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 |
|---|---|---|---|---|---|---|---|---|---|
| 8470 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1q_1q_2$ + $ M_1\phi_1^4$ + $ M_2\phi_1q_1^2$ | 1.1391 | 1.267 | 0.8991 | [X:[1.6], M:[1.2, 0.9546], q:[0.4227, 0.3773], qb:[], phi:[0.2]] | [X:[[0]], M:[[0], [2]], q:[[-1], [1]], qb:[], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1^4$, $ M_2$, $ \phi_1q_2^2$, $ \phi_1q_1q_2$, $ M_1$, $ \phi_1^2q_1q_2$, $ \phi_1^3q_2^2$, $ \phi_1^3q_1q_2$, $ \phi_1^3q_1^2$, $ \phi_1^8$, $ X_1$, $ M_2\phi_1^4$, $ \phi_1^5q_2^2$, $ \phi_1^5q_1q_2$, $ M_2^2$, $ M_2\phi_1q_2^2$, $ \phi_1^2q_2^4$, $ M_2\phi_1q_1q_2$, $ \phi_1^2q_1q_2^3$ | $\phi_1^6q_1q_2$, $ \phi_1^2q_1^2q_2^2$ | 1 | t^2.4 + 2*t^2.86 + t^3. + 2*t^3.6 + t^4.06 + t^4.2 + t^4.34 + 2*t^4.8 + 2*t^5.26 + t^5.4 + 3*t^5.73 + t^5.86 + t^6. - t^6.14 + 4*t^6.46 + 2*t^6.6 + 2*t^6.93 + 2*t^7.06 + 6*t^7.2 + 4*t^7.66 + 2*t^7.8 + 4*t^8.13 + 2*t^8.26 + 4*t^8.4 + 4*t^8.59 + t^8.67 + t^8.73 + t^8.86 + t^8.4/y^2 - t^3.6/y - t^4.8/y - t^6./y - (2*t^6.46)/y - t^6.6/y - (2*t^7.2)/y - (2*t^7.66)/y - t^7.8/y + (2*t^8.26)/y - t^8.4/y + t^8.73/y - t^3.6*y - t^4.8*y - t^6.*y - 2*t^6.46*y - t^6.6*y - 2*t^7.2*y - 2*t^7.66*y - t^7.8*y + 2*t^8.26*y - t^8.4*y + t^8.73*y + t^8.4*y^2 | t^2.4 + 2*g1^2*t^2.86 + t^3. + 2*t^3.6 + g1^2*t^4.06 + t^4.2 + t^4.34/g1^2 + 2*t^4.8 + 2*g1^2*t^5.26 + t^5.4 + 3*g1^4*t^5.73 + g1^2*t^5.86 + t^6. - t^6.14/g1^2 + 4*g1^2*t^6.46 + 2*t^6.6 + 2*g1^4*t^6.93 + 2*g1^2*t^7.06 + 6*t^7.2 + 4*g1^2*t^7.66 + 2*t^7.8 + 4*g1^4*t^8.13 + 2*g1^2*t^8.26 + 4*t^8.4 + 4*g1^6*t^8.59 + t^8.67/g1^4 + g1^4*t^8.73 + g1^2*t^8.86 + t^8.4/y^2 - t^3.6/y - t^4.8/y - t^6./y - (2*g1^2*t^6.46)/y - t^6.6/y - (2*t^7.2)/y - (2*g1^2*t^7.66)/y - t^7.8/y + (2*g1^2*t^8.26)/y - t^8.4/y + (g1^4*t^8.73)/y - t^3.6*y - t^4.8*y - t^6.*y - 2*g1^2*t^6.46*y - t^6.6*y - 2*t^7.2*y - 2*g1^2*t^7.66*y - t^7.8*y + 2*g1^2*t^8.26*y - t^8.4*y + g1^4*t^8.73*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 |
|---|---|---|---|---|---|---|---|---|
| 8632 | $\phi_1^2X_1$ + $ M_1q_1q_2$ + $ M_1\phi_1^4$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1^4$ | 1.1226 | 1.238 | 0.9068 | [X:[1.6], M:[1.2, 0.9546, 1.2], q:[0.4227, 0.3773], qb:[], phi:[0.2]] | 2*t^2.86 + t^3. + 3*t^3.6 + t^4.06 + t^4.2 + t^4.34 + t^4.8 + 3*t^5.73 + t^5.86 - t^6. - t^3.6/y - t^4.8/y - t^3.6*y - t^4.8*y | detail |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 8223 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1q_1q_2$ + $ M_1\phi_1^4$ | 1.137 | 1.262 | 0.901 | [X:[1.6], M:[1.2], q:[0.4, 0.4], qb:[], phi:[0.2]] | t^2.4 + 3*t^3. + 2*t^3.6 + 3*t^4.2 + 2*t^4.8 + 3*t^5.4 + 4*t^6. - t^3.6/y - t^4.8/y - t^6./y - t^3.6*y - t^4.8*y - t^6.*y | detail | {a: 1137/1000, c: 631/500, X1: 8/5, M1: 6/5, q1: 2/5, q2: 2/5, phi1: 1/5} |