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 |
|---|---|---|---|---|---|---|---|---|---|
| 8232 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1q_1q_2$ + $ M_1\phi_1^4$ + $ q_1q_2X_2$ | 1.0795 | 1.2114 | 0.8911 | [X:[1.5556, 1.3333], M:[1.1111], q:[0.3333, 0.3333], qb:[], phi:[0.2222]] | [X:[[0], [0]], M:[[0]], q:[[-1], [1]], qb:[], phi:[[0]]] | 1 | {a: 1399/1296, c: 785/648, X1: 14/9, X2: 4/3, M1: 10/9, q1: 1/3, q2: 1/3, phi1: 2/9} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1^4$, $ \phi_1q_1^2$, $ \phi_1q_2^2$, $ \phi_1q_1^2$, $ \phi_1q_2^2$, $ M_1$, $ \phi_1^2q_1q_2$, $ \phi_1^3q_1^2$, $ \phi_1^3q_1q_2$, $ \phi_1^3q_2^2$, $ X_2$, $ \phi_1^3q_1^2$, $ \phi_1^3q_2^2$, $ X_1$, $ \phi_1^8$, $ \phi_1^5q_1^2$, $ \phi_1^2q_1^4$, $ \phi_1^5q_2^2$, $ \phi_1^2q_1^2q_2^2$, $ \phi_1^2q_2^4$, $ \phi_1^2q_1^4$, $ \phi_1^5q_1^2$, $ \phi_1^5q_2^2$, $ \phi_1^2q_2^4$ | $\phi_1^6q_1q_2$, $ \phi_1^3q_1^3q_2$, $ \phi_1^3q_1q_2^3$ | 2 | 3*t^2.67 + 2*t^3.33 + 4*t^4. + t^4.67 + 6*t^5.33 + 2*t^6. + 11*t^6.67 + 5*t^7.33 + 17*t^8. + 2*t^8.67 + t^8.67/y^2 - t^3.67/y - t^5./y - (3*t^6.33)/y - t^7./y - (4*t^7.67)/y + (2*t^8.33)/y - t^3.67*y - t^5.*y - 3*t^6.33*y - t^7.*y - 4*t^7.67*y + 2*t^8.33*y + t^8.67*y^2 | t^2.67 + t^2.67/g1^2 + g1^2*t^2.67 + 2*t^3.33 + 2*t^4. + t^4./g1^2 + g1^2*t^4. + t^4.67 + 2*t^5.33 + t^5.33/g1^4 + t^5.33/g1^2 + g1^2*t^5.33 + g1^4*t^5.33 + t^6./g1^2 + g1^2*t^6. + 5*t^6.67 + t^6.67/g1^4 + (2*t^6.67)/g1^2 + 2*g1^2*t^6.67 + g1^4*t^6.67 + 3*t^7.33 + t^7.33/g1^2 + g1^2*t^7.33 + 5*t^8. + t^8./g1^6 + (2*t^8.)/g1^4 + (3*t^8.)/g1^2 + 3*g1^2*t^8. + 2*g1^4*t^8. + g1^6*t^8. + 2*t^8.67 + t^8.67/g1^4 - t^8.67/g1^2 - g1^2*t^8.67 + g1^4*t^8.67 + t^8.67/y^2 - t^3.67/y - t^5./y - t^6.33/y - t^6.33/(g1^2*y) - (g1^2*t^6.33)/y - t^7./y - (2*t^7.67)/y - t^7.67/(g1^2*y) - (g1^2*t^7.67)/y + t^8.33/(g1^2*y) + (g1^2*t^8.33)/y - t^3.67*y - t^5.*y - t^6.33*y - (t^6.33*y)/g1^2 - g1^2*t^6.33*y - t^7.*y - 2*t^7.67*y - (t^7.67*y)/g1^2 - g1^2*t^7.67*y + (t^8.33*y)/g1^2 + g1^2*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 |
|---|---|---|---|---|---|---|---|---|
| 8489 | $\phi_1^2X_1$ + $ M_1\phi_1q_1q_2$ + $ M_1\phi_1^4$ + $ q_1q_2X_2$ + $ M_1M_2$ | 1.0895 | 1.2284 | 0.8869 | [X:[1.5556, 1.3333], M:[1.1111, 0.8889], q:[0.3333, 0.3333], qb:[], phi:[0.2222]] | 4*t^2.67 + t^3.33 + 4*t^4. + t^4.67 + 10*t^5.33 - t^3.67/y - t^5./y - t^3.67*y - t^5.*y | detail | {a: 353/324, c: 199/162, X1: 14/9, X2: 4/3, M1: 10/9, M2: 8/9, q1: 1/3, q2: 1/3, phi1: 2/9} |
| 8488 | $\phi_1^2X_1$ + $ M_1\phi_1q_1q_2$ + $ M_1\phi_1^4$ + $ q_1q_2X_2$ + $ M_2\phi_1^4$ | 1.0694 | 1.1944 | 0.8953 | [X:[1.5556, 1.3333], M:[1.1111, 1.1111], q:[0.3333, 0.3333], qb:[], phi:[0.2222]] | 2*t^2.67 + 3*t^3.33 + 4*t^4. + t^4.67 + 3*t^5.33 + 2*t^6. - t^3.67/y - t^5./y - t^3.67*y - t^5.*y | detail | {a: 77/72, c: 43/36, X1: 14/9, X2: 4/3, M1: 10/9, M2: 10/9, q1: 1/3, q2: 1/3, phi1: 2/9} |
| 8487 | $\phi_1^2X_1$ + $ M_1\phi_1q_1q_2$ + $ M_1\phi_1^4$ + $ q_1q_2X_2$ + $ \phi_1^2q_1^4$ | 1.0656 | 1.1975 | 0.8898 | [X:[1.5556, 1.3333], M:[1.1111], q:[0.3889, 0.2778], qb:[], phi:[0.2222]] | t^2.33 + t^2.67 + t^3. + 2*t^3.33 + t^3.67 + 2*t^4. + t^4.33 + 2*t^4.67 + t^5. + 2*t^5.33 + 2*t^5.67 + 2*t^6. - t^3.67/y - t^5./y - t^6./y - t^3.67*y - t^5.*y - t^6.*y | detail | {a: 1381/1296, c: 97/81, X1: 14/9, X2: 4/3, M1: 10/9, q1: 7/18, q2: 5/18, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 8192 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1q_1q_2$ | 1.1667 | 1.2918 | 0.9032 | [X:[1.6362], M:[0.9095], q:[0.4543, 0.4543], qb:[], phi:[0.1819]] | t^2.18 + 2*t^2.73 + 2*t^3.27 + t^3.82 + 3*t^4.36 + t^4.37 + 3*t^4.91 + 4*t^5.45 + t^5.46 + t^6. - t^3.55/y - t^4.64/y - t^5.73/y - t^3.55*y - t^4.64*y - t^5.73*y | detail |