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 |
|---|---|---|---|---|---|---|---|---|---|
| 8620 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ q_1^2q_2^2$ + $ \phi_1^4X_2$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_1q_2$ + $ M_3\phi_1q_2^2$ | 1.1654 | 1.2799 | 0.9105 | [X:[1.6667, 1.3333], M:[0.8333, 0.8333, 0.8333], q:[0.5, 0.5], qb:[], phi:[0.1667]] | [X:[[0], [0]], M:[[2], [0], [-2]], q:[[-1], [1]], qb:[], phi:[[0]]] | 1 | {a: 895/768, c: 983/768, X1: 5/3, X2: 4/3, M1: 5/6, M2: 5/6, M3: 5/6, q1: 1/2, q2: 1/2, phi1: 1/6} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ M_2$, $ M_3$, $ M_3$, $ M_1$, $ q_1q_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$, $ M_1^2$, $ M_1M_2$, $ M_2^2$, $ M_1M_3$, $ M_2M_3$, $ M_3^2$, $ X_1$, $ M_3^2$, $ M_2M_3$, $ M_1M_2$, $ M_1^2$, $ M_1q_1q_2$, $ M_2q_1q_2$, $ M_3q_1q_2$, $ M_3q_1q_2$, $ M_1q_1q_2$ | . | -3 | 3*t^2.5 + t^3. + 2*t^4. + 3*t^4.5 + 7*t^5. + 3*t^5.5 - 3*t^6. + 3*t^6.5 + 8*t^7. + 13*t^7.5 + 10*t^8. - 5*t^8.5 + t^8./y^2 - t^3.5/y - t^4.5/y - (3*t^6.)/y - t^6.5/y - (3*t^7.)/y - (2*t^7.5)/y + (3*t^8.)/y - (4*t^8.5)/y - t^3.5*y - t^4.5*y - 3*t^6.*y - t^6.5*y - 3*t^7.*y - 2*t^7.5*y + 3*t^8.*y - 4*t^8.5*y + t^8.*y^2 | t^2.5 + t^2.5/g1^2 + g1^2*t^2.5 + t^3. + 2*t^4. + t^4.5 + t^4.5/g1^2 + g1^2*t^4.5 + 3*t^5. + t^5./g1^4 + t^5./g1^2 + g1^2*t^5. + g1^4*t^5. + t^5.5 + t^5.5/g1^2 + g1^2*t^5.5 - t^6. - t^6./g1^2 - g1^2*t^6. + t^6.5 + t^6.5/g1^2 + g1^2*t^6.5 + 4*t^7. + t^7./g1^4 + t^7./g1^2 + g1^2*t^7. + g1^4*t^7. + 3*t^7.5 + t^7.5/g1^6 + t^7.5/g1^4 + (3*t^7.5)/g1^2 + 3*g1^2*t^7.5 + g1^4*t^7.5 + g1^6*t^7.5 + 6*t^8. + t^8./g1^4 + t^8./g1^2 + g1^2*t^8. + g1^4*t^8. - t^8.5 - t^8.5/g1^4 - t^8.5/g1^2 - g1^2*t^8.5 - g1^4*t^8.5 + t^8./y^2 - t^3.5/y - t^4.5/y - t^6./y - t^6./(g1^2*y) - (g1^2*t^6.)/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 - (2*t^8.5)/y - t^8.5/(g1^4*y) - (g1^4*t^8.5)/y - t^3.5*y - t^4.5*y - t^6.*y - (t^6.*y)/g1^2 - g1^2*t^6.*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 - 2*t^8.5*y - (t^8.5*y)/g1^4 - g1^4*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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 8390 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ q_1^2q_2^2$ + $ \phi_1^4X_2$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_1q_2$ | 1.1523 | 1.2587 | 0.9155 | [X:[1.6667, 1.3333], M:[0.7981, 0.8333], q:[0.5176, 0.4824], qb:[], phi:[0.1667]] | t^2.39 + t^2.5 + t^3. + t^3.39 + 2*t^4. + t^4.39 + t^4.5 + t^4.61 + t^4.79 + t^4.89 + 2*t^5. + t^5.39 + t^5.5 + t^5.79 - t^6. - t^3.5/y - t^4.5/y - t^5.89/y - t^6./y - t^3.5*y - t^4.5*y - t^5.89*y - t^6.*y | detail |