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 |
|---|---|---|---|---|---|---|---|---|---|
| 1265 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_3q_1\tilde{q}_1$ + $ M_2M_3$ + $ M_4q_2\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ + $ M_4^2$ + $ M_1M_6$ | 0.7184 | 0.8712 | 0.8246 | [X:[], M:[0.891, 1.109, 0.891, 1.0, 0.7821, 1.109], q:[0.609, 0.5], qb:[0.5, 0.609], phi:[0.4455]] | [X:[], M:[[-2], [2], [-2], [0], [-4], [2]], q:[[2], [0]], qb:[[0], [2]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_3$, $ M_4$, $ M_2$, $ M_6$, $ q_2\tilde{q}_2$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_5^2$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_3M_5$, $ M_3^2$, $ M_4M_5$, $ M_3M_4$, $ M_2M_5$, $ M_5M_6$, $ M_5q_2\tilde{q}_2$, $ M_5\tilde{q}_1\tilde{q}_2$ | $M_3M_6$, $ M_3q_2\tilde{q}_2$, $ M_3\tilde{q}_1\tilde{q}_2$ | -3 | t^2.35 + t^2.67 + t^3. + 4*t^3.33 + 3*t^4.34 + 4*t^4.66 + t^4.69 + 3*t^4.99 + t^5.02 + 2*t^5.35 + t^5.67 - 3*t^6. + 9*t^6.65 + 3*t^6.68 + 3*t^7.01 + t^7.04 + 3*t^7.34 + t^7.37 + 8*t^7.66 + 2*t^7.69 + 8*t^7.99 + 2*t^8.02 + 5*t^8.32 - 3*t^8.35 + 2*t^8.67 - t^4.34/y - t^6.68/y - t^7.01/y + t^7.66/y + t^7.99/y + t^8.02/y + t^8.35/y + (5*t^8.67)/y - t^4.34*y - t^6.68*y - t^7.01*y + t^7.66*y + t^7.99*y + t^8.02*y + t^8.35*y + 5*t^8.67*y | t^2.35/g1^4 + t^2.67/g1^2 + t^3. + 4*g1^2*t^3.33 + (3*t^4.34)/g1 + 4*g1*t^4.66 + t^4.69/g1^8 + 3*g1^3*t^4.99 + t^5.02/g1^6 + (2*t^5.35)/g1^4 + t^5.67/g1^2 - 3*t^6. + 9*g1^4*t^6.65 + (3*t^6.68)/g1^5 + (3*t^7.01)/g1^3 + t^7.04/g1^12 + (3*t^7.34)/g1 + t^7.37/g1^10 + 8*g1*t^7.66 + (2*t^7.69)/g1^8 + 8*g1^3*t^7.99 + (2*t^8.02)/g1^6 + 5*g1^5*t^8.32 - (3*t^8.35)/g1^4 + (2*t^8.67)/g1^2 - t^4.34/(g1*y) - t^6.68/(g1^5*y) - t^7.01/(g1^3*y) + (g1*t^7.66)/y + (g1^3*t^7.99)/y + t^8.02/(g1^6*y) + t^8.35/(g1^4*y) + (5*t^8.67)/(g1^2*y) - (t^4.34*y)/g1 - (t^6.68*y)/g1^5 - (t^7.01*y)/g1^3 + g1*t^7.66*y + g1^3*t^7.99*y + (t^8.02*y)/g1^6 + (t^8.35*y)/g1^4 + (5*t^8.67*y)/g1^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 2308 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_3q_1\tilde{q}_1$ + $ M_2M_3$ + $ M_4q_2\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ + $ M_4^2$ + $ M_1M_6$ + $ M_3M_7$ | 0.7093 | 0.857 | 0.8276 | [X:[], M:[0.9093, 1.0907, 0.9093, 1.0, 0.8187, 1.0907, 1.0907], q:[0.5907, 0.5], qb:[0.5, 0.5907], phi:[0.4547]] | t^2.46 + t^3. + 5*t^3.27 + 3*t^4.36 + 4*t^4.64 + 4*t^4.91 + t^5.46 + t^5.73 - 7*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 |
|---|---|---|---|---|---|---|---|---|---|
| 781 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_3q_1\tilde{q}_1$ + $ M_2M_3$ + $ M_4q_2\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ + $ M_4^2$ | 0.7289 | 0.8891 | 0.8198 | [X:[], M:[0.8745, 1.1255, 0.8745, 1.0, 0.7491], q:[0.6255, 0.5], qb:[0.5, 0.6255], phi:[0.4373]] | 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^4.31/y - t^4.31*y | detail |