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 |
|---|---|---|---|---|---|---|---|---|---|
| 45523 | SO5adj1nf2 | $M_1\phi_1^2q_1$ + $ M_1q_2^2$ + $ M_2q_1^2$ + $ \phi_1^2X_1$ + $ M_3\phi_1^4$ + $ M_4q_1q_2$ + $ M_3^2$ + $ M_2X_2$ | 1.611 | 1.6839 | 0.9567 | [X:[1.5, 1.3333], M:[0.8333, 0.6667, 1.0, 0.75], q:[0.6667, 0.5833], qb:[], phi:[0.25]] | [X:[[0], [0]], M:[[0], [0], [0], [0]], q:[[0], [0]], qb:[], phi:[[0]]] | 0 | {a: 4949/3072, c: 5173/3072, X1: 3/2, X2: 4/3, M1: 5/6, M2: 2/3, M3: 1, M4: 3/4, q1: 2/3, q2: 7/12, phi1: 1/4} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_1$, $ M_3$, $ \phi_1^2q_2$, $ q_2^2$, $ X_2$, $ M_4^2$, $ \phi_1q_1q_2$, $ X_1$, $ M_1M_4$, $ M_1^2$, $ \phi_1^2q_2^2$, $ M_3M_4$, $ \phi_1^2q_1q_2$, $ M_1M_3$, $ \phi_1^2q_1^2$, $ M_4\phi_1^2q_2$ | $\phi_1^3q_1q_2$ | 1 | t^2.25 + t^2.5 + t^3. + t^3.25 + t^3.5 + t^4. + 3*t^4.5 + t^4.75 + 2*t^5. + 2*t^5.25 + 2*t^5.5 + t^6. + t^6.25 + 2*t^6.5 + 3*t^6.75 + 4*t^7. + 2*t^7.25 + 6*t^7.5 + 4*t^7.75 + 4*t^8. + 2*t^8.25 + 4*t^8.5 + t^8.75 - t^3.75/y - t^5.25/y - t^5.5/y - t^5.75/y - t^6./y - t^6.25/y - t^6.75/y - t^7./y - t^7.25/y - t^7.5/y - t^7.75/y - t^8./y - (3*t^8.25)/y - t^8.75/y - t^3.75*y - t^5.25*y - t^5.5*y - t^5.75*y - t^6.*y - t^6.25*y - t^6.75*y - t^7.*y - t^7.25*y - t^7.5*y - t^7.75*y - t^8.*y - 3*t^8.25*y - t^8.75*y | t^2.25 + t^2.5 + t^3. + t^3.25 + t^3.5 + t^4. + 3*t^4.5 + t^4.75 + 2*t^5. + 2*t^5.25 + 2*t^5.5 + t^6. + t^6.25 + 2*t^6.5 + 3*t^6.75 + 4*t^7. + 2*t^7.25 + 6*t^7.5 + 4*t^7.75 + 4*t^8. + 2*t^8.25 + 4*t^8.5 + t^8.75 - t^3.75/y - t^5.25/y - t^5.5/y - t^5.75/y - t^6./y - t^6.25/y - t^6.75/y - t^7./y - t^7.25/y - t^7.5/y - t^7.75/y - t^8./y - (3*t^8.25)/y - t^8.75/y - t^3.75*y - t^5.25*y - t^5.5*y - t^5.75*y - t^6.*y - t^6.25*y - t^6.75*y - t^7.*y - t^7.25*y - t^7.5*y - t^7.75*y - t^8.*y - 3*t^8.25*y - t^8.75*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 |
|---|---|---|---|---|---|---|---|---|
| 45582 | $M_1\phi_1^2q_1$ + $ M_1q_2^2$ + $ M_2q_1^2$ + $ \phi_1^2X_1$ + $ M_3\phi_1^4$ + $ M_4q_1q_2$ + $ M_3^2$ + $ M_2X_2$ + $ M_5\phi_1^2q_2$ | 1.6187 | 1.6968 | 0.954 | [X:[1.5, 1.3333], M:[0.8333, 0.6667, 1.0, 0.75, 0.9167], q:[0.6667, 0.5833], qb:[], phi:[0.25]] | t^2.25 + t^2.5 + t^2.75 + t^3. + t^3.5 + t^4. + 3*t^4.5 + t^4.75 + 3*t^5. + 3*t^5.25 + 2*t^5.5 + t^6. - t^3.75/y - t^5.25/y - t^5.5/y - t^5.75/y - t^6./y - t^3.75*y - t^5.25*y - t^5.5*y - t^5.75*y - t^6.*y | detail | {a: 3315/2048, c: 3475/2048, X1: 3/2, X2: 4/3, M1: 5/6, M2: 2/3, M3: 1, M4: 3/4, M5: 11/12, q1: 2/3, q2: 7/12, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 45387 | SO5adj1nf2 | $M_1\phi_1^2q_1$ + $ M_1q_2^2$ + $ M_2q_1^2$ + $ \phi_1^2X_1$ + $ M_3\phi_1^4$ + $ M_4q_1q_2$ | 1.7719 | 1.8752 | 0.9449 | [X:[1.3467], M:[0.8844, 1.0754, 0.6935, 0.9799], q:[0.4623, 0.5578], qb:[], phi:[0.3266]] | t^2.08 + t^2.65 + t^2.94 + t^3.23 + t^3.35 + t^3.63 + 2*t^4.04 + t^4.16 + 2*t^4.73 + 2*t^5.02 + 3*t^5.31 + t^5.43 + t^5.59 + 2*t^5.88 - t^3.98/y - t^5.37/y - t^5.65/y - t^5.94/y - t^3.98*y - t^5.37*y - t^5.65*y - t^5.94*y | detail |