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 |
|---|---|---|---|---|---|---|---|---|---|
| 1277 | 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_3^2$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ M_6q_1\tilde{q}_2$ | 0.7097 | 0.8751 | 0.811 | [X:[], M:[0.9582, 0.9163, 1.0, 1.0837, 0.9582, 0.8326], q:[0.6046, 0.4372], qb:[0.4791, 0.5628], phi:[0.4791]] | [X:[], M:[[-2], [-4], [0], [4], [-2], [-8]], q:[[5], [-3]], qb:[[-1], [3]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_2$, $ M_1$, $ M_5$, $ \phi_1^2$, $ M_3$, $ M_4$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1\tilde{q}_2$, $ M_6^2$, $ \phi_1q_1^2$, $ M_2M_6$, $ M_1M_6$, $ M_5M_6$, $ M_6\phi_1^2$, $ M_2^2$, $ M_3M_6$, $ M_1M_2$, $ M_2M_5$, $ M_2\phi_1^2$, $ M_1^2$, $ M_2M_3$, $ M_1M_5$, $ M_5^2$, $ M_4M_6$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ \phi_1^4$, $ M_1M_3$, $ M_3M_5$, $ M_3\phi_1^2$ | . | -2 | t^2.5 + t^2.75 + 3*t^2.87 + t^3. + t^3.25 + t^4.06 + t^4.19 + t^4.31 + t^4.44 + 2*t^4.56 + t^4.69 + t^4.81 + t^4.94 + t^5. + t^5.06 + t^5.25 + 3*t^5.37 + t^5.5 + t^5.62 + 7*t^5.75 + t^5.87 - 2*t^6. + t^6.13 - t^6.25 - 2*t^6.38 + t^6.56 + t^6.68 + 2*t^6.81 + 4*t^6.94 + 5*t^7.06 + 3*t^7.19 + 3*t^7.31 + 5*t^7.44 + t^7.49 + 3*t^7.56 + t^7.74 + 2*t^7.81 + 3*t^7.87 + 2*t^7.94 + t^8. - t^8.06 + 2*t^8.12 - t^8.19 + 8*t^8.25 + t^8.32 + t^8.37 + 12*t^8.62 - t^8.75 - 8*t^8.87 - t^4.44/y - t^6.94/y - (3*t^7.31)/y + (3*t^7.56)/y + t^7.94/y + t^8.25/y + (3*t^8.37)/y + t^8.5/y + (3*t^8.62)/y + (5*t^8.75)/y + (3*t^8.87)/y - t^4.44*y - t^6.94*y - 3*t^7.31*y + 3*t^7.56*y + t^7.94*y + t^8.25*y + 3*t^8.37*y + t^8.5*y + 3*t^8.62*y + 5*t^8.75*y + 3*t^8.87*y | t^2.5/g1^8 + t^2.75/g1^4 + (3*t^2.87)/g1^2 + t^3. + g1^4*t^3.25 + t^4.06/g1^7 + t^4.19/g1^5 + t^4.31/g1^3 + t^4.44/g1 + 2*g1*t^4.56 + g1^3*t^4.69 + g1^5*t^4.81 + g1^7*t^4.94 + t^5./g1^16 + g1^9*t^5.06 + t^5.25/g1^12 + (3*t^5.37)/g1^10 + t^5.5/g1^8 + t^5.62/g1^6 + (7*t^5.75)/g1^4 + t^5.87/g1^2 - 2*t^6. + g1^2*t^6.13 - g1^4*t^6.25 - 2*g1^6*t^6.38 + t^6.56/g1^15 + t^6.68/g1^13 + (2*t^6.81)/g1^11 + (4*t^6.94)/g1^9 + (5*t^7.06)/g1^7 + (3*t^7.19)/g1^5 + (3*t^7.31)/g1^3 + (5*t^7.44)/g1 + t^7.49/g1^24 + 3*g1*t^7.56 + t^7.74/g1^20 + 2*g1^5*t^7.81 + (3*t^7.87)/g1^18 + 2*g1^7*t^7.94 + t^8./g1^16 - g1^9*t^8.06 + (2*t^8.12)/g1^14 - g1^11*t^8.19 + (8*t^8.25)/g1^12 + g1^13*t^8.32 + t^8.37/g1^10 + (12*t^8.62)/g1^6 - t^8.75/g1^4 - (8*t^8.87)/g1^2 - t^4.44/(g1*y) - t^6.94/(g1^9*y) - (3*t^7.31)/(g1^3*y) + (3*g1*t^7.56)/y + (g1^7*t^7.94)/y + t^8.25/(g1^12*y) + (3*t^8.37)/(g1^10*y) + t^8.5/(g1^8*y) + (3*t^8.62)/(g1^6*y) + (5*t^8.75)/(g1^4*y) + (3*t^8.87)/(g1^2*y) - (t^4.44*y)/g1 - (t^6.94*y)/g1^9 - (3*t^7.31*y)/g1^3 + 3*g1*t^7.56*y + g1^7*t^7.94*y + (t^8.25*y)/g1^12 + (3*t^8.37*y)/g1^10 + (t^8.5*y)/g1^8 + (3*t^8.62*y)/g1^6 + (5*t^8.75*y)/g1^4 + (3*t^8.87*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 |
|---|---|---|---|---|---|---|---|---|
| 2320 | $M_1q_1q_2$ + $ \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_3^2$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ M_6q_1\tilde{q}_2$ + $ M_4M_7$ | 0.718 | 0.8913 | 0.8056 | [X:[], M:[0.9504, 0.9007, 1.0, 1.0993, 0.9504, 0.8015, 0.9007], q:[0.6241, 0.4255], qb:[0.4752, 0.5745], phi:[0.4752]] | t^2.4 + 2*t^2.7 + 3*t^2.85 + t^3. + t^3.98 + t^4.13 + t^4.28 + t^4.43 + 2*t^4.57 + t^4.72 + t^4.81 + t^4.87 + t^5.02 + 2*t^5.11 + t^5.17 + 3*t^5.26 + 3*t^5.4 + 4*t^5.55 + 7*t^5.7 + t^5.85 - 3*t^6. - t^4.43/y - t^4.43*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 |
|---|---|---|---|---|---|---|---|---|---|
| 799 | 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_3^2$ + $ M_5\tilde{q}_1\tilde{q}_2$ | 0.6976 | 0.853 | 0.8178 | [X:[], M:[0.9741, 0.9483, 1.0, 1.0517, 0.9741], q:[0.5647, 0.4612], qb:[0.4871, 0.5388], phi:[0.4871]] | t^2.84 + 3*t^2.92 + t^3. + t^3.16 + t^3.31 + t^4.23 + t^4.31 + t^4.38 + t^4.46 + 2*t^4.54 + t^4.62 + t^4.69 + t^4.77 + t^4.85 + t^5.77 + 6*t^5.84 + t^5.92 - 2*t^6. - t^4.46/y - t^4.46*y | detail |