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 |
|---|---|---|---|---|---|---|---|---|---|
| 45934 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ | 0.7722 | 0.9495 | 0.8132 | [X:[], M:[0.7745, 0.7745, 0.7745, 0.7745], q:[0.6127, 0.6127], qb:[0.6127, 0.6127], phi:[0.3873]] | [X:[], M:[[-4, -4, 0, 0], [-4, 0, -4, 0], [0, 0, -4, -4], [0, -4, 0, -4]], q:[[4, 0, 0, 0], [0, 4, 0, 0]], qb:[[0, 0, 4, 0], [0, 0, 0, 4]], phi:[[-1, -1, -1, -1]]] | 4 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ M_2$, $ M_4$, $ M_3$, $ \phi_1^2$, $ q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ M_1^2$, $ M_2^2$, $ M_1M_2$, $ M_4^2$, $ M_3^2$, $ M_3M_4$, $ M_3\phi_1^2$, $ M_4\phi_1^2$, $ M_1M_4$, $ M_2M_3$, $ M_1M_3$, $ M_2M_4$, $ \phi_1^4$, $ M_2\phi_1^2$, $ M_1\phi_1^2$, $ \phi_1q_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_2^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$ | $M_2q_2\tilde{q}_1$, $ M_4q_2\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ M_3q_1\tilde{q}_2$, $ M_4q_1\tilde{q}_2$, $ \phi_1^2q_1\tilde{q}_2$ | -6 | 5*t^2.32 + 2*t^3.68 + 15*t^4.65 + 10*t^4.84 - 6*t^6. + 35*t^6.97 + 35*t^7.16 + 2*t^7.35 - 40*t^8.32 - 5*t^8.51 - t^4.16/y - (5*t^6.49)/y + (10*t^7.65)/y + (5*t^7.84)/y - (15*t^8.81)/y - t^4.16*y - 5*t^6.49*y + 10*t^7.65*y + 5*t^7.84*y - 15*t^8.81*y | t^2.32/(g1^4*g2^4) + t^2.32/(g1^4*g3^4) + t^2.32/(g2^4*g4^4) + t^2.32/(g3^4*g4^4) + t^2.32/(g1^2*g2^2*g3^2*g4^2) + g2^4*g3^4*t^3.68 + g1^4*g4^4*t^3.68 + t^4.65/(g1^8*g2^8) + t^4.65/(g1^8*g3^8) + t^4.65/(g1^8*g2^4*g3^4) + t^4.65/(g2^8*g4^8) + t^4.65/(g3^8*g4^8) + t^4.65/(g2^4*g3^4*g4^8) + t^4.65/(g1^2*g2^2*g3^6*g4^6) + t^4.65/(g1^2*g2^6*g3^2*g4^6) + t^4.65/(g1^4*g2^8*g4^4) + t^4.65/(g1^4*g3^8*g4^4) + (3*t^4.65)/(g1^4*g2^4*g3^4*g4^4) + t^4.65/(g1^6*g2^2*g3^6*g4^2) + t^4.65/(g1^6*g2^6*g3^2*g4^2) + (g1^7*t^4.84)/(g2*g3*g4) + (g1^3*g2^3*t^4.84)/(g3*g4) + (g2^7*t^4.84)/(g1*g3*g4) + (g1^3*g3^3*t^4.84)/(g2*g4) + (g2^3*g3^3*t^4.84)/(g1*g4) + (g3^7*t^4.84)/(g1*g2*g4) + (g1^3*g4^3*t^4.84)/(g2*g3) + (g2^3*g4^3*t^4.84)/(g1*g3) + (g3^3*g4^3*t^4.84)/(g1*g2) + (g4^7*t^4.84)/(g1*g2*g3) - 4*t^6. - (g2^4*t^6.)/g3^4 - (g3^4*t^6.)/g2^4 - (g1^4*t^6.)/g4^4 + (g2^2*g3^2*t^6.)/(g1^2*g4^2) + (g1^2*g4^2*t^6.)/(g2^2*g3^2) - (g4^4*t^6.)