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 |
|---|---|---|---|---|---|---|---|---|---|
| 109 | SU2adj1nf2 | $\phi_1^4$ + $ M_1q_1q_2$ + $ q_1\tilde{q}_1^2\tilde{q}_2$ + $ q_2^2\tilde{q}_1\tilde{q}_2$ | 0.6923 | 0.8496 | 0.8148 | [X:[], M:[0.9819], q:[0.5091, 0.5091], qb:[0.5091, 0.4728], phi:[0.5]] | [X:[], M:[[2]], q:[[-1], [-1]], qb:[[-1], [3]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ q_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1^2$, $ q_1\tilde{q}_1$, $ q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_2^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_1^2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ q_1^2\tilde{q}_2^2$, $ q_1q_2\tilde{q}_2^2$, $ q_2^2\tilde{q}_2^2$, $ q_2\tilde{q}_1\tilde{q}_2^2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_1\phi_1^2$, $ \phi_1^2q_1\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$ | $q_2\tilde{q}_1^2\tilde{q}_2$ | -2 | 4*t^2.95 + t^3. + 2*t^3.05 + t^4.34 + 3*t^4.45 + 6*t^4.55 + 7*t^5.89 + 4*t^5.95 - 2*t^6. + 2*t^6.05 + 4*t^7.28 + 8*t^7.39 + 12*t^7.5 + 6*t^7.61 + t^8.67 + 3*t^8.78 + 8*t^8.84 + 13*t^8.89 - 14*t^8.95 - t^4.5/y - t^7.45/y + t^7.55/y + (6*t^8.89)/y + (4*t^8.95)/y - t^4.5*y - t^7.45*y + t^7.55*y + 6*t^8.89*y + 4*t^8.95*y | 4*g1^2*t^2.95 + t^3. + (2*t^3.05)/g1^2 + g1^6*t^4.34 + 3*g1^2*t^4.45 + (6*t^4.55)/g1^2 + 7*g1^4*t^5.89 + 4*g1^2*t^5.95 - 2*t^6. + (2*t^6.05)/g1^2 + 4*g1^8*t^7.28 + 8*g1^4*t^7.39 + 12*t^7.5 + (6*t^7.61)/g1^4 + g1^12*t^8.67 + 3*g1^8*t^8.78 + 8*g1^6*t^8.84 + 13*g1^4*t^8.89 - 14*g1^2*t^8.95 - t^4.5/y - (g1^2*t^7.45)/y + t^7.55/(g1^2*y) + (6*g1^4*t^8.89)/y + (4*g1^2*t^8.95)/y - t^4.5*y - g1^2*t^7.45*y + (t^7.55*y)/g1^2 + 6*g1^4*t^8.89*y + 4*g1^2*t^8.95*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 |
|---|---|---|---|---|---|---|---|---|
| 173 | $\phi_1^4$ + $ M_1q_1q_2$ + $ q_1\tilde{q}_1^2\tilde{q}_2$ + $ q_2^2\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ | 0.6914 | 0.8477 | 0.8157 | [X:[], M:[1.0], q:[0.5, 0.5], qb:[0.5, 0.5], phi:[0.5]] | 7*t^3. + 10*t^4.5 + 11*t^6. - t^4.5/y - t^4.5*y | detail | {a: 177/256, c: 217/256, M1: 1, q1: 1/2, q2: 1/2, qb1: 1/2, qb2: 1/2, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 72 | SU2adj1nf2 | $\phi_1^4$ + $ M_1q_1q_2$ + $ q_1\tilde{q}_1^2\tilde{q}_2$ | 0.6927 | 0.8507 | 0.8143 | [X:[], M:[0.9724], q:[0.528, 0.4996], qb:[0.4996, 0.4728], phi:[0.5]] | 3*t^2.92 + 3*t^3. + t^3.08 + t^4.34 + 2*t^4.42 + 4*t^4.5 + 2*t^4.58 + t^4.67 + 5*t^5.83 + t^5.91 + 4*t^5.92 + 2*t^6. - t^4.5/y - t^4.5*y | detail |