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 |
|---|---|---|---|---|---|---|---|---|---|
| 45274 | SO5adj1nf2 | $q_1^3q_2$ + $ M_1q_2^2$ + $ M_2q_1q_2$ + $ \phi_1^2X_1$ + $ M_3\phi_1^4$ + $ M_3^2$ + $ M_1X_2$ | 1.4044 | 1.4669 | 0.9574 | [X:[1.5, 1.75], M:[0.25, 0.75, 1.0], q:[0.375, 0.875], qb:[], phi:[0.25]] | [X:[[0], [0]], M:[[0], [0], [0]], q:[[0], [0]], qb:[], phi:[[0]]] | 0 | {a: 11505/8192, c: 12017/8192, X1: 3/2, X2: 7/4, M1: 1/4, M2: 3/4, M3: 1, q1: 3/8, q2: 7/8, phi1: 1/4} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ q_1^2$, $ \phi_1^2q_1$, $ M_3$, $ \phi_1^2q_1^2$, $ \phi_1^2q_2$, $ M_2^2$, $ M_2q_1^2$, $ \phi_1q_1q_2$, $ X_1$, $ M_2\phi_1^2q_1$, $ M_2M_3$, $ M_3q_1^2$, $ \phi_1^4q_1^2$, $ \phi_1^2q_1q_2$, $ X_2$, $ M_3\phi_1^2q_1$ | $M_2\phi_1^2q_1^2$, $ \phi_1^3q_1q_2$ | 1 | 2*t^2.25 + t^2.62 + t^3. + t^3.75 + t^4.12 + 4*t^4.5 + t^4.88 + 4*t^5.25 + t^5.62 + t^6. + 2*t^6.38 + 7*t^6.75 + 3*t^7.12 + 7*t^7.5 + 3*t^7.88 + 3*t^8.25 + 4*t^8.62 + t^8.62/y^2 - t^3.75/y - t^4.88/y - t^5.25/y - (2*t^6.)/y - (2*t^6.38)/y - t^6.75/y - t^7.12/y - (2*t^7.5)/y - (2*t^8.25)/y - (2*t^8.62)/y - t^3.75*y - t^4.88*y - t^5.25*y - 2*t^6.*y - 2*t^6.38*y - t^6.75*y - t^7.12*y - 2*t^7.5*y - 2*t^8.25*y - 2*t^8.62*y + t^8.62*y^2 | 2*t^2.25 + t^2.62 + t^3. + t^3.75 + t^4.12 + 4*t^4.5 + t^4.88 + 4*t^5.25 + t^5.62 + t^6. + 2*t^6.38 + 7*t^6.75 + 3*t^7.12 + 7*t^7.5 + 3*t^7.88 + 3*t^8.25 + 4*t^8.62 + t^8.62/y^2 - t^3.75/y - t^4.88/y - t^5.25/y - (2*t^6.)/y - (2*t^6.38)/y - t^6.75/y - t^7.12/y - (2*t^7.5)/y - (2*t^8.25)/y - (2*t^8.62)/y - t^3.75*y - t^4.88*y - t^5.25*y - 2*t^6.*y - 2*t^6.38*y - t^6.75*y - t^7.12*y - 2*t^7.5*y - 2*t^8.25*y - 2*t^8.62*y + t^8.62*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 |
|---|---|---|---|---|---|---|---|---|
| 45469 | $q_1^3q_2$ + $ M_1q_2^2$ + $ M_2q_1q_2$ + $ \phi_1^2X_1$ + $ M_3\phi_1^4$ + $ M_3^2$ + $ M_1X_2$ + $ M_2M_4$ | 1.3854 | 1.4323 | 0.9673 | [X:[1.5, 1.75], M:[0.25, 0.75, 1.0, 1.25], q:[0.375, 0.875], qb:[], phi:[0.25]] | t^2.25 + t^2.62 + t^3. + 2*t^3.75 + t^4.12 + 2*t^4.5 + 3*t^5.25 + t^5.62 + t^6. - t^3.75/y - t^4.88/y - t^5.25/y - t^6./y - t^3.75*y - t^4.88*y - t^5.25*y - t^6.*y | detail | {a: 11349/8192, c: 11733/8192, X1: 3/2, X2: 7/4, M1: 1/4, M2: 3/4, M3: 1, M4: 5/4, q1: 3/8, q2: 7/8, phi1: 1/4} |
| 45508 | $q_1^3q_2$ + $ M_1q_2^2$ + $ M_2q_1q_2$ + $ \phi_1^2X_1$ + $ M_3\phi_1^4$ + $ M_3^2$ + $ M_1X_2$ + $ M_4\phi_1^2q_1^2$ | 1.4235 | 1.5016 | 0.948 | [X:[1.5, 1.75], M:[0.25, 0.75, 1.0, 0.75], q:[0.375, 0.875], qb:[], phi:[0.25]] | 3*t^2.25 + t^2.62 + t^3. + t^4.12 + 7*t^4.5 + 2*t^4.88 + 5*t^5.25 + t^5.62 - t^6. - t^3.75/y - t^4.88/y - t^5.25/y - (3*t^6.)/y - t^3.75*y - t^4.88*y - t^5.25*y - 3*t^6.*y | detail | {a: 11661/8192, c: 12301/8192, X1: 3/2, X2: 7/4, M1: 1/4, M2: 3/4, M3: 1, M4: 3/4, q1: 3/8, q2: 7/8, phi1: 1/4} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 45175 | SO5adj1nf2 | $q_1^3q_2$ + $ M_1q_2^2$ + $ M_2q_1q_2$ + $ \phi_1^2X_1$ + $ M_3\phi_1^4$ | 1.7839 | 1.8881 | 0.9448 | [X:[1.3346], M:[0.9944, 0.9981, 0.6692], q:[0.4991, 0.5028], qb:[], phi:[0.3327]] | t^2.01 + t^2.98 + 2*t^2.99 + t^3.49 + t^3.5 + 2*t^4. + t^4.01 + 2*t^4.99 + 3*t^5. + t^5.01 + t^5.5 + t^5.51 + t^5.97 + 2*t^5.98 + 2*t^5.99 - t^6. - t^4./y - t^5.5/y - t^5.51/y - t^5.99/y - t^4.*y - t^5.5*y - t^5.51*y - t^5.99*y | detail |