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 |
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6325 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{9}\phi_{1}q_{2}^{2}$ | 0.7155 | 0.9265 | 0.7722 | [M:[1.0747, 0.8119, 1.0567, 0.8299, 1.1701, 0.9433, 0.6805, 0.6985, 0.7165], q:[0.5194, 0.4059], qb:[0.4239, 0.7642], phi:[0.4716]] | [M:[[-30], [22], [4], [-12], [12], [-4], [48], [14], [-20]], q:[[19], [11]], qb:[[-23], [1]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{7}$, ${ }M_{8}$, ${ }M_{9}$, ${ }M_{2}$, ${ }M_{4}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{5}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{7}^{2}$, ${ }M_{7}M_{8}$, ${ }M_{8}^{2}$, ${ }M_{7}M_{9}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{8}M_{9}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{9}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{4}M_{7}$, ${ }M_{2}M_{8}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{4}M_{8}$, ${ }M_{2}M_{9}$, ${ }M_{4}M_{9}$, ${ }M_{2}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{6}M_{8}$, ${ }M_{8}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{6}M_{9}$, ${ }M_{9}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{6}$, ${ }M_{1}M_{7}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{1}M_{8}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{9}$, ${ }M_{5}M_{7}$, ${ }M_{5}M_{8}$, ${ }M_{1}M_{2}$, ${ }M_{6}^{2}$, ${ }M_{5}M_{9}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{7}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{5}$, ${ }M_{8}q_{1}\tilde{q}_{2}$ | ${}M_{9}q_{1}\tilde{q}_{2}$ | -1 | t^2.041 + t^2.095 + t^2.149 + t^2.436 + t^2.49 + 2*t^2.83 + t^3.224 + t^3.51 + t^3.851 + t^4.083 + t^4.137 + 3*t^4.191 + 2*t^4.245 + t^4.299 + t^4.477 + 3*t^4.531 + 2*t^4.585 + t^4.639 + 3*t^4.871 + 3*t^4.925 + 3*t^4.979 + 3*t^5.266 + 3*t^5.32 + t^5.373 + t^5.552 + t^5.606 + 4*t^5.66 + t^5.892 + t^5.946 - t^6. + t^6.054 + t^6.124 + t^6.178 + 3*t^6.232 + 4*t^6.286 + 4*t^6.34 + t^6.394 + 2*t^6.448 + t^6.519 + 3*t^6.573 + 5*t^6.627 + 6*t^6.68 + 2*t^6.734 + t^6.788 + 3*t^6.913 + 5*t^6.967 + 8*t^7.021 + 4*t^7.075 + t^7.129 + 4*t^7.307 + 7*t^7.361 + 4*t^7.415 + 3*t^7.469 + t^7.523 + t^7.593 + t^7.647 + 6*t^7.701 + 5*t^7.755 + 4*t^7.809 + t^7.934 + t^7.988 + t^8.041 + t^8.095 + t^8.166 + t^8.203 + t^8.22 + 3*t^8.274 + 4*t^8.328 + 7*t^8.382 + 5*t^8.49 + t^8.544 + t^8.56 + 2*t^8.598 + 3*t^8.614 + 5*t^8.668 + 10*t^8.722 + 6*t^8.776 - t^8.83 + 3*t^8.884 + t^8.938 + 3*t^8.954 - t^4.415/y - t^6.456/y - t^6.51/y - t^6.564/y - t^6.851/y + t^7.137/y + (2*t^7.191)/y + t^7.477/y + (2*t^7.531)/y + (3*t^7.585)/y + (2*t^7.871)/y + (3*t^7.925)/y + (3*t^7.979)/y + (4*t^8.266)/y + (4*t^8.32)/y + (2*t^8.373)/y - t^8.498/y - t^8.606/y + (2*t^8.66)/y + t^8.946/y - t^4.415*y - t^6.456*y - t^6.51*y - t^6.564*y - t^6.851*y + t^7.137*y + 2*t^7.191*y + t^7.477*y + 2*t^7.531*y + 3*t^7.585*y + 2*t^7.871*y + 3*t^7.925*y + 3*t^7.979*y + 4*t^8.266*y + 4*t^8.32*y + 2*t^8.373*y - t^8.498*y - t^8.606*y + 2*t^8.66*y + t^8.946*y | g1^48*t^2.041 + g1^14*t^2.095 + t^2.149/g1^20 + g1^22*t^2.436 + t^2.49/g1^12 + (2*t^2.83)/g1^4 + t^3.224/g1^30 + g1^12*t^3.51 + g1^20*t^3.851 + g1^96*t^4.083 + g1^62*t^4.137 + 3*g1^28*t^4.191 + (2*t^4.245)/g1^6 + t^4.299/g1^40 + g1^70*t^4.477 + 3*g1^36*t^4.531 + 2*g1^2*t^4.585 + t^4.639/g1^32 + 3*g1^44*t^4.871 + 3*g1^10*t^4.925 + (3*t^4.979)/g1^24 + 3*g1^18*t^5.266 + (3*t^5.32)/g1^16 + t^5.373/g1^50 + g1^60*t^5.552 + g1^26*t^5.606 + (4*t^5.66)/g1^8 + g1^68*t^5.892 + g1^34*t^5.946 - t^6. + t^6.054/g1^34 + g1^144*t^6.124 + g1^110*t^6.178 + 3*g1^76*t^6.232 + 4*g1^42*t^6.286 + 4*g1^8*t^6.34 + t^6.394/g1^26 + (2*t^6.448)/g1^60 + g1^118*t^6.519 + 3*g1^84*t^6.573 + 5*g1^50*t^6.627 + 6*g1^16*t^6.68 + (2*t^6.734)/g1^18 + t^6.788/g1^52 + 3*g1^92*t^6.913 + 5*g1^58*t^6.967 + 8*g1^24*t^7.021 + (4*t^7.075)/g1^10 + t^7.129/g1^44 + 4*g1^66*t^7.307 + 7*g1^32*t^7.361 + (4*t^7.415)/g1^2 + (3*t^7.469)/g1^36 + t^7.523/g1^70 + g1^108*t^7.593 + g1^74*t^7.647 + 6*g1^40*t^7.701 + 5*g1^6*t^7.755 + (4*t^7.809)/g1^28 + g1^116*t^7.934 + g1^82*t^7.988 + g1^48*t^8.041 + g1^14*t^8.095 + g1^192*t^8.166 + t^8.203/g1^54 + g1^158*t^8.22 + 3*g1^124*t^8.274 + 4*g1^90*t^8.328 + 7*g1^56*t^8.382 + (5*t^8.49)/g1^12 + t^8.544/g1^46 + g1^166*t^8.56 + (2*t^8.598)/g1^80 + 3*g1^132*t^8.614 + 5*g1^98*t^8.668 + 10*g1^64*t^8.722 + 6*g1^30*t^8.776 - t^8.83/g1^4 + (3*t^8.884)/g1^38 + t^8.938/g1^72 + 3*g1^140*t^8.954 - t^4.415/(g1^2*y) - (g1^46*t^6.456)/y - (g1^12*t^6.51)/y - t^6.564/(g1^22*y) - (g1^20*t^6.851)/y + (g1^62*t^7.137)/y + (2*g1^28*t^7.191)/y + (g1^70*t^7.477)/y + (2*g1^36*t^7.531)/y + (3*g1^2*t^7.585)/y + (2*g1^44*t^7.871)/y + (3*g1^10*t^7.925)/y + (3*t^7.979)/(g1^24*y) + (4*g1^18*t^8.266)/y + (4*t^8.32)/(g1^16*y) + (2*t^8.373)/(g1^50*y) - (g1^94*t^8.498)/y - (g1^26*t^8.606)/y + (2*t^8.66)/(g1^8*y) + (g1^34*t^8.946)/y - (t^4.415*y)/g1^2 - g1^46*t^6.456*y - g1^12*t^6.51*y - (t^6.564*y)/g1^22 - g1^20*t^6.851*y + g1^62*t^7.137*y + 2*g1^28*t^7.191*y + g1^70*t^7.477*y + 2*g1^36*t^7.531*y + 3*g1^2*t^7.585*y + 2*g1^44*t^7.871*y + 3*g1^10*t^7.925*y + (3*t^7.979*y)/g1^24 + 4*g1^18*t^8.266*y + (4*t^8.32*y)/g1^16 + (2*t^8.373*y)/g1^50 - g1^94*t^8.498*y - g1^26*t^8.606*y + (2*t^8.66*y)/g1^8 + g1^34*t^8.946*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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
4712 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6954 | 0.8893 | 0.7819 | [M:[1.0795, 0.8084, 1.0561, 0.8318, 1.1682, 0.9439, 0.6729, 0.6963], q:[0.5163, 0.4042], qb:[0.4276, 0.764], phi:[0.472]] | t^2.019 + t^2.089 + t^2.425 + t^2.495 + 2*t^2.832 + t^3.238 + t^3.505 + 2*t^3.841 + t^4.037 + t^4.107 + 2*t^4.178 + t^4.248 + t^4.444 + 3*t^4.514 + t^4.584 + 3*t^4.85 + 3*t^4.921 + t^4.991 + 3*t^5.257 + 3*t^5.327 + t^5.523 + t^5.593 + 3*t^5.664 + 2*t^5.86 + 2*t^5.93 - 2*t^6. - t^4.416/y - t^4.416*y | detail |