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 |
---|---|---|---|---|---|---|---|---|---|
46858 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{1}M_{5}$ | 0.6539 | 0.8024 | 0.8149 | [M:[1.1468, 0.9817, 1.0826, 0.8532, 0.8532], q:[0.477, 0.3762], qb:[0.5413, 0.7706], phi:[0.4587]] | [M:[[-5], [-13], [4], [5], [5]], q:[[11], [-6]], qb:[[2], [1]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{3}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{2}^{2}$ | ${}$ | -2 | 2*t^2.56 + t^2.752 + t^2.945 + t^3.248 + t^3.633 + t^3.743 + 2*t^3.936 + t^4.128 + t^4.238 + t^4.431 + t^4.624 + 3*t^5.119 + 2*t^5.312 + 2*t^5.505 + t^5.807 + t^5.89 - 2*t^6. + t^6.193 + t^6.303 + t^6.385 + 3*t^6.495 + t^6.578 + 2*t^6.688 + 2*t^6.798 + t^6.881 + 3*t^6.991 + 2*t^7.183 + t^7.266 + t^7.486 + t^7.569 + 4*t^7.679 + t^7.762 + 4*t^7.872 + t^7.981 + 3*t^8.064 + 2*t^8.174 + t^8.257 + 2*t^8.367 + t^8.45 + t^8.477 - 4*t^8.56 + t^8.669 - t^8.752 + t^8.835 + 2*t^8.862 - 2*t^8.945 - t^4.376/y - t^6.936/y - t^7.321/y + t^7.431/y + t^7.817/y + t^8.119/y + (2*t^8.312)/y + (2*t^8.505)/y + t^8.697/y + (2*t^8.807)/y - t^4.376*y - t^6.936*y - t^7.321*y + t^7.431*y + t^7.817*y + t^8.119*y + 2*t^8.312*y + 2*t^8.505*y + t^8.697*y + 2*t^8.807*y | 2*g1^5*t^2.56 + t^2.752/g1^4 + t^2.945/g1^13 + g1^4*t^3.248 + t^3.633/g1^14 + g1^12*t^3.743 + 2*g1^3*t^3.936 + t^4.128/g1^6 + g1^20*t^4.238 + g1^11*t^4.431 + g1^2*t^4.624 + 3*g1^10*t^5.119 + 2*g1*t^5.312 + (2*t^5.505)/g1^8 + g1^9*t^5.807 + t^5.89/g1^26 - 2*t^6. + t^6.193/g1^9 + g1^17*t^6.303 + t^6.385/g1^18 + 3*g1^8*t^6.495 + t^6.578/g1^27 + (2*t^6.688)/g1 + 2*g1^25*t^6.798 + t^6.881/g1^10 + 3*g1^16*t^6.991 + 2*g1^7*t^7.183 + t^7.266/g1^28 + g1^24*t^7.486 + t^7.569/g1^11 + 4*g1^15*t^7.679 + t^7.762/g1^20 + 4*g1^6*t^7.872 + g1^32*t^7.981 + (3*t^8.064)/g1^3 + 2*g1^23*t^8.174 + t^8.257/g1^12 + 2*g1^14*t^8.367 + t^8.45/g1^21 + g1^40*t^8.477 - 4*g1^5*t^8.56 + g1^31*t^8.669 - t^8.752/g1^4 + t^8.835/g1^39 + 2*g1^22*t^8.862 - (2*t^8.945)/g1^13 - t^4.376/(g1^2*y) - (g1^3*t^6.936)/y - t^7.321/(g1^15*y) + (g1^11*t^7.431)/y + t^7.817/(g1^7*y) + (g1^10*t^8.119)/y + (2*g1*t^8.312)/y + (2*t^8.505)/(g1^8*y) + t^8.697/(g1^17*y) + (2*g1^9*t^8.807)/y - (t^4.376*y)/g1^2 - g1^3*t^6.936*y - (t^7.321*y)/g1^15 + g1^11*t^7.431*y + (t^7.817*y)/g1^7 + g1^10*t^8.119*y + 2*g1*t^8.312*y + (2*t^8.505*y)/g1^8 + (t^8.697*y)/g1^17 + 2*g1^9*t^8.807*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 |
---|---|---|---|---|---|---|---|---|
53460 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.6718 | 0.836 | 0.8036 | [M:[1.1569, 1.0078, 1.0745, 0.8431, 0.8431, 0.7608], q:[0.4549, 0.3882], qb:[0.5373, 0.7686], phi:[0.4627]] | t^2.282 + 2*t^2.529 + t^2.776 + t^3.023 + t^3.224 + t^3.671 + 2*t^3.918 + t^4.118 + t^4.165 + t^4.365 + t^4.565 + t^4.612 + 2*t^4.812 + 4*t^5.059 + 3*t^5.306 + t^5.506 + 2*t^5.553 + t^5.753 + t^5.953 - 2*t^6. - t^4.388/y - t^4.388*y | detail | |
55270 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.6732 | 0.8376 | 0.8036 | [M:[1.1401, 0.9644, 1.0879, 0.8599, 0.8599, 0.7364], q:[0.4917, 0.3682], qb:[0.5439, 0.772], phi:[0.4561]] | t^2.209 + 2*t^2.58 + t^2.736 + t^2.893 + t^3.264 + t^3.577 + 2*t^3.948 + t^4.105 + t^4.318 + t^4.418 + t^4.475 + t^4.632 + 2*t^4.789 + t^4.945 + t^5.102 + 3*t^5.159 + 2*t^5.316 + 3*t^5.473 + 2*t^5.786 + t^5.843 - 2*t^6. - t^4.368/y - t^4.368*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 |
---|---|---|---|---|---|---|---|---|---|
46796 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ | 0.6412 | 0.7805 | 0.8216 | [M:[1.1407, 0.9659, 1.0874, 0.8593], q:[0.4904, 0.3689], qb:[0.5437, 0.7719], phi:[0.4563]] | t^2.578 + t^2.738 + t^2.898 + t^3.262 + t^3.422 + t^3.582 + t^3.787 + 2*t^3.947 + t^4.107 + t^4.311 + t^4.471 + t^4.631 + t^5.156 + t^5.316 + t^5.475 + t^5.795 - t^6. - t^4.369/y - t^4.369*y | detail |