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 |
|---|---|---|---|---|---|---|---|---|---|
| 8196 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ M_1\phi_1q_2^2$ | 1.168 | 1.293 | 0.9033 | [X:[1.6419], M:[0.8647], q:[0.4476, 0.4781], qb:[], phi:[0.179]] | [X:[[4]], M:[[-32]], q:[[-5], [17]], qb:[], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1^4$, $ M_1$, $ q_1q_2$, $ \phi_1q_1^2$, $ \phi_1q_1q_2$, $ \phi_1^2q_1q_2$, $ \phi_1^8$, $ \phi_1^3q_1^2$, $ \phi_1^3q_1q_2$, $ \phi_1^3q_2^2$, $ M_1\phi_1^4$, $ \phi_1^4q_1q_2$, $ X_1$, $ M_1^2$, $ \phi_1^5q_1^2$, $ M_1q_1q_2$, $ \phi_1^5q_1q_2$, $ q_1^2q_2^2$, $ M_1\phi_1q_1^2$ | $\phi_1^6q_1q_2$ | 0 | t^2.15 + t^2.59 + t^2.78 + t^3.22 + t^3.31 + t^3.85 + 2*t^4.3 + t^4.39 + t^4.48 + t^4.74 + 2*t^4.93 + t^5.19 + 2*t^5.37 + t^5.46 + t^5.55 + t^5.82 + 3*t^6.45 + t^6.54 + 2*t^6.63 + 2*t^6.89 + 4*t^7.07 + t^7.17 + t^7.26 + t^7.34 + 3*t^7.52 + 2*t^7.61 + 3*t^7.7 + t^7.78 + t^7.79 + 2*t^7.97 + 3*t^8.15 + t^8.24 + t^8.33 + t^8.41 + 3*t^8.59 + 2*t^8.78 + t^8.87 + t^8.96 + t^8.15/y^2 - t^8.69/y^2 - t^3.54/y - t^4.61/y - t^5.69/y - t^6.13/y - t^6.31/y - (2*t^6.76)/y - t^6.85/y - t^7.21/y - t^7.39/y + t^7.74/y - (2*t^7.83)/y - t^8.28/y + (2*t^8.37)/y - t^8.73/y + t^8.82/y - (2*t^8.91)/y - t^3.54*y - t^4.61*y - t^5.69*y - t^6.13*y - t^6.31*y - 2*t^6.76*y - t^6.85*y - t^7.21*y - t^7.39*y + t^7.74*y - 2*t^7.83*y - t^8.28*y + 2*t^8.37*y - t^8.73*y + t^8.82*y - 2*t^8.91*y + t^8.15*y^2 - t^8.69*y^2 | t^2.15/g1^8 + t^2.59/g1^32 + g1^12*t^2.78 + t^3.22/g1^12 + g1^10*t^3.31 + g1^8*t^3.85 + (2*t^4.3)/g1^16 + g1^6*t^4.39 + g1^28*t^4.48 + t^4.74/g1^40 + 2*g1^4*t^4.93 + t^5.19/g1^64 + (2*t^5.37)/g1^20 + g1^2*t^5.46 + g1^24*t^5.55 + t^5.82/g1^44 + (3*t^6.45)/g1^24 + t^6.54/g1^2 + 2*g1^20*t^6.63 + (2*t^6.89)/g1^48 + (4*t^7.07)/g1^4 + g1^18*t^7.17 + g1^40*t^7.26 + t^7.34/g1^72 + (3*t^7.52)/g1^28 + (2*t^7.61)/g1^6 + 3*g1^16*t^7.7 + t^7.78/g1^96 + g1^38*t^7.79 + (2*t^7.97)/g1^52 + (3*t^8.15)/g1^8 + g1^14*t^8.24 + g1^36*t^8.33 + t^8.41/g1^76 + (3*t^8.59)/g1^32 + 2*g1^12*t^8.78 + g1^34*t^8.87 + g1^56*t^8.96 + t^8.15/(g1^8*y^2) - t^8.69/(g1^10*y^2) - t^3.54/(g1^2*y) - t^4.61/(g1^6*y) - t^5.69/(g1^10*y) - t^6.13/(g1^34*y) - (g1^10*t^6.31)/y - (2*t^6.76)/(g1^14*y) - (g1^8*t^6.85)/y - t^7.21/(g1^38*y) - (g1^6*t^7.39)/y + t^7.74/(g1^40*y) - (2*t^7.83)/(g1^18*y) - t^8.28/(g1^42*y) + (2*t^8.37)/(g1^20*y) - t^8.73/(g1^66*y) + t^8.82/(g1^44*y) - (2*t^8.91)/(g1^22*y) - (t^3.54*y)/g1^2 - (t^4.61*y)/g1^6 - (t^5.69*y)/g1^10 - (t^6.13*y)/g1^34 - g1^10*t^6.31*y - (2*t^6.76*y)/g1^14 - g1^8*t^6.85*y - (t^7.21*y)/g1^38 - g1^6*t^7.39*y + (t^7.74*y)/g1^40 - (2*t^7.83*y)/g1^18 - (t^8.28*y)/g1^42 + (2*t^8.37*y)/g1^20 - (t^8.73*y)/g1^66 + (t^8.82*y)/g1^44 - (2*t^8.91*y)/g1^22 + (t^8.15*y^2)/g1^8 - (t^8.69*y^2)/g1^10 |
