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 |
---|---|---|---|---|---|---|---|---|---|
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]] | [M:[[18], [-2], [28], [-12], [12], [-12]], q:[[-17], [-1]], qb:[[-11], [13]], phi:[[4]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{4}$, ${ }M_{6}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{2}^{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ | ${}\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$ | 0 | 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 + 2*t^6.11 + 2*t^6.219 + t^6.28 + 2*t^6.329 + t^6.389 + 2*t^6.499 + 3*t^6.609 + 5*t^6.718 + 5*t^6.828 + 7*t^6.937 + 5*t^7.047 + 7*t^7.156 + 4*t^7.266 + 5*t^7.375 + 2*t^7.485 + 4*t^7.594 + t^7.765 + t^7.874 + t^7.984 - t^8.093 - t^8.312 + t^8.373 - t^8.422 + t^8.483 - 2*t^8.531 + 2*t^8.592 + 2*t^8.641 + 3*t^8.702 + 2*t^8.751 + 6*t^8.811 + 3*t^8.86 + 6*t^8.921 - t^4.156/y - t^6.249/y - t^6.359/y - t^6.469/y - t^6.578/y - t^6.688/y + t^7.296/y + t^7.406/y + (2*t^7.515)/y + (4*t^7.625)/y + (4*t^7.734)/y + (3*t^7.844)/y + (3*t^7.953)/y + (2*t^8.063)/y - t^8.343/y - t^8.452/y - (2*t^8.562)/y - t^8.671/y - t^8.781/y + t^8.89/y - t^4.156*y - t^6.249*y - t^6.359*y - t^6.469*y - t^6.578*y - t^6.688*y + t^7.296*y + t^7.406*y + 2*t^7.515*y + 4*t^7.625*y + 4*t^7.734*y + 3*t^7.844*y + 3*t^7.953*y + 2*t^8.063*y - t^8.343*y - t^8.452*y - 2*t^8.562*y - t^8.671*y - t^8.781*y + t^8.89*y | g1^28*t^2.093 + g1^18*t^2.203 + g1^8*t^2.312 + t^2.422/g1^2 + (2*t^2.531)/g1^12 + g1^2*t^3.578 + t^3.688/g1^8 + t^3.797/g1^18 + g1^56*t^4.187 + g1^46*t^4.296 + 2*g1^36*t^4.406 + 2*g1^26*t^4.515 + 4*g1^16*t^4.625 + 3*g1^6*t^4.734 + (4*t^4.844)/g1^4 + (2*t^4.953)/g1^14 + (3*t^5.063)/g1^24 + g1^30*t^5.671 + g1^20*t^5.781 + g1^10*t^5.89 + (2*t^6.11)/g1^10 + (2*t^6.219)/g1^20 + g1^84*t^6.28 + (2*t^6.329)/g1^30 + g1^74*t^6.389 + 2*g1^64*t^6.499 + 3*g1^54*t^6.609 + 5*g1^44*t^6.718 + 5*g1^34*t^6.828 + 7*g1^24*t^6.937 + 5*g1^14*t^7.047 + 7*g1^4*t^7.156 + (4*t^7.266)/g1^6 + (5*t^7.375)/g1^16 + (2*t^7.485)/g1^26 + (4*t^7.594)/g1^36 + g1^58*t^7.765 + g1^48*t^7.874 + g1^38*t^7.984 - g1^28*t^8.093 - g1^8*t^8.312 + g1^112*t^8.373 - t^8.422/g1^2 + g1^102*t^8.483 - (2*t^8.531)/g1^12 + 2*g1^92*t^8.592 + (2*t^8.641)/g1^22 + 3*g1^82*t^8.702 + (2*t^8.751)/g1^32 + 6*g1^72*t^8.811 + (3*t^8.86)/g1^42 + 6*g1^62*t^8.921 - (g1^4*t^4.156)/y - (g1^32*t^6.249)/y - (g1^22*t^6.359)/y - (g1^12*t^6.469)/y - (g1^2*t^6.578)/y - t^6.688/(g1^8*y) + (g1^46*t^7.296)/y + (g1^36*t^7.406)/y + (2*g1^26*t^7.515)/y + (4*g1^16*t^7.625)/y + (4*g1^6*t^7.734)/y + (3*t^7.844)/(g1^4*y) + (3*t^7.953)/(g1^14*y) + (2*t^8.063)/(g1^24*y) - (g1^60*t^8.343)/y - (g1^50*t^8.452)/y - (2*g1^40*t^8.562)/y - (g1^30*t^8.671)/y - (g1^20*t^8.781)/y + (g1^10*t^8.89)/y - g1^4*t^4.156*y - g1^32*t^6.249*y - g1^22*t^6.359*y - g1^12*t^6.469*y - g1^2*t^6.578*y - (t^6.688*y)/g1^8 + g1^46*t^7.296*y + g1^36*t^7.406*y + 2*g1^26*t^7.515*y + 4*g1^16*t^7.625*y + 4*g1^6*t^7.734*y + (3*t^7.844*y)/g1^4 + (3*t^7.953*y)/g1^14 + (2*t^8.063*y)/g1^24 - g1^60*t^8.343*y - g1^50*t^8.452*y - 2*g1^40*t^8.562*y - g1^30*t^8.671*y - g1^20*t^8.781*y + g1^10*t^8.89*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 |
---|---|---|---|---|---|---|---|---|
3878 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6885 | 0.881 | 0.7815 | [M:[0.7282, 0.808, 0.6883, 0.8479, 1.1521, 0.8479, 0.7681], q:[0.8678, 0.404], qb:[0.4439, 0.7481], phi:[0.384]] | t^2.065 + t^2.185 + 2*t^2.304 + t^2.424 + 2*t^2.544 + t^3.576 + t^3.815 + t^4.13 + t^4.25 + 3*t^4.369 + 3*t^4.489 + 6*t^4.609 + 4*t^4.728 + 6*t^4.848 + 2*t^4.968 + 3*t^5.087 + t^5.641 + t^5.88 - t^6. - t^4.152/y - t^4.152*y | detail | |
3875 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 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]] | 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^4.158/y - t^4.158*y | detail | |
3880 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6901 | 0.8854 | 0.7795 | [M:[0.7257, 0.8083, 0.6845, 0.8495, 1.1505, 0.8495, 0.7257], q:[0.8701, 0.4041], qb:[0.4454, 0.7464], phi:[0.3835]] | t^2.053 + 2*t^2.177 + t^2.301 + t^2.425 + 2*t^2.549 + t^3.575 + t^3.699 + t^4.107 + 2*t^4.231 + 4*t^4.354 + 3*t^4.478 + 5*t^4.602 + 5*t^4.726 + 4*t^4.85 + 2*t^4.973 + 3*t^5.097 + t^5.629 + 2*t^5.752 + t^5.876 - t^6. - t^4.15/y - t^4.15*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 |
---|---|---|---|---|---|---|---|---|---|
2841 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ | 0.6571 | 0.8263 | 0.7953 | [M:[0.7201, 0.8089, 0.6757, 0.8533, 1.1467], q:[0.8754, 0.4044], qb:[0.4488, 0.7423], phi:[0.3822]] | t^2.027 + t^2.16 + t^2.293 + t^2.427 + t^2.56 + t^3.44 + t^3.573 + t^3.707 + t^3.84 + t^4.054 + t^4.188 + 2*t^4.321 + 2*t^4.454 + 3*t^4.587 + 2*t^4.72 + 3*t^4.853 + t^4.986 + t^5.12 + t^5.467 + 2*t^5.601 + 2*t^5.734 + 2*t^5.867 + t^6. - t^4.147/y - t^4.147*y | detail |