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 |
|---|---|---|---|---|---|---|---|---|---|
| 8409 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ \phi_1q_1^2q_2^2$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_2^2$ | 1.175 | 1.3057 | 0.8999 | [X:[1.6364], M:[0.9091, 0.9091], q:[0.4545, 0.4545], qb:[], phi:[0.1818]] | [X:[[0]], M:[[2], [-2]], q:[[-1], [1]], qb:[], phi:[[0]]] | 1 | {a: 25023/21296, c: 13903/10648, X1: 18/11, M1: 10/11, M2: 10/11, q1: 5/11, q2: 5/11, phi1: 2/11} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1^4$, $ M_1$, $ M_2$, $ q_1q_2$, $ M_2$, $ M_1$, $ \phi_1q_1q_2$, $ \phi_1^2q_1q_2$, $ \phi_1^8$, $ \phi_1^3q_1^2$, $ \phi_1^3q_1q_2$, $ \phi_1^3q_2^2$, $ \phi_1^3q_1^2$, $ \phi_1^3q_2^2$, $ M_1\phi_1^4$, $ M_2\phi_1^4$, $ \phi_1^4q_1q_2$, $ X_1$, $ M_2\phi_1^4$, $ M_1\phi_1^4$, $ M_1^2$, $ M_1M_2$, $ M_2^2$, $ M_1q_1q_2$, $ M_2q_1q_2$, $ \phi_1^5q_1q_2$, $ q_1^2q_2^2$, $ M_2^2$, $ M_2q_1q_2$, $ M_1q_1q_2$, $ M_1^2$ | $M_1\phi_1q_1q_2$, $ M_2\phi_1q_1q_2$, $ \phi_1^6q_1q_2$ | 0 | t^2.18 + 3*t^2.73 + t^3.27 + t^3.82 + 4*t^4.36 + 4*t^4.91 + 7*t^5.45 + 5*t^6.55 + 11*t^7.09 + 10*t^7.64 + 12*t^8.18 + 3*t^8.73 + t^8.18/y^2 - t^8.73/y^2 - t^3.55/y - t^4.64/y - t^5.73/y - (3*t^6.27)/y - (2*t^6.82)/y - (3*t^7.36)/y + t^7.91/y + t^8.45/y - t^3.55*y - t^4.64*y - t^5.73*y - 3*t^6.27*y - 2*t^6.82*y - 3*t^7.36*y + t^7.91*y + t^8.45*y + t^8.18*y^2 - t^8.73*y^2 | t^2.18 + t^2.73 + t^2.73/g1^2 + g1^2*t^2.73 + t^3.27 + t^3.82 + 2*t^4.36 + t^4.36/g1^2 + g1^2*t^4.36 + 2*t^4.91 + t^4.91/g1^2 + g1^2*t^4.91 + 3*t^5.45 + t^5.45/g1^4 + t^5.45/g1^2 + g1^2*t^5.45 + g1^4*t^5.45 + 3*t^6.55 + t^6.55/g1^2 + g1^2*t^6.55 + 5*t^7.09 + t^7.09/g1^4 + (2*t^7.09)/g1^2 + 2*g1^2*t^7.09 + g1^4*t^7.09 + 4*t^7.64 + t^7.64/g1^4 + (2*t^7.64)/g1^2 + 2*g1^2*t^7.64 + g1^4*t^7.64 + 4*t^8.18 + t^8.18/g1^6 + t^8.18/g1^4 + (2*t^8.18)/g1^2 + 2*g1^2*t^8.18 + g1^4*t^8.18 + g1^6*t^8.18 + t^8.73 + t^8.73/g1^4 + g1^4*t^8.73 + t^8.18/y^2 - t^8.73/y^2 - t^3.55/y - t^4.64/y - t^5.73/y - t^6.27/y - t^6.27/(g1^2*y) - (g1^2*t^6.27)/y - (2*t^6.82)/y - t^7.36/y - t^7.36/(g1^2*y) - (g1^2*t^7.36)/y - t^7.91/y + t^7.91/(g1^2*y) + (g1^2*t^7.91)/y + t^8.45/y - t^3.55*y - t^4.64*y - t^5.73*y - t^6.27*y - (t^6.27*y)/g1^2 - g1^2*t^6.27*y - 2*t^6.82*y - t^7.36*y - (t^7.36*y)/g1^2 - g1^2*t^7.36*y - t^7.91*y + (t^7.91*y)/g1^2 + g1^2*t^7.91*y + t^8.45*y + t^8.18*y^2 - t^8.73*y^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 |
|---|---|---|---|---|---|---|---|---|
| 8579 | $\phi_1^2X_1$ + $ \phi_1q_1^2q_2^2$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_2^2$ + $ M_1^2$ | 1.1661 | 1.2968 | 0.8992 | [X:[1.6364], M:[1.0, 0.8182], q:[0.4091, 0.5], qb:[], phi:[0.1818]] | t^2.18 + t^2.45 + t^2.73 + t^3. + t^3.27 + t^3.82 + t^4.09 + 2*t^4.36 + 2*t^4.64 + 3*t^4.91 + 2*t^5.18 + 3*t^5.45 + t^5.73 + t^6. - t^3.55/y - t^4.64/y - t^5.73/y - t^6./y - t^3.55*y - t^4.64*y - t^5.73*y - t^6.*y | detail | {a: 12417/10648, c: 27617/21296, X1: 18/11, M1: 1, M2: 9/11, q1: 9/22, q2: 1/2, phi1: 2/11} |
| 8581 | $\phi_1^2X_1$ + $ \phi_1q_1^2q_2^2$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_2^2$ + $ M_3\phi_1^4$ | 1.1551 | 1.2688 | 0.9104 | [X:[1.6364], M:[0.9091, 0.9091, 1.2727], q:[0.4545, 0.4545], qb:[], phi:[0.1818]] | 3*t^2.73 + t^3.27 + 2*t^3.82 + 3*t^4.36 + t^4.91 + 6*t^5.45 - t^6. - t^3.55/y - t^4.64/y - t^3.55*y - t^4.64*y | detail | {a: 3075/2662, c: 6755/5324, X1: 18/11, M1: 10/11, M2: 10/11, M3: 14/11, q1: 5/11, q2: 5/11, phi1: 2/11} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 8206 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ \phi_1q_1^2q_2^2$ + $ M_1\phi_1q_1^2$ | 1.1686 | 1.2962 | 0.9015 | [X:[1.6364], M:[0.8664], q:[0.4759, 0.4332], qb:[], phi:[0.1818]] | t^2.18 + t^2.6 + t^2.73 + t^3.14 + t^3.27 + t^3.82 + t^4.24 + 2*t^4.36 + t^4.49 + t^4.78 + 2*t^4.91 + t^5.2 + 2*t^5.33 + 2*t^5.45 + t^5.74 + t^5.87 - t^3.55/y - t^4.64/y - t^5.73/y - t^3.55*y - t^4.64*y - t^5.73*y | detail |