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 |
---|---|---|---|---|---|---|---|---|---|
3208 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{1}M_{6}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}M_{7}$ | 0.625 | 0.8125 | 0.7692 | [M:[1.2782, 0.8203, 0.9507, 1.1479, 0.8521, 0.7218, 0.8521], q:[0.3116, 0.4102], qb:[0.7377, 0.442], phi:[0.5246]] | [M:[[18], [-26], [4], [-12], [12], [-18], [12]], q:[[-5], [-13]], qb:[[1], [25]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{6}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }M_{5}$, ${ }M_{7}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{6}^{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{7}q_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{2}M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{7}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}q_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}^{3}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}q_{1}^{2}$, ${ }M_{6}\phi_{1}q_{1}q_{2}$ | ${}M_{5}\phi_{1}q_{1}^{2}$, ${ }M_{7}\phi_{1}q_{1}^{2}$, ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{2}$ | 1 | t^2.165 + t^2.261 + t^2.461 + 2*t^2.556 + t^2.852 + t^3.148 + t^3.444 + t^3.739 + t^3.835 + t^4.035 + t^4.13 + t^4.226 + t^4.331 + t^4.426 + t^4.521 + t^4.626 + 3*t^4.722 + 2*t^4.817 + t^4.922 + 3*t^5.017 + 4*t^5.113 + 2*t^5.313 + 3*t^5.409 + t^5.609 + 2*t^5.704 + t^5.905 + t^6. + 2*t^6.2 + 3*t^6.296 + 2*t^6.391 + t^6.487 + 2*t^6.496 + 4*t^6.591 + 3*t^6.687 + 3*t^6.782 + t^6.792 + 3*t^6.887 + 2*t^6.983 + 2*t^7.078 + t^7.087 + 4*t^7.183 + 4*t^7.278 + 4*t^7.374 + t^7.383 + 4*t^7.479 + 4*t^7.574 + 6*t^7.669 + 3*t^7.774 + 3*t^7.87 + 4*t^7.965 + t^8.06 + 2*t^8.07 + t^8.165 + 2*t^8.261 + t^8.356 + 2*t^8.366 + t^8.452 - t^8.556 + 3*t^8.661 + t^8.747 + 4*t^8.757 + t^8.852 + 3*t^8.948 + 2*t^8.957 - t^4.574/y - t^7.035/y - t^7.13/y + t^7.426/y + t^7.626/y + (3*t^7.722)/y + (2*t^7.817)/y + (4*t^8.017)/y + (3*t^8.113)/y + (2*t^8.313)/y + (3*t^8.409)/y + (2*t^8.609)/y + (3*t^8.704)/y + (2*t^8.905)/y - t^4.574*y - t^7.035*y - t^7.13*y + t^7.426*y + t^7.626*y + 3*t^7.722*y + 2*t^7.817*y + 4*t^8.017*y + 3*t^8.113*y + 2*t^8.313*y + 3*t^8.409*y + 2*t^8.609*y + 3*t^8.704*y + 2*t^8.905*y | t^2.165/g1^18 + g1^20*t^2.261 + t^2.461/g1^26 + 2*g1^12*t^2.556 + g1^4*t^2.852 + t^3.148/g1^4 + t^3.444/g1^12 + t^3.739/g1^20 + g1^18*t^3.835 + t^4.035/g1^28 + g1^10*t^4.13 + g1^48*t^4.226 + t^4.331/g1^36 + g1^2*t^4.426 + g1^40*t^4.521 + t^4.626/g1^44 + (3*t^4.722)/g1^6 + 2*g1^32*t^4.817 + t^4.922/g1^52 + (3*t^5.017)/g1^14 + 4*g1^24*t^5.113 + (2*t^5.313)/g1^22 + 3*g1^16*t^5.409 + t^5.609/g1^30 + 