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 |
---|---|---|---|---|---|---|---|---|---|
1347 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6331 | 0.8457 | 0.7486 | [M:[0.9195, 1.2415, 0.9195, 0.7585, 0.7585, 0.7012], q:[0.7299, 0.3506], qb:[0.3506, 0.4079], phi:[0.5402]] | [M:[[4], [-12], [4], [12], [12], [-10]], q:[[1], [-5]], qb:[[-5], [17]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{6}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{4}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{6}^{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{6}q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{1}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}^{3}$ | ${}M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | 3 | 2*t^2.104 + 3*t^2.276 + 2*t^2.759 + t^3.241 + t^3.413 + 2*t^3.724 + t^3.896 + t^4.068 + 3*t^4.207 + 6*t^4.379 + 6*t^4.551 + 4*t^4.862 + 6*t^5.034 + 2*t^5.345 + 7*t^5.517 + 3*t^5.689 + 2*t^5.828 + 3*t^6. + 4*t^6.172 + 4*t^6.311 + 3*t^6.344 + 9*t^6.483 + 12*t^6.655 + 12*t^6.827 + 5*t^6.966 + 9*t^7.138 + 12*t^7.31 + 3*t^7.449 + t^7.482 + 7*t^7.621 + 15*t^7.793 + 2*t^7.932 + 7*t^7.964 - t^8.104 + t^8.136 + 6*t^8.276 + 5*t^8.415 + 9*t^8.447 + 8*t^8.587 + 6*t^8.619 + 8*t^8.759 + 21*t^8.93 - t^4.621/y - t^6.724/y - t^6.896/y + t^7.207/y + (5*t^7.379)/y + (3*t^7.551)/y + (5*t^7.862)/y + (6*t^8.034)/y + (3*t^8.345)/y + (7*t^8.517)/y + (3*t^8.689)/y + (3*t^8.828)/y - t^4.621*y - t^6.724*y - t^6.896*y + t^7.207*y + 5*t^7.379*y + 3*t^7.551*y + 5*t^7.862*y + 6*t^8.034*y + 3*t^8.345*y + 7*t^8.517*y + 3*t^8.689*y + 3*t^8.828*y | (2*t^2.104)/g1^10 + 3*g1^12*t^2.276 + 2*g1^4*t^2.759 + t^3.241/g1^4 + g1^18*t^3.413 + (2*t^3.724)/g1^12 + g1^10*t^3.896 + g1^32*t^4.068 + (3*t^4.207)/g1^20 + 6*g1^2*t^4.379 + 6*g1^24*t^4.551 + (4*t^4.862)/g1^6 + 6*g1^16*t^5.034 + (2*t^5.345)/g1^14 + 7*g1^8*t^5.517 + 3*g1^30*t^5.689 + (2*t^5.828)/g1^22 + 3*t^6. + 4*g1^22*t^6.172 + (4*t^6.311)/g1^30 + 3*g1^44*t^6.344 + (9*t^6.483)/g1^8 + 12*g1^14*t^6.655 + 12*g1^36*t^6.827 + (5*t^6.966)/g1^16 + 9*g1^6*t^7.138 + 12*g1^28*t^7.31 + (3*t^7.449)/g1^24 + g1^50*t^7.482 + (7*t^7.621)/g1^2 + 15*g1^20*t^7.793 + (2*t^7.932)/g1^32 + 7*g1^42*t^7.964 - t^8.104/g1^10 + g1^64*t^8.136 + 6*g1^12*t^8.276 + (5*t^8.415)/g1^40 + 9*g1^34*t^8.447 + (8*t^8.587)/g1^18 + 6*g1^56*t^8.619 + 8*g1^4*t^8.759 + 21*g1^26*t^8.93 - t^4.621/(g1^2*y) - t^6.724/(g1^12*y) - (g1^10*t^6.896)/y + t^7.207/(g1^20*y) + (5*g1^2*t^7.379)/y + (3*g1^24*t^7.551)/y + (5*t^7.862)/(g1^6*y) + (6*g1^16*t^8.034)/y + (3*t^8.345)/(g1^14*y) + (7*g1^8*t^8.517)/y + (3*g1^30*t^8.689)/y + (3*t^8.828)/(g1^22*y) - (t^4.621*y)/g1^2 - (t^6.724*y)/g1^12 - g1^10*t^6.896*y + (t^7.207*y)/g1^20 + 5*g1^2*t^7.379*y + 3*g1^24*t^7.551*y + (5*t^7.862*y)/g1^6 + 6*g1^16*t^8.034*y + (3*t^8.345*y)/g1^14 + 7*g1^8*t^8.517*y + 3*g1^30*t^8.689*y + (3*t^8.828*y)/g1^22 |
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 |
---|---|---|---|---|---|---|---|---|
2417 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6519 | 0.8809 | 0.7401 | [M:[0.9171, 1.2488, 0.9171, 0.7512, 0.7512, 0.7073, 0.7512], q:[0.7293, 0.3537], qb:[0.3537, 0.3975], phi:[0.5415]] | 2*t^2.122 + 4*t^2.254 + 2*t^2.751 + t^3.249 + t^3.38 + t^3.746 + t^3.878 + t^4.01 + 3*t^4.244 + 8*t^4.376 + 10*t^4.507 + 4*t^4.873 + 8*t^5.005 + 2*t^5.371 + 8*t^5.502 + 4*t^5.634 + t^6. - t^4.624/y - t^4.624*y | detail | |
2415 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$ | 0.6405 | 0.8589 | 0.7458 | [M:[0.9178, 1.2467, 0.9178, 0.7533, 0.7533, 0.7056, 0.9178], q:[0.7294, 0.3528], qb:[0.3528, 0.4006], phi:[0.5411]] | 2*t^2.117 + 3*t^2.26 + 3*t^2.753 + t^3.39 + 2*t^3.74 + t^3.883 + t^4.027 + 3*t^4.233 + 6*t^4.377 + 6*t^4.52 + 6*t^4.87 + 9*t^5.013 + 7*t^5.507 + 3*t^5.65 + 2*t^5.857 + t^6. - t^4.623/y - t^4.623*y | detail | |
2416 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ | 0.6463 | 0.8674 | 0.7451 | [M:[0.9259, 1.2224, 0.9259, 0.7776, 0.7776, 0.6853, 0.8336], q:[0.7315, 0.3427], qb:[0.3427, 0.4349], phi:[0.5371]] | 2*t^2.056 + 3*t^2.333 + t^2.501 + 2*t^2.778 + t^3.222 + 2*t^3.667 + t^3.944 + 3*t^4.112 + t^4.221 + 6*t^4.389 + 2*t^4.557 + 6*t^4.666 + 7*t^4.834 + t^5.002 + 6*t^5.11 + 4*t^5.278 + 5*t^5.555 + 3*t^5.723 + 3*t^6. - t^4.611/y - t^4.611*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 |
---|---|---|---|---|---|---|---|---|---|
854 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ | 0.6126 | 0.807 | 0.7591 | [M:[0.9185, 1.2444, 0.9185, 0.7556, 0.7556], q:[0.7296, 0.3518], qb:[0.3518, 0.4038], phi:[0.5407]] | t^2.111 + 3*t^2.267 + 2*t^2.756 + t^3.244 + t^3.4 + 2*t^3.733 + 2*t^3.889 + t^4.045 + t^4.222 + 3*t^4.378 + 6*t^4.534 + 2*t^4.867 + 6*t^5.022 + t^5.355 + 6*t^5.511 + 3*t^5.667 + 3*t^6. - t^4.622/y - t^4.622*y | detail |