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 |
|---|---|---|---|---|---|---|---|---|---|
| 692 | 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_1M_3$ + $ M_3M_5$ | 0.6669 | 0.8127 | 0.8206 | [X:[], M:[0.9899, 1.1111, 1.0101, 0.7879, 0.9899], q:[0.7778, 0.4545], qb:[0.5556, 0.4343], phi:[0.4444]] | [X:[], M:[[1], [0], [-1], [-1], [1]], q:[[0], [-1]], qb:[[0], [1]], phi:[[0]]] | 1 | {a: 3169/4752, c: 1931/2376, M1: 98/99, M2: 10/9, M3: 100/99, M4: 26/33, M5: 98/99, q1: 7/9, q2: 5/11, qb1: 5/9, qb2: 43/99, phi1: 4/9} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ \phi_1^2$, $ M_1$, $ M_5$, $ M_2$, $ q_1q_2$, $ \phi_1\tilde{q}_2^2$, $ q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_4^2$, $ M_4\phi_1^2$, $ M_1M_4$, $ M_4M_5$, $ \phi_1^4$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ M_1^2$, $ M_1M_5$, $ M_5^2$ | . | -2 | t^2.36 + t^2.67 + 2*t^2.97 + t^3.33 + t^3.7 + t^3.94 + 2*t^4. + t^4.06 + t^4.3 + t^4.36 + t^4.67 + t^4.73 + t^5.03 + 3*t^5.33 + t^5.64 + 2*t^5.94 - 2*t^6. + t^6.3 + t^6.36 + t^6.42 + t^6.61 + 3*t^6.67 + 2*t^6.73 + 2*t^6.91 + 2*t^6.97 + 2*t^7.03 + t^7.09 + t^7.27 + t^7.33 + t^7.39 + t^7.64 + 3*t^7.7 + t^7.76 + t^7.88 + t^7.94 + 4*t^8. + 2*t^8.06 + t^8.12 + t^8.24 + 3*t^8.3 - 2*t^8.36 + t^8.42 + t^8.61 - t^8.67 + t^8.73 + t^8.79 + 2*t^8.91 - 4*t^8.97 - t^4.33/y - t^6.7/y - t^7.3/y + t^7.36/y + t^7.97/y + t^8.03/y + (2*t^8.33)/y + (2*t^8.64)/y + t^8.7/y + t^8.94/y - t^4.33*y - t^6.7*y - t^7.3*y + t^7.36*y + t^7.97*y + t^8.03*y + 2*t^8.33*y + 2*t^8.64*y + t^8.7*y + t^8.94*y | t^2.36/g1 + t^2.67 + 2*g1*t^2.97 + t^3.33 + t^3.7/g1 + g1^2*t^3.94 + 2*t^4. + t^4.06/g1^2 + g1*t^4.3 + t^4.36/g1 + t^4.67 + t^4.73/g1^2 + t^5.03/g1 + 3*t^5.33 + g1*t^5.64 + 2*g1^2*t^5.94 - 2*t^6. + g1*t^6.3 + t^6.36/g1 + t^6.42/g1^3 + g1^2*t^6.61 + 3*t^6.67 + (2*t^6.73)/g1^2 + 2*g1^3*t^6.91 + 2*g1*t^6.97 + (2*t^7.03)/g1 + t^7.09/g1^3 + g1^2*t^7.27 + t^7.33 + t^7.39/g1^2 + g1*t^7.64 + (3*t^7.7)/g1 + t^7.76/g1^3 + g1^4*t^7.88 + g1^2*t^7.94 + 4*t^8. + (2*t^8.06)/g1^2 + t^8.12/g1^4 + g1^3*t^8.24 + 3*g1*t^8.3 - (2*t^8.36)/g1 + t^8.42/g1^3 + g1^2*t^8.61 - t^8.67 + t^8.73/g1^2 + t^8.79/g1^4 + 2*g1^3*t^8.91 - 4*g1*t^8.97 - t^4.33/y - t^6.7/(g1*y) - (g1*t^7.3)/y + t^7.36/(g1*y) + (g1*t^7.97)/y + t^8.03/(g1*y) + (2*t^8.33)/y + (2*g1*t^8.64)/y + t^8.7/(g1*y) + (g1^2*t^8.94)/y - t^4.33*y - (t^6.7*y)/g1 - g1*t^7.3*y + (t^7.36*y)/g1 + g1*t^7.97*y + (t^8.03*y)/g1 + 2*t^8.33*y + 2*g1*t^8.64*y + (t^8.7*y)/g1 + g1^2*t^8.94*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 |
|---|---|---|---|---|---|---|---|---|
| 1116 | $\phi_1q_1^2$ + $ 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_1M_3$ + $ M_3M_5$ + $ M_6\phi_1\tilde{q}_2^2$ | 0.6876 | 0.8535 | 0.8057 | [X:[], M:[0.9934, 1.1111, 1.0066, 0.7844, 0.9934, 0.6798], q:[0.7778, 0.451], qb:[0.5556, 0.4379], phi:[0.4444]] | t^2.04 + t^2.35 + t^2.67 + 2*t^2.98 + t^3.33 + t^3.69 + 2*t^4. + t^4.04 + t^4.08 + t^4.31 + t^4.35 + t^4.39 + t^4.67 + 2*t^4.71 + 3*t^5.02 + 3*t^5.33 + t^5.37 + t^5.65 + t^5.73 + 2*t^5.96 - 2*t^6. - t^4.33/y - t^4.33*y | detail | |
| 1115 | $\phi_1q_1^2$ + $ 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_1M_3$ + $ M_3M_5$ + $ M_6q_1q_2$ | 0.6854 | 0.8464 | 0.8098 | [X:[], M:[0.9792, 1.1111, 1.0208, 0.7985, 0.9792, 0.757], q:[0.7778, 0.4652], qb:[0.5556, 0.4237], phi:[0.4444]] | t^2.27 + t^2.4 + t^2.67 + 2*t^2.94 + t^3.33 + t^3.88 + 2*t^4. + t^4.12 + t^4.27 + t^4.4 + t^4.54 + 2*t^4.67 + t^4.79 + t^4.94 + t^5.06 + 2*t^5.21 + 3*t^5.33 + 2*t^5.6 + 2*t^5.88 - 2*t^6. - t^4.33/y - t^4.33*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 |
|---|---|---|---|---|---|---|---|---|---|
| 420 | 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_1M_3$ | 0.667 | 0.8136 | 0.8198 | [X:[], M:[1.0126, 1.1111, 0.9874, 0.7652], q:[0.7778, 0.4319], qb:[0.5556, 0.457], phi:[0.4444]] | t^2.3 + t^2.67 + t^2.96 + t^3.04 + t^3.33 + t^3.63 + t^3.92 + 2*t^4. + t^4.08 + t^4.3 + t^4.37 + t^4.59 + t^4.67 + t^4.96 + t^5.26 + 2*t^5.33 + t^5.63 + t^5.92 - t^6. - t^4.33/y - t^4.33*y | detail |