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 |
---|---|---|---|---|---|---|---|---|---|
79491 | Sp2s2nf1 | ${}M_{1}S_{1}^{2}$ + ${ }M_{2}S_{2}^{2}$ | 2.4098 | 2.5396 | 0.9489 | [X:[], M:[0.8702, 0.8702], q:[0.6107, 0.6107], qb:[], phi:[], S:[0.5649, 0.5649], Sb:[], A:[], Ab:[]] | [X:[], M:[[0, -2, 0], [0, 0, -2]], q:[[-1, -6, -6], [1, 0, 0]], qb:[], phi:[], S:[[0, 1, 0], [0, 0, 1]], Sb:[], A:[], Ab:[]] | 3 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }M_{2}$, ${ }S_{1}S_{2}$, ${ }q_{1}q_{2}$, ${ }M_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }q_{2}^{2}S_{1}$, ${ }q_{1}^{2}S_{1}$, ${ }q_{1}^{2}S_{2}$, ${ }q_{1}q_{2}S_{1}$, ${ }q_{1}q_{2}S_{2}$, ${ }q_{2}^{2}S_{2}$ | ${}$ | -5 | 2*t^2.611 + t^3.389 + t^3.664 + 3*t^5.221 + 6*t^5.359 - 5*t^6. + 2*t^6.275 + 7*t^6.779 + 7*t^7.053 + t^7.328 - 8*t^7.695 + 4*t^7.832 + 6*t^7.97 + 3*t^8.336 - 10*t^8.611 + 26*t^8.748 + 3*t^8.886 - (2*t^4.695)/y - (2*t^7.305)/y - (6*t^8.084)/y + t^8.221/y - (2*t^8.359)/y - 2*t^4.695*y - 2*t^7.305*y - 6*t^8.084*y + t^8.221*y - 2*t^8.359*y | t^2.611/g2^2 + t^2.611/g3^2 + g2*g3*t^3.389 + t^3.664/(g2^6*g3^6) + t^5.221/g2^4 + t^5.221/g3^4 + t^5.221/(g2^2*g3^2) + g1^2*g2*t^5.359 + t^5.359/(g1^2*g2^11*g3^12) + t^5.359/(g1^2*g2^12*g3^11) + t^5.359/(g2^5*g3^6) + t^5.359/(g2^6*g3^5) + g1^2*g3*t^5.359 - 3*t^6. - t^6./(g1^2*g2^6*g3^6) - g1^2*g2^6*g3^6*t^6. + t^6.275/(g2^6*g3^8) + t^6.275/(g2^8*g3^6) + g2^4*t^6.779 + g2^3*g3*t^6.779 + 3*g2^2*g3^2*t^6.779 + g2*g3^3*t^6.779 + g3^4*t^6.779 + t^7.053/(g1^2*g2^11*g3^11) + t^7.053/(g2^4*g3^6) + (3*t^7.053)/(g2^5*g3^5) + t^7.053/(g2^6*g3^4) + g1^2*g2*g3*t^7.053 + t^7.328/(g2^12*g3^12) - 2*g2*t^7.695 - t^7.695/(g1^2*g2^5*g3^6) - t^7.695/(g1^2*g2^6*g3^5) - 2*g3*t^7.695 - g1^2*g2^7*g3^6*t^7.695 - g1^2*g2^6*g3^7*t^7.695 + t^7.832/g2^6 + t^7.832/g3^6 + t^7.832/(g2^2*g3^4) + t^7.832/(g2^4*g3^2) + t^7.97/(g1^2*g2^11*g3^14) + t^7.97/(g1^2*g2^14*g3^11) + t^7.97/(g2^5*g3^8) + t^7.97/(g2^8*g3^5) + (g1^2*g2*t^7.97)/g3^2 + (g1^2*g3*t^7.97)/g2^2 + t^8.336/g1^2 + g2^6*g3^6*t^8.336 + g1^2*g2^12*g3^12*t^8.336 - (3*t^8.611)/g2^2 - t^8.611/(g1^2*g2^6*g3^8) - t^8.611/(g1^2*g2^8*g3^6) - (3*t^8.611)/g3^2 - g1^2*g2^6*g3^4*t^8.611 - g1^2*g2^4*g3^6*t^8.611 + g1^2*g2^3*t^8.748 + t^8.748/(g1^2*g2^9*g3^12) + (3*t^8.748)/(g1^2*g2^10*g3^11) + (3*t^8.748)/(g1^2*g2^11*g3^10) + t^8.748/(g1^2*g2^12*g3^9) + t^8.748/(g2^3*g3^6) + (4*t^8.748)/(g2^4*g3^5) + (4*t^8.748)/(g2^5*g3^4) + t^8.748/(g2^6*g3^3) + 