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 |
|---|---|---|---|---|---|---|---|---|---|
| 157 | SU2adj1nf2 | $\phi_1q_1^2$ + $ 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]] | [X:[], M:[[0, 1], [1, 0], [-1, -1]], 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 |
|---|---|---|---|---|
| $M_3$, $ \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}_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ M_3^2$, $ \phi_1q_2^2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_3\phi_1^2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_1M_3$, $ M_3q_1\tilde{q}_2$, $ M_2M_3$, $ M_3q_1\tilde{q}_1$, $ M_3q_1q_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$ | $M_3\phi_1\tilde{q}_1^2$, $ M_3\phi_1\tilde{q}_2^2$ | -2 | 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. + 2*t^6.19 + 2*t^6.37 + 2*t^6.47 + t^6.56 + 9*t^6.94 + 2*t^7.03 + 2*t^7.13 + t^7.31 + 4*t^7.41 + 3*t^7.5 + 6*t^7.59 + 2*t^7.69 + 3*t^7.87 + 2*t^7.97 - t^8.06 + 2*t^8.16 + 3*t^8.25 + 2*t^8.34 - 2*t^8.44 + t^8.63 + 2*t^8.81 - t^4.5/y - t^6.56/y + (2*t^7.03)/y + t^7.5/y - (2*t^7.97)/y + t^8.06/y + (2*t^8.44)/y + (4*t^8.53)/y + (4*t^8.91)/y - t^4.5*y - t^6.56*y + 2*t^7.03*y + t^7.5*y - 2*t^7.97*y + t^8.06*y + 2*t^8.44*y + 4*t^8.53*y + 4*t^8.91*y | t^2.06/(g1*g2) + g1*g2*t^2.44 + t^3. + 2*g1*t^3.47 + 2*g2*t^3.47 + t^3.56/(g1*g2) + g1^2*t^3.94 + g2^2*t^3.94 + t^4.03/g1 + t^4.03/g2 + (2*t^4.13)/(g1^2*g2^2) + t^4.5 + g1^2*g2^2*t^4.87 + t^5.06/(g1*g2) + g1*g2*t^5.44 + (2*t^5.53)/g1 + (2*t^5.53)/g2 + t^5.63/(g1^2*g2^2) + g1^2*g2*t^5.91 + g1*g2^2*t^5.91 - 2*t^6. + (2*t^6.19)/(g1^3*g2^3) + g1^3*g2*t^6.37 + g1*g2^3*t^6.37 + g1*t^6.47 + g2*t^6.47 + t^6.56/(g1*g2) + 3*g1^2*t^6.94 + 3*g1*g2*t^6.94 + 3*g2^2*t^6.94 + t^7.03/g1 + t^7.03/g2 + (2*t^7.13)/(g1^2*g2^2) + g1^3*g2^3*t^7.31 + 2*g1^3*t^7.41 + 2*g2^3*t^7.41 + t^7.5 + (g1*t^7.5)/g2 + (g2*t^7.5)/g1 + (3*t^7.59)/(g1*g2^2) + (3*t^7.59)/(g1^2*g2) + (2*t^7.69)/(g1^3*g2^3) + g1^4*t^7.87 + g1^2*g2^2*t^7.87 + g2^4*t^7.87 + (g1^2*t^7.97)/g2 + (g2^2*t^7.97)/g1 + t^8.06/g1^2 + t^8.06/g2^2 - (3*t^8.06)/(g1*g2) + t^8.16/(g1^2*g2^3) + t^8.16/(g1^3*g2^2) + (3*t^8.25)/(g1^4*g2^4) + g1^3*g2^2*t^8.34 + g1^2*g2^3*t^8.34 - 2*g1*g2*t^8.44 + t^8.63/(g1^2*g2^2) + g1^4*g2^2*t^8.81 + g1^2*g2^4*t^8.81 - t^4.5/y - t^6.56/(g1*g2*y) + t^7.03/(g1*y) + t^7.03/(g2*y) + t^7.5/y - (g1*t^7.97)/y - (g2*t^7.97)/y + t^8.06/(g1*g2*y) + (2*g1*g2*t^8.44)/y + (2*t^8.53)/(g1*y) + (2*t^8.53)/(g2*y) + (2*g1^2*g2*t^8.91)/y + (2*g1*g2^2*t^8.91)/y - t^4.5*y - (t^6.56*y)/(g1*g2) + (t^7.03*y)/g1 + (t^7.03*y)/g2 + t^7.5*y - g1*t^7.97*y - g2*t^7.97*y + (t^8.06*y)/(g1*g2) + 2*g1*g2*t^8.44*y + (2*t^8.53*y)/g1 + (2*t^8.53*y)/g2 + 2*g1^2*g2*t^8.91*y + 2*g1*g2^2*t^8.91*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 |
|---|---|---|---|---|---|---|---|---|
| 1722 | $\phi_1q_1^2$ + $ 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$ + $ M_3q_1q_2$ | 0.6156 | 0.7719 | 0.7976 | [X:[], M:[1.125, 1.125, 0.75], q:[0.75, 0.5], qb:[0.375, 0.375], phi:[0.5]] | 2*t^2.25 + t^3. + 4*t^3.38 + 3*t^3.75 + 2*t^4.12 + 4*t^4.5 + 2*t^5.25 + 6*t^5.62 + t^6. - t^4.5/y - t^4.5*y | detail | {a: 5043/8192, c: 6323/8192, M1: 9/8, M2: 9/8, M3: 3/4, q1: 3/4, q2: 1/2, qb1: 3/8, qb2: 3/8, phi1: 1/2} |
| 249 | $\phi_1q_1^2$ + $ 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$ + $ M_4\phi_1\tilde{q}_1^2$ | 0.6426 | 0.819 | 0.7847 | [X:[], M:[1.1534, 1.1608, 0.6858, 0.6783], q:[0.75, 0.4358], qb:[0.4108, 0.4034], phi:[0.5]] | t^2.04 + t^2.06 + t^2.44 + t^3. + 2*t^3.46 + 2*t^3.48 + t^3.56 + t^3.92 + t^4.02 + t^4.04 + t^4.07 + t^4.09 + 2*t^4.11 + t^4.48 + t^4.5 + t^4.89 + t^5.04 + t^5.06 + t^5.44 + 2*t^5.5 + 4*t^5.52 + 2*t^5.54 + t^5.59 + t^5.61 + t^5.9 + t^5.93 + t^5.96 - 2*t^6. - t^4.5/y - t^4.5*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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | 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. - t^4.5/y - t^4.5*y | detail |