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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | [X:[[0, 2]], M:[[0, -5]], q:[[-1, 6], [1, 0]], qb:[], phi:[[0, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1^4$, $ M_1$, $ q_1q_2$, $ \phi_1q_2^2$, $ \phi_1q_1^2$, $ \phi_1^2q_1q_2$, $ \phi_1^3q_2^2$, $ \phi_1^3q_1q_2$, $ \phi_1^3q_1^2$, $ \phi_1^8$, $ M_1\phi_1^4$, $ \phi_1^4q_1q_2$, $ X_1$, $ \phi_1^5q_2^2$, $ M_1q_1q_2$, $ \phi_1^5q_1^2$, $ q_1^2q_2^2$, $ M_1^2$ | $\phi_1^6q_1q_2$, $ \phi_1q_1^3q_2$, $ \phi_1q_1q_2^3$ | 1 | 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. + 4*t^6.54 + 2*t^6.55 + 8*t^7.09 + 8*t^7.63 + 2*t^7.64 + 7*t^8.18 + t^8.19 + 2*t^8.72 + 6*t^8.73 + t^8.18/y^2 - t^8.73/y^2 - t^3.55/y - t^4.64/y - t^5.73/y - (2*t^6.27)/y - (3*t^6.82)/y - t^7.36/y - t^7.37/y - t^7.91/y + (2*t^8.45)/y - t^8.46/y - t^3.55*y - t^4.64*y - t^5.73*y - 2*t^6.27*y - 3*t^6.82*y - t^7.36*y - t^7.37*y - t^7.91*y + 2*t^8.45*y - t^8.46*y + t^8.18*y^2 - t^8.73*y^2 | t^2.18/g2^4 + t^2.73/g2^5 + g2^6*t^2.73 + (g1^2*t^3.27)/g2 + (g2^11*t^3.27)/g1^2 + g2^4*t^3.82 + (g1^2*t^4.36)/g2^3 + g2^3*t^4.36 + (g2^9*t^4.36)/g1^2 + t^4.37/g2^8 + t^4.91/g2^9 + 2*g2^2*t^4.91 + (g1^2*t^5.45)/g2^5 + g2*t^5.45 + (g2^7*t^5.45)/g1^2 + g2^12*t^5.45 + t^5.46/g2^10 - t^6. + g1^2*g2^5*t^6. + (g2^17*t^6.)/g1^2 + (g1^4*t^6.54)/g2^2 + 2*g2^10*t^6.54 + (g2^22*t^6.54)/g1^4 + t^6.55/g2^12 + t^6.55/g2 + t^7.09/g2^13 + (2*t^7.09)/g2^2 + 2*g1^2*g2^3*t^7.09 + g2^9*t^7.09 + (2*g2^15*t^7.09)/g1^2 + (g1^4*t^7.63)/g2^4 + g1^2*g2^2*t^7.63 + 4*g2^8*t^7.63 + (g2^14*t^7.63)/g1^2 + (g2^20*t^7.63)/g1^4 + t^7.64/g2^14 + t^7.64/g2^3 + t^8.18/g2^4 + 2*g1^2*g2*t^8.18 + g2^7*t^8.18 + (2*g2^13*t^8.18)/g1^2 + g2^18*t^8.18 + t^8.19/g2^15 + g1^2*g2^11*t^8.72 + (g2^23*t^8.72)/g1^2 + g1^2*t^8.73 + t^8.73/g2^16 + (2*g1^4*t^8.73)/g2^6 - (2*t^8.73)/g2^5 + g2^6*t^8.73 + (g2^12*t^8.73)/g1^2 + (2*g2^18*t^8.73)/g1^4 + t^8.18/(g2^4*y^2) - t^8.73/(g2^5*y^2) - t^3.55/(g2*y) - t^4.64/(g2^3*y) - t^5.73/(g2^5*y) - t^6.27/(g2^6*y) - (g2^5*t^6.27)/y - t^6.82/(g2^7*y) - (g1^2*t^6.82)/(g2^2*y) - (g2^10*t^6.82)/(g1^2*y) - (g2^3*t^7.36)/y - t^7.37/(g2^8*y) - (g1^2*t^7.91)/(g2^4*y) + (g2^2*t^7.91)/y - (g2^8*t^7.91)/(g1^2*y) + (g1^2*t^8.45)/(g2^5*y) + (g2^7*t^8.45)/(g1^2*y) - t^8.46/(g2^10*y) - (t^3.55*y)/g2 - (t^4.64*y)/g2^3 - (t^5.73*y)/g2^5 - (t^6.27*y)/g2^6 - g2^5*t^6.27*y - (t^6.82*y)/g2^7 - (g1^2*t^6.82*y)/g2^2 - (g2^10*t^6.82*y)/g1^2 - g2^3*t^7.36*y - (t^7.37*y)/g2^8 - (g1^2*t^7.91*y)/g2^4 + g2^2*t^7.91*y - (g2^8*t^7.91*y)/g1^2 + (g1^2*t^8.45*y)/g2^5 + (g2^7*t^8.45*y)/g1^2 - (t^8.46*y)/g2^10 + (t^8.18*y^2)/g2^4 - (t^8.73*y^2)/g2^5 |
