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 |
|---|---|---|---|---|---|---|---|---|---|
| 337 | 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_3^2$ | 0.7289 | 0.8891 | 0.8198 | [X:[], M:[0.7491, 1.1255, 1.0, 0.8745, 0.8745], q:[0.6255, 0.6255], qb:[0.5, 0.5], phi:[0.4373]] | [X:[], M:[[-4, -4, 0], [2, 2, 0], [0, 0, 0], [-4, 0, 1], [0, -4, -1]], q:[[4, 0, 0], [0, 4, 0]], qb:[[0, 0, -1], [0, 0, 1]], phi:[[-1, -1, 0]]] | 3 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ M_5$, $ M_4$, $ M_3$, $ M_2$, $ q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_2^2$, $ M_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ M_1M_5$, $ M_1M_4$, $ \phi_1q_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_2^2$, $ M_1M_3$, $ M_4M_5$, $ M_5^2$, $ M_4^2$, $ M_1M_2$ | $M_2M_4$, $ M_2M_5$, $ M_4q_2\tilde{q}_1$, $ M_5q_2\tilde{q}_1$, $ M_4q_1\tilde{q}_2$, $ M_5q_1\tilde{q}_2$ | -1 | t^2.25 + 2*t^2.62 + t^3. + 3*t^3.38 + 3*t^4.31 + t^4.49 + 4*t^4.69 + 2*t^4.87 + 3*t^5.06 + 4*t^5.25 + t^5.62 - t^6. - t^6.38 + 3*t^6.56 + t^6.74 + 5*t^6.75 + 6*t^6.94 + 2*t^7.12 + 7*t^7.31 + 4*t^7.49 + 8*t^7.69 + 5*t^7.87 + 4*t^8.06 - 3*t^8.25 + 2*t^8.44 - t^8.62 + 3*t^8.81 + t^8.99 - t^4.31/y - t^6.56/y - (2*t^6.94)/y + (2*t^7.69)/y + (2*t^7.87)/y + t^8.06/y + (2*t^8.25)/y + (5*t^8.62)/y - t^8.81/y - t^4.31*y - t^6.56*y - 2*t^6.94*y + 2*t^7.69*y + 2*t^7.87*y + t^8.06*y + 2*t^8.25*y + 5*t^8.62*y - t^8.81*y | t^2.25/(g1^4*g2^4) + t^2.62/(g2^4*g3) + (g3*t^2.62)/g1^4 + t^3. + g1^2*g2^2*t^3.38 + (g2^4*t^3.38)/g3 + g1^4*g3*t^3.38 + t^4.31/(g1*g2) + t^4.31/(g1*g2*g3^2) + (g3^2*t^4.31)/(g1*g2) + t^4.49/(g1^8*g2^8) + (g1^3*t^4.69)/(g2*g3) + (g2^3*t^4.69)/(g1*g3) + (g1^3*g3*t^4.69)/g2 + (g2^3*g3*t^4.69)/g1 + t^4.87/(g1^4*g2^8*g3) + (g3*t^4.87)/(g1^8*g2^4) + (g1^7*t^5.06)/g2 + g1^3*g2^3*t^5.06 + (g2^7*t^5.06)/g1 + (2*t^5.25)/(g1^4*g2^4) + t^5.25/(g2^8*g3^2) + (g3^2*t^5.25)/g1^8 + t^5.62/(g1^2*g2^2) - 3*t^6. + (g1^2*t^6.)/(g2^2*g3) + (g2^2*g3*t^6.)/g1^2 + g1^2*g2^2*t^6.38 - (g1^4*t^6.38)/g3 - g2^4*g3*t^6.38 + t^6.56/(g1^5*g2^5) + t^6.56/(g1^5*g2^5*g3^2) + (g3^2*t^6.56)/(g1^5*g2^5) + t^6.74/(g1^12*g2^12) + g1^4*g2^4*t^6.75 + (g2^8*t^6.75)/g3^2 + (g1^2*g2^6*t^6.75)/g3 + g1^6*g2^2*g3*t^6.75 + g1^8*g3^2*t^6.75 + t^6.94/(g1*g2^5*g3^3) + t^6.94/(g1*g2^5*g3) + t^6.94/(g1^5*g2*g3) + (g3*t^6.94)/(g1*g2^5) + (g3*t^6.94)/(g1^5*g2) + (g3^3*t^6.94)/(g1^5*g2) + t^7.12/(g1^8*g2^12*g3) + (g3*t^7.12)/(g1^12*g2^8) + (g1^3*t^7.31)/g2^5 + t^7.31/(g1*g2) + (g2^3*t^7.31)/g1^5 + (g1^3*t^7.31)/(g2^5*g3^2) + t^7.31/(g1*g2*g3^2) + (g3^2*t^7.31)/(g1*g2) + (g2^3*g3^2*t^7.31)/g1^5 + (2*t^7.49)/(g1^8*g2^8) + t^7.49/(g1^4*g2^12*g3^2) + (g3^2*t^7.49)/(g1^12*g2^4) + (g2^3*t^7.69)/(g1*g3^3) + (g1^7*t^7.69)/(g2^5*g3) + (g1^3*t^7.69)/(g2*g3) + (g2^3*t^7.69)/(g1*g3) + (g1^3*g3*t^7.69)/g2 + (g2^3*g3*t^7.69)/g1 + (g2^7*g3*t^7.69)/g1^5 + (g1^3*g3^3*t^7.69)/g2 + t^7.87/(g1^6*g2^6) + t^7.87/(g2^12*g3^3) + t^7.87/(g1^4*g2^8*g3) + (g3*t^7.87)/(g1^8*g2^4) + (g3^3*t^7.87)/g1^12 + (g1^7*t^8.06)/g2 + (g2^7*t^8.06)/g1 + (g2^7*t^8.06)/(g1*g3^2) + (g1^7*g3^2*t^8.06)/g2 - (3*t^8.25)/(g1^4*g2^4) - t^8.25/(g1^4*g2^4*g3^2) + t^8.25/(g1^2*g2^6*g3) + (g3*t^8.25)/(g1^6*g2^2) - (g3^2*t^8.25)/(g1^4*g2^4) + (g2^11*t^8.44)/(g1*g3) + (g1^11*g3*t^8.44)/g2 + (3*t^8.62)/(g1^2*g2^2) + t^8.62/(g1^2*g2^2*g3^4) + (g1^2*t^8.62)/(g2^6*g3^2) + t^8.62/(g1^2*g2^2*g3^2) - t^8.62/(g1^4*g3) - (4*t^8.62)/(g2^4*g3) - (4*g3*t^8.62)/g1^4 - (g3*t^8.62)/g2^4 + (g3^2*t^8.62)/(g1^2*g2^2) + (g2^2*g3^2*t^8.62)/g1^6 + (g3^4*t^8.62)/(g1^2*g2^2) + t^8.81/(g1^9*g2^9) + t^8.81/(g1^9*g2^9*g3^2) + (g3^2*t^8.81)/(g1^9*g2^9) + t^8.99/(g1^16*g2^16) - t^4.31/(g1*g2*y) - t^6.56/(g1^5*g2^5*y) - t^6.94/(g1*g2^5*g3*y) - (g3*t^6.94)/(g1^5*g2*y) + (g1^3*t^7.69)/(g2*g3*y) + (g2^3*g3*t^7.69)/(g1*y) + t^7.87/(g1^4*g2^8*g3*y) + (g3*t^7.87)/(g1^8*g2^4*y) + (g1^3*g2^3*t^8.06)/y + (2*t^8.25)/(g1^4*g2^4*y) + t^8.62/(g1^2*g2^2*y) + t^8.62/(g1^4*g3*y) + t^8.62/(g2^4*g3*y) + (g3*t^8.62)/(g1^4*y) + (g3*t^8.62)/(g2^4*y) - t^8.81/(g1^9*g2^9*y) - (t^4.31*y)/(g1*g2) - (t^6.56*y)/(g1^5*g2^5) - (t^6.94*y)/(g1*g2^5*g3) - (g3*t^6.94*y)/(g1^5*g2) + (g1^3*t^7.69*y)/(g2*g3) + (g2^3*g3*t^7.69*y)/g1 + (t^7.87*y)/(g1^4*g2^8*g3) + (g3*t^7.87*y)/(g1^8*g2^4) + g1^3*g2^3*t^8.06*y + (2*t^8.25*y)/(g1^4*g2^4) + (t^8.62*y)/(g1^2*g2^2) + (t^8.62*y)/(g1^4*g3) + (t^8.62*y)/(g2^4*g3) + (g3*t^8.62*y)/g1^4 + (g3*t^8.62*y)/g2^4 - (t^8.81*y)/(g1^9*g2^9) |
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 |
|---|---|---|---|---|---|---|---|---|
| 532 | $M_1q_1q_2$ + $ 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_3^2$ + $ M_1M_4$ | 0.6998 | 0.8569 | 0.8166 | [X:[], M:[0.9424, 1.0288, 1.0, 1.0576, 0.8849], q:[0.4843, 0.5732], qb:[0.4581, 0.5419], phi:[0.4856]] | t^2.65 + t^2.83 + t^3. + t^3.08 + 2*t^3.09 + t^3.17 + t^4.21 + t^4.28 + t^4.36 + t^4.46 + t^4.54 + t^4.55 + t^4.63 + t^4.71 + t^4.8 + t^4.9 + t^5.31 + t^5.48 + t^5.65 + t^5.74 + t^5.83 + t^5.91 - 2*t^6. - t^4.46/y - t^4.46*y | detail | |
| 531 | $M_1q_1q_2$ + $ 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_3^2$ + $ M_4^2$ | 0.7184 | 0.8775 | 0.8187 | [X:[], M:[0.8179, 1.091, 1.0, 1.0, 0.8179], q:[0.541, 0.6411], qb:[0.459, 0.541], 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 |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 212 | 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$ | 0.7546 | 0.9174 | 0.8226 | [X:[], M:[0.7904, 1.2096, 0.7904, 0.7904, 0.7904], 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 |