/g1^4 + t^6.97/(g1^12*g2^12) + t^6.97/(g1^12*g3^12) + t^6.97/(g1^12*g2^4*g3^8) + t^6.97/(g1^12*g2^8*g3^4) + t^6.97/(g2^12*g4^12) + t^6.97/(g3^12*g4^12) + t^6.97/(g2^4*g3^8*g4^12) + t^6.97/(g2^8*g3^4*g4^12) + t^6.97/(g1^2*g2^2*g3^10*g4^10) + t^6.97/(g1^2*g2^6*g3^6*g4^10) + t^6.97/(g1^2*g2^10*g3^2*g4^10) + t^6.97/(g1^4*g2^12*g4^8) + t^6.97/(g1^4*g3^12*g4^8) + (3*t^6.97)/(g1^4*g2^4*g3^8*g4^8) + (3*t^6.97)/(g1^4*g2^8*g3^4*g4^8) + t^6.97/(g1^6*g2^2*g3^10*g4^6) + (3*t^6.97)/(g1^6*g2^6*g3^6*g4^6) + t^6.97/(g1^6*g2^10*g3^2*g4^6) + t^6.97/(g1^8*g2^12*g4^4) + t^6.97/(g1^8*g3^12*g4^4) + (3*t^6.97)/(g1^8*g2^4*g3^8*g4^4) + (3*t^6.97)/(g1^8*g2^8*g3^4*g4^4) + t^6.97/(g1^10*g2^2*g3^10*g4^2) + t^6.97/(g1^10*g2^6*g3^6*g4^2) + t^6.97/(g1^10*g2^10*g3^2*g4^2) + (g1^7*t^7.16)/(g2*g3^5*g4^5) + (g1^3*g2^3*t^7.16)/(g3^5*g4^5) + (g2^7*t^7.16)/(g1*g3^5*g4^5) + (g1^7*t^7.16)/(g2^5*g3*g4^5) + (g1^3*t^7.16)/(g2*g3*g4^5) + (g2^3*t^7.16)/(g1*g3*g4^5) + (g1^3*g3^3*t^7.16)/(g2^5*g4^5) + (g3^3*t^7.16)/(g1*g2*g4^5) + (g3^7*t^7.16)/(g1*g2^5*g4^5) + (g1^5*t^7.16)/(g2^3*g3^3*g4^3) + (g1*g2*t^7.16)/(g3^3*g4^3) + (g2^5*t^7.16)/(g1^3*g3^3*g4^3) + (g1*g3*t^7.16)/(g2^3*g4^3) + (g2*g3*t^7.16)/(g1^3*g4^3) + (g3^5*t^7.16)/(g1^3*g2^3*g4^3) + (g1^3*t^7.16)/(g2*g3^5*g4) + (g2^3*t^7.16)/(g1*g3^5*g4) + (g2^7*t^7.16)/(g1^5*g3^5*g4) + (g1^3*t^7.16)/(g2^5*g3*g4) + t^7.16/(g1*g2*g3*g4) + (g2^3*t^7.16)/(g1^5*g3*g4) + (g3^3*t^7.16)/(g1*g2^5*g4) + (g3^3*t^7.16)/(g1^5*g2*g4) + (g3^7*t^7.16)/(g1^5*g2^5*g4) + (g1*g4*t^7.16)/(g2^3*g3^3) + (g2*g4*t^7.16)/(g1^3*g3^3) + (g3*g4*t^7.16)/(g1^3*g2^3) + (g4^3*t^7.16)/(g1*g2*g3^5) + (g2^3*g4^3*t^7.16)/(g1^5*g3^5) + (g4^3*t^7.16)/(g1*g2^5*g3) + (g4^3*t^7.16)/(g1^5*g2*g3) + (g3^3*g4^3*t^7.16)/(g1^5*g2^5) + (g4^5*t^7.16)/(g1^3*g2^3*g3^3) + (g4^7*t^7.16)/(g1^5*g2*g3^5) + (g4^7*t^7.16)/(g1^5*g2^5*g3) + g2^8*g3^8*t^7.35 + g1^8*g4^8*t^7.35 - (5*t^8.32)/(g1^4*g2^4) - (g2^4*t^8.32)/(g1^4*g3^8) - (5*t^8.32)/(g1^4*g3^4) - (g3^4*t^8.32)/(g1^4*g2^8) - (g1^4*t^8.32)/(g2^4*g4^8) - (g1^4*t^8.32)/(g3^4*g4^8) - (g1^2*t^8.32)/(g2^2*g3^2*g4^6) - (5*t^8.32)/(g2^4*g4^4) - (g2^4*t^8.32)/(g3^8*g4^4) - (5*t^8.32)/(g3^4*g4^4) - (g1^4*t^8.32)/(g2^4*g3^4*g4^4) - (g2^4*t^8.32)/(g1^4*g3^4*g4^4) - (g3^4*t^8.32)/(g2^8*g4^4) - (g3^4*t^8.32)/(g1^4*g2^4*g4^4) - (g2^2*t^8.32)/(g1^2*g3^6*g4^2) - (4*t^8.32)/(g1^2*g2^2*g3^2*g4^2) - (g3^2*t^8.32)/(g1^2*g2^6*g4^2) - (g4^2*t^8.32)/(g1^6*g2^2*g3^2) - (g4^4*t^8.32)/(g1^8*g2^4) - (g4^4*t^8.32)/(g1^8*g3^4) - (g4^4*t^8.32)/(g1^4*g2^4*g3^4) + (g2^11*g3^3*t^8.51)/(g1*g4) + (g2^7*g3^7*t^8.51)/(g1*g4) + (g2^3*g3^11*t^8.51)/(g1*g4) - g1^9*g2*g3*g4*t^8.51 - g1^5*g2^5*g3*g4*t^8.51 - g1*g2^9*g3*g4*t^8.51 - g1^5*g2*g3^5*g4*t^8.51 - g1*g2^5*g3^5*g4*t^8.51 - g1*g2*g3^9*g4*t^8.51 + (g1^11*g4^3*t^8.51)/(g2*g3) - g1^3*g2^3*g3^3*g4^3*t^8.51 - g1^5*g2*g3*g4^5*t^8.51 - g1*g2^5*g3*g4^5*t^8.51 - g1*g2*g3^5*g4^5*t^8.51 + (g1^7*g4^7*t^8.51)/(g2*g3) - g1*g2*g3*g4^9*t^8.51 + (g1^3*g4^11*t^8.51)/(g2*g3) - t^4.16/(g1*g2*g3*g4*y) - t^6.49/(g1*g2*g3^5*g4^5*y) - t^6.49/(g1*g2^5*g3*g4^5*y) - t^6.49/(g1^3*g2^3*g3^3*g4^3*y) - t^6.49/(g1^5*g2*g3^5*g4*y) - t^6.49/(g1^5*g2^5*g3*g4*y) + t^7.65/(g1^8*g2^4*g3^4*y) + t^7.65/(g2^4*g3^4*g4^8*y) + t^7.65/(g1^2*g2^2*g3^6*g4^6*y) + t^7.65/(g1^2*g2^6*g3^2*g4^6*y) + t^7.65/(g1^4*g2^8*g4^4*y) + t^7.65/(g1^4*g3^8*g4^4*y) + (2*t^7.65)/(g1^4*g2^4*g3^4*g4^4*y) + t^7.65/(g1^6*g2^2*g3^6*g4^2*y) + t^7.65/(g1^6*g2^6*g3^2*g4^2*y) + (g1^3*g2^3*t^7.84)/(g3*g4*y) + (g1^3*g3^3*t^7.84)/(g2*g4*y) + (g1*g2*g3*g4*t^7.84)/y + (g2^3*g4^3*t^7.84)/(g1*g3*y) + (g3^3*g4^3*t^7.84)/(g1*g2*y) - t^8.81/(g1*g2*g3^9*g4^9*y) - t^8.81/(g1*g2^5*g3^5*g4^9*y) - t^8.81/(g1*g2^9*g3*g4^9*y) - t^8.81/(g1^3*g2^3*g3^7*g4^7*y) - t^8.81/(g1^3*g2^7*g3^3*g4^7*y) - t^8.81/(g1^5*g2*g3^9*g4^5*y) - (3*t^8.81)/(g1^5*g2^5*g3^5*g4^5*y) - t^8.81/(g1^5*g2^9*g3*g4^5*y) - t^8.81/(g1^7*g2^3*g3^7*g4^3*y) - t^8.81/(g1^7*g2^7*g3^3*g4^3*y) - t^8.81/(g1^9*g2*g3^9*g4*y) - t^8.81/(g1^9*g2^5*g3^5*g4*y) - t^8.81/(g1^9*g2^9*g3*g4*y) - (t^4.16*y)/(g1*g2*g3*g4) - (t^6.49*y)/(g1*g2*g3^5*g4^5) - (t^6.49*y)/(g1*g2^5*g3*g4^5) - (t^6.49*y)/(g1^3*g2^3*g3^3*g4^3) - (t^6.49*y)/(g1^5*g2*g3^5*g4) - (t^6.49*y)/(g1^5*g2^5*g3*g4) + (t^7.65*y)/(g1^8*g2^4*g3^4) + (t^7.65*y)/(g2^4*g3^4*g4^8) + (t^7.65*y)/(g1^2*g2^2*g3^6*g4^6) + (t^7.65*y)/(g1^2*g2^6*g3^2*g4^6) + (t^7.65*y)/(g1^4*g2^8*g4^4) + (t^7.65*y)/(g1^4*g3^8*g4^4) + (2*t^7.65*y)/(g1^4*g2^4*g3^4*g4^4) + (t^7.65*y)/(g1^6*g2^2*g3^6*g4^2) + (t^7.65*y)/(g1^6*g2^6*g3^2*g4^2) + (g1^3*g2^3*t^7.84*y)/(g3*g4) + (g1^3*g3^3*t^7.84*y)/(g2*g4) + g1*g2*g3*g4*t^7.84*y + (g2^3*g4^3*t^7.84*y)/(g1*g3) + (g3^3*g4^3*t^7.84*y)/(g1*g2) - (t^8.81*y)/(g1*g2*g3^9*g4^9) - (t^8.81*y)/(g1*g2^5*g3^5*g4^9) - (t^8.81*y)/(g1*g2^9*g3*g4^9) - (t^8.81*y)/(g1^3*g2^3*g3^7*g4^7) - (t^8.81*y)/(g1^3*g2^7*g3^3*g4^7) - (t^8.81*y)/(g1^5*g2*g3^9*g4^5) - (3*t^8.81*y)/(g1^5*g2^5*g3^5*g4^5) - (t^8.81*y)/(g1^5*g2^9*g3*g4^5) - (t^8.81*y)/(g1^7*g2^3*g3^7*g4^3) - (t^8.81*y)/(g1^7*g2^7*g3^3*g4^3) - (t^8.81*y)/(g1^9*g2*g3^9*g4) - (t^8.81*y)/(g1^9*g2^5*g3^5*g4) - (t^8.81*y)/(g1^9*g2^9*g3*g4) |
