3 + (g2*t^7.8)/g1^12 + (2*g1^7*t^7.82)/g2^2 + (g2^2*t^7.82)/g1^14 + (2*g1^5*t^7.85)/g2 + g1^3*t^7.87 + g1*g2*t^7.89 + (g2^2*t^7.91)/g1 + t^8./(g1^6*g2) + (2*t^8.02)/g1^8 + (2*g2*t^8.04)/g1^10 - (g1^9*t^8.07)/g2^2 - (g1^7*t^8.09)/g2 - 2*g1^5*t^8.11 - g1^3*g2*t^8.13 - g1*g2^2*t^8.16 + (2*t^8.24)/(g1^4*g2) + (4*t^8.27)/g1^6 + (g2*t^8.29)/g1^8 + g1^5*g2*t^8.38 + g1^3*g2^2*t^8.4 + g1*g2^3*t^8.42 + t^8.47/g2^2 + (2*t^8.49)/(g1^2*g2) - (3*t^8.51)/g1^4 - (4*g2*t^8.53)/g1^6 - (g2^2*t^8.55)/g1^8 + (3*g1^2*t^8.71)/g2^2 + t^8.73/g2 - t^8.76/g1^2 + (g2^2*t^8.8)/g1^6 + t^8.91/g1^13 + (2*g1^6*t^8.93)/g2^3 + (g2*t^8.93)/g1^15 + (g2^2*t^8.95)/g1^17 - (g1^4*t^8.96)/g2^2 - (7*g1^2*t^8.98)/g2 - t^4.38/(g1*y) - t^6.89/(g1^5*y) - (g2*t^6.91)/(g1^7*y) - t^7.13/(g1^3*y) - (g1*t^7.36)/(g2*y) + (g2*t^7.4)/(g1^3*y) + (g1*t^7.62)/y + (g1^5*t^7.85)/(g2*y) + (g1^3*t^7.87)/y + (g2*t^8.04)/(g1^10*y) + t^8.27/(g1^6*y) + (g2*t^8.29)/(g1^8*y) + (2*t^8.49)/(g1^2*g2*y) + (3*t^8.51)/(g1^4*y) + (g2*t^8.53)/(g1^6*y) + (2*t^8.73)/(g2*y) + t^8.76/(g1^2*y) + (g1^4*t^8.96)/(g2^2*y) + (2*g1^2*t^8.98)/(g2*y) - (t^4.38*y)/g1 - (t^6.89*y)/g1^5 - (g2*t^6.91*y)/g1^7 - (t^7.13*y)/g1^3 - (g1*t^7.36*y)/g2 + (g2*t^7.4*y)/g1^3 + g1*t^7.62*y + (g1^5*t^7.85*y)/g2 + g1^3*t^7.87*y + (g2*t^8.04*y)/g1^10 + (t^8.27*y)/g1^6 + (g2*t^8.29*y)/g1^8 + (2*t^8.49*y)/(g1^2*g2) + (3*t^8.51*y)/g1^4 + (g2*t^8.53*y)/g1^6 + (2*t^8.73*y)/g2 + (t^8.76*y)/g1^2 + (g1^4*t^8.96*y)/g2^2 + (2*g1^2*t^8.98*y)/g2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 54512 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_2^2$ + $ M_1M_6$ + $ M_5^2$ | 0.7024 | 0.8618 | 0.815 | [X:[], M:[1.0672, 1.0, 0.9328, 0.9328, 1.0, 0.9328], q:[0.4664, 0.4664], qb:[0.5336, 0.6008], phi:[0.4832]] | 3*t^2.8 + t^2.9 + 2*t^3. + t^3.4 + 3*t^4.25 + 2*t^4.45 + 3*t^4.65 + t^4.85 + t^5.05 + 4*t^5.6 + 3*t^5.7 + 4*t^5.8 + 2*t^5.9 - 3*t^6. - t^4.45/y - t^4.45*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46450 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_2^2$ | 0.7203 | 0.8855 | 0.8134 | [X:[], M:[0.9769, 1.0, 1.0231, 0.8402, 0.8171], q:[0.4201, 0.603], qb:[0.5799, 0.5568], phi:[0.4601]] | t^2.45 + t^2.52 + t^2.76 + t^2.93 + t^3. + t^3.07 + t^3.41 + t^3.9 + t^4.31 + t^4.38 + t^4.45 + t^4.72 + t^4.79 + 2*t^4.86 + t^4.9 + t^4.93 + t^4.97 + t^5. + t^5.04 + t^5.21 + t^5.28 + t^5.38 + t^5.45 + 2*t^5.52 + t^5.69 + t^5.76 + t^5.83 + t^5.86 - 2*t^6. - t^4.38/y - t^4.38*y | detail |