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 |
|---|---|---|---|---|---|---|---|---|---|
| 48302 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ q_2^2\tilde{q}_1\tilde{q}_2$ + $ M_1X_1$ + $ M_5q_2\tilde{q}_1$ + $ M_2X_2$ | 0.6128 | 0.7847 | 0.781 | [X:[1.375, 1.3333], M:[0.625, 0.6667, 1.0, 0.7083, 0.8333], q:[0.7708, 0.6042], qb:[0.5625, 0.2292], phi:[0.4583]] | [X:[[-6], [16]], M:[[6], [-16], [0], [10], [-8]], q:[[1], [-7]], qb:[[15], [-1]], phi:[[-2]]] | {a: 1255/2048, c: 1607/2048, X1: 11/8, X2: 4/3, M1: 5/8, M2: 2/3, M3: 1, M4: 17/24, M5: 5/6, q1: 37/48, q2: 29/48, qb1: 9/16, qb2: 11/48, phi1: 11/24} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ \tilde{q}_1\tilde{q}_2$, $ M_5$, $ q_2\tilde{q}_2$, $ \phi_1^2$, $ \phi_1\tilde{q}_2^2$, $ M_3$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ X_2$, $ X_1$, $ M_4^2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_4M_5$, $ M_4q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_4\phi_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_5\tilde{q}_1\tilde{q}_2$, $ M_4\phi_1\tilde{q}_2^2$, $ q_2\tilde{q}_1\tilde{q}_2^2$, $ M_5^2$, $ \phi_1q_2^2$, $ M_5q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_3M_4$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2^3$, $ M_5\phi_1^2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_5\phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_2^3$, $ \phi_1q_1\tilde{q}_1$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_3M_5$, $ \phi_1^4$, $ \phi_1q_1q_2$, $ M_3q_2\tilde{q}_2$, $ \phi_1^3\tilde{q}_2^2$, $ \phi_1^2\tilde{q}_2^4$, $ M_3\phi_1^2$, $ M_3\phi_1\tilde{q}_2^2$ | . | t^2.12 + t^2.38 + 2*t^2.5 + 2*t^2.75 + t^3. + t^3.75 + t^4. + t^4.12 + t^4.25 + t^4.5 + 2*t^4.62 + 2*t^4.75 + 4*t^4.88 + 3*t^5. + 3*t^5.12 + 4*t^5.25 + t^5.38 + 5*t^5.5 + t^5.75 - 3*t^6. + t^6.12 + t^6.25 + t^6.38 + 3*t^6.5 + 2*t^6.62 + 3*t^6.75 + 2*t^6.88 + 3*t^7. + 4*t^7.12 + 5*t^7.25 + 4*t^7.38 + 8*t^7.5 + 6*t^7.62 + 7*t^7.75 + 5*t^7.88 + 8*t^8. - 2*t^8.12 + 6*t^8.25 - 4*t^8.38 - 3*t^8.5 - t^8.62 - 5*t^8.75 + 3*t^8.88 - t^4.38/y - t^6.5/y - t^6.88/y - t^7.12/y + t^7.5/y + (3*t^7.62)/y + (5*t^7.88)/y + t^8./y + (3*t^8.12)/y + (5*t^8.25)/y + t^8.38/y + (3*t^8.5)/y - t^8.62/y + (2*t^8.75)/y + t^8.88/y - t^4.38*y - t^6.5*y - t^6.88*y - t^7.12*y + t^7.5*y + 3*t^7.62*y + 5*t^7.88*y + t^8.*y + 3*t^8.12*y + 5*t^8.25*y + t^8.38*y + 3*t^8.5*y - t^8.62*y + 2*t^8.75*y + t^8.88*y | g1^10*t^2.12 + g1^14*t^2.38 + (2*t^2.5)/g1^8 + (2*t^2.75)/g1^4 + t^3. + g1^12*t^3.75 + g1^16*t^4. + t^4.12/g1^6 + g1^20*t^4.25 + g1^24*t^4.5 + 2*g1^2*t^4.62 + 2*g1^28*t^4.75 + 4*g1^6*t^4.88 + (3*t^5.)