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 |
---|---|---|---|---|---|---|---|---|---|
57392 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | 1.446 | 1.6242 | 0.8902 | [X:[1.37], M:[0.9275], q:[0.5108, 0.476], qb:[0.5617, 0.5617], phi:[0.315]] | [X:[[0, 6]], M:[[1, -17]], q:[[-1, 16], [1, 0]], qb:[[0, 1], [0, 1]], phi:[[0, -3]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }\phi_{1}^{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}^{6}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$ | ${}$ | -3 | t^2.783 + t^2.835 + 2*t^3.113 + t^3.217 + 2*t^4.058 + t^4.11 + 2*t^4.162 + 2*t^5.003 + 2*t^5.107 + t^5.333 + t^5.438 + t^5.565 + t^5.618 + t^5.67 + t^5.896 + 2*t^5.948 - 3*t^6. + t^6.052 - t^6.104 + 3*t^6.226 + t^6.278 + 2*t^6.33 + t^6.382 + t^6.435 + t^6.84 + 3*t^6.893 + 2*t^6.997 - t^7.049 + t^7.119 + 4*t^7.171 + 3*t^7.223 + 4*t^7.275 + 2*t^7.327 + 2*t^7.38 + t^7.432 + t^7.785 + t^7.838 + 2*t^7.89 + t^7.942 - t^7.994 + 6*t^8.116 + t^8.168 + 7*t^8.22 + t^8.272 + 3*t^8.325 + t^8.348 + t^8.4 + 2*t^8.446 + t^8.452 + t^8.505 + 3*t^8.55 + t^8.655 + t^8.678 + t^8.73 - 3*t^8.783 - 2*t^8.835 - 2*t^8.887 - t^8.939 + t^8.835/y^2 - t^3.945/y - t^4.89/y - t^6.728/y - t^6.78/y - (2*t^7.058)/y - t^7.162/y - t^7.673/y - t^7.725/y - (2*t^8.003)/y - t^8.107/y + t^8.618/y + (2*t^8.896)/y - t^3.945*y - t^4.89*y - t^6.728*y - t^6.78*y - 2*t^7.058*y - t^7.162*y - t^7.673*y - t^7.725*y - 2*t^8.003*y - t^8.107*y + t^8.618*y + 2*t^8.896*y + t^8.835*y^2 | (g1*t^2.783)/g2^17 + t^2.835/g2^9 + 2*g1*g2*t^3.113 + (g2^17*t^3.217)/g1 + (2*g1*t^4.058)/g2^2 + g2^6*t^4.11 + (2*g2^14*t^4.162)/g1 + (2*g1*t^5.003)/g2^5 + (2*g2^11*t^5.107)/g1 + g1*g2^13*t^5.333 + (g2^29*t^5.438)/g1 + (g1^2*t^5.565)/g2^34 + (g1*t^5.618)/g2^26 + t^5.67/g2^18 + (g1^2*t^5.896)/g2^16 + (2*g1*t^5.948)/g2^8 - 3*t^6. + (g2^8*t^6.052)/g1 - (g2^16*t^6.104)/g1^2 + 3*g1^2*g2^2*t^6.226 + g1*g2^10*t^6.278 + 2*g2^18*t^6.33 + (g2^26*t^6.382)/g1 + (g2^34*t^6.435)/g1^2 + (g1^2*t^6.84)/g2^19 + (3*g1*t^6.893)/g2^11 + (2*g2^5*t^6.997)/g1 - (g2^13*t^7.049)/g1^2 + (g1^3*t^7.119)/g2^9 + (4*g1^2*t^7.171)/g2 + 3*g1*g2^7*t^7.223 + 4*g2^15*t^7.275 + (2*g2^23*t^7.327)/g1 + (2*g2^31*t^7.38)/g1^2 + (g2^39*t^7.432)/g1^3 + (g1^2*t^7.785)/g2^22 + (g1*t^7.838)/g2^14 + (2*t^7.89)/g2^6 + (g2^2*t^7.942)/g1 - (g2^10*t^7.994)/g1^2 + (6*g1^2*t^8.116)/g2^4 + g1*g2^4*t^8.168 + 7*g2^12*t^8.22 + (g2^20*t^8.272)/g1 + (3*g2^28*t^8.325)/g1^2 + (g1^3*t^8.348)/g2^51 + (g1^2*t^8.4)/g2^43 + 2*g1^2*g2^14*t^8.446 + (g1*t^8.452)/g2^35 + t^8.505/g2^27 + 3*g2^30*t^8.55 + (g2^46*t^8.655)/g1^2 + (g1^3*t^8.678)/g2^33 + (g1^2*t^8.73)/g2^25 - (3*g1*t^8.783)/g2^17 - (2*t^8.835)/g2^9 - (2*t^8.887)/(g1*g2) - (g2^7*t^8.939)/g1^2 + t^8.835/(g2^9*y^2) - t^3.945/(g2^3*y) - t^4.89/(g2^6*y) - (g1*t^6.728)/(g2^20*y) - t^6.78/(g2^12*y) - (2*g1*t^7.058)/(g2^2*y) - (g2^14*t^7.162)/(g1*y) - (g1*t^7.673)/(g2^23*y) - t^7.725/(g2^15*y) - (2*g1*t^8.003)/(g2^5*y) - (g2^11*t^8.107)/(g1*y) + (g1*t^8.618)/(g2^26*y) + (2*g1^2*t^8.896)/(g2^16*y) - (t^3.945*y)/g2^3 - (t^4.89*y)/g2^6 - (g1*t^6.728*y)/g2^20 - (t^6.78*y)/g2^12 - (2*g1*t^7.058*y)/g2^2 - (g2^14*t^7.162*y)/g1 - (g1*t^7.673*y)/g2^23 - (t^7.725*y)/g2^15 - (2*g1*t^8.003*y)/g2^5 - (g2^11*t^8.107*y)/g1 + (g1*t^8.618*y)/g2^26 + (2*g1^2*t^8.896*y)/g2^16 + (t^8.835*y^2)/g2^9 |
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 |
---|---|---|---|---|---|---|---|---|
58548 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{2}$ | 1.4409 | 1.6192 | 0.8899 | [X:[1.3577], M:[0.9634, 1.0366], q:[0.477, 0.477], qb:[0.5596, 0.5596], phi:[0.3211]] | t^2.89 + 4*t^3.11 + 5*t^4.07 + 4*t^5.04 + 2*t^5.26 + t^5.78 - 2*t^6. - t^3.96/y - t^4.93/y - t^3.96*y - t^4.93*y | detail | |
58549 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ | 1.4542 | 1.6369 | 0.8884 | [X:[1.3816], M:[0.8938, 0.8938], q:[0.5426, 0.4749], qb:[0.5636, 0.5636], phi:[0.3092]] | 2*t^2.68 + t^2.78 + 2*t^3.12 + 2*t^4.04 + t^4.14 + 2*t^4.25 + 2*t^4.97 + 2*t^5.17 + 3*t^5.36 + t^5.4 + 2*t^5.46 + t^5.57 + t^5.61 + 3*t^5.8 + 2*t^5.9 - 4*t^6. - t^3.93/y - t^4.86/y - t^3.93*y - t^4.86*y | detail | |
58547 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{3}X_{2}$ | 0.8804 | 0.9037 | 0.9742 | [X:[1.695, 1.5424], M:[0.9151], q:[0.469, 1.3842], qb:[0.6158, 0.6158], phi:[0.1525]] | t^2.75 + t^3.71 + t^4.17 + t^4.63 + t^5.08 + t^5.49 + t^5.59 - 2*t^6. - t^3.46/y - t^3.92/y - t^3.46*y - t^3.92*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 |
---|---|---|---|---|---|---|---|---|---|
47897 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | 1.4497 | 1.6322 | 0.8882 | [X:[1.3628], M:[0.9023], q:[0.5128, 0.4792], qb:[0.585, 0.5115], phi:[0.3186]] | t^2.707 + t^2.867 + t^2.972 + t^3.073 + t^3.192 + t^3.928 + t^4.029 + t^4.088 + t^4.148 + t^4.249 + t^4.884 + t^4.984 + t^5.104 + t^5.205 + t^5.369 + t^5.414 + t^5.47 + t^5.574 + t^5.679 + t^5.735 + t^5.779 + t^5.839 + t^5.94 + t^5.944 - 3*t^6. - t^3.956/y - t^4.912/y - t^3.956*y - t^4.912*y | detail |