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 |
|---|---|---|---|---|---|---|---|---|---|
| 1393 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_1^2$ + $ M_4\phi_1^2$ + $ M_4M_6$ | 0.7132 | 0.878 | 0.8122 | [X:[], M:[1.0, 0.8894, 0.834, 1.0553, 1.0, 0.9447], q:[0.583, 0.417], qb:[0.583, 0.5277], phi:[0.4723]] | [X:[], M:[[0], [-4], [-6], [2], [0], [-2]], q:[[3], [-3]], qb:[[3], [1]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_2$, $ M_6$, $ \phi_1^2$, $ M_1$, $ M_5$, $ q_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1q_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_3^2$, $ M_2M_3$, $ M_2^2$, $ M_3M_6$, $ M_3\phi_1^2$, $ M_1M_3$, $ M_3M_5$, $ M_2M_6$, $ M_2\phi_1^2$, $ M_1M_2$, $ M_2M_5$, $ M_6^2$, $ M_6\phi_1^2$, $ \phi_1^4$, $ M_1M_6$, $ M_5M_6$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ M_3q_1\tilde{q}_2$ | $M_1M_5$ | -2 | t^2.5 + t^2.67 + 2*t^2.83 + 2*t^3. + t^3.33 + t^3.92 + t^4.25 + 2*t^4.42 + t^4.58 + 2*t^4.75 + 3*t^4.91 + t^5. + t^5.17 + 3*t^5.34 + 2*t^5.5 + 4*t^5.67 + 3*t^5.83 - 2*t^6. + t^6.42 - 2*t^6.5 + t^6.59 + t^6.66 + 3*t^6.75 + 3*t^6.92 + 3*t^7.09 + 6*t^7.25 + 4*t^7.42 + t^7.51 + 4*t^7.58 + t^7.67 + 5*t^7.75 + 4*t^7.84 + t^7.91 + 3*t^8. - 2*t^8.08 + 5*t^8.17 + t^8.25 + 5*t^8.34 + 2*t^8.5 + 2*t^8.67 - 4*t^8.83 + t^8.92 - t^4.42/y - t^6.92/y - t^7.09/y - t^7.25/y + t^7.58/y + t^7.75/y + t^7.91/y + t^8.17/y + (2*t^8.34)/y + (4*t^8.5)/y + (3*t^8.67)/y + (5*t^8.83)/y - t^4.42*y - t^6.92*y - t^7.09*y - t^7.25*y + t^7.58*y + t^7.75*y + t^7.91*y + t^8.17*y + 2*t^8.34*y + 4*t^8.5*y + 3*t^8.67*y + 5*t^8.83*y | t^2.5/g1^6 + t^2.67/g1^4 + (2*t^2.83)/g1^2 + 2*t^3. + g1^4*t^3.33 + t^3.92/g1^7 + t^4.25/g1^3 + (2*t^4.42)/g1 + g1*t^4.58 + 2*g1^3*t^4.75 + 3*g1^5*t^4.91 + t^5./g1^12 + t^5.17/g1^10 + (3*t^5.34)/g1^8 + (2*t^5.5)/g1^6 + (4*t^5.67)/g1^4 + (3*t^5.83)/g1^2 - 2*t^6. + t^6.42/g1^13 - 2*g1^6*t^6.5 + t^6.59/g1^11 + g1^8*t^6.66 + (3*t^6.75)/g1^9 + (3*t^6.92)/g1^7 + (3*t^7.09)/g1^5 + (6*t^7.25)/g1^3 + (4*t^7.42)/g1 + t^7.51/g1^18 + 4*g1*t^7.58 + t^7.67/g1^16 + 5*g1^3*t^7.75 + (4*t^7.84)/g1^14 + g1^5*t^7.91 + (3*t^8.)/g1^12 - 2*g1^7*t^8.08 + (5*t^8.17)/g1^10 + g1^9*t^8.25 + (5*t^8.34)/g1^8 + (2*t^8.5)/g1^6 + (2*t^8.67)/g1^4 - (4*t^8.83)/g1^2 + t^8.92/g1^19 - t^4.42/(g1*y) - t^6.92/(g1^7*y) - t^7.09/(g1^5*y) - t^7.25/(g1^3*y) + (g1*t^7.58)/y + (g1^3*t^7.75)/y + (g1^5*t^7.91)/y + t^8.17/(g1^10*y) + (2*t^8.34)/(g1^8*y) + (4*t^8.5)/(g1^6*y) + (3*t^8.67)/(g1^4*y) + (5*t^8.83)/(g1^2*y) - (t^4.42*y)/g1 - (t^6.92*y)/g1^7 - (t^7.09*y)/g1^5 - (t^7.25*y)/g1^3 + g1*t^7.58*y + g1^3*t^7.75*y + g1^5*t^7.91*y + (t^8.17*y)/g1^10 + (2*t^8.34*y)/g1^8 + (4*t^8.5*y)/g1^6 + (3*t^8.67*y)/g1^4 + (5*t^8.83*y)/g1^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 2454 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_1^2$ + $ M_4\phi_1^2$ + $ M_4M_6$ + $ M_3M_7$ | 0.7007 | 0.8557 | 0.8188 | [X:[], M:[1.0, 0.9231, 0.8846, 1.0385, 1.0, 0.9615, 1.1154], q:[0.5577, 0.4423], qb:[0.5577, 0.5192], phi:[0.4808]] | t^2.77 + 2*t^2.88 + 2*t^3. + t^3.23 + t^3.35 + t^4.1 + t^4.33 + 2*t^4.44 + t^4.56 + 2*t^4.67 + 3*t^4.79 + t^5.54 + 4*t^5.77 + 2*t^5.88 - 2*t^6. - t^4.44/y - t^4.44*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 |
|---|---|---|---|---|---|---|---|---|---|
| 912 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_1^2$ + $ M_4\phi_1^2$ | 0.7083 | 0.8692 | 0.8149 | [X:[], M:[1.0, 0.9016, 0.8525, 1.0492, 1.0], q:[0.5738, 0.4262], qb:[0.5738, 0.5246], phi:[0.4754]] | t^2.56 + t^2.7 + t^2.85 + 2*t^3. + t^3.15 + t^3.3 + t^3.98 + t^4.28 + 2*t^4.43 + t^4.57 + 2*t^4.72 + 3*t^4.87 + t^5.11 + t^5.26 + 2*t^5.41 + t^5.56 + 3*t^5.7 + 2*t^5.85 - t^6. - t^4.43/y - t^4.43*y | detail |