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 |
|---|---|---|---|---|---|---|---|---|---|
| 8658 | 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_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]] | [X:[[0], [0]], M:[[2], [0], [-2]], q:[[-1], [1]], qb:[], phi:[[0]]] | 1 | {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} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ \phi_1q_2^2$, $ \phi_1^4$, $ M_1$, $ M_2$, $ \phi_1^2q_1q_2$, $ \phi_1^3q_1q_2$, $ X_2$, $ \phi_1^3q_1^2$, $ M_3^2$, $ M_3\phi_1q_2^2$, $ X_1$, $ M_3\phi_1^4$, $ \phi_1^2q_2^4$, $ \phi_1^5q_2^2$, $ M_1M_3$, $ \phi_1^8$, $ M_2M_3$, $ M_3\phi_1^2q_1q_2$, $ 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^2.1 + 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^6.1 + t^6.19 + t^6.29 + t^6.48 + 3*t^6.57 + 4*t^6.67 + 2*t^6.76 + t^6.86 + 2*t^7.24 + 5*t^7.33 + 2*t^7.43 + 2*t^7.52 + t^7.71 + t^7.81 + 2*t^7.9 + 5*t^8. + t^8.1 + 2*t^8.19 + t^8.29 + 2*t^8.38 + 2*t^8.48 + 4*t^8.67 + t^8.76 + 2*t^8.86 + t^8.95 + t^8.67/y^2 - t^8.76/y^2 - t^3.67/y - t^5./y - t^5.76/y - t^6.24/y - t^6.33/y - t^6.9/y - t^7./y - t^7.1/y - t^7.67/y + t^7.76/y - t^7.86/y - t^8.33/y + t^8.43/y + (3*t^8.9)/y - t^3.67*y - t^5.*y - t^5.76*y - t^6.24*y - t^6.33*y - t^6.9*y - t^7.*y - t^7.1*y - t^7.67*y + t^7.76*y - t^7.86*y - t^8.33*y + t^8.43*y + 3*t^8.9*y + t^8.67*y^2 - t^8.76*y^2 | t^2.1/g1^2 + g1^2*t^2.57 + t^2.67 + g1^2*t^3.24 + 2*t^3.33 + 2*t^4. + t^4.1/g1^2 + t^4.19/g1^4 + 2*t^4.67 + t^4.76/g1^2 + g1^4*t^5.14 + g1^2*t^5.24 + 2*t^5.33 + (2*t^5.43)/g1^2 + g1^4*t^5.81 + 2*g1^2*t^5.9 + t^6.1/g1^2 + t^6.19/g1^4 + t^6.29/g1^6 + g1^4*t^6.48 + 3*g1^2*t^6.57 + 4*t^6.67 + (2*t^6.76)/g1^2 + t^6.86/g1^4 + 2*g1^2*t^7.24 + 5*t^7.33 + (2*t^7.43)/g1^2 + (2*t^7.52)/g1^4 + g1^6*t^7.71 + g1^4*t^7.81 + 2*g1^2*t^7.9 + 5*t^8. + t^8.1/g1^2 + (2*t^8.19)/g1^4 + t^8.29/g1^6 + t^8.38/g1^8 + g1^6*t^8.38 + 2*g1^4*t^8.48 + 4*t^8.67 + t^8.76/g1^2 + (2*t^8.86)/g1^4 + t^8.95/g1^6 + t^8.67/y^2 - t^8.76/(g1^2*y^2) - t^3.67/y - t^5./y - t^5.76/(g1^2*y) - (g1^2*t^6.24)/y - t^6.33/y - (g1^2*t^6.9)/y - t^7./y - t^7.1/(g1^2*y) - t^7.67/y + t^7.76/(g1^2*y) - t^7.86/(g1^4*y) - t^8.33/y + t^8.43/(g1^2*y) + (3*g1^2*t^8.9)/y - t^3.67*y - t^5.*y - (t^5.76*y)/g1^2 - g1^2*t^6.24*y - t^6.33*y - g1^2*t^6.9*y - t^7.*y - (t^7.1*y)/g1^2 - t^7.67*y + (t^7.76*y)/g1^2 - (t^7.86*y)/g1^4 - t^8.33*y + (t^8.43*y)/g1^2 + 3*g1^2*t^8.9*y + t^8.67*y^2 - (t^8.76*y^2)/g1^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 8830 | $\phi_1^2X_1$ + $ 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$ + $ M_3^2$ + $ \phi_1q_2^2X_3$ | 0.9552 | 1.0733 | 0.89 | [X:[1.5556, 1.3333, 1.4444], M:[0.7778, 1.1111, 1.0], q:[0.5, 0.1667], qb:[], phi:[0.2222]] | t^2.33 + t^2.67 + t^3. + 2*t^3.33 + 2*t^4. + t^4.33 + 2*t^4.67 + t^5. + 2*t^5.33 + 2*t^5.67 + t^6. - t^3.67/y - t^5./y - t^6./y - t^3.67*y - t^5.*y - t^6.*y | detail | {a: 619/648, c: 1391/1296, X1: 14/9, X2: 4/3, X3: 13/9, M1: 7/9, M2: 10/9, M3: 1, q1: 1/2, q2: 1/6, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | 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^3.67/y - t^5./y - t^3.67*y - t^5.*y | detail |