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 |
|---|---|---|---|---|---|---|---|---|---|
| 8828 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_1q_2$ + $ M_2\phi_1^4$ + $ q_1q_2X_2$ + $ M_2M_3$ + $ M_4\phi_1^2q_1q_2$ | 1.0912 | 1.2325 | 0.8853 | [X:[1.5556, 1.3333], M:[1.0714, 1.1111, 0.8889, 0.8889], q:[0.3532, 0.3135], qb:[], phi:[0.2222]] | [X:[[0], [0]], M:[[2], [0], [0], [0]], q:[[-1], [1]], qb:[], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1q_2^2$, $ M_3$, $ M_4$, $ \phi_1^4$, $ M_1$, $ \phi_1^3q_2^2$, $ \phi_1^3q_1q_2$, $ X_2$, $ \phi_1^3q_1^2$, $ X_1$, $ \phi_1^2q_2^4$, $ M_3\phi_1q_2^2$, $ M_4\phi_1q_2^2$, $ \phi_1^5q_2^2$, $ M_3^2$, $ M_3M_4$, $ M_4^2$, $ M_3\phi_1^4$, $ M_4\phi_1^4$, $ \phi_1^8$, $ M_1\phi_1q_2^2$, $ M_1M_3$, $ M_1M_4$, $ M_1\phi_1^4$ | . | -2 | t^2.55 + 3*t^2.67 + t^3.21 + t^3.88 + 2*t^4. + t^4.12 + t^4.67 + t^5.09 + 3*t^5.21 + 6*t^5.33 + t^5.76 + 2*t^5.88 - 2*t^6. - t^6.12 + 2*t^6.43 + 4*t^6.55 + 5*t^6.67 + 2*t^6.79 + t^7.09 + t^7.21 + 2*t^7.33 - 2*t^7.45 + t^7.64 + 4*t^7.76 + 8*t^7.88 + 11*t^8. + t^8.12 + t^8.24 + t^8.31 + 2*t^8.43 + t^8.55 - 5*t^8.67 - 3*t^8.79 + 2*t^8.98 + t^8.67/y^2 - t^3.67/y - t^5./y - t^6.21/y - (3*t^6.33)/y - t^6.88/y + t^7./y - t^7.55/y - (4*t^7.67)/y + (2*t^8.21)/y + (4*t^8.33)/y - t^3.67*y - t^5.*y - t^6.21*y - 3*t^6.33*y - t^6.88*y + t^7.*y - t^7.55*y - 4*t^7.67*y + 2*t^8.21*y + 4*t^8.33*y + t^8.67*y^2 | g1^2*t^2.55 + 3*t^2.67 + g1^2*t^3.21 + g1^2*t^3.88 + 2*t^4. + t^4.12/g1^2 + t^4.67 + g1^4*t^5.09 + 3*g1^2*t^5.21 + 6*t^5.33 + g1^4*t^5.76 + 2*g1^2*t^5.88 - 2*t^6. - t^6.12/g1^2 + 2*g1^4*t^6.43 + 4*g1^2*t^6.55 + 5*t^6.67 + (2*t^6.79)/g1^2 + g1^4*t^7.09 + g1^2*t^7.21 + 2*t^7.33 - (2*t^7.45)/g1^2 + g1^6*t^7.64 + 4*g1^4*t^7.76 + 8*g1^2*t^7.88 + 11*t^8. + t^8.12/g1^2 + t^8.24/g1^4 + g1^6*t^8.31 + 2*g1^4*t^8.43 + g1^2*t^8.55 - 5*t^8.67 - (3*t^8.79)/g1^2 + 2*g1^6*t^8.98 + t^8.67/y^2 - t^3.67/y - t^5./y - (g1^2*t^6.21)/y - (3*t^6.33)/y - (g1^2*t^6.88)/y + t^7./y - (g1^2*t^7.55)/y - (4*t^7.67)/y + (2*g1^2*t^8.21)/y + (4*t^8.33)/y - t^3.67*y - t^5.*y - g1^2*t^6.21*y - 3*t^6.33*y - g1^2*t^6.88*y + t^7.*y - g1^2*t^7.55*y - 4*t^7.67*y + 2*g1^2*t^8.21*y + 4*t^8.33*y + t^8.67*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 |
|---|---|---|---|---|---|---|---|---|
| 8905 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_1q_2$ + $ M_2\phi_1^4$ + $ q_1q_2X_2$ + $ M_2M_3$ + $ M_4\phi_1^2q_1q_2$ + $ \phi_1^2q_2^4$ | 1.0679 | 1.1998 | 0.89 | [X:[1.5556, 1.3333], M:[1.2222, 1.1111, 0.8889, 0.8889], q:[0.2778, 0.3889], qb:[], phi:[0.2222]] | 3*t^2.67 + t^3. + 2*t^3.67 + 2*t^4. + t^4.33 + t^4.67 + 6*t^5.33 + 2*t^5.67 - t^6. - t^3.67/y - t^5./y - t^3.67*y - t^5.*y | detail | {a: 173/162, c: 1555/1296, X1: 14/9, X2: 4/3, M1: 11/9, M2: 10/9, M3: 8/9, M4: 8/9, q1: 5/18, q2: 7/18, phi1: 2/9} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 8656 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_1q_2$ + $ M_2\phi_1^4$ + $ q_1q_2X_2$ + $ M_2M_3$ | 1.0811 | 1.2156 | 0.8894 | [X:[1.5556, 1.3333], M:[1.0714, 1.1111, 0.8889], q:[0.3532, 0.3135], qb:[], phi:[0.2222]] | t^2.55 + 2*t^2.67 + t^3.21 + t^3.33 + t^3.88 + 2*t^4. + t^4.12 + t^4.67 + t^5.09 + 2*t^5.21 + 3*t^5.33 + t^5.76 + 2*t^5.88 - t^3.67/y - t^5./y - t^3.67*y - t^5.*y | detail |