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 |
|---|---|---|---|---|---|---|---|---|---|
| 17 | SU2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1\tilde{q}_1^2$ + $ M_3\phi_1q_1\tilde{q}_1$ | 0.5129 | 0.6085 | 0.8428 | [X:[1.5308], M:[0.7038, 0.7038, 0.7038], q:[0.5308], qb:[0.5308], phi:[0.2346]] | [X:[[0, 2]], M:[[2, -7], [-2, 1], [0, -3]], q:[[-1, 4]], qb:[[1, 0]], phi:[[0, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ M_3$, $ M_2$, $ q_1\tilde{q}_1$, $ M_1^2$, $ M_1M_3$, $ M_1M_2$, $ M_3^2$, $ M_2M_3$, $ M_2^2$, $ X_1$, $ M_1q_1\tilde{q}_1$, $ M_3q_1\tilde{q}_1$, $ M_2q_1\tilde{q}_1$ | . | -4 | 3*t^2.11 + t^3.18 + 6*t^4.22 + t^4.59 + 3*t^5.3 - 4*t^6. + 10*t^6.33 + t^6.37 + 6*t^7.41 - 11*t^8.11 + 15*t^8.45 - 6*t^8.82 - (3*t^8.82)/y^2 - t^3.7/y - (3*t^5.82)/y + (3*t^7.22)/y + (3*t^7.59)/y - (6*t^7.93)/y + (3*t^8.3)/y - t^3.7*y - 3*t^5.82*y + 3*t^7.22*y + 3*t^7.59*y - 6*t^7.93*y + 3*t^8.3*y - 3*t^8.82*y^2 | (g1^2*t^2.11)/g2^7 + t^2.11/g2^3 + (g2*t^2.11)/g1^2 + g2^4*t^3.18 + (g1^4*t^4.22)/g2^14 + (g1^2*t^4.22)/g2^10 + (2*t^4.22)/g2^6 + t^4.22/(g1^2*g2^2) + (g2^2*t^4.22)/g1^4 + g2^2*t^4.59 + (g1^2*t^5.3)/g2^3 + g2*t^5.3 + (g2^5*t^5.3)/g1^2 - 2*t^6. - (g1^2*t^6.)/g2^4 - (g2^4*t^6.)/g1^2 + (g1^6*t^6.33)/g2^21 + (g1^4*t^6.33)/g2^17 + (2*g1^2*t^6.33)/g2^13 + (2*t^6.33)/g2^9 + (2*t^6.33)/(g1^2*g2^5) + t^6.33/(g1^4*g2) + (g2^3*t^6.33)/g1^6 + g2^8*t^6.37 + (g1^4*t^7.41)/g2^10 + (g1^2*t^7.41)/g2^6 + (2*t^7.41)/g2^2 + (g2^2*t^7.41)/g1^2 + (g2^6*t^7.41)/g1^4 - (g1^4*t^8.11)/g2^11 - (3*g1^2*t^8.11)/g2^7 - (3*t^8.11)/g2^3 - (3*g2*t^8.11)/g1^2 - (g2^5*t^8.11)/g1^4 + t^8.45/g1^6 + (g1^8*t^8.45)/g2^28 + (g1^6*t^8.45)/g2^24 + (2*g1^4*t^8.45)/g2^20 + (2*g1^2*t^8.45)/g2^16 + (3*t^8.45)/g2^12 + (2*t^8.45)/(g1^2*g2^8) + (2*t^8.45)/(g1^4*g2^4) + (g2^4*t^8.45)/g1^8 - (2*t^8.82)/g1^2 - (2*g1^2*t^8.82)/g2^8 - (2*t^8.82)/g2^4 - t^8.82/(g1^2*y^2) - (g1^2*t^8.82)/(g2^8*y^2) - t^8.82/(g2^4*y^2) - t^3.7/(g2*y) - t^5.82/(g1^2*y) - (g1^2*t^5.82)/(g2^8*y) - t^5.82/(g2^4*y) + (g1^2*t^7.22)/(g2^10*y) + t^7.22/(g2^6*y) + t^7.22/(g1^2*g2^2*y) + (g1^2*t^7.59)/(g2^2*y) + (g2^2*t^7.59)/y + (g2^6*t^7.59)/(g1^2*y) - (g1^4*t^7.93)/(g2^15*y) - (g1^2*t^7.93)/(g2^11*y) - (2*t^7.93)/(g2^7*y) - t^7.93/(g1^2*g2^3*y) - (g2*t^7.93)/(g1^4*y) + (g1^2*t^8.3)/(g2^3*y) + (g2*t^8.3)/y + (g2^5*t^8.3)/(g1^2*y) - (t^3.7*y)/g2 - (t^5.82*y)/g1^2 - (g1^2*t^5.82*y)/g2^8 - (t^5.82*y)/g2^4 + (g1^2*t^7.22*y)/g2^10 + (t^7.22*y)/g2^6 + (t^7.22*y)/(g1^2*g2^2) + (g1^2*t^7.59*y)/g2^2 + g2^2*t^7.59*y + (g2^6*t^7.59*y)/g1^2 - (g1^4*t^7.93*y)/g2^15 - (g1^2*t^7.93*y)/g2^11 - (2*t^7.93*y)/g2^7 - (t^7.93*y)/(g1^2*g2^3) - (g2*t^7.93*y)/g1^4 + (g1^2*t^8.3*y)/g2^3 + g2*t^8.3*y + (g2^5*t^8.3*y)/g1^2 - (t^8.82*y^2)/g1^2 - (g1^2*t^8.82*y^2)/g2^8 - (t^8.82*y^2)/g2^4 |
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 |
|---|---|---|---|---|---|---|---|---|
| 24 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1\tilde{q}_1^2$ + $ M_3\phi_1q_1\tilde{q}_1$ + $ M_1M_3$ | 0.4329 | 0.5202 | 0.8323 | [X:[1.3957], M:[1.0936, 0.7193, 0.9064], q:[0.3021], qb:[0.4893], phi:[0.3021]] | t^2.16 + t^2.37 + t^2.72 + t^3.28 + t^4.19 + t^4.32 + t^4.53 + t^4.75 + t^4.88 + t^5.09 + t^5.44 + t^5.65 - t^6. - t^3.91/y - t^3.91*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 |
|---|---|---|---|---|---|---|---|---|---|
| 170 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ \phi_1^2X_1$ + $ M_3q_1q_2$ | 0.5129 | 0.6085 | 0.8428 | [X:[1.5308], M:[0.7038, 0.7038, 0.7038], q:[0.8827, 0.4135], qb:[0.8827, 0.8827], phi:[0.2346]] | 3*t^2.11 + t^3.18 + 6*t^4.22 + t^4.59 + 3*t^5.3 - 4*t^6. - t^3.7/y - (3*t^5.82)/y - t^3.7*y - 3*t^5.82*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 |
|---|---|---|---|---|---|---|---|---|---|
| 7 | SU2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1\tilde{q}_1^2$ | 0.4925 | 0.5698 | 0.8643 | [X:[1.5254], M:[0.7119, 0.7119], q:[0.5254], qb:[0.5254], phi:[0.2373]] | 2*t^2.14 + t^3.15 + t^3.86 + 3*t^4.27 + t^4.58 + 2*t^5.29 - 2*t^6. - t^3.71/y - (2*t^5.85)/y - t^3.71*y - 2*t^5.85*y | detail |