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 |
---|---|---|---|---|---|---|---|---|---|
3516 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}q_{2}\tilde{q}_{2}$ | 0.6734 | 0.8329 | 0.8084 | [M:[0.6829, 1.1057, 0.9729, 0.7371, 1.1057, 1.0271, 1.0514], q:[0.7764, 0.5407], qb:[0.4864, 0.4079], phi:[0.4471]] | [M:[[36], [-12], [22], [-8], [-12], [-22], [32]], q:[[-3], [-33]], qb:[[11], [1]], phi:[[6]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }M_{4}$, ${ }M_{6}$, ${ }M_{7}$, ${ }M_{2}$, ${ }M_{5}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{7}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{5}$, ${ }M_{4}M_{7}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{5}$ | ${}$ | -2 | t^2.049 + t^2.211 + t^3.081 + t^3.154 + 2*t^3.317 + t^3.553 + t^3.789 + t^4.024 + t^4.097 + t^4.187 + 2*t^4.26 + 2*t^4.423 + t^4.586 + t^5.13 + t^5.203 + t^5.293 + 3*t^5.366 + 2*t^5.529 - 2*t^6. + t^6.073 + t^6.146 + t^6.236 + 3*t^6.309 + 2*t^6.399 + 4*t^6.471 + 5*t^6.634 + t^6.797 + t^6.87 + t^7.179 + t^7.252 + 3*t^7.341 + 4*t^7.414 + 2*t^7.504 + 5*t^7.577 + t^7.667 + 3*t^7.74 + t^7.903 - 2*t^8.049 + t^8.122 + t^8.194 - 3*t^8.211 + 2*t^8.284 + 3*t^8.357 + 2*t^8.447 + 6*t^8.52 + 2*t^8.61 + 7*t^8.683 + t^8.773 + 5*t^8.846 - 2*t^8.919 - t^8.992 - t^4.341/y - t^6.39/y - t^6.553/y + t^7.024/y + t^7.187/y + t^7.26/y - t^7.496/y - t^7.659/y + (2*t^8.13)/y + t^8.203/y + (2*t^8.293)/y + (3*t^8.366)/y - t^8.439/y + (2*t^8.529)/y + t^8.837/y - t^4.341*y - t^6.39*y - t^6.553*y + t^7.024*y + t^7.187*y + t^7.26*y - t^7.496*y - t^7.659*y + 2*t^8.13*y + t^8.203*y + 2*t^8.293*y + 3*t^8.366*y - t^8.439*y + 2*t^8.529*y + t^8.837*y | g1^36*t^2.049 + t^2.211/g1^8 + t^3.081/g1^22 + g1^32*t^3.154 + (2*t^3.317)/g1^12 + t^3.553/g1^2 + g1^8*t^3.789 + g1^18*t^4.024 + g1^72*t^4.097 + t^4.187/g1^26 + 2*g1^28*t^4.26 + (2*t^4.423)/g1^16 + t^4.586/g1^60 + g1^14*t^5.13 + g1^68*t^5.203 + t^5.293/g1^30 + 3*g1^24*t^5.366 + (2*t^5.529)/g1^20 - 2*t^6. + g1^54*t^6.073 + g1^108*t^6.146 + g1^10*t^6.236 + 3*g1^64*t^6.309 + (2*t^6.399)/g1^34 + 4*g1^20*t^6.471 + (5*t^6.634)/g1^24 + t^6.797/g1^68 + t^6.87/g1^14 + g1^50*t^7.179 + g1^104*t^7.252 + 3*g1^6*t^7.341 + 4*g1^60*t^7.414 + (2*t^7.504)/g1^38 + 5*g1^16*t^7.577 + t^7.667/g1^82 + (3*t^7.74)/g1^28 + t^7.903/g1^72 - 2*g1^36*t^8.049 + g1^90*t^8.122 + g1^144*t^8.194 - (3*t^8.211)/g1^8 + 2*g1^46*t^8.284 + 3*g1^100*t^8.357 + 2*g1^2*t^8.447 + 6*g1^56*t^8.52 + (2*t^8.61)/g1^42 + 7*g1^12*t^8.683 + t^8.773/g1^86 + (5*t^8.846)/g1^32 - 2*g1^22*t^8.919 - g1^76*t^8.992 - (g1^6*t^4.341)/y - (g1^42*t^6.39)/y - t^6.553/(g1^2*y) + (g1^18*t^7.024)/y + t^7.187/(g1^26*y) + (g1^28*t^7.26)/y - (g1^38*t^7.496)/y - t^7.659/(g1^6*y) + (2*g1^14*t^8.13)/y + (g1^68*t^8.203)/y + (2*t^8.293)/(g1^30*y) + (3*g1^24*t^8.366)/y - (g1^78*t^8.439)/y + (2*t^8.529)/(g1^20*y) + (g1^44*t^8.837)/y - g1^6*t^4.341*y - g1^42*t^6.39*y - (t^6.553*y)/g1^2 + g1^18*t^7.024*y + (t^7.187*y)/g1^26 + g1^28*t^7.26*y - g1^38*t^7.496*y - (t^7.659*y)/g1^6 + 2*g1^14*t^8.13*y + g1^68*t^8.203*y + (2*t^8.293*y)/g1^30 + 3*g1^24*t^8.366*y - g1^78*t^8.439*y + (2*t^8.529*y)/g1^20 + g1^44*t^8.837*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 |
---|---|---|---|---|---|---|---|---|
5180 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}q_{2}\tilde{q}_{2}$ + ${ }M_{8}q_{1}\tilde{q}_{2}$ | 0.6889 | 0.86 | 0.801 | [M:[0.6811, 1.1063, 0.9718, 0.7375, 1.1063, 1.0282, 1.0498, 0.8156], q:[0.7766, 0.5424], qb:[0.4859, 0.4078], phi:[0.4468]] | t^2.043 + t^2.213 + t^2.447 + t^3.085 + t^3.15 + 2*t^3.319 + t^3.787 + t^4.022 + t^4.086 + t^4.191 + 2*t^4.256 + 2*t^4.425 + t^4.49 + t^4.595 + t^4.659 + t^4.894 + t^5.128 + t^5.193 + t^5.297 + 3*t^5.362 + 3*t^5.532 + t^5.766 - 2*t^6. - t^4.341/y - t^4.341*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 |
---|---|---|---|---|---|---|---|---|---|
2926 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{3}M_{6}$ | 0.6797 | 0.8443 | 0.8051 | [M:[0.7219, 1.0927, 0.9967, 0.7285, 1.0927, 1.0033], q:[0.7732, 0.5049], qb:[0.4984, 0.4089], phi:[0.4536]] | t^2.166 + t^2.185 + t^2.742 + t^3.01 + 2*t^3.278 + t^3.546 + t^3.815 + t^4.083 + t^4.103 + t^4.331 + 2*t^4.351 + 2*t^4.371 + t^4.391 + t^4.907 + t^4.927 + t^5.176 + t^5.195 + 2*t^5.444 + 2*t^5.464 + t^5.483 + t^5.751 - 2*t^6. - t^4.361/y - t^4.361*y | detail |