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 |
|---|---|---|---|---|---|---|---|---|---|
| 514 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_2M_4$ + $ M_3M_5$ | 0.7051 | 0.8546 | 0.8251 | [X:[], M:[0.9277, 1.0, 0.8555, 1.0, 1.1445], q:[0.5361, 0.5361], qb:[0.4639, 0.6084], phi:[0.4639]] | [X:[], M:[[0, -2], [1, -1], [-1, -3], [-1, 1], [1, 3]], q:[[-1, 2], [1, 0]], qb:[[0, -1], [0, 3]], phi:[[0, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ \phi_1^2$, $ M_2$, $ M_4$, $ \tilde{q}_1\tilde{q}_2$, $ M_5$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_1^2$, $ M_1\phi_1^2$, $ \phi_1^4$ | $M_2^2$, $ M_4^2$, $ M_1\tilde{q}_1\tilde{q}_2$ | -1 | 2*t^2.78 + 2*t^3. + t^3.22 + 2*t^3.43 + t^4.17 + 2*t^4.39 + 4*t^4.61 + 2*t^4.83 + t^5.04 + 2*t^5.57 - t^6. + 2*t^6.22 + 3*t^6.43 + 2*t^6.65 + 3*t^6.87 + t^6.96 + 2*t^7.17 + 6*t^7.39 + 6*t^7.61 + 4*t^7.83 + 6*t^8.04 + 3*t^8.26 + 4*t^8.35 + 2*t^8.48 - 3*t^8.78 - t^4.39/y - (2*t^7.17)/y + (2*t^7.61)/y + t^8.57/y + (4*t^8.78)/y - t^4.39*y - 2*t^7.17*y + 2*t^7.61*y + t^8.57*y + 4*t^8.78*y | (2*t^2.78)/g2^2 + (g1*t^3.)/g2 + (g2*t^3.)/g1 + g2^2*t^3.22 + g1*g2^3*t^3.43 + (g2^5*t^3.43)/g1 + t^4.17/g2^3 + t^4.39/g1 + (g1*t^4.39)/g2^2 + (g1^2*t^4.61)/g2 + 2*g2*t^4.61 + (g2^3*t^4.61)/g1^2 + g1*g2^2*t^4.83 + (g2^4*t^4.83)/g1 + g2^5*t^5.04 + (2*t^5.57)/g2^4 - t^6. + g1*g2*t^6.22 + (g2^3*t^6.22)/g1 + g1^2*g2^2*t^6.43 + g2^4*t^6.43 + (g2^6*t^6.43)/g1^2 + g1*g2^5*t^6.65 + (g2^7*t^6.65)/g1 + g1^2*g2^6*t^6.87 + g2^8*t^6.87 + (g2^10*t^6.87)/g1^2 + t^6.96/g2^5 + (g1*t^7.17)/g2^4 + t^7.17/(g1*g2^2) + (2*g1^2*t^7.39)/g2^3 + (2*t^7.39)/g2 + (2*g2*t^7.39)/g1^2 + 2*g1*t^7.61 + (g1^3*t^7.61)/g2^2 + (2*g2^2*t^7.61)/g1 + (g2^4*t^7.61)/g1^3 + g1^2*g2*t^7.83 + 2*g2^3*t^7.83 + (g2^5*t^7.83)/g1^2 + g1^3*g2^2*t^8.04 + 2*g1*g2^4*t^8.04 + (2*g2^6*t^8.04)/g1 + (g2^8*t^8.04)/g1^3 + g1^2*g2^5*t^8.26 + g2^7*t^8.26 + (g2^9*t^8.26)/g1^2 + (4*t^8.35)/g2^6 + g1*g2^8*t^8.48 + (g2^10*t^8.48)/g1 - (3*t^8.78)/g2^2 - t^4.39/(g2*y) - (2*t^7.17)/(g2^3*y) + (2*g2*t^7.61)/y + t^8.57/(g2^4*y) + (2*g1*t^8.78)/(g2^3*y) + (2*t^8.78)/(g1*g2*y) - (t^4.39*y)/g2 - (2*t^7.17*y)/g2^3 + 2*g2*t^7.61*y + (t^8.57*y)/g2^4 + (2*g1*t^8.78*y)/g2^3 + (2*t^8.78*y)/(g1*g2) |
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 |
|---|---|---|---|---|---|---|---|---|
| 803 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_2M_4$ + $ M_3M_5$ + $ M_6\tilde{q}_1\tilde{q}_2$ | 0.7125 | 0.866 | 0.8228 | [X:[], M:[0.9101, 1.0, 0.8202, 1.0, 1.1798, 0.9101], q:[0.5449, 0.5449], qb:[0.4551, 0.6348], phi:[0.4551]] | 3*t^2.73 + 2*t^3. + 2*t^3.54 + t^4.1 + 2*t^4.37 + 4*t^4.63 + 2*t^4.9 + t^5.17 + 5*t^5.46 + 2*t^5.73 - 3*t^6. - t^4.37/y - t^4.37*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 |
|---|---|---|---|---|---|---|---|---|---|
| 329 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_2M_4$ | 0.7203 | 0.8807 | 0.8179 | [X:[], M:[0.9045, 1.0186, 0.7904, 0.9814], q:[0.5292, 0.5663], qb:[0.4522, 0.6433], phi:[0.4522]] | t^2.37 + 2*t^2.71 + t^2.94 + t^3.06 + t^3.29 + t^3.52 + t^4.07 + t^4.3 + t^4.41 + t^4.53 + 2*t^4.64 + t^4.74 + t^4.75 + t^4.87 + t^4.99 + 2*t^5.08 + t^5.22 + t^5.32 + 3*t^5.43 + t^5.66 + t^5.89 - t^6. - t^4.36/y - t^4.36*y | detail |