3*g1^2*g2^2*g3*t^8.748 + 3*g1^2*g2*g3^2*t^8.748 + g1^2*g3^3*t^8.748 + t^8.886/(g2^6*g3^10) + t^8.886/(g2^8*g3^8) + t^8.886/(g2^10*g3^6) - (g2*t^4.695)/y - (g3*t^4.695)/y - (g2*t^7.305)/(g3^2*y) - (g3*t^7.305)/(g2^2*y) - (g2^3*t^8.084)/y - (2*g2^2*g3*t^8.084)/y - (2*g2*g3^2*t^8.084)/y - (g3^3*t^8.084)/y + t^8.221/(g2^2*g3^2*y) - t^8.359/(g2^5*g3^6*y) - t^8.359/(g2^6*g3^5*y) - g2*t^4.695*y - g3*t^4.695*y - (g2*t^7.305*y)/g3^2 - (g3*t^7.305*y)/g2^2 - g2^3*t^8.084*y - 2*g2^2*g3*t^8.084*y - 2*g2*g3^2*t^8.084*y - g3^3*t^8.084*y + (t^8.221*y)/(g2^2*g3^2) - (t^8.359*y)/(g2^5*g3^6) - (t^8.359*y)/(g2^6*g3^5) |
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 |
---|---|---|---|---|---|---|---|---|
79514 | ${}M_{1}S_{1}^{2}$ + ${ }M_{2}S_{2}^{2}$ + ${ }M_{1}^{2}$ | 2.3777 | 2.4977 | 0.952 | [X:[], M:[1.0, 0.7601], q:[0.6402, 0.6402], qb:[], phi:[], S:[0.5, 0.6199], Sb:[], A:[], Ab:[]] | t^2.28 + t^3. + t^3.36 + t^3.841 + t^4.561 + t^5.28 + 3*t^5.341 + 3*t^5.701 - 3*t^6. - t^4.5/y - t^4.86/y - t^4.5*y - t^4.86*y | detail | {a: 10453561/4396416, c: 10980857/4396416, M1: 1, M2: 244/321, q1: 137/214, q2: 137/214, S1: 1/2, S2: 199/321} |
79527 | ${}M_{1}S_{1}^{2}$ + ${ }M_{2}S_{2}^{2}$ + ${ }M_{3}S_{1}S_{2}$ | 2.4214 | 2.5609 | 0.9455 | [X:[], M:[0.8687, 0.8687, 0.8687], q:[0.6061, 0.6061], qb:[], phi:[], S:[0.5656, 0.5656], Sb:[], A:[], Ab:[]] | 3*t^2.606 + t^3.637 + 6*t^5.212 + 6*t^5.334 - 7*t^6. - (2*t^4.697)/y - 2*t^4.697*y | detail | |
79519 | ${}M_{1}S_{1}^{2}$ + ${ }M_{2}S_{2}^{2}$ + ${ }q_{2}^{2}S_{1}$ | 2.395 | 2.5083 | 0.9548 | [X:[], M:[0.8706, 0.9027], q:[0.6023, 0.7177], qb:[], phi:[], S:[0.5647, 0.5486], Sb:[], A:[], Ab:[]] | t^2.612 + t^2.708 + t^3.34 + t^3.96 + t^5.224 + t^5.26 + t^5.308 + t^5.32 + t^5.416 + t^5.606 + t^5.952 - 2*t^6. - t^4.646/y - t^4.694/y - t^4.646*y - t^4.694*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 |
---|---|---|---|---|---|---|---|---|---|
79472 | Sp2s2nf1 | ${}M_{1}S_{1}^{2}$ | 2.3991 | 2.5205 | 0.9518 | [X:[], M:[0.8514], q:[0.6156, 0.6156], qb:[], phi:[], S:[0.5743, 0.5539], Sb:[], A:[], Ab:[]] | t^2.554 + t^3.323 + t^3.384 + t^3.694 + t^5.109 + 3*t^5.355 + 3*t^5.417 + t^5.877 - 5*t^6. - t^4.662/y - t^4.723/y - t^4.662*y - t^4.723*y | detail |