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 |
|---|---|---|---|---|---|---|---|---|---|
| 46903 | 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$ + $ q_2\tilde{q}_1^2\tilde{q}_2$ + $ M_2X_2$ | 0.5966 | 0.7557 | 0.7895 | [X:[1.3636, 1.3636], M:[0.6364, 0.6364, 1.0, 0.7273], q:[0.7727, 0.5909], qb:[0.5909, 0.2273], phi:[0.4545]] | [X:[[0], [0]], M:[[0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 105/176, c: 133/176, X1: 15/11, X2: 15/11, M1: 7/11, M2: 7/11, M3: 1, M4: 8/11, q1: 17/22, q2: 13/22, qb1: 13/22, qb2: 5/22, phi1: 5/11} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ q_2\tilde{q}_2$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1^2$, $ \phi_1\tilde{q}_2^2$, $ M_3$, $ q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ X_1$, $ X_2$, $ M_4^2$, $ \phi_1q_1\tilde{q}_2$, $ M_4q_2\tilde{q}_2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_4\phi_1^2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_4\phi_1\tilde{q}_2^2$, $ q_2^2\tilde{q}_2^2$, $ q_2\tilde{q}_1\tilde{q}_2^2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_3M_4$, $ \phi_1^2q_2\tilde{q}_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2^3$, $ \phi_1\tilde{q}_1\tilde{q}_2^3$, $ \phi_1^4$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_1$, $ M_3q_2\tilde{q}_2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ \phi_1^3\tilde{q}_2^2$, $ \phi_1^2\tilde{q}_2^4$, $ M_3\phi_1^2$, $ M_4q_2\tilde{q}_1$, $ M_3\phi_1\tilde{q}_2^2$ | $M_4\phi_1\tilde{q}_1\tilde{q}_2$ | -2 | t^2.18 + 2*t^2.45 + 2*t^2.73 + t^3. + t^3.55 + t^3.82 + 2*t^4.09 + t^4.36 + 2*t^4.64 + 6*t^4.91 + 5*t^5.18 + 5*t^5.45 + 2*t^5.73 - 2*t^6. + 3*t^6.27 + 5*t^6.55 + 3*t^6.82 + 5*t^7.09 + 6*t^7.36 + 11*t^7.64 + 10*t^7.91 + 4*t^8.18 - t^8.45 - 4*t^8.73 - t^4.36/y - t^6.55/y - t^7.09/y + (3*t^7.64)/y + (3*t^7.91)/y + (6*t^8.18)/y + (3*t^8.45)/y + (2*t^8.73)/y - t^4.36*y - t^6.55*y - t^7.09*y + 3*t^7.64*y + 3*t^7.91*y + 6*t^8.18*y + 3*t^8.45*y + 2*t^8.73*y | t^2.18 + 2*t^2.45 + 2*t^2.73 + t^3. + t^3.55 + t^3.82 + 2*t^4.09 + t^4.36 + 2*t^4.64 + 6*t^4.91 + 5*t^5.18 + 5*t^5.45 + 2*t^5.73 - 2*t^6. + 3*t^6.27 + 5*t^6.55 + 3*t^6.82 + 5*t^7.09 + 6*t^7.36 + 11*t^7.64 + 10*t^7.91 + 4*t^8.18 - t^8.45 - 4*t^8.73 - t^4.36/y - t^6.55/y - t^7.09/y + (3*t^7.64)/y + (3*t^7.91)/y + (6*t^8.18)/y + (3*t^8.45)/y + (2*t^8.73)/y - t^4.36*y - t^6.55*y - t^7.09*y + 3*t^7.64*y + 3*t^7.91*y + 6*t^8.18*y + 3*t^8.45*y + 2*t^8.73*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 |
|---|---|---|---|---|---|---|---|---|
