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 |
|---|---|---|---|---|---|---|---|---|---|
| 1334 | 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_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_1M_5$ + $ M_1M_7$ | 0.705 | 0.8667 | 0.8134 | [X:[], M:[1.0704, 1.0358, 0.858, 0.9988, 0.9296, 1.0012, 0.9296], q:[0.466, 0.4636], qb:[0.5352, 0.6068], phi:[0.4821]] | [X:[], M:[[8, 0], [-2, 2], [-4, -4], [12, -4], [-8, 0], [-12, 4], [-8, 0]], q:[[-16, 4], [8, -4]], qb:[[4, 0], [0, 4]], phi:[[1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_5$, $ M_7$, $ M_4$, $ M_6$, $ M_2$, $ q_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_3^2$, $ M_3M_5$, $ M_3M_7$, $ M_5^2$, $ M_3M_6$, $ M_5M_7$, $ M_7^2$, $ M_2M_3$, $ M_5M_6$, $ M_6M_7$, $ M_2M_5$, $ M_2M_7$ | . | -3 | t^2.57 + 2*t^2.79 + 2*t^3. + t^3.11 + t^3.22 + t^4.23 + 2*t^4.24 + t^4.44 + t^4.45 + 3*t^4.66 + t^4.87 + t^5.09 + t^5.15 + 2*t^5.36 + 3*t^5.58 + t^5.68 + 2*t^5.79 + 2*t^5.9 - 3*t^6. + 2*t^6.01 + t^6.1 + t^6.11 - 2*t^6.21 + t^6.22 + t^6.33 - t^6.42 - t^6.43 + t^6.44 + t^6.8 + t^6.81 + t^6.82 + 4*t^7.02 + 2*t^7.03 + t^7.22 + 3*t^7.23 + 3*t^7.24 + t^7.25 + 5*t^7.45 + t^7.46 + 2*t^7.66 + t^7.67 + t^7.72 - t^7.87 + 3*t^7.88 + 2*t^7.94 + t^8.09 + 3*t^8.15 + t^8.26 + t^8.31 - t^8.36 + 4*t^8.37 + 2*t^8.46 + 3*t^8.47 + 2*t^8.48 - 5*t^8.57 + 2*t^8.58 + t^8.67 + 5*t^8.68 + t^8.69 - 2*t^8.78 - 8*t^8.79 + 2*t^8.8 + 4*t^8.89 + 4*t^8.9 + t^8.91 - t^4.45/y - t^7.02/y - t^7.24/y + t^7.66/y + t^7.87/y + (2*t^8.36)/y + t^8.57/y + (2*t^8.58)/y + t^8.68/y + (5*t^8.79)/y + (2*t^8.9)/y - t^4.45*y - t^7.02*y - t^7.24*y + t^7.66*y + t^7.87*y + 2*t^8.36*y + t^8.57*y + 2*t^8.58*y + t^8.68*y + 5*t^8.79*y + 2*t^8.9*y | t^2.57/(g1^4*g2^4) + (2*t^2.79)/g1^8 + (g1^12*t^3.)/g2^4 + (g2^4*t^3.)/g1^12 + (g2^2*t^3.11)/g1^2 + (g2^8*t^3.22)/g1^16 + (g1^17*t^4.23)/g2^9 + t^4.24/(g1^7*g2) + (g2^7*t^4.24)/g1^31 + (g1^13*t^4.44)/g2^5 + (g2^3*t^4.45)/g1^11 + (2*g1^9*t^4.66)/g2 + (g2^7*t^4.66)/g1^15 + g1^5*g2^3*t^4.87 + g1*g2^7*t^5.09 + t^5.15/(g1^8*g2^8) + (2*t^5.36)/(g1^12*g2^4) + (3*t^5.58)/g1^16 + t^5.68/(g1^6*g2^2) + (2*g2^4*t^5.79)/g1^20 + (2*g2^2*t^5.9)/g1^10 - 3*t^6. + (2*g2^8*t^6.01)/g1^24 + (g1^10*t^6.1)/g2^2 + (g2^6*t^6.11)/g1^14 - (g1^20*t^6.21)/g2^4 - (g2^4*t^6.21)/g1^4 + (g2^12*t^6.22)/g1^28 + (g2^10*t^6.33)/g1^18 - g1^16*t^6.42 - (g2^8*t^6.43)/g1^8 + (g2^16*t^6.44)/g1^32 + (g1^13*t^6.8)/g2^13 + t^6.81/(g1^11*g2^5) + (g2^3*t^6.82)/g1^35 + (2*g1^9*t^7.02)/g2^9 + (2*t^7.02)/(g1^15*g2) + (2*g2^7*t^7.03)/g1^39 + (g1^29*t^7.22)/g2^13 + (3*g1^5*t^7.23)/g2^5 + (3*g2^3*t^7.24)/g1^19 + (g2^11*t^7.25)/g1^43 + (3*g1*t^7.45)/g2 + (2*g2^7*t^7.45)/g1^23 + (g2^15*t^7.46)/g1^47 + (2*g2^3*t^7.66)/g1^3 + (g2^11*t^7.67)/g1^27 + t^7.72/(g1^12*g2^12) - (g1^17*t^7.87)/g2 + (2*g2^7*t^7.88)/g1^7 + (g2^15*t^7.88)/g1^31 + (2*t^7.94)/(g1^16*g2^8) + (g2^11*t^8.09)/g1^11 + (3*t^8.15)/(g1^20*g2^4) + t^8.26/(g1^10*g2^6) + (g2^15*t^8.31)/g1^15 - t^8.36/g2^8 + (4*t^8.37)/g1^24 + (g1^34*t^8.46)/g2^18 + (g1^10*t^8.46)/g2^10 + (3*t^8.47)/(g1^14*g2^2) + (g2^6*t^8.48)/g1^38 + (g2^14*t^8.48)/g1^62 - (g1^20*t^8.57)/g2^12 - (4*t^8.57)/(g1^4*g2^4) + (2*g2^4*t^8.58)/g1^28 + (g1^30*t^8.67)/g2^14 + (g1^6*t^8.68)/g2^6 + (4*g2^2*t^8.68)/g1^18 + (g2^10*t^8.69)/g1^42 - (2*g1^16*t^8.78)/g2^8 - (8*t^8.79)/g1^8 + (2*g2^8*t^8.8)/g1^32 + (2*g1^26*t^8.89)/g2^10 + (2*g1^2*t^8.89)/g2^2 + (4*g2^6*t^8.9)/g1^22 + (g2^14*t^8.91)/g1^46 - (g1*t^4.45)/(g2*y) - t^7.02/(g1^3*g2^5*y) - t^7.24/(g1^7*g2*y) + (g1^9*t^7.66)/(g2*y) + (g1^5*g2^3*t^7.87)/y + (2*t^8.36)/(g1^12*g2^4*y) + (g1^8*t^8.57)/(g2^8*y) + (2*t^8.58)/(g1^16*y) + t^8.68/(g1^6*g2^2*y) + (2*g1^4*t^8.79)/(g2^4*y) + (3*g2^4*t^8.79)/(g1^20*y) + (2*g2^2*t^8.9)/(g1^10*y) - (g1*t^4.45*y)/g2 - (t^7.02*y)/(g1^3*g2^5) - (t^7.24*y)/(g1^7*g2) + (g1^9*t^7.66*y)/g2 + g1^5*g2^3*t^7.87*y + (2*t^8.36*y)/(g1^12*g2^4) + (g1^8*t^8.57*y)/g2^8 + (2*t^8.58*y)/g1^16 + (t^8.68*y)/(g1^6*g2^2) + (2*g1^4*t^8.79*y)/g2^4 + (3*g2^4*t^8.79*y)/g1^20 + (2*g2^2*t^8.9*y)/g1^10 |
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 |
|---|---|---|---|---|---|---|---|---|
| 2390 | $M_1q_1q_2$ + $ 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_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_1M_5$ + $ M_1M_7$ + $ M_6M_8$ | 0.7062 | 0.8675 | 0.8141 | [X:[], M:[1.0592, 1.0418, 0.8572, 0.9756, 0.9408, 1.0244, 0.9408, 0.9756], q:[0.4948, 0.446], qb:[0.5296, 0.6132], phi:[0.4791]] | t^2.57 + 2*t^2.82 + 2*t^2.93 + t^3.13 + t^3.32 + t^4.11 + t^4.26 + t^4.36 + t^4.41 + t^4.51 + 2*t^4.61 + t^4.76 + t^4.87 + t^5.12 + t^5.14 + 2*t^5.39 + t^5.5 + 2*t^5.64 + t^5.7 + 2*t^5.75 + 2*t^5.85 + 2*t^5.95 - 4*t^6. - t^4.44/y - t^4.44*y | detail | |
| 2389 | $M_1q_1q_2$ + $ 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_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_1M_5$ + $ M_1M_7$ + $ \phi_1q_1^2$ | 0.6159 | 0.7536 | 0.8172 | [X:[], M:[0.8858, 1.045, 1.0243, 0.7959, 1.1142, 1.2041, 1.1142], q:[0.7612, 0.353], qb:[0.4429, 0.5328], phi:[0.4775]] | t^2.39 + t^3.07 + t^3.13 + 2*t^3.34 + t^3.55 + t^3.61 + t^3.82 + t^3.88 + 2*t^4.09 + t^4.36 + t^4.63 + t^4.78 + t^5.52 + t^5.94 - 2*t^6. - t^4.43/y - t^4.43*y | detail | |
| 2388 | $M_1q_1q_2$ + $ 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_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_1M_5$ + $ M_1M_7$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_3X_1$ | 0.5703 | 0.7124 | 0.8005 | [X:[1.5726], M:[1.2822, 1.1452, 0.4274, 0.9919, 0.7178, 1.0081, 0.7178], q:[0.367, 0.3508], qb:[0.6411, 0.9315], phi:[0.4274]] | 2*t^2.15 + t^2.98 + t^3.02 + t^3.39 + 2*t^3.44 + t^3.48 + t^3.9 + 3*t^4.31 + t^4.72 + 2*t^5.13 + 2*t^5.18 + t^5.54 + 3*t^5.59 + 2*t^5.64 - 2*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 |
|---|---|---|---|---|---|---|---|---|---|
| 837 | 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_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_1M_5$ | 0.6995 | 0.856 | 0.8172 | [X:[], M:[1.0482, 1.0302, 0.8913, 0.9877, 0.9518, 1.0123], q:[0.4881, 0.4636], qb:[0.5241, 0.5846], phi:[0.4849]] | t^2.67 + t^2.86 + t^2.96 + t^3.04 + t^3.09 + t^3.14 + t^3.22 + t^4.24 + t^4.31 + t^4.38 + t^4.42 + t^4.49 + 2*t^4.6 + t^4.67 + t^4.78 + t^4.96 + t^5.35 + t^5.53 + t^5.71 + t^5.76 + t^5.89 + t^5.95 - 2*t^6. - t^4.45/y - t^4.45*y | detail |