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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3875 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 0.6864 | 0.8761 | 0.7835 | [M:[0.7363, 0.8071, 0.7008, 0.8425, 1.1575, 0.8425, 0.8071], q:[0.8602, 0.4035], qb:[0.439, 0.754], phi:[0.3858]] | [M:[[18], [-2], [28], [-12], [12], [-12], [-2]], q:[[-17], [-1]], qb:[[-11], [13]], phi:[[4]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{3}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{7}$, ${ }M_{4}$, ${ }M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}M_{7}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{6}$, ${ }M_{1}M_{7}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{6}$, ${ }M_{4}M_{7}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$ | ${}\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$ | -1 | t^2.103 + t^2.209 + t^2.315 + 2*t^2.421 + 2*t^2.527 + t^3.685 + t^3.791 + t^4.205 + t^4.311 + 2*t^4.418 + 3*t^4.524 + 5*t^4.63 + 4*t^4.736 + 6*t^4.842 + 4*t^4.949 + 3*t^5.055 - t^6. + t^6.106 + 3*t^6.212 + t^6.308 + 2*t^6.319 + t^6.414 + 2*t^6.52 + 4*t^6.626 + 6*t^6.733 + 7*t^6.839 + 10*t^6.945 + 10*t^7.051 + 10*t^7.158 + 9*t^7.264 + 8*t^7.37 + 5*t^7.476 + 4*t^7.582 - t^7.996 - 3*t^8.103 - 4*t^8.209 - 4*t^8.315 + t^8.41 - 6*t^8.421 + t^8.516 - 3*t^8.527 + 2*t^8.623 + 2*t^8.634 + 4*t^8.729 + 4*t^8.74 + 7*t^8.835 + 3*t^8.846 + 8*t^8.941 - t^4.158/y - t^6.26/y - t^6.366/y - t^6.473/y - (2*t^6.579)/y - t^6.685/y + t^7.311/y + t^7.418/y + (3*t^7.524)/y + (5*t^7.63)/y + (6*t^7.736)/y + (4*t^7.842)/y + (5*t^7.949)/y + (2*t^8.055)/y - t^8.363/y - t^8.469/y - (2*t^8.575)/y - (3*t^8.681)/y - (3*t^8.788)/y - t^8.894/y - t^4.158*y - t^6.26*y - t^6.366*y - t^6.473*y - 2*t^6.579*y - t^6.685*y + t^7.311*y + t^7.418*y + 3*t^7.524*y + 5*t^7.63*y + 6*t^7.736*y + 4*t^7.842*y + 5*t^7.949*y + 2*t^8.055*y - t^8.363*y - t^8.469*y - 2*t^8.575*y - 3*t^8.681*y - 3*t^8.788*y - t^8.894*y | g1^28*t^2.103 + g1^18*t^2.209 + g1^8*t^2.315 + (2*t^2.421)/g1^2 + (2*t^2.527)/g1^12 + t^3.685/g1^8 + t^3.791/g1^18 + g1^56*t^4.205 + g1^46*t^4.311 + 2*g1^36*t^4.418 + 3*g1^26*t^4.524 + 5*g1^16*t^4.63 + 4*g1^6*t^4.736 + (6*t^4.842)/g1^4 + (4*t^4.949)/g1^14 + (3*t^5.055)/g1^24 - t^6. + t^6.106/g1^10 + (3*t^6.212)/g1^20 + g1^84*t^6.308 + (2*t^6.319)/g1^30 + g1^74*t^6.414 + 2*g1^64*t^6.52 + 4*g1^54*t^6.626 + 6*g1^44*t^6.733 + 7*g1^34*t^6.839 + 10*g1^24*t^6.945 + 10*g1^14*t^7.051 + 10*g1^4*t^7.158 + (9*t^7.264)/g1^6 + (8*t^7.37)/g1^16 + (5*t^7.476)/g1^26 + (4*t^7.582)/g1^36 - g1^38*t^7.996 - 3*g1^28*t^8.103 - 4*g1^18*t^8.209 - 4*g1^8*t^8.315 + g1^112*t^8.41 - (6*t^8.421)/g1^2 + g1^102*t^8.516 - (3*t^8.527)/g1^12 + 2*g1^92*t^8.623 + (2*t^8.634)/g1^22 + 4*g1^82*t^8.729 + (4*t^8.74)/g1^32 + 7*g1^72*t^8.835 + (3*t^8.846)/g1^42 + 8*g1^62*t^8.941 - (g1^4*t^4.158)/y - (g1^32*t^6.26)/y - (g1^22*t^6.366)/y - (g1^12*t^6.473)/y - (2*g1^2*t^6.579)/y - t^6.685/(g1^8*y) + (g1^46*t^7.311)/y + (g1^36*t^7.418)/y + (3*g1^26*t^7.524)/y + (5*g1^16*t^7.63)/y + (6*g1^6*t^7.736)/y + (4*t^7.842)/(g1^4*y) + (5*t^7.949)/(g1^14*y) + (2*t^8.055)/(g1^24*y) - (g1^60*t^8.363)/y - (g1^50*t^8.469)/y - (2*g1^40*t^8.575)/y - (3*g1^30*t^8.681)/y - (3*g1^20*t^8.788)/y - (g1^10*t^8.894)/y - g1^4*t^4.158*y - g1^32*t^6.26*y - g1^22*t^6.366*y - g1^12*t^6.473*y - 2*g1^2*t^6.579*y - (t^6.685*y)/g1^8 + g1^46*t^7.311*y + g1^36*t^7.418*y + 3*g1^26*t^7.524*y + 5*g1^16*t^7.63*y + 6*g1^6*t^7.736*y + (4*t^7.842*y)/g1^4 + (5*t^7.949*y)/g1^14 + (2*t^8.055*y)/g1^24 - g1^60*t^8.363*y - g1^50*t^8.469*y - 2*g1^40*t^8.575*y - 3*g1^30*t^8.681*y - 3*g1^20*t^8.788*y - g1^10*t^8.894*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 |
---|---|---|---|---|---|---|---|---|---|
3392 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{5}M_{6}$ | 0.6704 | 0.8481 | 0.7904 | [M:[0.7343, 0.8073, 0.6978, 0.8438, 1.1562, 0.8438], q:[0.8621, 0.4037], qb:[0.4402, 0.7525], phi:[0.3854]] | t^2.093 + t^2.203 + t^2.312 + t^2.422 + 2*t^2.531 + t^3.578 + t^3.688 + t^3.797 + t^4.187 + t^4.296 + 2*t^4.406 + 2*t^4.515 + 4*t^4.625 + 3*t^4.734 + 4*t^4.844 + 2*t^4.953 + 3*t^5.063 + t^5.671 + t^5.781 + t^5.89 - t^4.156/y - t^4.156*y | detail |