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 |
|---|---|---|---|---|---|---|---|---|---|
| 99 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ | 0.6011 | 0.7381 | 0.8144 | [X:[], M:[1.154, 1.154], q:[0.75, 0.4419], qb:[0.404, 0.404], phi:[0.5]] | [X:[], M:[[0, 1], [1, 0]], q:[[0, 0], [-1, -1]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\tilde{q}_1\tilde{q}_2$, $ \phi_1^2$, $ M_2$, $ q_1\tilde{q}_1$, $ M_1$, $ q_1\tilde{q}_2$, $ q_1q_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_1^2\tilde{q}_2$, $ q_1\tilde{q}_1\tilde{q}_2^2$ | . | -4 | t^2.42 + t^3. + 4*t^3.46 + t^3.58 + 3*t^3.92 + 2*t^4.04 + t^4.15 + t^4.85 + t^5.42 + 2*t^5.89 - 4*t^6. - 2*t^6.11 + 3*t^6.35 + 2*t^6.46 + 9*t^6.92 + 2*t^7.04 + t^7.15 + t^7.27 + 8*t^7.39 + 3*t^7.5 + 2*t^7.61 + t^7.73 + 6*t^7.85 + 2*t^7.96 + 2*t^8.08 + 2*t^8.19 + t^8.3 + 2*t^8.31 - 4*t^8.42 - 2*t^8.54 + 3*t^8.77 - t^4.5/y + (2*t^7.04)/y - (2*t^7.96)/y + t^8.42/y + (4*t^8.89)/y - t^4.5*y + 2*t^7.04*y - 2*t^7.96*y + t^8.42*y + 4*t^8.89*y | g1*g2*t^2.42 + t^3. + 2*g1*t^3.46 + 2*g2*t^3.46 + t^3.58/(g1*g2) + g1^2*t^3.92 + g1*g2*t^3.92 + g2^2*t^3.92 + t^4.04/g1 + t^4.04/g2 + t^4.15/(g1^2*g2^2) + g1^2*g2^2*t^4.85 + g1*g2*t^5.42 + g1^2*g2*t^5.89 + g1*g2^2*t^5.89 - 2*t^6. - (g1*t^6.)/g2 - (g2*t^6.)/g1 - t^6.11/(g1*g2^2) - t^6.11/(g1^2*g2) + g1^3*g2*t^6.35 + g1^2*g2^2*t^6.35 + g1*g2^3*t^6.35 + g1*t^6.46 + g2*t^6.46 + 3*g1^2*t^6.92 + 3*g1*g2*t^6.92 + 3*g2^2*t^6.92 + t^7.04/g1 + t^7.04/g2 + t^7.15/(g1^2*g2^2) + g1^3*g2^3*t^7.27 + 2*g1^3*t^7.39 + 2*g1^2*g2*t^7.39 + 2*g1*g2^2*t^7.39 + 2*g2^3*t^7.39 + t^7.5 + (g1*t^7.5)/g2 + (g2*t^7.5)/g1 + t^7.61/(g1*g2^2) + t^7.61/(g1^2*g2) + t^7.73/(g1^3*g2^3) + g1^4*t^7.85 + g1^3*g2*t^7.85 + 2*g1^2*g2^2*t^7.85 + g1*g2^3*t^7.85 + g2^4*t^7.85 + (g1^2*t^7.96)/g2 + (g2^2*t^7.96)/g1 + t^8.08/g1^2 + t^8.08/g2^2 + t^8.19/(g1^2*g2^3) + t^8.19/(g1^3*g2^2) + t^8.3/(g1^4*g2^4) + g1^3*g2^2*t^8.31 + g1^2*g2^3*t^8.31 - g1^2*t^8.42 - 2*g1*g2*t^8.42 - g2^2*t^8.42 - t^8.54/g1 - t^8.54/g2 + g1^4*g2^2*t^8.77 + g1^3*g2^3*t^8.77 + g1^2*g2^4*t^8.77 - t^4.5/y + t^7.04/(g1*y) + t^7.04/(g2*y) - (g1*t^7.96)/y - (g2*t^7.96)/y + (g1*g2*t^8.42)/y + (2*g1^2*g2*t^8.89)/y + (2*g1*g2^2*t^8.89)/y - t^4.5*y + (t^7.04*y)/g1 + (t^7.04*y)/g2 - g1*t^7.96*y - g2*t^7.96*y + g1*g2*t^8.42*y + 2*g1^2*g2*t^8.89*y + 2*g1*g2^2*t^8.89*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 |
|---|---|---|---|---|---|---|---|---|
| 157 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6218 | 0.7781 | 0.7992 | [X:[], M:[1.1561, 1.1561, 0.6878], q:[0.75, 0.4378], qb:[0.4061, 0.4061], phi:[0.5]] | t^2.06 + t^2.44 + t^3. + 4*t^3.47 + t^3.56 + 2*t^3.94 + 2*t^4.03 + 2*t^4.13 + t^4.5 + t^4.87 + t^5.06 + t^5.44 + 4*t^5.53 + t^5.63 + 2*t^5.91 - 2*t^6. - t^4.5/y - t^4.5*y | detail | |
| 158 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ | 0.6219 | 0.7787 | 0.7986 | [X:[], M:[1.1511, 1.1598, 0.6804], q:[0.75, 0.4391], qb:[0.4098, 0.4011], phi:[0.5]] | t^2.04 + t^2.43 + t^3. + 2*t^3.45 + 2*t^3.48 + t^3.57 + t^3.91 + t^3.93 + t^4.02 + t^4.05 + t^4.08 + t^4.13 + t^4.47 + t^4.87 + t^5.04 + t^5.43 + 2*t^5.49 + 2*t^5.52 + t^5.61 + t^5.89 + t^5.91 + t^5.95 - 2*t^6. - t^4.5/y - t^4.5*y | detail | |
| 156 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ | 0.5859 | 0.7109 | 0.8242 | [X:[], M:[1.1667, 1.1667, 1.1667], q:[0.75, 0.4167], qb:[0.4167, 0.4167], phi:[0.5]] | t^3. + 6*t^3.5 + 6*t^4. - 9*t^6. - t^4.5/y - t^4.5*y | detail | {a: 75/128, c: 91/128, M1: 7/6, M2: 7/6, M3: 7/6, q1: 3/4, q2: 5/12, qb1: 5/12, qb2: 5/12, phi1: 1/2} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 64 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ | 0.6155 | 0.7629 | 0.8067 | [X:[], M:[1.1409], q:[0.75, 0.4296], qb:[0.4296, 0.3909], phi:[0.5]] | 2*t^2.46 + t^3. + 2*t^3.42 + 2*t^3.54 + t^3.85 + 2*t^3.96 + 3*t^4.08 + 3*t^4.92 + 2*t^5.46 + 2*t^5.88 - t^6. - t^4.5/y - t^4.5*y | detail |