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 |
---|---|---|---|---|---|---|---|---|---|
2475 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{7}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ | 0.6078 | 0.7619 | 0.7977 | [X:[1.5891], M:[0.4109, 1.2328, 0.7672, 0.8766, 1.0, 0.9453, 0.7672], q:[0.9109, 0.6781], qb:[0.3219, 0.4453], phi:[0.4109]] | [X:[[1]], M:[[-1], [-3], [3], [-7], [0], [5], [3]], q:[[-1], [2]], qb:[[-2], [5]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{6}$, ${ }M_{5}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }X_{1}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{7}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}M_{7}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{7}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | ${}\phi_{1}^{3}\tilde{q}_{1}\tilde{q}_{2}$ | -1 | 2*t^2.301 + t^2.466 + t^2.63 + t^2.836 + t^3. + t^3.534 + t^3.904 + t^4.069 + 3*t^4.603 + 3*t^4.767 + 3*t^4.931 + t^5.096 + 2*t^5.137 + t^5.26 + 3*t^5.301 + t^5.466 + t^5.672 + 2*t^5.836 - t^6. + 2*t^6.206 + 3*t^6.37 + t^6.534 - t^6.699 + t^6.74 - t^6.863 + 5*t^6.904 + 3*t^7.069 + 3*t^7.233 + 3*t^7.397 + 3*t^7.439 + 3*t^7.561 + 5*t^7.603 + t^7.725 + 2*t^7.767 + t^7.809 + t^7.89 + 3*t^7.973 + 4*t^8.137 - 3*t^8.301 - 3*t^8.466 + 4*t^8.507 - 3*t^8.63 + 5*t^8.672 - t^4.233/y - t^6.534/y - t^6.699/y - t^6.863/y - t^7.069/y + t^7.397/y + (2*t^7.603)/y + (3*t^7.767)/y + (3*t^7.931)/y + t^8.096/y + (2*t^8.137)/y + (3*t^8.301)/y + (2*t^8.466)/y + t^8.63/y + (2*t^8.836)/y - t^4.233*y - t^6.534*y - t^6.699*y - t^6.863*y - t^7.069*y + t^7.397*y + 2*t^7.603*y + 3*t^7.767*y + 3*t^7.931*y + t^8.096*y + 2*t^8.137*y + 3*t^8.301*y + 2*t^8.466*y + t^8.63*y + 2*t^8.836*y | 2*g1^3*t^2.301 + t^2.466/g1^2 + t^2.63/g1^7 + g1^5*t^2.836 + t^3. + g1^2*t^3.534 + g1^9*t^3.904 + g1^4*t^4.069 + 3*g1^6*t^4.603 + 3*g1*t^4.767 + (3*t^4.931)/g1^4 + t^5.096/g1^9 + 2*g1^8*t^5.137 + t^5.26/g1^14 + 3*g1^3*t^5.301 + t^5.466/g1^2 + g1^10*t^5.672 + 2*g1^5*t^5.836 - t^6. + 2*g1^12*t^6.206 + 3*g1^7*t^6.37 + g1^2*t^6.534 - t^6.699/g1^3 + g1^14*t^6.74 - t^6.863/g1^8 + 5*g1^9*t^6.904 + 3*g1^4*t^7.069 + (3*t^7.233)/g1 + (3*t^7.397)/g1^6 + 3*g1^11*t^7.439 + (3*t^7.561)/g1^11 + 5*g1^6*t^7.603 + t^7.725/g1^16 + 2*g1*t^7.767 + g1^18*t^7.809 + t^7.89/g1^21 + 3*g1^13*t^7.973 + 4*g1^8*t^8.137 - 3*g1^3*t^8.301 - (3*t^8.466)/g1^2 + 4*g1^15*t^8.507 - (3*t^8.63)/g1^7 + 5*g1^10*t^8.672 - t^4.233/(g1*y) - (g1^2*t^6.534)/y - t^6.699/(g1^3*y) - t^6.863/(g1^8*y) - (g1^4*t^7.069)/y + t^7.397/(g1^6*y) + (2*g1^6*t^7.603)/y + (3*g1*t^7.767)/y + (3*t^7.931)/(g1^4*y) + t^8.096/(g1^9*y) + (2*g1^8*t^8.137)/y + (3*g1^3*t^8.301)/y + (2*t^8.466)/(g1^2*y) + t^8.63/(g1^7*y) + (2*g1^5*t^8.836)/y - (t^4.233*y)/g1 - g1^2*t^6.534*y - (t^6.699*y)/g1^3 - (t^6.863*y)/g1^8 - g1^4*t^7.069*y + (t^7.397*y)/g1^6 + 2*g1^6*t^7.603*y + 3*g1*t^7.767*y + (3*t^7.931*y)/g1^4 + (t^8.096*y)/g1^9 + 2*g1^8*t^8.137*y + 3*g1^3*t^8.301*y + (2*t^8.466*y)/g1^2 + (t^8.63*y)/g1^7 + 2*g1^5*t^8.836*y |
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 |
---|---|---|---|---|---|---|---|---|
4530 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{7}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.623 | 0.7878 | 0.7908 | [X:[1.5907], M:[0.4093, 1.2279, 0.7721, 0.865, 1.0, 0.9536, 0.7721, 0.8186], q:[0.9093, 0.6814], qb:[0.3186, 0.4536], phi:[0.4093]] | 2*t^2.316 + 2*t^2.456 + t^2.595 + t^2.861 + t^3. + t^3.949 + t^4.089 + 3*t^4.633 + 5*t^4.772 + 5*t^4.911 + 2*t^5.051 + 2*t^5.177 + t^5.19 + 4*t^5.316 + 2*t^5.456 + t^5.721 - 2*t^6. - t^4.228/y - t^4.228*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 |
---|---|---|---|---|---|---|---|---|---|
1416 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{7}$ | 0.7413 | 0.9257 | 0.8008 | [M:[0.818, 1.0276, 0.9724, 0.8732, 1.0, 0.693, 0.9724], q:[0.6048, 0.5772], qb:[0.4228, 0.5496], phi:[0.4614]] | t^2.079 + t^2.454 + t^2.619 + t^2.768 + 2*t^2.917 + t^3. + t^3.463 + t^4.158 + t^4.301 + t^4.384 + t^4.467 + t^4.533 + t^4.682 + t^4.699 + t^4.765 + 3*t^4.847 + t^4.908 + t^4.93 + 2*t^4.996 + t^5.013 + t^5.073 + t^5.079 + t^5.222 + t^5.239 + 2*t^5.371 + t^5.388 + 2*t^5.537 + t^5.542 + 2*t^5.686 + t^5.768 + 2*t^5.834 + t^5.917 - 3*t^6. - t^4.384/y - t^4.384*y | detail |