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 |
|---|---|---|---|---|---|---|---|---|---|
| 533 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_3M_5$ + $ M_3M_6$ | 0.7195 | 0.8802 | 0.8175 | [X:[], M:[0.7932, 1.0909, 1.0251, 0.8434, 0.9749, 0.9749], q:[0.6405, 0.5664], qb:[0.5161, 0.4588], phi:[0.4546]] | [X:[], M:[[-4, 1, 8], [2, 0, -2], [0, -1, -4], [-4, -1, 0], [0, 1, 4], [0, 1, 4]], q:[[4, 0, 0], [0, -1, -8]], qb:[[0, 1, 0], [0, 0, 4]], phi:[[-1, 0, 1]]] | 3 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ M_4$, $ M_5$, $ M_6$, $ q_2\tilde{q}_1$, $ M_2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_2^2$, $ M_1^2$, $ \phi_1q_1\tilde{q}_1$, $ M_1M_4$, $ \phi_1q_1q_2$, $ M_4^2$, $ \phi_1q_1^2$, $ M_1M_5$, $ M_1M_6$, $ M_4M_5$, $ M_4M_6$, $ M_1M_2$, $ M_2M_4$, $ M_5^2$, $ M_5M_6$, $ M_6^2$ | . | -4 | t^2.38 + t^2.53 + 2*t^2.92 + t^3.25 + t^3.27 + t^3.3 + t^4.12 + t^4.29 + t^4.44 + t^4.46 + t^4.61 + t^4.66 + 2*t^4.76 + t^4.83 + t^4.91 + t^4.98 + t^5.06 + t^5.21 + 2*t^5.3 + t^5.45 + t^5.65 + t^5.8 + 2*t^5.85 - 4*t^6. - t^6.15 + t^6.17 + 2*t^6.2 + t^6.22 - t^6.32 - t^6.37 + t^6.49 + t^6.5 + t^6.52 + t^6.57 + t^6.6 + t^6.65 + t^6.67 + t^6.82 + t^6.84 + t^6.97 + t^6.99 + 2*t^7.04 + 2*t^7.14 + 2*t^7.21 + 2*t^7.29 + t^7.36 + 2*t^7.38 + t^7.41 + t^7.44 + t^7.54 + 3*t^7.59 + 2*t^7.68 + t^7.69 + t^7.71 + 2*t^7.76 + t^7.83 + t^7.86 + t^7.96 + t^7.99 + t^8.01 + t^8.03 + 2*t^8.13 + t^8.18 - t^8.21 + 3*t^8.23 + t^8.33 - 3*t^8.38 + t^8.4 + t^8.5 - 4*t^8.53 - t^8.55 + t^8.56 + 3*t^8.58 - t^8.68 - t^8.7 + 2*t^8.73 - t^8.75 + 2*t^8.77 + t^8.78 - t^8.85 + 2*t^8.88 + t^8.9 - 7*t^8.92 + t^8.95 - t^4.36/y - t^6.74/y - t^6.89/y - t^7.29/y + t^7.44/y + t^7.83/y + t^7.91/y + t^7.98/y + (2*t^8.3)/y + (2*t^8.45)/y + t^8.63/y + t^8.65/y + t^8.68/y + t^8.78/y + t^8.8/y + t^8.83/y + t^8.85/y - t^4.36*y - t^6.74*y - t^6.89*y - t^7.29*y + t^7.44*y + t^7.83*y + t^7.91*y + t^7.98*y + 2*t^8.3*y + 2*t^8.45*y + t^8.63*y + t^8.65*y + t^8.68*y + t^8.78*y + t^8.8*y + t^8.83*y + t^8.85*y | (g2*g3^8*t^2.38)/g1^4 + t^2.53/(g1^4*g2) + 2*g2*g3^4*t^2.92 + t^3.25/g3^8 + (g1^2*t^3.27)/g3^2 + g1^4*g3^4*t^3.3 + (g3^9*t^4.12)/g1 + (g2*g3^5*t^4.29)/g1 + t^4.44/(g1*g2*g3^3) + (g2^2*g3*t^4.46)/g1 + t^4.61/(g1*g3^7) + g1^3*g3^5*t^4.66 + t^4.76/(g1*g2^2*g3^15) + (g2^2*g3^16*t^4.76)/g1^8 + g1^3*g2*g3*t^4.83 + (g3^8*t^4.91)/g1^8 + (g1^3*t^4.98)/(g2*g3^7) + t^5.06/(g1^8*g2^2) + g1^7*g3*t^5.21 + (2*g2^2*g3^12*t^5.3)/g1^4 + (g3^4*t^5.45)/g1^4 + (g2*g3^6*t^5.65)/g1^2 + t^5.8/(g1^2*g2*g3^2) + 2*g2^2*g3^8*t^5.85 - 4*t^6. - t^6.15/(g2^2*g3^8) + (g2*t^6.17)/g3^4 + 2*g1^2*g2*g3^2*t^6.2 + g1^4*g2*g3^8*t^6.22 - t^6.32/(g2*g3^12) - (g1^4*t^6.37)/g2 + t^6.49/g3^16 + (g2*g3^17*t^6.5)/g1^5 + (g1^2*t^6.52)/g3^10 + g1^6*g3^2*t^6.57 + g1^8*g3^8*t^6.6 + (g3^9*t^6.65)/(g1^5*g2) + (g2^2*g3^13*t^6.67)/g1^5 + (g3^5*t^6.82)/g1^5 + (g2^3*g3^9*t^6.84)/g1^5 + t^6.97/(g1^5*g2^2*g3^3) + (g2*g3*t^6.99)/g1^5 + (2*g2*g3^13*t^7.04)/g1 + t^7.14/(g1^5*g2*g3^7) + (g2^3*g3^24*t^7.14)/g1^12 + (2*g2^2*g3^9*t^7.21)/g1 + t^7.29/(g1^5*g2^3*g3^15) + (g2*g3^16*t^7.29)/g1^12 + (g3*t^7.36)/g1 + (2*g2^3*g3^5*t^7.38)/g1 + g1^3*g3^13*t^7.41 + (g3^8*t^7.44)/(g1^12*g2) + (g2*t^7.54)/(g1*g3^3) + t^7.59/(g1^12*g2^3) + 2*g1^3*g2*g3^9*t^7.59 + (2*g2^3*g3^20*t^7.68)/g1^8 + t^7.69/(g1*g2*g3^11) + (g2^2*t^7.71)/(g1*g3^7) + 2*g1^3*g2^2*g3^5*t^7.76 + (g2*g3^12*t^7.83)/g1^8 + t^7.86/(g1*g3^15) + g1^7*g3^9*t^7.96 + (g3^4*t^7.99)/(g1^8*g2) + t^8.01/(g1*g2^2*g3^23) + (g2^2*g3^14*t^8.03)/g1^6 + 2*g1^7*g2*g3^5*t^8.13 + (g3^6*t^8.18)/g1^6 - (g3^12*t^8.21)/g1^4 + (2*g2^3*g3^16*t^8.23)/g1^4 + (g3^18*t^8.23)/g1^2 + t^8.33/(g1^6*g2^2*g3^2) - (3*g2*g3^8*t^8.38)/g1^4 + (g2*g3^14*t^8.4)/g1^2 + g1^11*g3^5*t^8.5 - (4*t^8.53)/(g1^4*g2) - (g2^2*g3^4*t^8.55)/g1^4 + (g3^6*t^8.56)/(g1^2*g2) + (3*g2^2*g3^10*t^8.58)/g1^2 - t^8.68/(g1^4*g2^3*g3^8) - t^8.7/(g1^4*g3^4) + (2*g3^2*t^8.73)/g1^2 + (g2^3*g3^6*t^8.75)/g1^2 - 2*g3^8*t^8.75 + 2*g2^3*g3^12*t^8.77 + g1^2*g3^14*t^8.78 - t^8.85/(g1^4*g2^2*g3^12) + t^8.88/(g1^2*g2^2*g3^6) + (g2^2*g3^25*t^8.88)/g1^9 + (g2*t^8.9)/(g1^2*g3^2) + (g2^4*g3^2*t^8.92)/g1^2 - 8*g2*g3^4*t^8.92 + g1^2*g2*g3^10*t^8.95 - (g3*t^4.36)/(g1*y) - (g2*g3^9*t^6.74)/(g1^5*y) - (g3*t^6.89)/(g1^5*g2*y) - (g2*g3^5*t^7.29)/(g1*y) + t^7.44/(g1*g2*g3^3*y) + (g1^3*g2*g3*t^7.83)/y + (g3^8*t^7.91)/(g1^8*y) + (g1^3*t^7.98)/(g2*g3^7*y) + (2*g2^2*g3^12*t^8.3)/(g1^4*y) + (2*g3^4*t^8.45)/(g1^4*y) + (g2*t^8.63)/(g1^4*y) + (g2*g3^6*t^8.65)/(g1^2*y) + (g2*g3^12*t^8.68)/y + t^8.78/(g1^4*g2*g3^8*y) + t^8.8/(g1^2*g2*g3^2*y) + (g3^4*t^8.83)/(g2*y) + (g2^2*g3^8*t^8.85)/y - (g3*t^4.36*y)/g1 - (g2*g3^9*t^6.74*y)/g1^5 - (g3*t^6.89*y)/(g1^5*g2) - (g2*g3^5*t^7.29*y)/g1 + (t^7.44*y)/(g1*g2*g3^3) + g1^3*g2*g3*t^7.83*y + (g3^8*t^7.91*y)/g1^8 + (g1^3*t^7.98*y)/(g2*g3^7) + (2*g2^2*g3^12*t^8.3*y)/g1^4 + (2*g3^4*t^8.45*y)/g1^4 + (g2*t^8.63*y)/g1^4 + (g2*g3^6*t^8.65*y)/g1^2 + g2*g3^12*t^8.68*y + (t^8.78*y)/(g1^4*g2*g3^8) + (t^8.8*y)/(g1^2*g2*g3^2) + (g3^4*t^8.83*y)/g2 + g2^2*g3^8*t^8.85*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 |
|---|---|---|---|---|---|---|---|---|
| 1879 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_3M_5$ + $ M_3M_6$ + $ \phi_1q_1q_2$ + $ M_1X_1$ | 0.617 | 0.7524 | 0.82 | [X:[1.6109], M:[0.3891, 1.2218, 1.1673, 0.7236, 0.8327, 0.8327], q:[0.8464, 0.7645], qb:[0.43, 0.4027], phi:[0.3891]] | t^2.17 + 2*t^2.5 + 2*t^3.58 + 2*t^3.67 + 2*t^3.75 + t^4.34 + 2*t^4.67 + t^4.83 + 3*t^5. + 2*t^5.75 + t^5.84 - 3*t^6. - t^4.17/y - t^4.17*y | detail | |
| 1880 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_3M_5$ + $ M_3M_6$ + $ \phi_1q_1^2$ | 0.7001 | 0.8624 | 0.8118 | [X:[], M:[0.6791, 1.1496, 1.0217, 0.7225, 0.9783, 0.9783], q:[0.7874, 0.5335], qb:[0.4901, 0.4882], phi:[0.4252]] | t^2.04 + t^2.17 + 2*t^2.93 + t^3.07 + t^3.45 + t^3.83 + t^4.07 + 2*t^4.2 + t^4.21 + t^4.22 + t^4.33 + t^4.34 + t^4.35 + t^4.48 + 2*t^4.97 + 2*t^5.1 + t^5.11 + t^5.24 + t^5.49 + t^5.62 + 2*t^5.87 - 3*t^6. - t^4.28/y - t^4.28*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 |
|---|---|---|---|---|---|---|---|---|---|
| 338 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_3M_5$ | 0.7184 | 0.8775 | 0.8187 | [X:[], M:[0.8179, 1.091, 1.0, 0.8179, 1.0], q:[0.6411, 0.541], qb:[0.541, 0.459], phi:[0.4545]] | 2*t^2.45 + 2*t^3. + t^3.25 + t^3.27 + t^3.3 + t^4.12 + 2*t^4.36 + 3*t^4.61 + t^4.66 + 5*t^4.91 + t^5.21 + 3*t^5.45 + 2*t^5.73 - 3*t^6. - t^4.36/y - t^4.36*y | detail |