| 55328 | $M_1q_1q_2$ + $ 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$ + $ q_2\tilde{q}_1^2\tilde{q}_2$ + $ M_2X_2$ + $ M_4M_5$ | 0.5767 | 0.7188 | 0.8024 | [X:[1.3636, 1.3636], M:[0.6364, 0.6364, 1.0, 0.7273, 1.2727], q:[0.7727, 0.5909], qb:[0.5909, 0.2273], phi:[0.4545]] | 2*t^2.45 + 2*t^2.73 + t^3. + t^3.55 + 2*t^3.82 + 2*t^4.09 + 4*t^4.91 + 4*t^5.18 + 5*t^5.45 + t^5.73 - 3*t^6. - t^4.36/y - t^4.36*y | detail | {a: 6141/10648, c: 15307/21296, X1: 15/11, X2: 15/11, M1: 7/11, M2: 7/11, M3: 1, M4: 8/11, M5: 14/11, q1: 17/22, q2: 13/22, qb1: 13/22, qb2: 5/22, phi1: 5/11} |
| 55315 | $M_1q_1q_2$ + $ 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$ + $ q_2\tilde{q}_1^2\tilde{q}_2$ + $ M_2X_2$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6165 | 0.7926 | 0.7778 | [X:[1.3636, 1.3636], M:[0.6364, 0.6364, 1.0, 0.7273, 0.7273], q:[0.7727, 0.5909], qb:[0.5909, 0.2273], phi:[0.4545]] | 2*t^2.18 + 2*t^2.45 + 2*t^2.73 + t^3. + t^3.55 + 2*t^4.09 + 3*t^4.36 + 4*t^4.64 + 8*t^4.91 + 6*t^5.18 + 5*t^5.45 + 3*t^5.73 - 3*t^6. - t^4.36/y - t^4.36*y | detail | {a: 1641/2662, c: 16879/21296, X1: 15/11, X2: 15/11, M1: 7/11, M2: 7/11, M3: 1, M4: 8/11, M5: 8/11, q1: 17/22, q2: 13/22, qb1: 13/22, qb2: 5/22, phi1: 5/11} |
| 55111 | $M_1q_1q_2$ + $ 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$ + $ q_2\tilde{q}_1^2\tilde{q}_2$ + $ M_2X_2$ + $ M_5\phi_1^2$ | 0.5883 | 0.7417 | 0.7932 | [X:[1.3636, 1.3636], M:[0.6364, 0.6364, 1.0, 0.7273, 1.0909], q:[0.7727, 0.5909], qb:[0.5909, 0.2273], phi:[0.4545]] | t^2.18 + 2*t^2.45 + t^2.73 + t^3. + t^3.27 + t^3.55 + t^3.82 + 2*t^4.09 + t^4.36 + 2*t^4.64 + 5*t^4.91 + 3*t^5.18 + 4*t^5.45 + 3*t^5.73 - t^6. - t^4.36/y - t^4.36*y | detail | {a: 783/1331, c: 15795/21296, X1: 15/11, X2: 15/11, M1: 7/11, M2: 7/11, M3: 1, M4: 8/11, M5: 12/11, q1: 17/22, q2: 13/22, qb1: 13/22, qb2: 5/22, phi1: 5/11} |
| 55399 | $M_1q_1q_2$ + $ 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$ + $ q_2\tilde{q}_1^2\tilde{q}_2$ + $ M_2X_2$ + $ M_5q_2\tilde{q}_1$ | 0.6119 | 0.7824 | 0.7821 | [X:[1.3636, 1.3636], M:[0.6364, 0.6364, 1.0, 0.7273, 0.8182], q:[0.7727, 0.5909], qb:[0.5909, 0.2273], phi:[0.4545]] | t^2.18 + 3*t^2.45 + 2*t^2.73 + t^3. + t^3.82 + 2*t^4.09 + t^4.36 + 3*t^4.64 + 9*t^4.91 + 7*t^5.18 + 6*t^5.45 + t^5.73 - 4*t^6. - t^4.36/y - t^4.36*y | detail | {a: 1629/2662, c: 8331/10648, X1: 15/11, X2: 15/11, M1: 7/11, M2: 7/11, M3: 1, M4: 8/11, M5: 9/11, q1: 17/22, q2: 13/22, qb1: 13/22, qb2: 5/22, phi1: 5/11} |
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 |