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 |
---|---|---|---|---|---|---|---|---|---|
2512 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{2}M_{7}$ | 0.6929 | 0.8532 | 0.8122 | [M:[0.9945, 1.0166, 0.9834, 1.0276, 0.9724, 0.9724, 0.9834], q:[0.4972, 0.5083], qb:[0.5193, 0.4641], phi:[0.5028]] | [M:[[2], [-6], [6], [-10], [10], [10], [6]], q:[[1], [-3]], qb:[[-7], [13]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}q_{1}\tilde{q}_{2}$, ${ }M_{5}$, ${ }M_{6}$, ${ }M_{3}$, ${ }M_{7}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{7}q_{1}\tilde{q}_{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{5}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{3}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{7}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$ | ${}$ | -3 | t^2.884 + 2*t^2.917 + 2*t^2.95 + t^2.983 + t^3.017 + t^4.293 + t^4.392 + t^4.425 + t^4.459 + t^4.492 + t^4.525 + 2*t^4.558 + t^4.591 + t^4.624 + t^5.768 + 2*t^5.801 + 4*t^5.834 + 4*t^5.867 + 5*t^5.901 + 3*t^5.934 - 3*t^6. - t^6.033 - t^6.066 - t^6.099 - t^6.133 - t^6.166 + t^7.177 + 2*t^7.21 + 2*t^7.243 + t^7.276 + 3*t^7.309 + 3*t^7.342 + 3*t^7.376 + 4*t^7.409 + 4*t^7.442 + 3*t^7.475 + 3*t^7.508 + 2*t^7.541 + 2*t^7.575 - t^7.608 - t^7.641 - t^7.674 + t^8.586 + t^8.652 + 3*t^8.685 + 5*t^8.718 + 7*t^8.751 + 8*t^8.784 + 8*t^8.818 + 8*t^8.851 - 5*t^8.917 - 7*t^8.95 - 6*t^8.983 - t^4.508/y - t^7.425/y - t^7.459/y + t^7.558/y + t^7.591/y + (2*t^8.801)/y + (3*t^8.834)/y + (5*t^8.867)/y + (4*t^8.901)/y + (4*t^8.934)/y + (2*t^8.967)/y - t^4.508*y - t^7.425*y - t^7.459*y + t^7.558*y + t^7.591*y + 2*t^8.801*y + 3*t^8.834*y + 5*t^8.867*y + 4*t^8.901*y + 4*t^8.934*y + 2*t^8.967*y | g1^14*t^2.884 + 2*g1^10*t^2.917 + 2*g1^6*t^2.95 + g1^2*t^2.983 + t^3.017/g1^2 + g1^25*t^4.293 + g1^13*t^4.392 + g1^9*t^4.425 + g1^5*t^4.459 + g1*t^4.492 + t^4.525/g1^3 + (2*t^4.558)/g1^7 + t^4.591/g1^11 + t^4.624/g1^15 + g1^28*t^5.768 + 2*g1^24*t^5.801 + 4*g1^20*t^5.834 + 4*g1^16*t^5.867 + 5*g1^12*t^5.901 + 3*g1^8*t^5.934 - 3*t^6. - t^6.033/g1^4 - t^6.066/g1^8 - t^6.099/g1^12 - t^6.133/g1^16 - t^6.166/g1^20 + g1^39*t^7.177 + 2*g1^35*t^7.21 + 2*g1^31*t^7.243 + g1^27*t^7.276 + 3*g1^23*t^7.309 + 3*g1^19*t^7.342 + 3*g1^15*t^7.376 + 4*g1^11*t^7.409 + 4*g1^7*t^7.442 + 3*g1^3*t^7.475 + (3*t^7.508)/g1 + (2*t^7.541)/g1^5 + (2*t^7.575)/g1^9 - t^7.608/g1^13 - t^7.641/g1^17 - t^7.674/g1^21 + g1^50*t^8.586 + g1^42*t^8.652 + 3*g1^38*t^8.685 + 5*g1^34*t^8.718 + 7*g1^30*t^8.751 + 8*g1^26*t^8.784 + 8*g1^22*t^8.818 + 8*g1^18*t^8.851 - 5*g1^10*t^8.917 - 7*g1^6*t^8.95 - 6*g1^2*t^8.983 - t^4.508/(g1*y) - (g1^9*t^7.425)/y - (g1^5*t^7.459)/y + t^7.558/(g1^7*y) + t^7.591/(g1^11*y) + (2*g1^24*t^8.801)/y + (3*g1^20*t^8.834)/y + (5*g1^16*t^8.867)/y + (4*g1^12*t^8.901)/y + (4*g1^8*t^8.934)/y + (2*g1^4*t^8.967)/y - (t^4.508*y)/g1 - g1^9*t^7.425*y - g1^5*t^7.459*y + (t^7.558*y)/g1^7 + (t^7.591*y)/g1^11 + 2*g1^24*t^8.801*y + 3*g1^20*t^8.834*y + 5*g1^16*t^8.867*y + 4*g1^12*t^8.901*y + 4*g1^8*t^8.934*y + 2*g1^4*t^8.967*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 |
---|---|---|---|---|---|---|---|---|
4559 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{2}M_{7}$ + ${ }M_{8}\phi_{1}^{2}$ | 0.6935 | 0.8548 | 0.8113 | [M:[0.9936, 1.0193, 0.9807, 1.0322, 0.9678, 0.9678, 0.9807, 0.9936], q:[0.4968, 0.5097], qb:[0.5225, 0.4582], phi:[0.5032]] | t^2.865 + 2*t^2.903 + 2*t^2.942 + 2*t^2.981 + t^4.259 + t^4.374 + t^4.413 + t^4.452 + t^4.49 + t^4.529 + 2*t^4.568 + t^4.606 + t^4.645 + t^5.73 + 2*t^5.768 + 4*t^5.807 + 5*t^5.846 + 6*t^5.884 + 3*t^5.923 - 4*t^6. - t^4.51/y - t^4.51*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 |
---|---|---|---|---|---|---|---|---|---|
1445 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{4}M_{6}$ | 0.6918 | 0.8495 | 0.8143 | [M:[0.9973, 1.0082, 0.9918, 1.0137, 0.9863, 0.9863], q:[0.4986, 0.5041], qb:[0.5096, 0.4822], phi:[0.5014]] | t^2.942 + 2*t^2.959 + t^2.975 + t^2.992 + t^3.008 + t^3.025 + t^4.397 + t^4.446 + t^4.463 + t^4.479 + t^4.496 + t^4.512 + 2*t^4.529 + t^4.545 + t^4.562 + t^5.885 + 2*t^5.901 + 3*t^5.918 + 2*t^5.934 + 3*t^5.951 + 3*t^5.967 + t^5.984 - 2*t^6. - t^4.504/y - t^4.504*y | detail |