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 |
|---|---|---|---|---|---|---|---|---|---|
| 8367 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ M_1\phi_1^2q_1q_2$ + $ M_2\phi_1q_2^2$ | 1.1882 | 1.331 | 0.8927 | [X:[1.6425], M:[0.715, 0.86], q:[0.4469, 0.4806], qb:[], phi:[0.1788]] | [X:[[4]], M:[[-8], [-32]], q:[[-5], [17]], qb:[], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ \phi_1^4$, $ M_2$, $ q_1q_2$, $ \phi_1q_1^2$, $ \phi_1q_1q_2$, $ M_1^2$, $ M_1\phi_1^4$, $ \phi_1^8$, $ \phi_1^3q_1^2$, $ \phi_1^3q_1q_2$, $ \phi_1^3q_2^2$, $ M_1M_2$, $ M_2\phi_1^4$, $ M_1q_1q_2$, $ \phi_1^4q_1q_2$, $ X_1$, $ M_2^2$, $ M_1\phi_1q_1^2$, $ \phi_1^5q_1^2$, $ M_2q_1q_2$, $ M_1\phi_1q_1q_2$, $ \phi_1^5q_1q_2$, $ q_1^2q_2^2$, $ M_2\phi_1q_1^2$ | . | -1 | 2*t^2.15 + t^2.58 + t^2.78 + t^3.22 + t^3.32 + 4*t^4.29 + t^4.39 + t^4.49 + 2*t^4.73 + 3*t^4.93 + t^5.16 + 3*t^5.36 + 2*t^5.46 + t^5.56 + t^5.8 - t^6. + 6*t^6.44 + 2*t^6.54 + 2*t^6.64 + 4*t^6.87 + 6*t^7.07 + t^7.27 + 2*t^7.31 + 6*t^7.51 + 4*t^7.61 + 3*t^7.71 + t^7.74 + t^7.81 + 3*t^7.94 + t^8.38 + 8*t^8.58 + 2*t^8.78 + t^8.88 + t^8.98 + t^8.15/y^2 - (2*t^8.68)/y^2 - t^3.54/y - t^4.61/y - (2*t^5.68)/y - t^6.12/y - t^6.32/y - (3*t^6.75)/y - t^6.85/y - t^7.19/y + t^7.29/y + (2*t^7.73)/y - (4*t^7.83)/y + t^7.93/y - (2*t^8.26)/y + (3*t^8.36)/y + t^8.46/y - t^8.7/y + t^8.8/y - (5*t^8.9)/y - t^3.54*y - t^4.61*y - 2*t^5.68*y - t^6.12*y - t^6.32*y - 3*t^6.75*y - t^6.85*y - t^7.19*y + t^7.29*y + 2*t^7.73*y - 4*t^7.83*y + t^7.93*y - 2*t^8.26*y + 3*t^8.36*y + t^8.46*y - t^8.7*y + t^8.8*y - 5*t^8.9*y + t^8.15*y^2 - 2*t^8.68*y^2 | (2*t^2.15)/g1^8 + t^2.58/g1^32 + g1^12*t^2.78 + t^3.22/g1^12 + g1^10*t^3.32 + (4*t^4.29)/g1^16 + g1^6*t^4.39 + g1^28*t^4.49 + (2*t^4.73)/g1^40 + 3*g1^4*t^4.93 + t^5.16/g1^64 + (3*t^5.36)/g1^20 + 2*g1^2*t^5.46 + g1^24*t^5.56 + t^5.8/g1^44 - t^6. + (6*t^6.44)/g1^24 + (2*t^6.54)/g1^2 + 2*g1^20*t^6.64 + (4*t^6.87)/g1^48 + (6*t^7.07)/g1^4 + g1^40*t^7.27 + (2*t^7.31)/g1^72 + (6*t^7.51)/g1^28 + (4*t^7.61)/g1^6 + 3*g1^16*t^7.71 + t^7.74/g1^96 + g1^38*t^7.81 + (3*t^7.94)/g1^52 + t^8.38/g1^76 + (8*t^8.58)/g1^32 + 2*g1^12*t^8.78 + g1^34*t^8.88 + g1^56*t^8.98 + t^8.15/(g1^8*y^2) - (2*t^8.68)/(g1^10*y^2) - t^3.54/(g1^2*y) - t^4.61/(g1^6*y) - (2*t^5.68)/(g1^10*y) - t^6.12/(g1^34*y) - (g1^10*t^6.32)/y - (3*t^6.75)/(g1^14*y) - (g1^8*t^6.85)/y - t^7.19/(g1^38*y) + t^7.29/(g1^16*y) + (2*t^7.73)/(g1^40*y) - (4*t^7.83)/(g1^18*y) + (g1^4*t^7.93)/y - (2*t^8.26)/(g1^42*y) + (3*t^8.36)/(g1^20*y) + (g1^2*t^8.46)/y - t^8.7/(g1^66*y) + t^8.8/(g1^44*y) - (5*t^8.9)/(g1^22*y) - (t^3.54*y)/g1^2 - (t^4.61*y)/g1^6 - (2*t^5.68*y)/g1^10 - (t^6.12*y)/g1^34 - g1^10*t^6.32*y - (3*t^6.75*y)/g1^14 - g1^8*t^6.85*y - (t^7.19*y)/g1^38 + (t^7.29*y)/g1^16 + (2*t^7.73*y)/g1^40 - (4*t^7.83*y)/g1^18 + g1^4*t^7.93*y - (2*t^8.26*y)/g1^42 + (3*t^8.36*y)/g1^20 + g1^2*t^8.46*y - (t^8.7*y)/g1^66 + (t^8.8*y)/g1^44 - (5*t^8.9*y)/g1^22 + (t^8.15*y^2)/g1^8 - (2*t^8.68*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 |
|---|---|---|---|---|---|---|---|---|
| 8518 | $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ M_1\phi_1^2q_1q_2$ + $ M_2\phi_1q_2^2$ + $ M_2^2$ | 1.175 | 1.3156 | 0.8931 | [X:[1.625], M:[0.75, 1.0], q:[0.4688, 0.4062], qb:[], phi:[0.1875]] | 2*t^2.25 + t^2.62 + t^3. + t^3.19 + t^3.38 + t^4.12 + t^4.31 + 4*t^4.5 + 3*t^4.88 + 3*t^5.25 + 2*t^5.44 + 3*t^5.62 - t^3.56/y - t^4.69/y - (2*t^5.81)/y - t^3.56*y - t^4.69*y - 2*t^5.81*y | detail | {a: 19251/16384, c: 21555/16384, X1: 13/8, M1: 3/4, M2: 1, q1: 15/32, q2: 13/32, phi1: 3/16} |
| 8519 | $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ M_1\phi_1^2q_1q_2$ + $ M_2\phi_1q_2^2$ + $ M_3\phi_1q_1^2$ | 1.1953 | 1.3428 | 0.8901 | [X:[1.6395], M:[0.721, 0.8841, 0.9185], q:[0.4506, 0.4678], qb:[], phi:[0.1803]] | 2*t^2.16 + t^2.65 + 2*t^2.76 + t^3.3 + 4*t^4.33 + t^4.38 + t^4.43 + 2*t^4.82 + 5*t^4.92 + t^5.3 + 2*t^5.41 + 2*t^5.46 + 3*t^5.51 - 2*t^6. - t^3.54/y - t^4.62/y - (2*t^5.7)/y - t^3.54*y - t^4.62*y - 2*t^5.7*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 |
|---|---|---|---|---|---|---|---|---|---|
| 8201 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ \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 |