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 |
|---|---|---|---|---|---|---|---|---|---|
| 8237 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1q_1q_2$ + $ M_1^2$ | 1.1535 | 1.291 | 0.8935 | [X:[1.6], M:[1.0], q:[0.4, 0.4], qb:[], phi:[0.2]] | [X:[[0]], M:[[0]], q:[[-1], [1]], qb:[], phi:[[0]]] | 1 | {a: 2307/2000, c: 1291/1000, X1: 8/5, M1: 1, q1: 2/5, q2: 2/5, phi1: 1/5} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1^4$, $ q_1q_2$, $ M_1$, $ \phi_1q_1^2$, $ \phi_1q_2^2$, $ \phi_1q_1^2$, $ \phi_1q_2^2$, $ \phi_1^2q_1q_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$, $ \phi_1^8$, $ \phi_1^4q_1q_2$, $ q_1^2q_2^2$, $ X_1$, $ M_1\phi_1^4$, $ \phi_1^5q_1^2$, $ M_1q_1q_2$, $ \phi_1q_1^3q_2$, $ \phi_1^5q_2^2$, $ \phi_1q_1q_2^3$, $ \phi_1^5q_1^2$, $ \phi_1q_1^3q_2$, $ \phi_1^5q_2^2$, $ \phi_1q_1q_2^3$ | $\phi_1^2q_1^4$, $ \phi_1^6q_1q_2$, $ 2\phi_1^2q_1^2q_2^2$, $ \phi_1^2q_2^4$ | 4 | 2*t^2.4 + 3*t^3. + t^3.6 + 3*t^4.2 + 4*t^4.8 + 6*t^5.4 + 4*t^6. + 6*t^6.6 + 12*t^7.2 + 9*t^7.8 + 13*t^8.4 + t^8.4/y^2 - t^3.6/y - t^4.8/y - (2*t^6.)/y - (3*t^6.6)/y - (2*t^7.2)/y - (2*t^7.8)/y + (3*t^8.4)/y - t^3.6*y - t^4.8*y - 2*t^6.*y - 3*t^6.6*y - 2*t^7.2*y - 2*t^7.8*y + 3*t^8.4*y + t^8.4*y^2 | 2*t^2.4 + t^3. + t^3./g1^2 + g1^2*t^3. + t^3.6 + t^4.2 + t^4.2/g1^2 + g1^2*t^4.2 + 4*t^4.8 + 2*t^5.4 + (2*t^5.4)/g1^2 + 2*g1^2*t^5.4 + 2*t^6. + t^6./g1^4 + g1^4*t^6. + 2*t^6.6 + (2*t^6.6)/g1^2 + 2*g1^2*t^6.6 + 8*t^7.2 + t^7.2/g1^4 + t^7.2/g1^2 + g1^2*t^7.2 + g1^4*t^7.2 + 3*t^7.8 + (3*t^7.8)/g1^2 + 3*g1^2*t^7.8 + 5*t^8.4 + (3*t^8.4)/g1^4 + t^8.4/g1^2 + g1^2*t^8.4 + 3*g1^4*t^8.4 + t^8.4/y^2 - t^3.6/y - t^4.8/y - (2*t^6.)/y - t^6.6/y - t^6.6/(g1^2*y) - (g1^2*t^6.6)/y - (2*t^7.2)/y - t^7.8/(g1^2*y) - (g1^2*t^7.8)/y - t^8.4/y + (2*t^8.4)/(g1^2*y) + (2*g1^2*t^8.4)/y - t^3.6*y - t^4.8*y - 2*t^6.*y - t^6.6*y - (t^6.6*y)/g1^2 - g1^2*t^6.6*y - 2*t^7.2*y - (t^7.8*y)/g1^2 - g1^2*t^7.8*y - t^8.4*y + (2*t^8.4*y)/g1^2 + 2*g1^2*t^8.4*y + t^8.4*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 |
|---|---|---|---|---|---|---|---|---|
| 8494 | $\phi_1^2X_1$ + $ M_1\phi_1q_1q_2$ + $ M_1^2$ + $ M_2\phi_1^2q_1q_2$ | 1.17 | 1.32 | 0.8864 | [X:[1.6], M:[1.0, 0.8], q:[0.4, 0.4], qb:[], phi:[0.2]] | 3*t^2.4 + 3*t^3. + 3*t^4.2 + 7*t^4.8 + 9*t^5.4 + 2*t^6. - t^3.6/y - t^4.8/y - (3*t^6.)/y - t^3.6*y - t^4.8*y - 3*t^6.*y | detail | {a: 117/100, c: 33/25, X1: 8/5, M1: 1, M2: 4/5, q1: 2/5, q2: 2/5, phi1: 1/5} |
| 8496 | $\phi_1^2X_1$ + $ M_1\phi_1q_1q_2$ + $ M_1^2$ + $ \phi_1^3q_1^2$ + $ \phi_1q_2^2X_2$ | 0.7935 | 0.8935 | 0.8881 | [X:[1.6, 1.6], M:[1.0], q:[0.7, 0.1], qb:[], phi:[0.2]] | 3*t^2.4 + t^3. + t^3.6 + 8*t^4.8 + 2*t^5.4 + t^6. - t^3.6/y - t^4.8/y - (2*t^6.)/y - t^3.6*y - t^4.8*y - 2*t^6.*y | detail | {a: 1587/2000, c: 1787/2000, X1: 8/5, X2: 8/5, M1: 1, q1: 7/10, q2: 1/10, phi1: 1/5} |
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 |