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 |
|---|---|---|---|---|---|---|---|---|---|
| 528 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ + $ M_2M_4$ | 0.7369 | 0.9109 | 0.809 | [X:[], M:[0.8862, 1.0, 0.7723, 1.0, 0.7723], q:[0.5569, 0.5569], qb:[0.4431, 0.6707], phi:[0.4431]] | [X:[], M:[[0, -2], [1, -1], [-1, -3], [-1, 1], [1, -5]], q:[[-1, 2], [1, 0]], qb:[[0, -1], [0, 3]], phi:[[0, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_3$, $ M_1$, $ \phi_1^2$, $ M_2$, $ M_4$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ M_5^2$, $ M_3M_5$, $ M_3^2$, $ \phi_1q_2^2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1^2$, $ M_1M_5$, $ M_5\phi_1^2$, $ M_1M_3$, $ M_3\phi_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ M_2M_5$, $ M_1^2$, $ M_2M_3$, $ M_4M_5$, $ M_1\phi_1^2$, $ \phi_1^4$, $ M_3M_4$, $ \phi_1\tilde{q}_2^2$, $ M_1M_2$, $ M_2\phi_1^2$, $ M_5\tilde{q}_1\tilde{q}_2$, $ M_1M_4$, $ M_4\phi_1^2$, $ M_3\tilde{q}_1\tilde{q}_2$ | $M_2^2$, $ M_4^2$, $ M_1\tilde{q}_1\tilde{q}_2$ | -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 | (g1*t^2.32)/g2^5 + t^2.32/(g1*g2^3) + (2*t^2.66)/g2^2 + (g1*t^3.)/g2 + (g2*t^3.)/g1 + g2^2*t^3.34 + t^3.99/g2^3 + t^4.33/g1 + (g1*t^4.33)/g2^2 + (g1^2*t^4.63)/g2^10 + t^4.63/g2^8 + t^4.63/(g1^2*g2^6) + (g1^2*t^4.67)/g2 + 2*g2*t^4.67 + (g2^3*t^4.67)/g1^2 + (2*g1*t^4.98)/g2^7 + (2*t^4.98)/(g1*g2^5) + g1*g2^2*t^5.01 + (g2^4*t^5.01)/g1 + (g1^2*t^5.32)/g2^6 + (4*t^5.32)/g2^4 + t^5.32/(g1^2*g2^2) + g2^5*t^5.35 + (g1*t^5.66)/g2^3 + t^5.66/(g1*g2) - t^6. + (g1*t^6.3)/g2^8 + t^6.3/(g1*g2^6) - g1*g2*t^6.34 - (g2^3*t^6.34)/g1 + (g1^2*t^6.65)/g2^7 + (3*t^6.65)/g2^5 + t^6.65/(g1^2*g2^3) - g2^4*t^6.68 + (g1^3*t^6.95)/g2^15 + (g1*t^6.95)/g2^13 + t^6.95/(g1*g2^11) + t^6.95/(g1^3*g2^9) + t^6.99/g1^3 + (g1^3*t^6.99)/g2^6 + (4*g1*t^6.99)/g2^4 + (4*t^6.99)/(g1*g2^2) + (2*g1^2*t^7.29)/g2^12 + (2*t^7.29)/g2^10 + (2*t^7.29)/(g1^2*g2^8) + (3*g1^2*t^7.33)/g2^3 + (4*t^7.33)/g2 + (3*g2*t^7.33)/g1^2 + (g1^3*t^7.63)/g2^11 + (4*g1*t^7.63)/g2^9 + (4*t^7.63)/(g1*g2^7) + t^7.63/(g1^3*g2^5) + 2*g1*t^7.67 + (g1^3*t^7.67)/g2^2 + (2*g2^2*t^7.67)/g1 + (g2^4*t^7.67)/g1^3 + (g1^2*t^7.98)/g2^8 + (5*t^7.98)/g2^6 + t^7.98/(g1^2*g2^4) - (g1*t^8.32)/g2^5 - t^8.32/(g1*g2^3) - g1*g2^4*t^8.35 - (g2^6*t^8.35)/g1 + (g1^2*t^8.62)/g2^13 + t^8.62/g2^11 + t^8.62/(g1^2*g2^9) - t^8.66/g1^2 - (g1^2*t^8.66)/g2^4 - (5*t^8.66)/g2^2 - g2^7*t^8.7 + (g1^3*t^8.96)/g2^12 + (3*g1*t^8.96)/g2^10 + (3*t^8.96)/(g1*g2^8) + t^8.96/(g1^3*g2^6) - t^4.33/(g2*y) - (g1*t^6.65)/(g2^6*y) - t^6.65/(g1*g2^4*y) - (2*t^6.99)/(g2^3*y) + t^7.63/(g2^8*y) + (2*g2*t^7.67)/y + (2*g1*t^7.98)/(g2^7*y) + (2*t^7.98)/(g1*g2^5*y) + (g1*g2^2*t^8.01)/y + (g2^4*t^8.01)/(g1*y) + (g1^2*t^8.32)/(g2^6*y) + (3*t^8.32)/(g2^4*y) + t^8.32/(g1^2*g2^2*y) + (3*g1*t^8.66)/(g2^3*y) + (3*t^8.66)/(g1*g2*y) - (g1^2*t^8.96)/(g2^11*y) - t^8.96/(g2^9*y) - t^8.96/(g1^2*g2^7*y) - (t^4.33*y)/g2 - (g1*t^6.65*y)/g2^6 - (t^6.65*y)/(g1*g2^4) - (2*t^6.99*y)/g2^3 + (t^7.63*y)/g2^8 + 2*g2*t^7.67*y + (2*g1*t^7.98*y)/g2^7 + (2*t^7.98*y)/(g1*g2^5) + g1*g2^2*t^8.01*y + (g2^4*t^8.01*y)/g1 + (g1^2*t^8.32*y)/g2^6 + (3*t^8.32*y)/g2^4 + (t^8.32*y)/(g1^2*g2^2) + (3*g1*t^8.66*y)/g2^3 + (3*t^8.66*y)/(g1*g2) - (g1^2*t^8.96*y)/g2^11 - (t^8.96*y)/g2^9 - (t^8.96*y)/(g1^2*g2^7) |
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 |
|---|---|---|---|---|---|---|---|---|
| 823 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ + $ M_2M_4$ + $ M_5^2$ | 0.706 | 0.8681 | 0.8132 | [X:[], M:[0.9624, 1.0751, 0.8498, 0.9249, 1.0], q:[0.4437, 0.5939], qb:[0.4812, 0.5563], 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 | |
| 824 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ + $ M_2M_4$ + $ M_6\phi_1\tilde{q}_1^2$ | 0.7577 | 0.9523 | 0.7957 | [X:[], M:[0.8866, 1.0, 0.7731, 1.0, 0.7731, 0.6702], q:[0.5567, 0.5567], qb:[0.4433, 0.6702], 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 |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 336 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ | 0.7904 | 0.9838 | 0.8034 | [X:[], M:[0.7619, 0.7619, 0.7619, 0.7619, 0.7619], q:[0.619, 0.619], qb:[0.619, 0.619], phi:[0.381]] | 6*t^2.29 + t^3.71 + 21*t^4.57 + 10*t^4.86 - 10*t^6. - t^4.14/y - t^4.14*y | detail | {a: 1859/2352, c: 1157/1176, M1: 16/21, M2: 16/21, M3: 16/21, M4: 16/21, M5: 16/21, q1: 13/21, q2: 13/21, qb1: 13/21, qb2: 13/21, phi1: 8/21} |