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 |
|---|---|---|---|---|---|---|---|---|---|
| 4197 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_3M_4$ + $ M_5\phi_1\tilde{q}_2^2$ + $ M_4M_5$ + $ M_4M_6$ + $ M_2M_7$ | 0.5972 | 0.7386 | 0.8085 | [X:[], M:[0.7368, 1.1579, 1.0526, 0.9474, 1.0526, 1.0526, 0.8421], q:[0.7895, 0.5789], qb:[0.6842, 0.2632], phi:[0.4211]] | [X:[], M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 65535/109744, c: 40529/54872, M1: 14/19, M2: 22/19, M3: 20/19, M4: 18/19, M5: 20/19, M6: 20/19, M7: 16/19, q1: 15/19, q2: 11/19, qb1: 13/19, qb2: 5/19, phi1: 8/19} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ M_7$, $ \phi_1^2$, $ M_3$, $ M_5$, $ M_6$, $ \phi_1q_2\tilde{q}_2$, $ q_1q_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1^2$, $ q_1\tilde{q}_1$, $ M_1M_7$, $ M_1\phi_1^2$, $ \phi_1q_2^2$, $ M_7^2$, $ M_7\phi_1^2$, $ \phi_1^4$, $ \phi_1q_2\tilde{q}_1$, $ M_1M_3$, $ M_1M_5$, $ M_1M_6$, $ \phi_1\tilde{q}_1^2$, $ M_3M_7$, $ M_5M_7$, $ M_6M_7$, $ M_3\phi_1^2$, $ M_5\phi_1^2$, $ M_6\phi_1^2$ | . | -3 | t^2.21 + 2*t^2.53 + 3*t^3.16 + t^3.79 + 2*t^4.11 + 2*t^4.42 + 2*t^4.74 + 3*t^5.05 + 4*t^5.37 + 4*t^5.68 - 3*t^6. + 6*t^6.32 + 3*t^6.63 + 2*t^6.95 + 4*t^7.26 + 7*t^7.58 + 5*t^7.89 + 2*t^8.21 + 2*t^8.53 + 6*t^8.84 - t^4.26/y - t^6.47/y - t^6.79/y + (2*t^7.11)/y - (2*t^7.42)/y + (3*t^7.74)/y + (2*t^8.05)/y + (3*t^8.37)/y + (5*t^8.68)/y - t^4.26*y - t^6.47*y - t^6.79*y + 2*t^7.11*y - 2*t^7.42*y + 3*t^7.74*y + 2*t^8.05*y + 3*t^8.37*y + 5*t^8.68*y | t^2.21 + 2*t^2.53 + 3*t^3.16 + t^3.79 + 2*t^4.11 + 2*t^4.42 + 2*t^4.74 + 3*t^5.05 + 4*t^5.37 + 4*t^5.68 - 3*t^6. + 6*t^6.32 + 3*t^6.63 + 2*t^6.95 + 4*t^7.26 + 7*t^7.58 + 5*t^7.89 + 2*t^8.21 + 2*t^8.53 + 6*t^8.84 - t^4.26/y - t^6.47/y - t^6.79/y + (2*t^7.11)/y - (2*t^7.42)/y + (3*t^7.74)/y + (2*t^8.05)/y + (3*t^8.37)/y + (5*t^8.68)/y - t^4.26*y - t^6.47*y - t^6.79*y + 2*t^7.11*y - 2*t^7.42*y + 3*t^7.74*y + 2*t^8.05*y + 3*t^8.37*y + 5*t^8.68*y |
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 |
|---|---|---|---|---|---|---|---|---|
| 5689 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_3M_4$ + $ M_5\phi_1\tilde{q}_2^2$ + $ M_4M_5$ + $ M_4M_6$ + $ M_2M_7$ + $ M_1M_8$ | 0.5776 | 0.7026 | 0.8221 | [X:[], M:[0.7368, 1.1579, 1.0526, 0.9474, 1.0526, 1.0526, 0.8421, 1.2632], q:[0.7895, 0.5789], qb:[0.6842, 0.2632], phi:[0.4211]] | 2*t^2.53 + 3*t^3.16 + 2*t^3.79 + 2*t^4.11 + t^4.42 + 3*t^5.05 + t^5.37 + 4*t^5.68 - 4*t^6. - t^4.26/y - t^4.26*y | detail | {a: 31695/54872, c: 19277/27436, M1: 14/19, M2: 22/19, M3: 20/19, M4: 18/19, M5: 20/19, M6: 20/19, M7: 16/19, M8: 24/19, q1: 15/19, q2: 11/19, qb1: 13/19, qb2: 5/19, phi1: 8/19} |
| 5691 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_3M_4$ + $ M_5\phi_1\tilde{q}_2^2$ + $ M_4M_5$ + $ M_4M_6$ + $ M_2M_7$ + $ M_8\phi_1q_2\tilde{q}_2$ | 0.6167 | 0.7746 | 0.7962 | [X:[], M:[0.7368, 1.1579, 1.0526, 0.9474, 1.0526, 1.0526, 0.8421, 0.7368], q:[0.7895, 0.5789], qb:[0.6842, 0.2632], phi:[0.4211]] | 2*t^2.21 + 2*t^2.53 + 3*t^3.16 + 2*t^4.11 + 4*t^4.42 + 4*t^4.74 + 3*t^5.05 + 7*t^5.37 + 4*t^5.68 - 4*t^6. - t^4.26/y - t^4.26*y | detail | {a: 4230/6859, c: 5313/6859, M1: 14/19, M2: 22/19, M3: 20/19, M4: 18/19, M5: 20/19, M6: 20/19, M7: 16/19, M8: 14/19, q1: 15/19, q2: 11/19, qb1: 13/19, qb2: 5/19, phi1: 8/19} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 2198 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_3M_4$ + $ M_5\phi_1\tilde{q}_2^2$ + $ M_4M_5$ + $ M_4M_6$ | 0.5835 | 0.715 | 0.816 | [X:[], M:[0.7368, 1.1579, 1.0526, 0.9474, 1.0526, 1.0526], q:[0.7895, 0.5789], qb:[0.6842, 0.2632], phi:[0.4211]] | t^2.21 + t^2.53 + 3*t^3.16 + t^3.47 + t^3.79 + 2*t^4.11 + 2*t^4.42 + t^4.74 + t^5.05 + 4*t^5.37 + 2*t^5.68 - 2*t^6. - t^4.26/y - t^4.26*y | detail | {a: 4002/6859, c: 9809/13718, M1: 14/19, M2: 22/19, M3: 20/19, M4: 18/19, M5: 20/19, M6: 20/19, q1: 15/19, q2: 11/19, qb1: 13/19, qb2: 5/19, phi1: 8/19} |