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 |
|---|---|---|---|---|---|---|---|---|
| 45947 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1\phi_1^2$ | 0.7145 | 0.8771 | 0.8147 | [X:[], M:[1.0672, 0.9328, 0.7984, 0.9328], q:[0.4664, 0.4664], qb:[0.6008, 0.6008], phi:[0.4664]] | t^2.4 + 3*t^2.8 + 3*t^3.2 + 3*t^4.2 + 4*t^4.6 + t^4.79 + 3*t^5. + 3*t^5.19 + 5*t^5.6 + t^6. - t^4.4/y - t^4.4*y | detail | |
| 46011 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3M_4$ | 0.7272 | 0.8931 | 0.8142 | [X:[], M:[0.7935, 0.7935, 1.0, 1.0], q:[0.6608, 0.5457], qb:[0.5457, 0.4543], phi:[0.4484]] | 2*t^2.38 + t^2.69 + 2*t^3. + t^3.27 + t^3.35 + t^4.07 + 2*t^4.35 + 3*t^4.62 + t^4.69 + 3*t^4.76 + 2*t^4.96 + 2*t^5.07 + t^5.31 + 4*t^5.38 + 2*t^5.69 + t^5.96 - 3*t^6. - t^4.35/y - t^4.35*y | detail | |
| 45972 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3^2$ | 0.7407 | 0.9101 | 0.8139 | [X:[], M:[0.7195, 0.8597, 1.0, 0.8597], q:[0.6403, 0.6403], qb:[0.5, 0.5], phi:[0.4299]] | t^2.16 + 3*t^2.58 + t^3. + 2*t^3.42 + 3*t^4.29 + t^4.32 + 4*t^4.71 + 3*t^4.74 + 3*t^5.13 + 7*t^5.16 + t^5.58 - t^6. - t^4.29/y - t^4.29*y | detail | |
| 46023 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5\phi_1^2$ | 0.7546 | 0.9174 | 0.8226 | [X:[], M:[0.7904, 0.7904, 0.7904, 0.7904, 1.2096], q:[0.6048, 0.6048], qb:[0.6048, 0.6048], phi:[0.3952]] | 4*t^2.37 + 3*t^3.63 + 10*t^4.74 + 10*t^4.81 - 4*t^6. - t^4.19/y - t^4.19*y | detail | |
| 45955 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ | 0.791 | 0.9858 | 0.8024 | [X:[], M:[0.7646, 0.7646, 0.7646, 0.7646, 0.7371], q:[0.6314, 0.604], qb:[0.604, 0.6314], phi:[0.3823]] | t^2.21 + 5*t^2.29 + t^3.62 + t^4.42 + 5*t^4.51 + 15*t^4.59 + 3*t^4.77 + 4*t^4.85 + 3*t^4.94 + t^5.84 + t^5.92 - 8*t^6. - t^4.15/y - t^4.15*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 |
|---|---|---|---|---|---|---|---|---|---|
| 45846 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ | 0.7556 | 0.9204 | 0.821 | [X:[], M:[0.7942, 0.7604, 0.7942], q:[0.6198, 0.586], qb:[0.6198, 0.586], phi:[0.3971]] | t^2.28 + 3*t^2.38 + t^3.52 + 2*t^3.62 + t^4.56 + 3*t^4.66 + 3*t^4.71 + 6*t^4.77 + 4*t^4.81 + 3*t^4.91 + t^5.8 + t^5.9 - 2*t^6. - t^4.19/y - t^4.19*y | detail |