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 |
|---|---|---|---|---|---|---|---|---|---|
| 46521 | 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$ + $ M_3M_4$ + $ \phi_1^2q_2\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ | 0.7369 | 0.9109 | 0.809 | [X:[], M:[0.7723, 0.7723, 1.0, 1.0, 0.8862], q:[0.6707, 0.5569], qb:[0.5569, 0.4431], phi:[0.4431]] | [X:[], M:[[1, 5], [-1, 3], [-1, -1], [1, 1], [0, 2]], q:[[0, -3], [-1, -2]], qb:[[1, 0], [0, 1]], phi:[[0, 1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_1$, $ M_5$, $ \phi_1^2$, $ M_3$, $ M_4$, $ q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2^2$, $ M_1M_2$, $ M_1^2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_2M_5$, $ M_2\phi_1^2$, $ M_1M_5$, $ M_1\phi_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_1$, $ M_2M_3$, $ M_1M_3$, $ M_2M_4$, $ M_5^2$, $ M_5\phi_1^2$, $ \phi_1^4$, $ M_1M_4$, $ \phi_1q_1^2$, $ M_3M_5$, $ M_3\phi_1^2$, $ M_2q_2\tilde{q}_1$, $ M_4M_5$, $ M_4\phi_1^2$ | $M_3^2$, $ M_4^2$, $ M_5q_2\tilde{q}_1$ | -1 | 2*t^2.32 + 2*t^2.66 + 2*t^3. + t^3.34 + t^3.99 + 2*t^4.33 + 3*t^4.63 + 4*t^4.67 + 4*t^4.98 + 2*t^5.01 + 6*t^5.32 + t^5.35 + 2*t^5.66 - t^6. + 2*t^6.3 - 2*t^6.34 + 5*t^6.65 - t^6.68 + 4*t^6.95 + 10*t^6.99 + 6*t^7.29 + 10*t^7.33 + 10*t^7.63 + 6*t^7.67 + 7*t^7.98 - 2*t^8.32 - 2*t^8.35 + 3*t^8.62 - 7*t^8.66 - t^8.7 + 8*t^8.96 - t^4.33/y - (2*t^6.65)/y - (2*t^6.99)/y + t^7.63/y + (2*t^7.67)/y + (4*t^7.98)/y + (2*t^8.01)/y + (5*t^8.32)/y + (6*t^8.66)/y - (3*t^8.96)/y - t^4.33*y - 2*t^6.65*y - 2*t^6.99*y + t^7.63*y + 2*t^7.67*y + 4*t^7.98*y + 2*t^8.01*y + 5*t^8.32*y + 6*t^8.66*y - 3*t^8.96*y | (g2^3*t^2.32)/g1 + g1*g2^5*t^2.32 + 2*g2^2*t^2.66 + t^3./(g1*g2) + g1*g2*t^3. + t^3.34/g2^2 + g2^3*t^3.99 + t^4.33/g1 + g1*g2^2*t^4.33 + (g2^6*t^4.63)/g1^2 + g2^8*t^4.63 + g1^2*g2^10*t^4.63 + t^4.67/(g1^2*g2^3) + (2*t^4.67)/g2 + g1^2*g2*t^4.67 + (2*g2^5*t^4.98)/g1 + 2*g1*g2^7*t^4.98 + t^5.01/(g1*g2^4) + (g1*t^5.01)/g2^2 + (g2^2*t^5.32)/g1^2 + 4*g2^4*t^5.32 + g1^2*g2^6*t^5.32 + t^5.35/g2^5 + (g2*t^5.66)/g1 + g1*g2^3*t^5.66 - t^6. + (g2^6*t^6.3)/g1 + g1*g2^8*t^6.3 - t^6.34/(g1*g2^3) - (g1*t^6.34)/g2 + (g2^3*t^6.65)/g1^2 + 3*g2^5*t^6.65 + g1^2*g2^7*t^6.65 - t^6.68/g2^4 + (g2^9*t^6.95)/g1^3 + (g2^11*t^6.95)/g1 + g1*g2^13*t^6.95 + g1^3*g2^15*t^6.95 + t^6.99/g1^3 + (4*g2^2*t^6.99)/g1 + 4*g1*g2^4*t^6.99 + g1^3*g2^6*t^6.99 + (2*g2^8*t^7.29)/g1^2 + 2*g2^10*t^7.29 + 2*g1^2*g2^12*t^7.29 + (3*t^7.33)/(g1^2*g2) + 4*g2*t^7.33 + 3*g1^2*g2^3*t^7.33 + (g2^5*t^7.63)/g1^3 + (4*g2^7*t^7.63)/g1 + 4*g1*g2^9*t^7.63 + g1^3*g2^11*t^7.63 + 2*g1*t^7.67 + t^7.67/(g1^3*g2^4) + (2*t^7.67)/(g1*g2^2) + g1^3*g2^2*t^7.67 + (g2^4*t^7.98)/g1^2 + 5*g2^6*t^7.98 + g1^2*g2^8*t^7.98 - (g2^3*t^8.32)/g1 - g1*g2^5*t^8.32 - t^8.35/(g1*g2^6) - (g1*t^8.35)/g2^4 + (g2^9*t^8.62)/g1^2 + g2^11*t^8.62 + g1^2*g2^13*t^8.62 - t^8.66/g1^2 - 5*g2^2*t^8.66 - g1^2*g2^4*t^8.66 - t^8.7/g2^7 + (g2^6*t^8.96)/g1^3 + (3*g2^8*t^8.96)/g1 + 3*g1*g2^10*t^8.96 + g1^3*g2^12*t^8.96 - (g2*t^4.33)/y - (g2^4*t^6.65)/(g1*y) - (g1*g2^6*t^6.65)/y - (2*g2^3*t^6.99)/y + (g2^8*t^7.63)/y + (2*t^7.67)/(g2*y) + (2*g2^5*t^7.98)/(g1*y) + (2*g1*g2^7*t^7.98)/y + t^8.01/(g1*g2^4*y) + (g1*t^8.01)/(g2^2*y) + (g2^2*t^8.32)/(g1^2*y) + (3*g2^4*t^8.32)/y + (g1^2*g2^6*t^8.32)/y + (3*g2*t^8.66)/(g1*y) + (3*g1*g2^3*t^8.66)/y - (g2^7*t^8.96)/(g1^2*y) - (g2^9*t^8.96)/y - (g1^2*g2^11*t^8.96)/y - g2*t^4.33*y - (g2^4*t^6.65*y)/g1 - g1*g2^6*t^6.65*y - 2*g2^3*t^6.99*y + g2^8*t^7.63*y + (2*t^7.67*y)/g2 + (2*g2^5*t^7.98*y)/g1 + 2*g1*g2^7*t^7.98*y + (t^8.01*y)/(g1*g2^4) + (g1*t^8.01*y)/g2^2 + (g2^2*t^8.32*y)/g1^2 + 3*g2^4*t^8.32*y + g1^2*g2^6*t^8.32*y + (3*g2*t^8.66*y)/g1 + 3*g1*g2^3*t^8.66*y - (g2^7*t^8.96*y)/g1^2 - g2^9*t^8.96*y - g1^2*g2^11*t^8.96*y |
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 |
|---|---|---|---|---|---|---|---|---|
| 47067 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3M_4$ + $ \phi_1^2q_2\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ + $ M_2^2$ | 0.706 | 0.8681 | 0.8132 | [X:[], M:[0.8498, 1.0, 1.0751, 0.9249, 0.9624], q:[0.5563, 0.5939], qb:[0.4437, 0.4812], phi:[0.4812]] | t^2.55 + t^2.77 + 2*t^2.89 + t^3. + t^3.11 + t^3.23 + t^4.11 + t^4.22 + t^4.33 + t^4.44 + 2*t^4.56 + t^4.67 + t^4.78 + t^4.89 + t^5.01 + t^5.1 + t^5.32 + 2*t^5.44 + t^5.55 + t^5.66 + 4*t^5.77 + t^5.89 - t^4.44/y - t^4.44*y | detail | |
| 46961 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3M_4$ + $ \phi_1^2q_2\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ + $ M_6\phi_1\tilde{q}_2^2$ | 0.7577 | 0.9523 | 0.7957 | [X:[], M:[0.7731, 0.7731, 1.0, 1.0, 0.8866, 0.6702], q:[0.6702, 0.5567], qb:[0.5567, 0.4433], phi:[0.4433]] | t^2.01 + 2*t^2.32 + 2*t^2.66 + 2*t^3. + t^3.34 + t^4.02 + 4*t^4.33 + 3*t^4.64 + 6*t^4.67 + 4*t^4.98 + 4*t^5.01 + 6*t^5.32 + 2*t^5.35 + 2*t^5.66 - t^6. - t^4.33/y - t^4.33*y | detail | |
| 47033 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3M_4$ + $ \phi_1^2q_2\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ | 0.7476 | 0.931 | 0.803 | [X:[], M:[0.7516, 0.7516, 1.0, 1.0, 0.8758, 0.8758], q:[0.6863, 0.5621], qb:[0.5621, 0.4379], phi:[0.4379]] | 2*t^2.25 + 3*t^2.63 + 2*t^3. + t^3.94 + 2*t^4.31 + 3*t^4.51 + 4*t^4.69 + 6*t^4.88 + 2*t^5.06 + 9*t^5.25 + t^5.43 + 2*t^5.63 - 3*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46233 | 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$ + $ M_3M_4$ + $ \phi_1^2q_2\tilde{q}_1$ | 0.7271 | 0.893 | 0.8142 | [X:[], M:[0.7947, 0.7947, 1.0, 1.0], q:[0.654, 0.5513], qb:[0.5513, 0.4487], phi:[0.4487]] | 2*t^2.38 + t^2.69 + 2*t^3. + 2*t^3.31 + t^4.04 + 2*t^4.35 + 4*t^4.65 + 3*t^4.77 + 2*t^4.96 + 2*t^5.08 + t^5.27 + 4*t^5.38 + 2*t^5.69 - t^6. - t^4.35/y - t^4.35*y | detail |