2*g1^8*t^5.704 + t^5.905/g1^38 + t^6. + (2*t^6.2)/g1^46 + (3*t^6.296)/g1^8 + 2*g1^30*t^6.391 + g1^68*t^6.487 + (2*t^6.496)/g1^54 + (4*t^6.591)/g1^16 + 3*g1^22*t^6.687 + 3*g1^60*t^6.782 + t^6.792/g1^62 + (3*t^6.887)/g1^24 + 2*g1^14*t^6.983 + 2*g1^52*t^7.078 + t^7.087/g1^70 + (4*t^7.183)/g1^32 + 4*g1^6*t^7.278 + 4*g1^44*t^7.374 + t^7.383/g1^78 + (4*t^7.479)/g1^40 + (4*t^7.574)/g1^2 + 6*g1^36*t^7.669 + (3*t^7.774)/g1^48 + (3*t^7.87)/g1^10 + 4*g1^28*t^7.965 + g1^66*t^8.06 + (2*t^8.07)/g1^56 + t^8.165/g1^18 + 2*g1^20*t^8.261 + g1^58*t^8.356 + (2*t^8.366)/g1^64 + g1^96*t^8.452 - g1^12*t^8.556 + (3*t^8.661)/g1^72 + g1^88*t^8.747 + (4*t^8.757)/g1^34 + g1^4*t^8.852 + 3*g1^42*t^8.948 + (2*t^8.957)/g1^80 - t^4.574/(g1^2*y) - t^7.035/(g1^28*y) - (g1^10*t^7.13)/y + (g1^2*t^7.426)/y + t^7.626/(g1^44*y) + (3*t^7.722)/(g1^6*y) + (2*g1^32*t^7.817)/y + (4*t^8.017)/(g1^14*y) + (3*g1^24*t^8.113)/y + (2*t^8.313)/(g1^22*y) + (3*g1^16*t^8.409)/y + (2*t^8.609)/(g1^30*y) + (3*g1^8*t^8.704)/y + (2*t^8.905)/(g1^38*y) - (t^4.574*y)/g1^2 - (t^7.035*y)/g1^28 - g1^10*t^7.13*y + g1^2*t^7.426*y + (t^7.626*y)/g1^44 + (3*t^7.722*y)/g1^6 + 2*g1^32*t^7.817*y + (4*t^8.017*y)/g1^14 + 3*g1^24*t^8.113*y + (2*t^8.313*y)/g1^22 + 3*g1^16*t^8.409*y + (2*t^8.609*y)/g1^30 + 3*g1^8*t^8.704*y + (2*t^8.905*y)/g1^38 |
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 |
---|---|---|---|---|---|---|---|---|
5102 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{1}M_{6}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}M_{7}$ + ${ }M_{8}\phi_{1}q_{1}^{2}$ | 0.6381 | 0.8353 | 0.764 | [M:[1.2695, 0.8329, 0.9488, 1.1537, 0.8463, 0.7305, 0.8463, 0.8463], q:[0.314, 0.4165], qb:[0.7372, 0.4299], phi:[0.5256]] | t^2.191 + t^2.232 + t^2.499 + 3*t^2.539 + t^2.846 + t^3.154 + t^3.768 + t^3.809 + t^4.076 + t^4.116 + t^4.156 + t^4.383 + t^4.423 + t^4.463 + t^4.69 + 4*t^4.73 + 3*t^4.771 + t^4.998 + 4*t^5.038 + 7*t^5.078 + 2*t^5.345 + 4*t^5.385 + 2*t^5.693 - t^6. - t^4.577/y - t^4.577*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 |
---|---|---|---|---|---|---|---|---|---|
2111 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{1}M_{6}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ | 0.6123 | 0.7909 | 0.7741 | [M:[1.2873, 0.8072, 0.9527, 1.1418, 0.8582, 0.7127], q:[0.3091, 0.4036], qb:[0.7382, 0.4546], phi:[0.5236]] | t^2.138 + t^2.291 + t^2.422 + t^2.575 + t^2.858 + t^3.142 + 2*t^3.425 + t^3.709 + t^3.862 + t^3.992 + t^4.146 + t^4.276 + t^4.299 + t^4.429 + t^4.56 + t^4.582 + 2*t^4.713 + t^4.843 + t^4.866 + 2*t^4.996 + 2*t^5.149 + 2*t^5.28 + 2*t^5.433 + 2*t^5.563 + 2*t^5.716 + 2*t^5.847 + t^6. - t^4.571/y - t^4.571*y | detail |