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 |
|---|---|---|---|---|---|---|---|---|---|
| 8205 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ \phi_1^5q_1^2$ + $ M_1\phi_1q_1q_2$ | 1.1377 | 1.2587 | 0.9039 | [X:[1.6481], M:[0.8798], q:[0.5601, 0.3841], qb:[], phi:[0.176]] | [X:[[4]], M:[[-10]], q:[[5], [7]], 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_2^2$, $ \phi_1q_1^2$, $ \phi_1^2q_1q_2$, $ \phi_1^3q_2^2$, $ \phi_1^8$, $ \phi_1^3q_1q_2$, $ M_1\phi_1^4$, $ \phi_1^3q_1^2$, $ \phi_1^4q_1q_2$, $ \phi_1^5q_2^2$, $ X_1$, $ M_1^2$, $ M_1q_1q_2$, $ M_1\phi_1q_2^2$, $ q_1^2q_2^2$, $ \phi_1q_1q_2^3$, $ \phi_1^2q_2^4$ | $\phi_1^7q_2^2$ | 0 | t^2.11 + t^2.64 + 2*t^2.83 + 3*t^3.89 + t^4.22 + t^4.42 + t^4.75 + 4*t^4.94 + t^5.28 + t^5.47 + 3*t^5.67 + t^6.33 + t^6.53 + 6*t^6.72 + t^6.86 + 2*t^7.06 + 2*t^7.25 + t^7.39 + t^7.58 + 11*t^7.78 + t^7.92 + t^8.11 + 3*t^8.3 + t^8.45 + 4*t^8.5 - 2*t^8.64 + 3*t^8.83 + t^8.97 + t^8.11/y^2 - t^8.64/y^2 - t^3.53/y - t^4.58/y - t^5.64/y - t^6.17/y - (2*t^6.36)/y - t^6.7/y - t^7.22/y - (3*t^7.42)/y + (2*t^7.94)/y - t^8.28/y - t^8.47/y + t^8.67/y - (2*t^8.81)/y - t^3.53*y - t^4.58*y - t^5.64*y - t^6.17*y - 2*t^6.36*y - t^6.7*y - t^7.22*y - 3*t^7.42*y + 2*t^7.94*y - t^8.28*y - t^8.47*y + t^8.67*y - 2*t^8.81*y + t^8.11*y^2 - t^8.64*y^2 | t^2.11/g1^8 + t^2.64/g1^10 + 2*g1^12*t^2.83 + 3*g1^8*t^3.89 + t^4.22/g1^16 + g1^6*t^4.42 + t^4.75/g1^18 + 4*g1^4*t^4.94 + t^5.28/g1^20 + g1^2*t^5.47 + 3*g1^24*t^5.67 + t^6.33/g1^24 + t^6.53/g1^2 + 6*g1^20*t^6.72 + t^6.86/g1^26 + (2*t^7.06)/g1^4 + 2*g1^18*t^7.25 + t^7.39/g1^28 + t^7.58/g1^6 + 11*g1^16*t^7.78 + t^7.92/g1^30 + t^8.11/g1^8 + 3*g1^14*t^8.3 + t^8.45/g1^32 + 4*g1^36*t^8.5 - (2*t^8.64)/g1^10 + 3*g1^12*t^8.83 + t^8.97/g1^34 + t^8.11/(g1^8*y^2) - t^8.64/(g1^10*y^2) - t^3.53/(g1^2*y) - t^4.58/(g1^6*y) - t^5.64/(g1^10*y) - t^6.17/(g1^12*y) - (2*g1^10*t^6.36)/y - t^6.7/(g1^14*y) - t^7.22/(g1^16*y) - (3*g1^6*t^7.42)/y + (2*g1^4*t^7.94)/y - t^8.28/(g1^20*y) - (g1^2*t^8.47)/y + (g1^24*t^8.67)/y - (2*t^8.81)/(g1^22*y) - (t^3.53*y)/g1^2 - (t^4.58*y)/g1^6 - (t^5.64*y)/g1^10 - (t^6.17*y)/g1^12 - 2*g1^10*t^6.36*y - (t^6.7*y)/g1^14 - (t^7.22*y)/g1^16 - 3*g1^6*t^7.42*y + 2*g1^4*t^7.94*y - (t^8.28*y)/g1^20 - g1^2*t^8.47*y + g1^24*t^8.67*y - (2*t^8.81*y)/g1^22 + (t^8.11*y^2)/g1^8 - (t^8.64*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 |
|---|---|---|---|---|---|---|---|---|
| 8394 | $\phi_1^2X_1$ + $ \phi_1^5q_1^2$ + $ M_1\phi_1q_1q_2$ + $ M_1\phi_1^4$ + $ q_1q_2X_2$ + $ \phi_1q_2^2X_3$ | 1.0031 | 1.1142 | 0.9003 | [X:[1.5556, 1.3333, 1.3333], M:[1.1111], q:[0.4444, 0.2222], qb:[], phi:[0.2222]] | t^2.67 + 4*t^3.33 + 3*t^4. + 2*t^4.67 + t^6. - t^3.67/y - t^5./y - t^3.67*y - t^5.*y | detail | {a: 325/324, c: 361/324, X1: 14/9, X2: 4/3, X3: 4/3, M1: 10/9, q1: 4/9, q2: 2/9, phi1: 2/9} |
| 8402 | $\phi_1^2X_1$ + $ \phi_1^5q_1^2$ + $ M_1\phi_1q_1q_2$ + $ M_2\phi_1^4$ | 1.1173 | 1.2207 | 0.9153 | [X:[1.646], M:[0.885, 1.292], q:[0.5575, 0.3805], qb:[], phi:[0.177]] | t^2.65 + 2*t^2.81 + 4*t^3.88 + t^4.41 + 2*t^4.94 + t^5.31 + t^5.47 + 3*t^5.63 - 3*t^6. - t^3.53/y - t^4.59/y - t^3.53*y - t^4.59*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 |
|---|---|---|---|---|---|---|---|---|---|
| 8185 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ \phi_1^5q_1^2$ | 1.128 | 1.2465 | 0.9049 | [X:[1.6379], M:[], q:[0.5474, 0.3663], qb:[], phi:[0.1811]] | t^2.17 + 2*t^2.74 + t^3.28 + 3*t^3.83 + t^4.35 + t^4.37 + 4*t^4.91 + 3*t^5.48 - t^3.54/y - t^4.63/y - t^5.72/y - t^3.54*y - t^4.63*y - t^5.72*y | detail |