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 |
|---|---|---|---|---|---|---|---|---|---|
| 8475 | 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$ | 1.0711 | 1.1986 | 0.8936 | [X:[1.5556, 1.3333], M:[1.0714, 1.1111], q:[0.3532, 0.3135], qb:[], phi:[0.2222]] | [X:[[0], [0]], M:[[2], [0]], q:[[-1], [1]], qb:[], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1q_2^2$, $ \phi_1^4$, $ M_1$, $ M_2$, $ \phi_1^2q_1q_2$, $ \phi_1^3q_2^2$, $ \phi_1^3q_1q_2$, $ X_2$, $ \phi_1^3q_1^2$, $ X_1$, $ \phi_1^2q_2^4$, $ \phi_1^5q_2^2$, $ \phi_1^8$, $ M_1\phi_1q_2^2$, $ M_1\phi_1^4$, $ M_2\phi_1q_2^2$, $ \phi_1^3q_1q_2^3$ | $\phi_1^6q_1q_2$ | 0 | t^2.55 + t^2.67 + t^3.21 + 2*t^3.33 + t^3.88 + 2*t^4. + t^4.12 + t^4.67 + t^5.09 + t^5.21 + t^5.33 + t^5.76 + 2*t^5.88 - t^6.12 + 2*t^6.43 + 4*t^6.55 + 4*t^6.67 + t^7.09 + 3*t^7.21 + 4*t^7.33 + t^7.64 + 2*t^7.76 + 3*t^7.88 + 4*t^8. + t^8.12 + t^8.24 + t^8.31 + 2*t^8.43 + t^8.67 - t^8.79 + 2*t^8.98 + t^8.67/y^2 - t^3.67/y - t^5./y - t^6.21/y - t^6.33/y - t^6.88/y - t^7./y - t^7.55/y - (2*t^7.67)/y - t^8.33/y + (2*t^8.88)/y - t^3.67*y - t^5.*y - t^6.21*y - t^6.33*y - t^6.88*y - t^7.*y - t^7.55*y - 2*t^7.67*y - t^8.33*y + 2*t^8.88*y + t^8.67*y^2 | g1^2*t^2.55 + t^2.67 + g1^2*t^3.21 + 2*t^3.33 + g1^2*t^3.88 + 2*t^4. + t^4.12/g1^2 + t^4.67 + g1^4*t^5.09 + g1^2*t^5.21 + t^5.33 + g1^4*t^5.76 + 2*g1^2*t^5.88 - t^6.12/g1^2 + 2*g1^4*t^6.43 + 4*g1^2*t^6.55 + 4*t^6.67 + g1^4*t^7.09 + 3*g1^2*t^7.21 + 4*t^7.33 + g1^6*t^7.64 + 2*g1^4*t^7.76 + 3*g1^2*t^7.88 + 4*t^8. + t^8.12/g1^2 + t^8.24/g1^4 + g1^6*t^8.31 + 2*g1^4*t^8.43 + t^8.67 - 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 - t^6.33/y - (g1^2*t^6.88)/y - t^7./y - (g1^2*t^7.55)/y - (2*t^7.67)/y - t^8.33/y + (2*g1^2*t^8.88)/y - t^3.67*y - t^5.*y - g1^2*t^6.21*y - t^6.33*y - g1^2*t^6.88*y - t^7.*y - g1^2*t^7.55*y - 2*t^7.67*y - t^8.33*y + 2*g1^2*t^8.88*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 |
|---|---|---|---|---|---|---|---|---|
| 8656 | $\phi_1^2X_1$ + $ 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 | |
| 8653 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_1q_2$ + $ M_2\phi_1^4$ + $ q_1q_2X_2$ + $ M_3\phi_1q_2^2$ | 1.0594 | 1.1775 | 0.8997 | [X:[1.5556, 1.3333], M:[1.1111, 1.1111, 1.1111], q:[0.3333, 0.3333], qb:[], phi:[0.2222]] | t^2.67 + 4*t^3.33 + 4*t^4. + t^4.67 + t^5.33 - t^3.67/y - t^5./y - t^3.67*y - t^5.*y | detail | {a: 1373/1296, c: 763/648, X1: 14/9, X2: 4/3, M1: 10/9, M2: 10/9, M3: 10/9, q1: 1/3, q2: 1/3, phi1: 2/9} |
| 8658 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_1q_2$ + $ M_2\phi_1^4$ + $ q_1q_2X_2$ + $ M_3\phi_1^3q_2^2$ | 1.0916 | 1.2374 | 0.8821 | [X:[1.5556, 1.3333], M:[1.0794, 1.1111, 0.6984], q:[0.3492, 0.3175], qb:[], phi:[0.2222]] | t^2.1 + t^2.57 + t^2.67 + t^3.24 + 2*t^3.33 + 2*t^4. + t^4.1 + t^4.19 + 2*t^4.67 + t^4.76 + t^5.14 + t^5.24 + 2*t^5.33 + 2*t^5.43 + t^5.81 + 2*t^5.9 - t^3.67/y - t^5./y - t^5.76/y - t^3.67*y - t^5.*y - t^5.76*y | detail | {a: 3301/3024, c: 1871/1512, X1: 14/9, X2: 4/3, M1: 68/63, M2: 10/9, M3: 44/63, q1: 22/63, q2: 20/63, phi1: 2/9} |
| 8654 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_1q_2$ + $ M_2\phi_1^4$ + $ q_1q_2X_2$ + $ M_3\phi_1^4$ | 1.0611 | 1.1816 | 0.898 | [X:[1.5556, 1.3333], M:[1.0714, 1.1111, 1.1111], q:[0.3532, 0.3135], qb:[], phi:[0.2222]] | t^2.55 + t^3.21 + 3*t^3.33 + t^3.88 + 2*t^4. + t^4.12 + t^4.67 + t^5.09 + t^5.76 + 2*t^5.88 - 2*t^6. - t^3.67/y - t^5./y - t^3.67*y - t^5.*y | detail | |
| 8649 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_1q_2$ + $ M_2\phi_1^4$ + $ q_1q_2X_2$ + $ \phi_1^2q_2^4$ | 1.0478 | 1.1659 | 0.8987 | [X:[1.5556, 1.3333], M:[1.2222, 1.1111], q:[0.2778, 0.3889], qb:[], phi:[0.2222]] | t^2.67 + t^3. + 2*t^3.33 + 2*t^3.67 + 2*t^4. + t^4.33 + t^4.67 + t^5.33 + t^6. - t^3.67/y - t^5./y - t^3.67*y - t^5.*y | detail | {a: 679/648, c: 1511/1296, X1: 14/9, X2: 4/3, M1: 11/9, M2: 10/9, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 8228 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_1q_2$ | 1.1778 | 1.3093 | 0.8996 | [X:[1.6457], M:[0.8448, 0.8858], q:[0.489, 0.4481], qb:[], phi:[0.1772]] | t^2.13 + t^2.53 + t^2.66 + t^2.81 + t^3.22 + t^3.87 + t^4.25 + t^4.28 + t^4.41 + t^4.53 + t^4.66 + t^4.78 + 2*t^4.94 + t^5.07 + t^5.19 + t^5.31 + 2*t^5.35 + t^5.47 + t^5.62 + t^5.75 - t^6. - t^3.53/y - t^4.59/y - t^5.66/y - t^3.53*y - t^4.59*y - t^5.66*y | detail |