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 |
|---|---|---|---|---|---|---|---|---|---|
| 9 | SU2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ \phi_1\tilde{q}_1^2$ | 0.3583 | 0.3667 | 0.9773 | [X:[1.7333], M:[0.8], q:[0.5333], qb:[0.9333], phi:[0.1333]] | [X:[[4]], M:[[-12]], q:[[7]], qb:[[1]], phi:[[-2]]] | 1 | {a: 43/120, c: 11/30, X1: 26/15, M1: 4/5, q1: 8/15, qb1: 14/15, phi1: 2/15} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ q_1\tilde{q}_1$, $ M_1^2$ | . | -1 | t^2.4 + t^4.4 + t^4.8 - t^6. + t^6.8 + t^7.2 + t^8. - t^8.4 - t^8.8 - t^8.8/y^2 - t^3.4/y - t^5.8/y + t^7./y - t^8.2/y - t^3.4*y - t^5.8*y + t^7.*y - t^8.2*y - t^8.8*y^2 | t^2.4/g1^12 + g1^8*t^4.4 + t^4.8/g1^24 - t^6. + t^6.8/g1^4 + t^7.2/g1^36 + t^8./g1^10 - t^8.4/g1^12 - t^8.8/g1^14 - t^8.8/(g1^14*y^2) - t^3.4/(g1^2*y) - t^5.8/(g1^14*y) + (g1^10*t^7.)/y - t^8.2/(g1^26*y) - (t^3.4*y)/g1^2 - (t^5.8*y)/g1^14 + g1^10*t^7.*y - (t^8.2*y)/g1^26 - (t^8.8*y^2)/g1^14 |
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 |
|---|---|---|---|---|---|---|---|---|
| 16 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ \phi_1\tilde{q}_1^2$ + $ M_1^2$ | 0.3424 | 0.3529 | 0.9705 | [X:[1.6667], M:[1.0], q:[0.4167], qb:[0.9167], phi:[0.1667]] | t^3. + t^4. - t^3.5/y - t^3.5*y | detail | {a: 263/768, c: 271/768, X1: 5/3, M1: 1, q1: 5/12, qb1: 11/12, phi1: 1/6} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 98 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1q_2^2$ + $ q_1\tilde{q}_1$ + $ \phi_1^2X_1$ + $ M_1\phi_1\tilde{q}_2^2$ | 0.3583 | 0.3667 | 0.9773 | [X:[1.7333], M:[0.8], q:[0.9333, 0.9333], qb:[1.0667, 0.5333], phi:[0.1333]] | t^2.4 + t^4.4 + t^4.8 - t^6. - t^3.4/y - t^5.8/y - t^3.4*y - t^5.8*y | detail | {a: 43/120, c: 11/30, X1: 26/15, M1: 4/5, q1: 14/15, q2: 14/15, qb1: 16/15, qb2: 8/15, phi1: 2/15} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 3 | SU2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ | 0.4727 | 0.5351 | 0.8834 | [X:[1.5133], M:[0.7051], q:[0.5258], qb:[0.5009], phi:[0.2433]] | t^2.12 + t^3.08 + t^3.74 + t^3.81 + t^4.23 + t^4.54 + t^5.2 + t^5.85 - 2*t^6. - t^3.73/y - t^5.85/y - t^3.73*y - t^5.85*y | detail |