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 |
|---|---|---|---|---|---|---|---|---|---|
| 8186 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ q_1^2q_2^2$ + $ \phi_1^4X_2$ | 1.1224 | 1.2057 | 0.9309 | [X:[1.6667, 1.3333], M:[], q:[0.5, 0.5], qb:[], phi:[0.1667]] | [X:[[0], [0]], M:[], q:[[-1], [1]], qb:[], phi:[[0]]] | 1 | {a: 431/384, c: 463/384, X1: 5/3, X2: 4/3, q1: 1/2, q2: 1/2, phi1: 1/6} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $q_1q_2$, $ \phi_1q_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_2^2$, $ \phi_1q_1^2$, $ \phi_1q_2^2$, $ \phi_1^2q_1q_2$, $ X_2$, $ \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$, $ X_1$ | . | -3 | t^3. + 3*t^3.5 + 2*t^4. + 3*t^4.5 + t^5. - 3*t^6. + 5*t^7. + 6*t^7.5 + 13*t^8. + 7*t^8.5 + t^8./y^2 - t^3.5/y - t^4.5/y - t^6.5/y - (3*t^7.)/y - (2*t^7.5)/y - (3*t^8.)/y - t^8.5/y - t^3.5*y - t^4.5*y - t^6.5*y - 3*t^7.*y - 2*t^7.5*y - 3*t^8.*y - t^8.5*y + t^8.*y^2 | t^3. + t^3.5 + t^3.5/g1^2 + g1^2*t^3.5 + 2*t^4. + t^4.5 + t^4.5/g1^2 + g1^2*t^4.5 + t^5. - t^6. - t^6./g1^2 - g1^2*t^6. + 3*t^7. + t^7./g1^4 + g1^4*t^7. + 2*t^7.5 + (2*t^7.5)/g1^2 + 2*g1^2*t^7.5 + 7*t^8. + t^8./g1^4 + (2*t^8.)/g1^2 + 2*g1^2*t^8. + g1^4*t^8. + 3*t^8.5 + (2*t^8.5)/g1^2 + 2*g1^2*t^8.5 + t^8./y^2 - t^3.5/y - t^4.5/y - t^6.5/y - t^7./y - t^7./(g1^2*y) - (g1^2*t^7.)/y - (2*t^7.5)/y - t^8./y - t^8./(g1^2*y) - (g1^2*t^8.)/y - t^8.5/y - t^3.5*y - t^4.5*y - t^6.5*y - t^7.*y - (t^7.*y)/g1^2 - g1^2*t^7.*y - 2*t^7.5*y - t^8.*y - (t^8.*y)/g1^2 - g1^2*t^8.*y - t^8.5*y + t^8.*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 |
|---|---|---|---|---|---|---|---|---|
| 8207 | $\phi_1^2X_1$ + $ q_1^2q_2^2$ + $ \phi_1^4X_2$ + $ M_1\phi_1q_1q_2$ | 1.1367 | 1.2305 | 0.9238 | [X:[1.6667, 1.3333], M:[0.8333], q:[0.5, 0.5], qb:[], phi:[0.1667]] | t^2.5 + t^3. + 2*t^3.5 + 2*t^4. + 3*t^4.5 + 2*t^5. + t^5.5 - t^6. - t^3.5/y - t^4.5/y - t^6./y - t^3.5*y - t^4.5*y - t^6.*y | detail | {a: 291/256, c: 315/256, X1: 5/3, X2: 4/3, M1: 5/6, q1: 1/2, q2: 1/2, phi1: 1/6} |
| 8204 | $\phi_1^2X_1$ + $ q_1^2q_2^2$ + $ \phi_1^4X_2$ + $ M_1\phi_1q_1^2$ | 1.138 | 1.2339 | 0.9222 | [X:[1.6667, 1.3333], M:[0.7981], q:[0.5176, 0.4824], qb:[], phi:[0.1667]] | t^2.39 + t^3. + t^3.39 + t^3.5 + 2*t^4. + t^4.39 + t^4.5 + t^4.61 + t^4.79 + t^5. + t^5.39 + t^5.79 - t^6. - t^3.5/y - t^4.5/y - t^5.89/y - t^3.5*y - t^4.5*y - t^5.89*y | detail |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 8183 | Sp2adj1nf1 | $\phi_1^2X_1$ | 1.1597 | 1.2847 | 0.9027 | [X:[1.6249], M:[], q:[0.4374, 0.4374], qb:[], phi:[0.1875]] | t^2.25 + t^2.62 + 3*t^3.19 + t^3.75 + 3*t^4.31 + t^4.5 + 2*t^4.87 + t^5.25 + 3*t^5.44 + 3*t^5.81 - 3*t^6. - t^3.56/y - t^4.69/y - t^5.81/y - t^3.56*y - t^4.69*y - t^5.81*y | detail |