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 |
---|---|---|---|---|---|---|---|---|---|
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]] | [X:[[0, 2]], M:[[0, 4]], q:[[-1, 6], [1, 0]], qb:[], phi:[[0, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$q_1q_2$, $ \phi_1q_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_1^2$, $ M_1$, $ \phi_1^2q_1q_2$, $ \phi_1^3q_2^2$, $ \phi_1^3q_1q_2$, $ \phi_1^3q_1^2$, $ X_1$, $ q_1^2q_2^2$, $ \phi_1q_1q_2^3$, $ \phi_1q_1^2q_2^2$, $ \phi_1q_1^3q_2$ | . | -4 | 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. + 8*t^6.3 - 3*t^6.57 + 9*t^6.87 - 3*t^7.14 + 12*t^7.44 - 3*t^7.71 + t^7.75 + 6*t^8.01 + t^8.28 + 3*t^8.32 + 2*t^8.58 + t^8.85 + 8*t^8.89 + t^8.28/y^2 - t^3.57/y - t^4.71/y - t^6.15/y - (3*t^6.72)/y - (2*t^7.29)/y - (3*t^7.86)/y - t^8.43/y + (2*t^8.74)/y - t^3.57*y - t^4.71*y - t^6.15*y - 3*t^6.72*y - 2*t^7.29*y - 3*t^7.86*y - t^8.43*y + 2*t^8.74*y + t^8.28*y^2 | g2^6*t^2.58 + (g1^2*t^3.15)/g2 + g2^5*t^3.15 + (g2^11*t^3.15)/g1^2 + 2*g2^4*t^3.72 + (g1^2*t^4.29)/g2^3 + g2^3*t^4.29 + (g2^9*t^4.29)/g1^2 + g2^2*t^4.86 + g2^12*t^5.17 + g1^2*g2^5*t^5.74 + g2^11*t^5.74 + (g2^17*t^5.74)/g1^2 - 2*t^6. - (g1^2*t^6.)/g2^6 - (g2^6*t^6.)/g1^2 + (g1^4*t^6.3)/g2^2 + g1^2*g2^4*t^6.3 + 4*g2^10*t^6.3 + (g2^16*t^6.3)/g1^2 + (g2^22*t^6.3)/g1^4 - (g1^2*t^6.57)/g2^7 - t^6.57/g2 - (g2^5*t^6.57)/g1^2 + 3*g1^2*g2^3*t^6.87 + 3*g2^9*t^6.87 + (3*g2^15*t^6.87)/g1^2 - (g1^2*t^7.14)/g2^8 - t^7.14/g2^2 - (g2^4*t^7.14)/g1^2 + (g1^4*t^7.44)/g2^4 + 2*g1^2*g2^2*t^7.44 + 6*g2^8*t^7.44 + (2*g2^14*t^7.44)/g1^2 + (g2^20*t^7.44)/g1^4 - (g1^2*t^7.71)/g2^9 - t^7.71/g2^3 - (g2^3*t^7.71)/g1^2 + g2^18*t^7.75 + 2*g1^2*g2*t^8.01 + 2*g2^7*t^8.01 + (2*g2^13*t^8.01)/g1^2 + t^8.28/g2^4 + g1^2*g2^11*t^8.32 + g2^17*t^8.32 + (g2^23*t^8.32)/g1^2 + (g1^4*t^8.58)/g2^6 + (g2^18*t^8.58)/g1^4 + t^8.85/g2^5 + g1^4*g2^4*t^8.89 + g1^2*g2^10*t^8.89 + 4*g2^16*t^8.89 + (g2^22*t^8.89)/g1^2 + (g2^28*t^8.89)/g1^4 + t^8.28/(g2^4*y^2) - t^3.57/(g2*y) - t^4.71/(g2^3*y) - (g2^5*t^6.15)/y - (g1^2*t^6.72)/(g2^2*y) - (g2^4*t^6.72)/y - (g2^10*t^6.72)/(g1^2*y) - (2*g2^3*t^7.29)/y - (g1^2*t^7.86)/(g2^4*y) - (g2^2*t^7.86)/y - (g2^8*t^7.86)/(g1^2*y) - (g2*t^8.43)/y + (g1^2*g2^5*t^8.74)/y + (g2^17*t^8.74)/(g1^2*y) - (t^3.57*y)/g2 - (t^4.71*y)/g2^3 - g2^5*t^6.15*y - (g1^2*t^6.72*y)/g2^2 - g2^4*t^6.72*y - (g2^10*t^6.72*y)/g1^2 - 2*g2^3*t^7.29*y - (g1^2*t^7.86*y)/g2^4 - g2^2*t^7.86*y - (g2^8*t^7.86*y)/g1^2 - g2*t^8.43*y + g1^2*g2^5*t^8.74*y + (g2^17*t^8.74*y)/g1^2 + (t^8.28*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 |
---|---|---|---|---|---|---|---|---|
8217 | $\phi_1^2X_1$ + $ M_1\phi_1^4$ + $ M_2\phi_1q_1q_2$ | 1.147 | 1.2566 | 0.9127 | [X:[1.6328], M:[1.2655, 0.9181], q:[0.4492, 0.4492], qb:[], phi:[0.1836]] | t^2.69 + t^2.75 + 2*t^3.25 + 2*t^3.8 + 3*t^4.35 + t^4.9 + t^5.39 + t^5.45 + t^5.51 + 2*t^5.94 - 2*t^6. - t^3.55/y - t^4.65/y - t^3.55*y - t^4.65*y | detail | |
8216 | $\phi_1^2X_1$ + $ 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]] | 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^3.55/y - t^4.66/y - t^3.55*y - t^4.66*y | detail | |
8215 | $\phi_1^2X_1$ + $ M_1\phi_1^4$ + $ M_2q_1q_2$ | 1.1302 | 1.2274 | 0.9208 | [X:[1.635], M:[1.27, 1.095], q:[0.4525, 0.4525], qb:[], phi:[0.1825]] | 3*t^3.26 + t^3.29 + 2*t^3.81 + 3*t^4.36 + t^4.9 - 4*t^6. - t^3.55/y - t^4.64/y - t^3.55*y - t^4.64*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 |
---|---|---|---|---|---|---|---|---|---|
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 |