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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | [X:[[4]], M:[], q:[[-5], [17]], qb:[], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1^4$, $ q_1q_2$, $ \phi_1q_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_1^2$, $ \phi_1^2q_1q_2$, $ \phi_1^3q_2^2$, $ \phi_1^3q_1q_2$, $ \phi_1^8$, $ \phi_1^3q_1^2$, $ \phi_1^4q_1q_2$, $ X_1$, $ \phi_1^5q_2^2$, $ q_1^2q_2^2$, $ \phi_1^5q_1q_2$, $ \phi_1^5q_1^2$, $ \phi_1q_1q_2^3$ | $\phi_1^6q_1q_2$ | 0 | 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^6.05 + t^6.41 + t^6.45 + 3*t^6.5 + t^6.55 + 2*t^6.6 + 2*t^7. + t^7.05 + 3*t^7.1 - t^7.15 + t^7.5 + 2*t^7.55 + 5*t^7.6 + 2*t^7.65 + t^7.7 + 3*t^8.1 + t^8.15 + 2*t^8.2 - t^8.25 + 3*t^8.6 + 2*t^8.65 + 3*t^8.7 + 3*t^8.8 + t^8.2/y^2 - t^8.75/y^2 - t^3.55/y - t^4.65/y - t^5.75/y - t^6.25/y - t^6.75/y - t^6.8/y - (2*t^6.85)/y - t^7.35/y - t^7.85/y - (2*t^7.95)/y + t^8.4/y + t^8.5/y + t^8.9/y - t^8.95/y - t^3.55*y - t^4.65*y - t^5.75*y - t^6.25*y - t^6.75*y - t^6.8*y - 2*t^6.85*y - t^7.35*y - t^7.85*y - 2*t^7.95*y + t^8.4*y + t^8.5*y + t^8.9*y - t^8.95*y + t^8.2*y^2 - t^8.75*y^2 | t^2.2/g1^8 + g1^12*t^2.7 + g1^32*t^3.2 + g1^10*t^3.25 + t^3.3/g1^12 + g1^8*t^3.8 + g1^28*t^4.3 + g1^6*t^4.35 + (2*t^4.4)/g1^16 + 2*g1^4*t^4.9 + 2*g1^24*t^5.4 + g1^2*t^5.45 + t^5.5/g1^20 + g1^44*t^5.9 - t^6.05/g1^22 + g1^64*t^6.41 + g1^42*t^6.45 + 3*g1^20*t^6.5 + t^6.55/g1^2 + (2*t^6.6)/g1^24 + 2*g1^40*t^7. + g1^18*t^7.05 + (3*t^7.1)/g1^4 - t^7.15/g1^26 + g1^60*t^7.5 + 2*g1^38*t^7.55 + 5*g1^16*t^7.6 + (2*t^7.65)/g1^6 + t^7.7/g1^28 + 3*g1^36*t^8.1 + g1^14*t^8.15 + (2*t^8.2)/g1^8 - t^8.25/g1^30 + 3*g1^56*t^8.6 + 2*g1^34*t^8.65 + 3*g1^12*t^8.7 + (3*t^8.8)/g1^32 + t^8.2/(g1^8*y^2) - t^8.75/(g1^10*y^2) - t^3.55/(g1^2*y) - t^4.65/(g1^6*y) - t^5.75/(g1^10*y) - (g1^10*t^6.25)/y - (g1^30*t^6.75)/y - (g1^8*t^6.8)/y - (2*t^6.85)/(g1^14*y) - (g1^6*t^7.35)/y - (g1^26*t^7.85)/y - (2*t^7.95)/(g1^18*y) + (g1^24*t^8.4)/y + t^8.5/(g1^20*y) + (g1^44*t^8.9)/y - (g1^22*t^8.95)/y - (t^3.55*y)/g1^2 - (t^4.65*y)/g1^6 - (t^5.75*y)/g1^10 - g1^10*t^6.25*y - g1^30*t^6.75*y - g1^8*t^6.8*y - (2*t^6.85*y)/g1^14 - g1^6*t^7.35*y - g1^26*t^7.85*y - (2*t^7.95*y)/g1^18 + g1^24*t^8.4*y + (t^8.5*y)/g1^20 + g1^44*t^8.9*y - g1^22*t^8.95*y + (t^8.2*y^2)/g1^8 - (t^8.75*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 |
|---|---|---|---|---|---|---|---|---|
