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 |
---|---|---|---|---|---|---|---|---|---|
8216 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1^4$ + $ M_2\phi_1q_1^2$ | 1.1489 | 1.2616 | 0.9107 | [X:[1.632], M:[1.264, 0.8766], q:[0.4697, 0.4263], qb:[], phi:[0.184]] | [X:[[0, 2]], M:[[0, 4], [2, -11]], q:[[-1, 6], [1, 0]], qb:[], phi:[[0, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_2$, $ q_1q_2$, $ \phi_1q_2^2$, $ \phi_1q_1q_2$, $ M_1$, $ \phi_1^2q_1q_2$, $ \phi_1^3q_2^2$, $ \phi_1^3q_1q_2$, $ \phi_1^3q_1^2$, $ X_1$, $ M_2^2$, $ M_2q_1q_2$, $ q_1^2q_2^2$, $ M_2\phi_1q_2^2$, $ \phi_1q_1q_2^3$, $ \phi_1q_1^2q_2^2$ | . | -2 | t^2.63 + t^2.69 + t^3.11 + t^3.24 + 2*t^3.79 + t^4.21 + t^4.34 + t^4.47 + t^4.9 + t^5.26 + t^5.32 + t^5.38 + t^5.74 + t^5.8 + t^5.93 - 2*t^6. - t^6.13 + t^6.22 + t^6.35 + t^6.42 + 3*t^6.48 - t^6.55 - t^6.68 + t^6.84 + 3*t^6.9 + 3*t^7.03 + t^7.16 - t^7.23 + t^7.32 + 2*t^7.45 + 5*t^7.58 - t^7.66 + t^7.71 - t^7.79 + t^7.89 + t^7.95 + 3*t^8.01 + t^8.06 + 2*t^8.14 + t^8.21 + t^8.27 + t^8.37 + 2*t^8.43 + t^8.49 + t^8.56 + t^8.62 - 2*t^8.63 + t^8.85 + t^8.91 + t^8.95 + t^8.21/y^2 - t^3.55/y - t^4.66/y - t^6.18/y - t^6.24/y - t^6.66/y - t^6.79/y - t^7.29/y - (2*t^7.34)/y - t^7.77/y - t^7.9/y + t^8.32/y - t^8.45/y + t^8.74/y + t^8.8/y - t^8.81/y - t^3.55*y - t^4.66*y - t^6.18*y - t^6.24*y - t^6.66*y - t^6.79*y - t^7.29*y - 2*t^7.34*y - t^7.77*y - t^7.9*y + t^8.32*y - t^8.45*y + t^8.74*y + t^8.8*y - t^8.81*y + t^8.21*y^2 | (g1^2*t^2.63)/g2^11 + g2^6*t^2.69 + (g1^2*t^3.11)/g2 + g2^5*t^3.24 + 2*g2^4*t^3.79 + (g1^2*t^4.21)/g2^3 + g2^3*t^4.34 + (g2^9*t^4.47)/g1^2 + g2^2*t^4.9 + (g1^4*t^5.26)/g2^22 + (g1^2*t^5.32)/g2^5 + g2^12*t^5.38 + (g1^4*t^5.74)/g2^12 + g1^2*g2^5*t^5.8 + g2^11*t^5.93 - 2*t^6. - (g2^6*t^6.13)/g1^2 + (g1^4*t^6.22)/g2^2 + g1^2*g2^4*t^6.35 + (g1^2*t^6.42)/g2^7 + 3*g2^10*t^6.48 - t^6.55/g2 - (g2^5*t^6.68)/g1^2 + (g1^4*t^6.84)/g2^14 + 3*g1^2*g2^3*t^6.9 + 3*g2^9*t^7.03 + (g2^15*t^7.16)/g1^2 - (g2^4*t^7.23)/g1^2 + (g1^4*t^7.32)/g2^4 + 2*g1^2*g2^2*t^7.45 + 5*g2^8*t^7.58 - t^7.66/g2^3 + (g2^14*t^7.71)/g1^2 - (g2^3*t^7.79)/g1^2 + (g1^6*t^7.89)/g2^33 + (g1^4*t^7.95)/g2^16 + 3*g1^2*g2*t^8.01 + g2^18*t^8.06 + 2*g2^7*t^8.14 + t^8.21/g2^4 + (g2^13*t^8.27)/g1^2 + (g1^6*t^8.37)/g2^23 + (2*g1^4*t^8.43)/g2^6 + g1^2*g2^11*t^8.49 + g1^2*t^8.56 + g2^17*t^8.62 - (2*g1^2*t^8.63)/g2^11 + (g1^6*t^8.85)/g2^13 + g1^4*g2^4*t^8.91 + (g2^18*t^8.95)/g1^4 + t^8.21/(g2^4*y^2) - t^3.55/(g2*y) - t^4.66/(g2^3*y) - (g1^2*t^6.18)/(g2^12*y) - (g2^5*t^6.24)/y - (g1^2*t^6.66)/(g2^2*y) - (g2^4*t^6.79)/y - (g1^2*t^7.29)/(g2^14*y) - (2*g2^3*t^7.34)/y - (g1^2*t^7.77)/(g2^4*y) - (g2^2*t^7.9)/y + (g1^2*t^8.32)/(g2^5*y) - (g2*t^8.45)/y + (g1^4*t^8.74)/(g2^12*y) + (g1^2*g2^5*t^8.8)/y - (g1^4*t^8.81)/(g2^23*y) - (t^3.55*y)/g2 - (t^4.66*y)/g2^3 - (g1^2*t^6.18*y)/g2^12 - g2^5*t^6.24*y - (g1^2*t^6.66*y)/g2^2 - g2^4*t^6.79*y - (g1^2*t^7.29*y)/g2^14 - 2*g2^3*t^7.34*y - (g1^2*t^7.77*y)/g2^4 - g2^2*t^7.9*y + (g1^2*t^8.32*y)/g2^5 - g2*t^8.45*y + (g1^4*t^8.74*y)/g2^12 + g1^2*g2^5*t^8.8*y - (g1^4*t^8.81*y)/g2^23 + (t^8.21*y^2)/g2^4 |
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 |
---|---|---|---|---|---|---|---|---|
8429 | $\phi_1^2X_1$ + $ M_1\phi_1^4$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1q_2^2$ | 1.1558 | 1.2669 | 0.9123 | [X:[1.6444], M:[1.2887, 0.8891, 0.8891], q:[0.4665, 0.4665], qb:[], phi:[0.1778]] | 2*t^2.67 + t^2.8 + t^3.33 + 2*t^3.87 + 3*t^4.4 + t^4.93 + 3*t^5.33 + 2*t^5.47 + t^5.6 - 2*t^6. - t^3.53/y - t^4.6/y - t^3.53*y - t^4.6*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 |
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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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
8188 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1^4$ | 1.1408 | 1.2531 | 0.9104 | [X:[1.6203], M:[1.2406], q:[0.4305, 0.4305], qb:[], phi:[0.1898]] | t^2.58 + 3*t^3.15 + 2*t^3.72 + 3*t^4.29 + t^4.86 + t^5.17 + 3*t^5.74 - 4*t^6. - t^3.57/y - t^4.71/y - t^3.57*y - t^4.71*y | detail |