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 |
|---|---|---|---|---|---|---|---|---|---|
| 492 | 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$ | 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]] | [X:[], M:[[-2, -2], [2, 2], [-2, -2], [-4, 0], [0, -4]], q:[[0, 2], [2, 0]], qb:[[2, 0], [0, 2]], phi:[[-1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_5$, $ M_1$, $ M_3$, $ M_2$, $ q_2\tilde{q}_2$, $ \tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ M_5^2$, $ M_1M_5$, $ M_3M_5$, $ M_1^2$, $ M_1M_3$, $ M_3^2$, $ M_4M_5$, $ M_1M_4$, $ M_3M_4$, $ \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$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$ | $M_1M_2$, $ M_2M_4$, $ M_2M_5$, $ M_3q_2\tilde{q}_2$, $ M_4q_2\tilde{q}_2$, $ M_5q_2\tilde{q}_2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_5\tilde{q}_1\tilde{q}_2$ | -4 | 4*t^2.37 + 3*t^3.63 + 10*t^4.74 + 10*t^4.81 - 4*t^6. + 20*t^7.11 + 25*t^7.19 + 5*t^7.26 - 24*t^8.37 + 5*t^8.44 - t^4.19/y - (4*t^6.56)/y + (6*t^7.74)/y + (4*t^7.81)/y - (10*t^8.93)/y - t^4.19*y - 4*t^6.56*y + 6*t^7.74*y + 4*t^7.81*y - 10*t^8.93*y | t^2.37/g1^4 + t^2.37/g2^4 + (2*t^2.37)/(g1^2*g2^2) + 3*g1^2*g2^2*t^3.63 + t^4.74/g1^8 + t^4.74/g2^8 + (2*t^4.74)/(g1^2*g2^6) + (4*t^4.74)/(g1^4*g2^4) + (2*t^4.74)/(g1^6*g2^2) + (3*g1^3*t^4.81)/g2 + 4*g1*g2*t^4.81 + (3*g2^3*t^4.81)/g1 - 2*t^6. - (g1^2*t^6.)/g2^2 - (g2^2*t^6.)/g1^2 + t^7.11/g1^12 + t^7.11/g2^12 + (2*t^7.11)/(g1^2*g2^10) + (4*t^7.11)/(g1^4*g2^8) + (6*t^7.11)/(g1^6*g2^6) + (4*t^7.11)/(g1^8*g2^4) + (2*t^7.11)/(g1^10*g2^2) + (3*g1^3*t^7.19)/g2^5 + (6*g1*t^7.19)/g2^3 + (7*t^7.19)/(g1*g2) + (6*g2*t^7.19)/g1^3 + (3*g2^3*t^7.19)/g1^5 + 5*g1^4*g2^4*t^7.26 - (7*t^8.37)/g1^4 - (g1^2*t^8.37)/g2^6 - (7*t^8.37)/g2^4 - (8*t^8.37)/(g1^2*g2^2) - (g2^2*t^8.37)/g1^6 + 2*g1^5*g2*t^8.44 + g1^3*g2^3*t^8.44 + 2*g1*g2^5*t^8.44 - t^4.19/(g1*g2*y) - t^6.56/(g1*g2^5*y) - (2*t^6.56)/(g1^3*g2^3*y) - t^6.56/(g1^5*g2*y) + (2*t^7.74)/(g1^2*g2^6*y) + (2*t^7.74)/(g1^4*g2^4*y) + (2*t^7.74)/(g1^6*g2^2*y) + (g1^3*t^7.81)/(g2*y) + (2*g1*g2*t^7.81)/y + (g2^3*t^7.81)/(g1*y) - t^8.93/(g1*g2^9*y) - (2*t^8.93)/(g1^3*g2^7*y) - (4*t^8.93)/(g1^5*g2^5*y) - (2*t^8.93)/(g1^7*g2^3*y) - t^8.93/(g1^9*g2*y) - (t^4.19*y)/(g1*g2) - (t^6.56*y)/(g1*g2^5) - (2*t^6.56*y)/(g1^3*g2^3) - (t^6.56*y)/(g1^5*g2) + (2*t^7.74*y)/(g1^2*g2^6) + (2*t^7.74*y)/(g1^4*g2^4) + (2*t^7.74*y)/(g1^6*g2^2) + (g1^3*t^7.81*y)/g2 + 2*g1*g2*t^7.81*y + (g2^3*t^7.81*y)/g1 - (t^8.93*y)/(g1*g2^9) - (2*t^8.93*y)/(g1^3*g2^7) - (4*t^8.93*y)/(g1^5*g2^5) - (2*t^8.93*y)/(g1^7*g2^3) - (t^8.93*y)/(g1^9*g2) |
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 |
|---|---|---|---|---|---|---|---|---|
| 782 | $M_1q_1q_2$ + $ \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_1M_5$ | 0.7087 | 0.8668 | 0.8176 | [X:[], M:[0.9413, 1.0587, 0.9413, 0.8239, 1.0587], q:[0.4707, 0.588], qb:[0.588, 0.4707], phi:[0.4707]] | t^2.47 + 2*t^2.82 + 4*t^3.18 + 3*t^4.24 + 4*t^4.59 + 4*t^4.94 + 2*t^5.3 + 3*t^5.65 - t^4.41/y - t^4.41*y | detail | |
| 781 | $M_1q_1q_2$ + $ \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 |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 316 | 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$ | 0.7394 | 0.8922 | 0.8287 | [X:[], M:[0.8151, 1.1849, 0.8151, 0.7774], q:[0.5736, 0.6113], qb:[0.6113, 0.5736], phi:[0.4075]] | t^2.33 + 2*t^2.45 + t^3.44 + 3*t^3.55 + 4*t^4.66 + 6*t^4.78 + 6*t^4.89 + t^5.77 + t^5.89 - 2*t^6. - t^4.22/y - t^4.22*y | detail |