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 |
|---|---|---|---|---|---|---|---|---|---|
| 2320 | 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$ + $ 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]] | [X:[], M:[[-2], [-4], [0], [4], [-2], [-8], [-4]], 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_7$, $ M_1$, $ M_5$, $ \phi_1^2$, $ M_3$, $ \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$, $ M_6^2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1\tilde{q}_2$, $ M_2M_6$, $ M_6M_7$, $ \phi_1q_1^2$, $ M_1M_6$, $ M_5M_6$, $ M_6\phi_1^2$, $ M_2^2$, $ M_3M_6$, $ M_2M_7$, $ M_7^2$, $ M_1M_2$, $ M_2M_5$, $ M_1M_7$, $ M_5M_7$, $ M_2\phi_1^2$, $ M_7\phi_1^2$, $ M_1^2$, $ M_2M_3$, $ M_1M_5$, $ M_5^2$, $ M_3M_7$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ \phi_1^4$, $ M_1M_3$, $ M_3M_5$, $ M_3\phi_1^2$ | . | -3 | 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. - 2*t^6.15 - 2*t^6.3 + t^6.38 - 2*t^6.45 + t^6.53 - t^6.6 + 3*t^6.68 + 5*t^6.83 + 6*t^6.98 + 4*t^7.13 + t^7.21 + 4*t^7.28 + 5*t^7.43 + 2*t^7.51 + 3*t^7.57 + 3*t^7.66 + 3*t^7.81 + t^7.87 + 5*t^7.96 + t^8.02 + 10*t^8.11 - 2*t^8.17 + 5*t^8.26 - 2*t^8.32 + 6*t^8.4 + 10*t^8.55 - 5*t^8.7 + t^8.79 - 11*t^8.85 + t^8.94 - t^4.43/y - t^6.83/y - t^7.13/y - (3*t^7.28)/y + (3*t^7.57)/y + t^7.72/y + t^8.02/y + (2*t^8.11)/y + (3*t^8.26)/y + (2*t^8.4)/y + (6*t^8.55)/y + (5*t^8.7)/y + (3*t^8.85)/y - t^4.43*y - t^6.83*y - t^7.13*y - 3*t^7.28*y + 3*t^7.57*y + t^7.72*y + t^8.02*y + 2*t^8.11*y + 3*t^8.26*y + 2*t^8.4*y + 6*t^8.55*y + 5*t^8.7*y + 3*t^8.85*y | t^2.4/g1^8 + (2*t^2.7)/g1^4 + (3*t^2.85)/g1^2 + t^3. + t^3.98/g1^7 + t^4.13/g1^5 + t^4.28/g1^3 + t^4.43/g1 + 2*g1*t^4.57 + g1^3*t^4.72 + t^4.81/g1^16 + g1^5*t^4.87 + g1^7*t^5.02 + (2*t^5.11)/g1^12 + g1^9*t^5.17 + (3*t^5.26)/g1^10 + (3*t^5.4)/g1^8 + (4*t^5.55)/g1^6 + (7*t^5.7)/g1^4 + t^5.85/g1^2 - 3*t^6. - 2*g1^2*t^6.15 - 2*g1^4*t^6.3 + t^6.38/g1^15 - 2*g1^6*t^6.45 + t^6.53/g1^13 - g1^8*t^6.6 + (3*t^6.68)/g1^11 + (5*t^6.83)/g1^9 + (6*t^6.98)/g1^7 + (4*t^7.13)/g1^5 + t^7.21/g1^24 + (4*t^7.28)/g1^3 + (5*t^7.43)/g1 + (2*t^7.51)/g1^20 + 3*g1*t^7.57 + (3*t^7.66)/g1^18 + (3*t^7.81)/g1^16 + g1^5*t^7.87 + (5*t^7.96)/g1^14 + g1^7*t^8.02 + (10*t^8.11)/g1^12 - 2*g1^9*t^8.17 + (5*t^8.26)/g1^10 - 2*g1^11*t^8.32 + (6*t^8.4)/g1^8 + (10*t^8.55)/g1^6 - (5*t^8.7)/g1^4 + t^8.79/g1^23 - (11*t^8.85)/g1^2 + t^8.94/g1^21 - t^4.43/(g1*y) - t^6.83/(g1^9*y) - t^7.13/(g1^5*y) - (3*t^7.28)/(g1^3*y) + (3*g1*t^7.57)/y + (g1^3*t^7.72)/y + (g1^7*t^8.02)/y + (2*t^8.11)/(g1^12*y) + (3*t^8.26)/(g1^10*y) + (2*t^8.4)/(g1^8*y) + (6*t^8.55)/(g1^6*y) + (5*t^8.7)/(g1^4*y) + (3*t^8.85)/(g1^2*y) - (t^4.43*y)/g1 - (t^6.83*y)/g1^9 - (t^7.13*y)/g1^5 - (3*t^7.28*y)/g1^3 + 3*g1*t^7.57*y + g1^3*t^7.72*y + g1^7*t^8.02*y + (2*t^8.11*y)/g1^12 + (3*t^8.26*y)/g1^10 + (2*t^8.4*y)/g1^8 + (6*t^8.55*y)/g1^6 + (5*t^8.7*y)/g1^4 + (3*t^8.85*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 |
|---|---|---|---|---|---|---|---|---|
| 4313 | $M_1q_1q_2$ + $ \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$ + $ M_8\phi_1q_2^2$ | 0.7389 | 0.9325 | 0.7923 | [X:[], M:[0.9508, 0.9017, 1.0, 1.0983, 0.9508, 0.8033, 0.9017, 0.6721], q:[0.6229, 0.4262], qb:[0.4754, 0.5738], phi:[0.4754]] | t^2.02 + t^2.41 + 2*t^2.7 + 3*t^2.85 + t^3. + t^4.03 + t^4.13 + t^4.28 + 2*t^4.43 + 2*t^4.57 + 3*t^4.72 + t^4.82 + 4*t^4.87 + 2*t^5.02 + 2*t^5.11 + t^5.16 + 3*t^5.26 + 3*t^5.41 + 4*t^5.56 + 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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | 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^4.44/y - t^4.44*y | detail |