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 |
|---|---|---|---|---|---|---|---|---|---|
| 52 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ | 0.7232 | 0.8641 | 0.8369 | [X:[], M:[0.837], q:[0.5815, 0.5815], qb:[0.5815, 0.5815], phi:[0.4185]] | [X:[], M:[[0, -2, -2]], q:[[-1, 2, 2], [1, 0, 0]], qb:[[0, 2, 0], [0, 0, 2]], phi:[[0, -1, -1]]] | 3 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ \phi_1^2$, $ q_2\tilde{q}_1$, $ q_2\tilde{q}_2$, $ \tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1^2$, $ M_1^2$, $ M_1\phi_1^2$, $ \phi_1^4$ | $M_1\tilde{q}_1\tilde{q}_2$ | -6 | 2*t^2.51 + 5*t^3.49 + 10*t^4.74 + 3*t^5.02 - 6*t^6. + 14*t^6.98 + 5*t^7.26 + 4*t^7.53 + 25*t^8.23 - 7*t^8.51 - t^4.26/y - (2*t^6.77)/y + (2*t^7.74)/y + t^8.02/y - t^4.26*y - 2*t^6.77*y + 2*t^7.74*y + t^8.02*y | (2*t^2.51)/(g2^2*g3^2) + g1*g2^2*t^3.49 + g1*g3^2*t^3.49 + g2^2*g3^2*t^3.49 + (g2^4*g3^2*t^3.49)/g1 + (g2^2*g3^4*t^3.49)/g1 + (g1^2*t^4.74)/(g2*g3) + (g1*g2*t^4.74)/g3 + (g2^3*t^4.74)/g3 + (g1*g3*t^4.74)/g2 + 2*g2*g3*t^4.74 + (g2^3*g3*t^4.74)/g1 + (g3^3*t^4.74)/g2 + (g2*g3^3*t^4.74)/g1 + (g2^3*g3^3*t^4.74)/g1^2 + (3*t^5.02)/(g2^4*g3^4) - 2*t^6. - (g1^2*t^6.)/(g2^2*g3^2) - (g2^2*t^6.)/g3^2 - (g3^2*t^6.)/g2^2 - (g2^2*g3^2*t^6.)/g1^2 + g1^2*g2^4*t^6.98 + g1^2*g2^2*g3^2*t^6.98 + g1*g2^4*g3^2*t^6.98 + g2^6*g3^2*t^6.98 + g1^2*g3^4*t^6.98 + g1*g2^2*g3^4*t^6.98 + 2*g2^4*g3^4*t^6.98 + (g2^6*g3^4*t^6.98)/g1 + (g2^8*g3^4*t^6.98)/g1^2 + g2^2*g3^6*t^6.98 + (g2^4*g3^6*t^6.98)/g1 + (g2^6*g3^6*t^6.98)/g1^2 + (g2^4*g3^8*t^6.98)/g1^2 + (g1^2*t^7.26)/(g2^3*g3^3) + (g2*t^7.26)/g3^3 + t^7.26/(g2*g3) + (g3*t^7.26)/g2^3 + (g2*g3*t^7.26)/g1^2 + (4*t^7.53)/(g2^6*g3^6) + (g1^3*g2*t^8.23)/g3 + (g1^2*g2^3*t^8.23)/g3 + (g1*g2^5*t^8.23)/g3 + (g1^3*g3*t^8.23)/g2 + g1^2*g2*g3*t^8.23 + 2*g1*g2^3*g3*t^8.23 + g2^5*g3*t^8.23 + (g2^7*g3*t^8.23)/g1 + (g1^2*g3^3*t^8.23)/g2 + 2*g1*g2*g3^3*t^8.23 + g2^3*g3^3*t^8.23 + (2*g2^5*g3^3*t^8.23)/g1 + (g2^7*g3^3*t^8.23)/g1^2 + (g1*g3^5*t^8.23)/g2 + g2*g3^5*t^8.23 + (2*g2^3*g3^5*t^8.23)/g1 + (g2^5*g3^5*t^8.23)/g1^2 + (g2^7*g3^5*t^8.23)/g1^3 + (g2*g3^7*t^8.23)/g1 + (g2^3*g3^7*t^8.23)/g1^2 + (g2^5*g3^7*t^8.23)/g1^3 - t^8.51/g1^2 - t^8.51/g2^4 - t^8.51/g3^4 - (g1^2*t^8.51)/(g2^4*g3^4) - (3*t^8.51)/(g2^2*g3^2) - t^4.26/(g2*g3*y) - (2*t^6.77)/(g2^3*g3^3*y) + (2*g2*g3*t^7.74)/y + t^8.02/(g2^4*g3^4*y) - (t^4.26*y)/(g2*g3) - (2*t^6.77*y)/(g2^3*g3^3) + 2*g2*g3*t^7.74*y + (t^8.02*y)/(g2^4*g3^4) |
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 |
|---|---|---|---|---|---|---|---|---|
| 78 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ | 0.7103 | 0.8462 | 0.8394 | [X:[], M:[0.8699, 1.1301], q:[0.5651, 0.5651], qb:[0.5651, 0.5651], phi:[0.4349]] | t^2.61 + 6*t^3.39 + 10*t^4.7 + t^5.22 - 10*t^6. - t^4.3/y - t^4.3*y | detail | |
| 79 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ | 0.7394 | 0.8922 | 0.8287 | [X:[], M:[0.8151, 0.7774], q:[0.6113, 0.5736], 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 | |
| 45841 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ | 0.7394 | 0.8922 | 0.8287 | [X:[], M:[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 | |
| 45845 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_2^2$ | 0.6696 | 0.8036 | 0.8333 | [X:[], M:[0.7619], q:[0.4286, 0.8095], qb:[0.619, 0.619], phi:[0.381]] | 2*t^2.29 + 2*t^3.14 + 2*t^3.71 + 4*t^4.29 + 3*t^4.57 + 3*t^4.86 + 2*t^5.43 - 2*t^6. - t^4.14/y - t^4.14*y | detail | {a: 75/112, c: 45/56, M1: 16/21, q1: 3/7, q2: 17/21, qb1: 13/21, qb2: 13/21, phi1: 8/21} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 55797 | SU2adj1nf3 | $M_1q_1q_2$ + $ M_1\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_3^2$ + $ q_3\tilde{q}_3$ | 0.7232 | 0.8641 | 0.8369 | [X:[], M:[0.837], q:[0.5815, 0.5815, 0.7908], qb:[0.5815, 0.5815, 1.2092], phi:[0.4185]] | 2*t^2.51 + 5*t^3.49 + 10*t^4.74 + 3*t^5.02 - 6*t^6. - t^4.26/y - t^4.26*y | detail |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 40 | SU2adj1nf2 | $M_1q_1q_2$ | 0.7247 | 0.8687 | 0.8342 | [X:[], M:[0.7995], q:[0.6003, 0.6003], qb:[0.5581, 0.5581], phi:[0.4208]] | t^2.4 + t^2.52 + t^3.35 + 4*t^3.48 + 3*t^4.61 + 4*t^4.74 + t^4.8 + 3*t^4.86 + t^4.92 + t^5.05 + t^5.75 + t^5.87 - 4*t^6. - t^4.26/y - t^4.26*y | detail |