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 |
|---|---|---|---|---|---|---|---|---|---|
| 180 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_1$ | 0.6484 | 0.7953 | 0.8152 | [X:[], M:[0.7026, 1.2974, 0.7026, 0.7026], q:[0.8244, 0.8244], qb:[0.4731, 0.4731], phi:[0.3513]] | [X:[], M:[[1, -4, -1], [0, 2, 2], [0, 1, -5], [-1, -3, 0]], q:[[-1, 1, 1], [1, 0, 0]], qb:[[0, 3, 0], [0, 0, 3]], phi:[[0, -1, -1]]] | 3 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_3$, $ M_1$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ q_1\tilde{q}_2$, $ M_4^2$, $ M_3^2$, $ M_1M_3$, $ M_3M_4$, $ M_1^2$, $ M_1M_4$, $ M_3\tilde{q}_1\tilde{q}_2$, $ q_1q_2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$ | $M_1M_2$, $ M_2M_3$, $ M_2M_4$, $ M_1\phi_1\tilde{q}_1^2$, $ M_3\phi_1\tilde{q}_1^2$, $ M_4\phi_1\tilde{q}_1^2$, $ M_3q_1\tilde{q}_2$, $ M_4q_1\tilde{q}_2$, $ M_1q_2\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ M_4q_2\tilde{q}_2$, $ M_1\phi_1\tilde{q}_1\tilde{q}_2$, $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ | 6 | 3*t^2.11 + t^2.84 + 5*t^3.89 + 6*t^4.22 + 4*t^4.95 + t^5.68 + 6*t^6. + 10*t^6.32 + 5*t^6.73 + t^7.05 + 10*t^7.78 + 4*t^8.11 + 15*t^8.43 + t^8.52 + 3*t^8.84 - t^4.05/y - (3*t^6.16)/y + (3*t^7.22)/y + (6*t^7.95)/y - (6*t^8.27)/y - t^4.05*y - 3*t^6.16*y + 3*t^7.22*y + 6*t^7.95*y - 6*t^8.27*y | t^2.11/(g1*g2^3) + (g2*t^2.11)/g3^5 + (g1*t^2.11)/(g2^4*g3) + g2^3*g3^3*t^2.84 + (g2^5*t^3.89)/g3 + 2*g2^2*g3^2*t^3.89 + g1*g3^3*t^3.89 + (g2*g3^4*t^3.89)/g1 + t^4.22/(g1^2*g2^6) + (g2^2*t^4.22)/g3^10 + (g1*t^4.22)/(g2^3*g3^6) + t^4.22/(g1*g2^2*g3^5) + (g1^2*t^4.22)/(g2^8*g3^2) + t^4.22/(g2^7*g3) + (g2^4*t^4.95)/g3^2 + g2*g3*t^4.95 + (g1*g3^2*t^4.95)/g2 + (g3^3*t^4.95)/g1 + g2^6*g3^6*t^5.68 - 3*t^6. + (g2^6*t^6.)/g3^6 + (g2^3*t^6.)/g3^3 + (g1*g2*t^6.)/g3^2 + (g2^2*t^6.)/(g1*g3) + (g1*g3*t^6.)/g2^2 + (g1^2*g3^2*t^6.)/g2^4 + (g3^2*t^6.)/(g1*g2) + (g3^3*t^6.)/g2^3 + (g3^4*t^6.)/(g1^2*g2^2) + t^6.32/(g1^3*g2^9) + (g2^3*t^6.32)/g3^15 + (g1*t^6.32)/(g2^2*g3^11) + t^6.32/(g1*g2*g3^10) + (g1^2*t^6.32)/(g2^7*g3^7) + t^6.32/(g2^6*g3^6) + t^6.32/(g1^2*g2^5*g3^5) + (g1^3*t^6.32)/(g2^12*g3^3) + (g1*t^6.32)/(g2^11*g3^2) + t^6.32/(g1*g2^10*g3) + g2^8*g3^2*t^6.73 + 2*g2^5*g3^5*t^6.73 + g1*g2^3*g3^6*t^6.73 + (g2^4*g3^7*t^6.73)/g1 + (g2^5*t^7.05)/g3^7 - (2*t^7.05)/(g2*g3) + (g1^2*g3*t^7.05)/g2^5 + (g3^3*t^7.05)/(g1^2*g2^3) + (g2^10*t^7.78)/g3^2 + 2*g2^7*g3*t^7.78 + g2^4*g3^4*t^7.78 + 2*g1*g2^2*g3^5*t^7.78 + g1^2*g3^6*t^7.78 + (2*g2^3*g3^6*t^7.78)/g1 + (g2^2*g3^8*t^7.78)/g1^2 + (g1^2*t^8.11)/g2^6 - (3*t^8.11)/(g1*g2^3) + (g2^7*t^8.11)/g3^11 + (g2^4*t^8.11)/g3^8 + (g1*g2^2*t^8.11)/g3^7 + (g2^3*t^8.11)/(g1*g3^6) - (3*g2*t^8.11)/g3^5 + (g1^2*t^8.11)/(g2^3*g3^3) + t^8.11/(g2^2*g3^2) - (3*g1*t^8.11)/(g2^4*g3) + t^8.11/(g1^2*g2*g3) + (g1^3*g3*t^8.11)/g2^8 + (g1*g3^2*t^8.11)/g2^7 + (g3^2*t^8.11)/(g1^2*g2^4) + (g3^3*t^8.11)/(g1*g2^6) + (g3^4*t^8.11)/(g1^3*g2^5) + t^8.43/(g1^4*g2^12) + (g2^4*t^8.43)/g3^20 + (g1*t^8.43)/(g2*g3^16) + t^8.43/(g1*g3^15) + (g1^2*t^8.43)/(g2^6*g3^12) + t^8.43/(g2^5*g3^11) + t^8.43/(g1^2*g2^4*g3^10) + (g1^3*t^8.43)/(g2^11*g3^8) + (g1*t^8.43)/(g2^10*g3^7) + t^8.43/(g1*g2^9*g3^6) + t^8.43/(g1^3*g2^8*g3^5) + (g1^4*t^8.43)/(g2^16*g3^4) + (g1^2*t^8.43)/(g2^15*g3^3) + t^8.43/(g2^14*g3^2) + t^8.43/(g1^2*g2^13*g3) + g2^9*g3^9*t^8.52 + g2^6*t^8.84 + (g2^9*t^8.84)/g3^3 - 3*g2^3*g3^3*t^8.84 + g1*g2*g3^4*t^8.84 + (g1^2*g3^5*t^8.84)/g2 + (g2^2*g3^5*t^8.84)/g1 + (g2*g3^7*t^8.84)/g1^2 - t^4.05/(g2*g3*y) - t^6.16/(g3^6*y) - (g1*t^6.16)/(g2^5*g3^2*y) - t^6.16/(g1*g2^4*g3*y) + (g1*t^7.22)/(g2^3*g3^6*y) + t^7.22/(g1*g2^2*g3^5*y) + t^7.22/(g2^7*g3*y) + (g2^3*t^7.95)/(g1*y) + (g2^4*t^7.95)/(g3^2*y) + (g1*g2^2*t^7.95)/(g3*y) + (g1*g3^2*t^7.95)/(g2*y) + (g3^3*t^7.95)/(g1*y) + (g3^4*t^7.95)/(g2^2*y) - (g2*t^8.27)/(g3^11*y) - (g1*t^8.27)/(g2^4*g3^7*y) - t^8.27/(g1*g2^3*g3^6*y) - (g1^2*t^8.27)/(g2^9*g3^3*y) - t^8.27/(g2^8*g3^2*y) - t^8.27/(g1^2*g2^7*g3*y) - (t^4.05*y)/(g2*g3) - (t^6.16*y)/g3^6 - (g1*t^6.16*y)/(g2^5*g3^2) - (t^6.16*y)/(g1*g2^4*g3) + (g1*t^7.22*y)/(g2^3*g3^6) + (t^7.22*y)/(g1*g2^2*g3^5) + (t^7.22*y)/(g2^7*g3) + (g2^3*t^7.95*y)/g1 + (g2^4*t^7.95*y)/g3^2 + (g1*g2^2*t^7.95*y)/g3 + (g1*g3^2*t^7.95*y)/g2 + (g3^3*t^7.95*y)/g1 + (g3^4*t^7.95*y)/g2^2 - (g2*t^8.27*y)/g3^11 - (g1*t^8.27*y)/(g2^4*g3^7) - (t^8.27*y)/(g1*g2^3*g3^6) - (g1^2*t^8.27*y)/(g2^9*g3^3) - (t^8.27*y)/(g2^8*g3^2) - (t^8.27*y)/(g1^2*g2^7*g3) |
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 |
|---|---|---|---|---|---|---|---|---|
| 280 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_1$ + $ M_1^2$ | 0.6018 | 0.7514 | 0.8009 | [X:[], M:[1.0, 1.2127, 0.6809, 0.6809], q:[0.6436, 0.9627], qb:[0.3564, 0.4627], phi:[0.3936]] | 2*t^2.04 + t^2.46 + t^3. + 2*t^3.32 + 2*t^3.64 + 3*t^4.09 + t^4.28 + 2*t^4.5 + t^4.82 + t^4.91 + 2*t^5.04 + 3*t^5.36 + t^5.46 + 2*t^5.68 + 2*t^5.78 - 2*t^6. - t^4.18/y - t^4.18*y | detail | |
| 283 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_1$ + $ M_5\phi_1\tilde{q}_1^2$ | 0.6689 | 0.8351 | 0.801 | [X:[], M:[0.6951, 1.3008, 0.7072, 0.6951, 0.6911], q:[0.8252, 0.8252], qb:[0.4797, 0.4716], phi:[0.3496]] | t^2.07 + 2*t^2.09 + t^2.12 + t^2.85 + 2*t^3.89 + 2*t^3.9 + t^4.15 + 2*t^4.16 + 3*t^4.17 + t^4.2 + 2*t^4.21 + t^4.24 + t^4.93 + 2*t^4.94 + t^4.95 + t^4.98 + t^5.71 + 2*t^5.96 + 5*t^5.98 + 2*t^5.99 - 3*t^6. - t^4.05/y - t^4.05*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 |
|---|---|---|---|---|---|---|---|---|---|
| 114 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3\phi_1\tilde{q}_2^2$ | 0.6281 | 0.7586 | 0.8281 | [X:[], M:[0.7009, 1.2889, 0.7009], q:[0.8375, 0.807], qb:[0.4616, 0.4718], phi:[0.3555]] | 2*t^2.1 + t^2.8 + t^3.81 + 2*t^3.84 + 2*t^3.87 + t^3.93 + 3*t^4.21 + 2*t^4.9 + t^4.93 + t^5.6 + 2*t^5.91 + 3*t^5.94 + 2*t^5.97 - 3*t^6. - t^4.07/y - t^4.07*y | detail |