/g1^16 + 3*g1^10*t^5.12 + (4*t^5.25)/g1^12 + g1^14*t^5.38 + (5*t^5.5)/g1^8 + t^5.75/g1^4 - 3*t^6. - t^6.12/g1^22 + 2*g1^26*t^6.12 + g1^4*t^6.25 - t^6.38/g1^18 + 2*g1^30*t^6.38 + 3*g1^8*t^6.5 + t^6.62/g1^14 + g1^34*t^6.62 + 3*g1^12*t^6.75 + 2*g1^38*t^6.88 + 3*g1^16*t^7. + (2*t^7.12)/g1^6 + 2*g1^42*t^7.12 + 5*g1^20*t^7.25 + (4*t^7.38)/g1^2 + (3*t^7.5)/g1^24 + 5*g1^24*t^7.5 + 6*g1^2*t^7.62 + (5*t^7.75)/g1^20 + 2*g1^28*t^7.75 + 5*g1^6*t^7.88 + (8*t^8.)/g1^16 - 2*g1^10*t^8.12 + (5*t^8.25)/g1^12 + g1^36*t^8.25 - 4*g1^14*t^8.38 - (7*t^8.5)/g1^8 + 4*g1^40*t^8.5 - t^8.62/g1^30 - (8*t^8.75)/g1^4 + 3*g1^44*t^8.75 - (3*t^8.88)/g1^26 + 6*g1^22*t^8.88 - t^4.38/(g1^2*y) - (g1^8*t^6.5)/y - t^6.88/(g1^10*y) - t^7.12/(g1^6*y) + (g1^24*t^7.5)/y + (3*g1^2*t^7.62)/y + (5*g1^6*t^7.88)/y + t^8./(g1^16*y) + (3*g1^10*t^8.12)/y + (5*t^8.25)/(g1^12*y) + (g1^14*t^8.38)/y + (3*t^8.5)/(g1^8*y) - (g1^18*t^8.62)/y + (2*t^8.75)/(g1^4*y) + (g1^22*t^8.88)/y - (t^4.38*y)/g1^2 - g1^8*t^6.5*y - (t^6.88*y)/g1^10 - (t^7.12*y)/g1^6 + g1^24*t^7.5*y + 3*g1^2*t^7.62*y + 5*g1^6*t^7.88*y + (t^8.*y)/g1^16 + 3*g1^10*t^8.12*y + (5*t^8.25*y)/g1^12 + g1^14*t^8.38*y + (3*t^8.5*y)/g1^8 - g1^18*t^8.62*y + (2*t^8.75*y)/g1^4 + g1^22*t^8.88*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 |
|---|---|---|---|---|---|---|---|---|
| 56004 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ q_2^2\tilde{q}_1\tilde{q}_2$ + $ M_1X_1$ + $ M_5q_2\tilde{q}_1$ + $ M_2X_2$ + $ M_6\phi_1^2$ | 0.6053 | 0.7727 | 0.7834 | [X:[1.3794, 1.3216], M:[0.6206, 0.6784, 1.0, 0.701, 0.8392, 1.0804], q:[0.7701, 0.6093], qb:[0.5515, 0.2299], phi:[0.4598]] | t^2.1 + t^2.34 + 2*t^2.52 + t^2.76 + t^3. + t^3.24 + t^3.72 + t^3.96 + t^4.14 + t^4.21 + t^4.45 + 2*t^4.62 + 2*t^4.69 + 3*t^4.86 + 3*t^5.04 + 2*t^5.1 + 2*t^5.28 + 2*t^5.34 + 3*t^5.52 + t^5.59 + 2*t^5.76 - 2*t^6. - t^4.38/y - t^4.38*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46729 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ q_2^2\tilde{q}_1\tilde{q}_2$ + $ M_1X_1$ | 0.6196 | 0.8021 | 0.7724 | [X:[1.3806], M:[0.6194, 0.6815, 1.0, 0.6991], q:[0.7699, 0.6106], qb:[0.5486, 0.2301], phi:[0.4602]] | t^2.04 + t^2.1 + t^2.34 + t^2.52 + 2*t^2.76 + t^3. + t^3.48 + t^3.72 + t^4.09 + 2*t^4.14 + t^4.19 + t^4.38 + t^4.43 + t^4.57 + t^4.62 + 2*t^4.67 + 2*t^4.81 + 3*t^4.86 + 2*t^5.04 + 3*t^5.1 + 2*t^5.28 + t^5.34 + 5*t^5.52 + t^5.58 + 2*t^5.76 + t^5.81 - 2*t^6. - t^4.38/y - t^4.38*y | detail |