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 |
|---|---|---|---|---|---|---|---|---|
| 8232 | $\phi_1^2X_1$ + $ 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]] | 3*t^2.67 + 2*t^3.33 + 4*t^4. + t^4.67 + 6*t^5.33 + 2*t^6. - t^3.67/y - t^5./y - t^3.67*y - t^5.*y | detail | {a: 1399/1296, c: 785/648, X1: 14/9, X2: 4/3, M1: 10/9, q1: 1/3, q2: 1/3, phi1: 2/9} |
| 8237 | $\phi_1^2X_1$ + $ 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]] | 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. - 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: 2307/2000, c: 1291/1000, X1: 8/5, M1: 1, q1: 2/5, q2: 2/5, phi1: 1/5} |
| 8238 | $\phi_1^2X_1$ + $ M_1\phi_1q_1q_2$ + $ M_2\phi_1^2q_1q_2$ | 1.1866 | 1.3281 | 0.8935 | [X:[1.6391], M:[0.9023, 0.7219], q:[0.4586, 0.4586], qb:[], phi:[0.1805]] | 2*t^2.17 + t^2.71 + t^2.75 + 2*t^3.29 + 3*t^4.33 + 3*t^4.38 + 2*t^4.87 + 3*t^4.92 + t^5.41 + 5*t^5.46 + t^5.5 - 2*t^6. - t^3.54/y - t^4.62/y - (2*t^5.71)/y - t^3.54*y - t^4.62*y - 2*t^5.71*y | detail | |
| 8247 | $\phi_1^2X_1$ + $ M_1\phi_1q_1q_2$ + $ \phi_1^3q_1^2$ + $ \phi_1^4X_2$ | 0.9566 | 1.0277 | 0.9309 | [X:[1.7151, 1.4302], M:[0.7123], q:[0.7863, 0.3589], qb:[], phi:[0.1425]] | t^2.14 + t^2.58 + 2*t^3.44 + t^4.27 + 2*t^4.29 + t^4.72 + t^5.15 + t^5.16 + t^5.57 - 2*t^6. - t^3.43/y - t^4.28/y - t^5.56/y - t^3.43*y - t^4.28*y - t^5.56*y | detail | |
| 8230 | $\phi_1^2X_1$ + $ M_1\phi_1q_1q_2$ + $ \phi_1^8$ + $ q_1q_2X_2$ | 0.9624 | 1.103 | 0.8725 | [X:[1.5, 1.5], M:[1.25], q:[0.25, 0.25], qb:[], phi:[0.25]] | 2*t^2.25 + 2*t^3. + 4*t^3.75 + 5*t^4.5 + 4*t^5.25 + 6*t^6. - t^3.75/y - t^5.25/y - (2*t^6.)/y - t^3.75*y - t^5.25*y - 2*t^6.*y | detail | {a: 1971/2048, c: 2259/2048, X1: 3/2, X2: 3/2, M1: 5/4, q1: 1/4, q2: 1/4, phi1: 1/4} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 8183 | Sp2adj1nf1 | $\phi_1^2X_1$ | 1.1597 | 1.2847 | 0.9027 | [X:[1.6249], M:[], q:[0.4374, 0.4374], qb:[], phi:[0.1875]] | t^2.25 + t^2.62 + 3*t^3.19 + t^3.75 + 3*t^4.31 + t^4.5 + 2*t^4.87 + t^5.25 + 3*t^5.44 + 3*t^5.81 - 3*t^6. - t^3.56/y - t^4.69/y - t^5.81/y - t^3.56*y - t^4.69*y - t^5.81*y | detail |