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 |
|---|---|---|---|---|---|---|---|---|---|
| 45053 | SO5adj1nf2 | $q_1^3q_2$ + $ M_1q_1q_2$ + $ \phi_1^4q_1$ | 1.7554 | 1.8634 | 0.9421 | [X:[], M:[1.0909], q:[0.5455, 0.3636], qb:[], phi:[0.3636]] | [X:[], M:[[0]], q:[[0], [0]], qb:[], phi:[[0]]] | 0 | {a: 37383/21296, c: 19841/10648, M1: 12/11, q1: 6/11, q2: 4/11, phi1: 4/11} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1^2$, $ q_2^2$, $ M_1$, $ q_1^2$, $ \phi_1^2q_2$, $ \phi_1^2q_1$, $ \phi_1q_1q_2$, $ \phi_1^4$, $ \phi_1^2q_2^2$, $ q_2^4$, $ \phi_1^2q_1q_2$, $ M_1\phi_1^2$, $ \phi_1^2q_1^2$, $ \phi_1^4q_2$, $ M_1q_2^2$, $ \phi_1^2q_2^3$ | $2\phi_1^3q_1q_2$, $ \phi_1^2q_1q_2^2$, $ \phi_1q_1q_2^3$ | 3 | 2*t^2.18 + 3*t^3.27 + 2*t^3.82 + 5*t^4.36 + t^4.91 + 6*t^5.45 + 3*t^6. + 11*t^6.55 + 6*t^7.09 + 15*t^7.64 + 8*t^8.18 + 18*t^8.73 - t^4.09/y - t^5.18/y - t^5.73/y - (3*t^6.27)/y - (4*t^7.36)/y - (3*t^7.91)/y - (2*t^8.45)/y - t^4.09*y - t^5.18*y - t^5.73*y - 3*t^6.27*y - 4*t^7.36*y - 3*t^7.91*y - 2*t^8.45*y | 2*t^2.18 + 3*t^3.27 + 2*t^3.82 + 5*t^4.36 + t^4.91 + 6*t^5.45 + 3*t^6. + 11*t^6.55 + 6*t^7.09 + 15*t^7.64 + 8*t^8.18 + 18*t^8.73 - t^4.09/y - t^5.18/y - t^5.73/y - (3*t^6.27)/y - (4*t^7.36)/y - (3*t^7.91)/y - (2*t^8.45)/y - t^4.09*y - t^5.18*y - t^5.73*y - 3*t^6.27*y - 4*t^7.36*y - 3*t^7.91*y - 2*t^8.45*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 |
|---|---|---|---|---|---|---|---|---|
| 45147 | $q_1^3q_2$ + $ M_1q_1q_2$ + $ \phi_1^4q_1$ + $ M_2\phi_1^2q_1$ | 1.7753 | 1.9003 | 0.9342 | [X:[], M:[1.0909, 0.7273], q:[0.5455, 0.3636], qb:[], phi:[0.3636]] | 3*t^2.18 + 3*t^3.27 + t^3.82 + 8*t^4.36 + t^4.91 + 9*t^5.45 + 2*t^6. - t^4.09/y - t^5.18/y - t^5.73/y - t^4.09*y - t^5.18*y - t^5.73*y | detail | {a: 18903/10648, c: 10117/5324, M1: 12/11, M2: 8/11, q1: 6/11, q2: 4/11, phi1: 4/11} |
| 45230 | $q_1^3q_2$ + $ M_1q_1q_2$ + $ \phi_1^4q_1$ + $ M_2\phi_1^2$ | 1.7355 | 1.8264 | 0.9502 | [X:[], M:[1.0909, 1.2727], q:[0.5455, 0.3636], qb:[], phi:[0.3636]] | t^2.18 + 3*t^3.27 + 3*t^3.82 + 3*t^4.36 + t^4.91 + 3*t^5.45 + 2*t^6. - t^4.09/y - t^5.18/y - t^5.73/y - t^4.09*y - t^5.18*y - t^5.73*y | detail | {a: 210/121, c: 221/121, M1: 12/11, M2: 14/11, q1: 6/11, q2: 4/11, phi1: 4/11} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 44933 | SO5adj1nf2 | $q_1^3q_2$ + $ M_1q_1q_2$ | 1.7866 | 1.8917 | 0.9445 | [X:[], M:[1.0214], q:[0.5107, 0.4679], qb:[], phi:[0.3405]] | t^2.04 + t^2.81 + 2*t^3.06 + t^3.45 + t^3.57 + t^3.96 + 2*t^4.09 + 2*t^4.85 + t^4.98 + 3*t^5.11 + t^5.49 + 2*t^5.62 + t^5.87 - t^4.02/y - t^5.43/y - t^5.55/y - t^4.02*y - t^5.43*y - t^5.55*y | detail |