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 |
---|---|---|---|---|---|---|---|---|---|
48301 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ | 0.6596 | 0.817 | 0.8073 | [M:[1.1276, 0.7366, 0.8724, 0.8724, 0.8272], q:[0.5041, 0.3683], qb:[0.7593, 0.8045], phi:[0.3909]] | [M:[[-16], [-14], [16], [16], [6]], q:[[23], [-7]], qb:[[-9], [1]], phi:[[-2]]] |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{3}$, ${ }M_{4}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}^{4}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{5}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$ | ${}$ | -1 | t^2.21 + t^2.346 + t^2.481 + 2*t^2.617 + t^3.383 + t^3.79 + t^3.926 + t^4.198 + t^4.42 + 2*t^4.556 + 3*t^4.691 + 2*t^4.827 + 4*t^4.963 + 2*t^5.099 + 2*t^5.235 + 2*t^5.728 - t^6. + t^6.136 + t^6.272 + 2*t^6.407 + 3*t^6.543 + t^6.63 + t^6.679 + t^6.765 + 2*t^6.815 + 3*t^6.901 + 3*t^7.037 + 4*t^7.173 + 5*t^7.309 + 4*t^7.444 + 5*t^7.58 + 2*t^7.716 + 2*t^7.852 + t^7.938 + t^7.988 + t^8.074 + t^8.124 - 3*t^8.21 - t^8.346 + t^8.395 - 2*t^8.481 - 3*t^8.617 + 2*t^8.753 + t^8.839 + 4*t^8.889 + t^8.975 - t^4.173/y - t^6.383/y - t^6.519/y - t^6.654/y - t^6.79/y + (2*t^7.556)/y + (2*t^7.691)/y + (4*t^7.827)/y + (3*t^7.963)/y + (2*t^8.099)/y + t^8.235/y - t^8.864/y - t^4.173*y - t^6.383*y - t^6.519*y - t^6.654*y - t^6.79*y + 2*t^7.556*y + 2*t^7.691*y + 4*t^7.827*y + 3*t^7.963*y + 2*t^8.099*y + t^8.235*y - t^8.864*y | t^2.21/g1^14 + t^2.346/g1^4 + g1^6*t^2.481 + 2*g1^16*t^2.617 + t^3.383/g1^16 + g1^14*t^3.79 + g1^24*t^3.926 + g1^44*t^4.198 + t^4.42/g1^28 + (2*t^4.556)/g1^18 + (3*t^4.691)/g1^8 + 2*g1^2*t^4.827 + 4*g1^12*t^4.963 + 2*g1^22*t^5.099 + 2*g1^32*t^5.235 + (2*t^5.728)/g1^20 - t^6. + g1^10*t^6.136 + g1^20*t^6.272 + 2*g1^30*t^6.407 + 3*g1^40*t^6.543 + t^6.63/g1^42 + g1^50*t^6.679 + t^6.765/g1^32 + 2*g1^60*t^6.815 + (3*t^6.901)/g1^22 + (3*t^7.037)/g1^12 + (4*t^7.173)/g1^2 + 5*g1^8*t^7.309 + 4*g1^18*t^7.444 + 5*g1^28*t^7.58 + 2*g1^38*t^7.716 + 2*g1^48*t^7.852 + t^7.938/g1^34 + g1^58*t^7.988 + t^8.074/g1^24 + g1^68*t^8.124 - (3*t^8.21)/g1^14 - t^8.346/g1^4 + g1^88*t^8.395 - 2*g1^6*t^8.481 - 3*g1^16*t^8.617 + 2*g1^26*t^8.753 + t^8.839/g1^56 + 4*g1^36*t^8.889 + t^8.975/g1^46 - t^4.173/(g1^2*y) - t^6.383/(g1^16*y) - t^6.519/(g1^6*y) - (g1^4*t^6.654)/y - (g1^14*t^6.79)/y + (2*t^7.556)/(g1^18*y) + (2*t^7.691)/(g1^8*y) + (4*g1^2*t^7.827)/y + (3*g1^12*t^7.963)/y + (2*g1^22*t^8.099)/y + (g1^32*t^8.235)/y - t^8.864/(g1^10*y) - (t^4.173*y)/g1^2 - (t^6.383*y)/g1^16 - (t^6.519*y)/g1^6 - g1^4*t^6.654*y - g1^14*t^6.79*y + (2*t^7.556*y)/g1^18 + (2*t^7.691*y)/g1^8 + 4*g1^2*t^7.827*y + 3*g1^12*t^7.963*y + 2*g1^22*t^8.099*y + g1^32*t^8.235*y - (t^8.864*y)/g1^10 |
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 |
---|---|---|---|---|---|---|---|---|
54671 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{1}q_{2}$ | 0.6793 | 0.8531 | 0.7963 | [M:[1.1215, 0.7313, 0.8785, 0.8785, 0.8294, 0.7313], q:[0.5128, 0.3657], qb:[0.7558, 0.8049], phi:[0.3902]] | 2*t^2.194 + t^2.341 + t^2.488 + 2*t^2.636 + t^3.364 + t^3.953 + t^4.248 + 3*t^4.388 + 3*t^4.535 + 4*t^4.682 + 4*t^4.829 + 4*t^4.977 + 2*t^5.124 + 2*t^5.271 + t^5.558 + 2*t^5.706 - 2*t^6. - t^4.171/y - t^4.171*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 |
---|---|---|---|---|---|---|---|---|---|
46655 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ | 0.645 | 0.7913 | 0.8151 | [M:[1.1221, 0.7318, 0.8779, 0.8779], q:[0.512, 0.3659], qb:[0.7562, 0.8049], phi:[0.3903]] | t^2.195 + t^2.342 + 2*t^2.634 + t^3.366 + t^3.512 + t^3.805 + t^3.951 + t^4.243 + t^4.391 + 2*t^4.537 + 2*t^4.683 + t^4.829 + 3*t^4.975 + 2*t^5.267 + 3*t^5.708 - t^6. - t^4.171/y - t^4.171*y | detail |