| 8197 | $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ M_1\phi_1q_1q_2$ | 1.1667 | 1.2917 | 0.9032 | [X:[1.6363], M:[0.9092], q:[0.4546, 0.4544], qb:[], phi:[0.1818]] | t^2.18 + 2*t^2.73 + 2*t^3.27 + t^3.82 + 4*t^4.36 + 3*t^4.91 + 3*t^5.45 + 2*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 | |
| 8199 | $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ M_1\phi_1q_1^2$ | 1.1682 | 1.2974 | 0.9004 | [X:[1.6302], M:[0.8905], q:[0.4623, 0.4283], qb:[], phi:[0.1849]] | t^2.22 + 2*t^2.67 + t^3.12 + t^3.23 + t^3.78 + t^4.23 + t^4.34 + 2*t^4.44 + 3*t^4.89 + 4*t^5.34 + t^5.45 + 2*t^5.8 + t^5.9 - t^6. - t^3.55/y - t^4.66/y - t^5.77/y - t^3.55*y - t^4.66*y - t^5.77*y | detail | |
| 8196 | $\phi_1^2X_1$ + $ \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]] | 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 - t^3.54/y - t^4.61/y - t^5.69/y - t^3.54*y - t^4.61*y - t^5.69*y | detail | |
| 8201 | $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ M_1\phi_1^2q_1q_2$ | 1.1784 | 1.3155 | 0.8958 | [X:[1.6343], M:[0.7314], q:[0.4571, 0.4458], qb:[], phi:[0.1828]] | 2*t^2.19 + t^2.71 + t^3.22 + t^3.26 + t^3.29 + t^4.32 + t^4.35 + 4*t^4.39 + 3*t^4.9 + 3*t^5.42 + 2*t^5.45 + 2*t^5.49 + t^5.93 - t^6. - t^3.55/y - t^4.65/y - (2*t^5.74)/y - t^3.55*y - t^4.65*y - 2*t^5.74*y | detail | |
| 8202 | $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ M_1\phi_1^4$ | 1.1391 | 1.2437 | 0.9158 | [X:[1.6325], M:[1.2651], q:[0.4593, 0.4383], qb:[], phi:[0.1837]] | t^2.69 + t^3.18 + t^3.24 + t^3.31 + 2*t^3.8 + t^4.28 + t^4.35 + t^4.41 + t^4.9 + t^5.39 + t^5.87 - t^6. - t^3.55/y - t^4.65/y - t^3.55*y - t^4.65*y | detail | |
| 8200 | $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ \phi_1q_2^2$ + $ \phi_1^4X_2$ | 0.7632 | 0.7944 | 0.9607 | [X:[1.75, 1.5], M:[], q:[0.3125, 0.9375], qb:[], phi:[0.125]] | t^2.25 + t^3. + t^3.75 + 2*t^4.5 + t^5.25 + t^6. - t^3.38/y - t^4.12/y - t^5.62/y - t^3.38*y - t^4.12*y - t^5.62*y | detail | {a: 1563/2048, c: 1627/2048, X1: 7/4, X2: 3/2, q1: 5/16, q2: 15/16, phi1: 1/8} |
| 8198 | $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ \phi_1^5q_1^2$ | 1.113 | 1.2505 | 0.89 | [X:[1.6], M:[], q:[0.5, 0.3], qb:[], phi:[0.2]] | 3*t^2.4 + t^3. + 3*t^3.6 + t^4.2 + 8*t^4.8 + 2*t^5.4 + 7*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: 1113/1000, c: 2501/2000, X1: 8/5, q1: 1/2, q2: 3/10, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 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 |