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 |
|---|---|---|---|---|---|---|---|---|---|
| 46056 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ | 0.7737 | 0.9544 | 0.8107 | [X:[], M:[0.7809, 0.7498, 0.7498, 0.7809], q:[0.5785, 0.6406], qb:[0.6095, 0.6095], phi:[0.3905]] | [X:[], M:[[0, -2, -2], [-1, -2, 0], [-1, 0, -2], [0, -2, -2]], q:[[-1, 2, 2], [1, 0, 0]], qb:[[0, 2, 0], [0, 0, 2]], phi:[[0, -1, -1]]] | 3 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_3$, $ M_1$, $ M_4$, $ \phi_1^2$, $ q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ M_2^2$, $ M_3^2$, $ M_2M_3$, $ M_1M_3$, $ M_3M_4$, $ M_3\phi_1^2$, $ M_1M_2$, $ M_2M_4$, $ M_2\phi_1^2$, $ \phi_1q_1^2$, $ M_1^2$, $ M_1M_4$, $ M_4^2$, $ M_1\phi_1^2$, $ M_4\phi_1^2$, $ \phi_1^4$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ M_3q_1\tilde{q}_1$, $ M_2q_1\tilde{q}_1$, $ M_3q_1\tilde{q}_2$, $ M_2q_1\tilde{q}_2$, $ M_4q_1\tilde{q}_1$, $ M_4q_1\tilde{q}_2$ | . | -6 | 2*t^2.25 + 3*t^2.34 + 2*t^3.56 + 3*t^4.5 + 6*t^4.59 + t^4.64 + 6*t^4.69 + 2*t^4.74 + 4*t^4.83 + 2*t^4.92 + t^5.02 + 3*t^5.81 + 2*t^5.91 - 6*t^6. - 4*t^6.09 - t^6.19 + 4*t^6.75 + 9*t^6.84 + 2*t^6.89 + 12*t^6.94 + 6*t^6.98 + 10*t^7.03 + 10*t^7.08 + 3*t^7.13 + 11*t^7.17 + 4*t^7.26 - t^7.31 + 2*t^7.36 + 4*t^8.06 + 2*t^8.16 + 2*t^8.21 - 10*t^8.25 + 2*t^8.3 - 22*t^8.34 + 2*t^8.39 - 12*t^8.44 - 5*t^8.49 - 2*t^8.53 - 4*t^8.58 - 2*t^8.67 - t^4.17/y - (2*t^6.42)/y - (3*t^6.51)/y + t^7.5/y + (6*t^7.59)/y + (3*t^7.69)/y + (3*t^7.83)/y + (2*t^7.92)/y - (3*t^8.67)/y - (6*t^8.76)/y + (4*t^8.81)/y - (6*t^8.86)/y + (6*t^8.91)/y - t^4.17*y - 2*t^6.42*y - 3*t^6.51*y + t^7.5*y + 6*t^7.59*y + 3*t^7.69*y + 3*t^7.83*y + 2*t^7.92*y - 3*t^8.67*y - 6*t^8.76*y + 4*t^8.81*y - 6*t^8.86*y + 6*t^8.91*y | t^2.25/(g1*g2^2) + t^2.25/(g1*g3^2) + (3*t^2.34)/(g2^2*g3^2) + (g2^4*g3^2*t^3.56)/g1 + (g2^2*g3^4*t^3.56)/g1 + t^4.5/(g1^2*g2^4) + t^4.5/(g1^2*g3^4) + t^4.5/(g1^2*g2^2*g3^2) + (3*t^4.59)/(g1*g2^2*g3^4) + (3*t^4.59)/(g1*g2^4*g3^2) + (g2^3*g3^3*t^4.64)/g1^2 + (6*t^4.69)/(g2^4*g3^4) + (g2^3*g3*t^4.74)/g1 + (g2*g3^3*t^4.74)/g1 + (g2^3*t^4.83)/g3 + 2*g2*g3*t^4.83 + (g3^3*t^4.83)/g2 + (g1*g2*t^4.92)/g3 + (g1*g3*t^4.92)/g2 + (g1^2*t^5.02)/(g2*g3) + (g2^4*t^5.81)/g1^2 + (g2^2*g3^2*t^5.81)/g1^2 + (g3^4*t^5.81)/g1^2 + (g2^2*t^5.91)/g1 + (g3^2*t^5.91)/g1 - 4*t^6. - (g2^2*t^6.)/g3^2 - (g3^2*t^6.)/g2^2 - (2*g1*t^6.09)/g2^2 - (2*g1*t^6.09)/g3^2 - (g1^2*t^6.19)/(g2^2*g3^2) + t^6.75/(g1^3*g2^6) + t^6.75/(g1^3*g3^6) + t^6.75/(g1^3*g2^2*g3^4) + t^6.75/(g1^3*g2^4*g3^2) + (3*t^6.84)/(g1^2*g2^2*g3^6) + (3*t^6.84)/(g1^2*g2^4*g3^4) + (3*t^6.84)/(g1^2*g2^6*g3^2) + (g2^3*g3*t^6.89)/g1^3 + (g2*g3^3*t^6.89)/g1^3 + (6*t^6.94)/(g1*g2^4*g3^6) + (6*t^6.94)/(g1*g2^6*g3^4) + (g2^3*t^6.98)/(g1^2*g3) + (4*g2*g3*t^6.98)/g1^2 + (g3^3*t^6.98)/(g1^2*g2) + (10*t^7.03)/(g2^6*g3^6) + (g2^3*t^7.08)/(g1*g3^3) + (4*g2*t^7.08)/(g1*g3) + (4*g3*t^7.08)/(g1*g2) + (g3^3*t^7.08)/(g1*g2^3) + (g2^8*g3^4*t^7.13)/g1^2 + (g2^6*g3^6*t^7.13)/g1^2 + (g2^4*g3^8*t^7.13)/g1^2 + (3*g2*t^7.17)/g3^3 + (5*t^7.17)/(g2*g3) + (3*g3*t^7.17)/g2^3 + (2*g1*t^7.26)/(g2*g3^3) + (2*g1*t^7.26)/(g2^3*g3) - g2^4*g3^4*t^7.31 + (2*g1^2*t^7.36)/(g2^3*g3^3) + (g2^2*t^8.06)/g1^3 + (g2^4*t^8.06)/(g1^3*g3^2) + (g3^2*t^8.06)/g1^3 + (g3^4*t^8.06)/(g1^3*g2^2) + (g2^2*t^8.16)/(g1^2*g3^2) + (g3^2*t^8.16)/(g1^2*g2^2) + (g2^7*g3^5*t^8.21)/g1^3 + (g2^5*g3^7*t^8.21)/g1^3 - (4*t^8.25)/(g1*g2^2) - (g2^2*t^8.25)/(g1*g3^4) - (4*t^8.25)/(g1*g3^2) - (g3^2*t^8.25)/(g1*g2^4) + (g2^7*g3^3*t^8.3)/g1^2 + (g2^3*g3^7*t^8.3)/g1^2 - (4*t^8.34)/g2^4 - (4*t^8.34)/g3^4 - (14*t^8.34)/(g2^2*g3^2) + (g2^7*g3*t^8.39)/g1 + (g2*g3^7*t^8.39)/g1 - (6*g1*t^8.44)/(g2^2*g3^4) - (6*g1*t^8.44)/(g2^4*g3^2) - g2^5*g3*t^8.49 - 3*g2^3*g3^3*t^8.49 - g2*g3^5*t^8.49 - (2*g1^2*t^8.53)/(g2^4*g3^4) - 2*g1*g2^3*g3*t^8.58 - 2*g1*g2*g3^3*t^8.58 - 2*g1^2*g2*g3*t^8.67 - t^4.17/(g2*g3*y) - t^6.42/(g1*g2*g3^3*y) - t^6.42/(g1*g2^3*g3*y) - (3*t^6.51)/(g2^3*g3^3*y) + t^7.5/(g1^2*g2^2*g3^2*y) + (3*t^7.59)/(g1*g2^2*g3^4*y) + (3*t^7.59)/(g1*g2^4*g3^2*y) + (3*t^7.69)/(g2^4*g3^4*y) + (3*g2*g3*t^7.83)/y + (g1*g2*t^7.92)/(g3*y) + (g1*g3*t^7.92)/(g2*y) - t^8.67/(g1^2*g2*g3^5*y) - t^8.67/(g1^2*g2^3*g3^3*y) - t^8.67/(g1^2*g2^5*g3*y) - (3*t^8.76)/(g1*g2^3*g3^5*y) - (3*t^8.76)/(g1*g2^5*g3^3*y) + (g2^4*t^8.81)/(g1^2*y) + (2*g2^2*g3^2*t^8.81)/(g1^2*y) + (g3^4*t^8.81)/(g1^2*y) - (6*t^8.86)/(g2^5*g3^5*y) + (3*g2^2*t^8.91)/(g1*y) + (3*g3^2*t^8.91)/(g1*y) - (t^4.17*y)/(g2*g3) - (t^6.42*y)/(g1*g2*g3^3) - (t^6.42*y)/(g1*g2^3*g3) - (3*t^6.51*y)/(g2^3*g3^3) + (t^7.5*y)/(g1^2*g2^2*g3^2) + (3*t^7.59*y)/(g1*g2^2*g3^4) + (3*t^7.59*y)/(g1*g2^4*g3^2) + (3*t^7.69*y)/(g2^4*g3^4) + 3*g2*g3*t^7.83*y + (g1*g2*t^7.92*y)/g3 + (g1*g3*t^7.92*y)/g2 - (t^8.67*y)/(g1^2*g2*g3^5) - (t^8.67*y)/(g1^2*g2^3*g3^3) - (t^8.67*y)/(g1^2*g2^5*g3) - (3*t^8.76*y)/(g1*g2^3*g3^5) - (3*t^8.76*y)/(g1*g2^5*g3^3) + (g2^4*t^8.81*y)/g1^2 + (2*g2^2*g3^2*t^8.81*y)/g1^2 + (g3^4*t^8.81*y)/g1^2 - (6*t^8.86*y)/(g2^5*g3^5) + (3*g2^2*t^8.91*y)/g1 + (3*g3^2*t^8.91*y)/g1 |
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 |
|---|---|---|---|---|---|---|---|---|
| 46304 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_2M_3$ | 0.7125 | 0.866 | 0.8228 | [X:[], M:[0.9101, 1.0, 1.0, 0.9101], q:[0.6348, 0.4551], qb:[0.5449, 0.5449], phi:[0.4551]] | 3*t^2.73 + 2*t^3. + 2*t^3.54 + t^4.1 + 2*t^4.37 + 4*t^4.63 + 2*t^4.9 + t^5.17 + 5*t^5.46 + 2*t^5.73 - 3*t^6. - t^4.37/y - t^4.37*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 |
|---|---|---|---|---|---|---|---|---|---|
| 45875 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ | 0.7566 | 0.9235 | 0.8193 | [X:[], M:[0.7979, 0.7634, 0.7634], q:[0.5665, 0.6356], qb:[0.601, 0.601], phi:[0.399]] | 2*t^2.29 + 2*t^2.39 + 2*t^3.5 + t^3.61 + 3*t^4.58 + t^4.6 + 4*t^4.68 + 2*t^4.7 + 3*t^4.79 + 4*t^4.8 + 2*t^4.91 + t^5.01 + 3*t^5.79 + 2*t^5.9 - 4*t^6. - t^4.2/y - t^4.2*y | detail |