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 |
|---|---|---|---|---|---|---|---|---|
| 8363 | $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ M_1\phi_1q_2^2$ + $ M_1\phi_1^4$ | 1.0965 | 1.2215 | 0.8977 | [X:[1.6], M:[1.2], q:[0.5, 0.3], qb:[], phi:[0.2]] | 2*t^2.4 + t^3. + 4*t^3.6 + t^4.2 + 5*t^4.8 + t^5.4 + 6*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: 2193/2000, c: 2443/2000, X1: 8/5, M1: 6/5, q1: 1/2, q2: 3/10, phi1: 1/5} |
| 8364 | $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ M_1\phi_1q_2^2$ + $ M_1^2$ | 1.1559 | 1.2809 | 0.9024 | [X:[1.625], M:[1.0], q:[0.4688, 0.4062], qb:[], phi:[0.1875]] | t^2.25 + t^2.62 + t^3. + t^3.19 + t^3.38 + t^3.75 + t^4.12 + t^4.31 + 2*t^4.5 + 2*t^4.88 + 2*t^5.25 + t^5.44 + 2*t^5.62 + 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 | {a: 18939/16384, c: 20987/16384, X1: 13/8, M1: 1, q1: 15/32, q2: 13/32, phi1: 3/16} |
| 8374 | $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ M_1\phi_1q_2^2$ + $ M_2\phi_1^4$ | 1.1479 | 1.2552 | 0.9145 | [X:[1.6413], M:[0.8696, 1.2826], q:[0.4484, 0.4755], qb:[], phi:[0.1793]] | t^2.61 + t^2.77 + t^3.23 + t^3.31 + 2*t^3.85 + t^4.3 + t^4.39 + t^4.47 + t^4.92 + t^5.22 + t^5.38 + t^5.54 + t^5.84 - t^6. - t^3.54/y - t^4.61/y - t^3.54*y - t^4.61*y | detail | |
| 8379 | $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ M_1\phi_1q_2^2$ + $ M_2q_1q_2$ | 1.1616 | 1.2825 | 0.9057 | [X:[1.645], M:[0.8398, 1.0649], q:[0.4437, 0.4913], qb:[], phi:[0.1775]] | t^2.13 + t^2.52 + 2*t^3.19 + t^3.34 + t^3.87 + 2*t^4.26 + t^4.4 + t^4.55 + t^4.65 + t^4.94 + t^5.04 + 2*t^5.32 + t^5.47 + 2*t^5.71 - t^6. - t^3.53/y - t^4.6/y - t^5.66/y - t^3.53*y - t^4.6*y - t^5.66*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 |
|---|---|---|---|---|---|---|---|---|---|
| 8184 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ | 1.1587 | 1.2795 | 0.9056 | [X:[1.6334], M:[], q:[0.4582, 0.4421], qb:[], phi:[0.1833]] | t^2.2 + t^2.7 + t^3.2 + t^3.25 + t^3.3 + t^3.8 + t^4.3 + t^4.35 + 2*t^4.4 + 2*t^4.9 + 2*t^5.4 + t^5.45 + t^5.5 + t^5.9 - t^3.55/y - t^4.65/y - t^5.75/y - t^3.55*y - t^4.65*y - t^5.75*y | detail |