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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1884 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}X_{1}$ | 0.6183 | 0.7529 | 0.8212 | [X:[1.6154], M:[0.7932, 1.2309, 0.745, 1.1537, 0.3846, 0.8463], q:[0.4497, 0.757], qb:[0.3966, 0.8584], phi:[0.3846]] | [X:[[0, 1]], M:[[2, -8], [0, 2], [-2, 4], [0, -3], [0, -1], [0, 3]], q:[[-1, 7], [-1, 1]], qb:[[1, -4], [1, 0]], phi:[[0, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{1}$, ${ }M_{6}$, ${ }M_{4}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }X_{1}$, ${ }M_{1}M_{6}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{3}$ | ${}$ | -2 | t^2.235 + t^2.38 + t^2.539 + t^3.461 + t^3.533 + 2*t^3.693 + t^3.852 + t^3.924 + t^4.47 + t^4.615 + t^4.759 + t^4.774 + t^4.846 + t^4.919 + t^5.078 + t^5.696 + t^5.913 + t^5.928 - 2*t^6. + 2*t^6.072 + t^6.087 + 2*t^6.232 + t^6.304 + t^6.391 + t^6.463 + t^6.705 + t^6.85 + t^6.994 + t^7.009 + t^7.067 + t^7.139 + t^7.226 + t^7.298 + 2*t^7.385 + t^7.458 + t^7.545 + 2*t^7.617 + t^7.704 + t^7.776 + t^7.849 + t^7.931 + t^8.163 - 2*t^8.235 + t^8.293 + t^8.307 + t^8.322 - 3*t^8.38 + 2*t^8.452 - 2*t^8.539 + t^8.611 + t^8.626 + t^8.684 + 2*t^8.771 + t^8.843 + t^8.93 + t^8.94 - t^4.154/y - t^6.389/y - t^6.533/y + t^7.615/y + (2*t^7.774)/y + (2*t^7.919)/y - t^8.624/y + t^8.696/y + t^8.841/y + (2*t^8.928)/y - t^4.154*y - t^6.389*y - t^6.533*y + t^7.615*y + 2*t^7.774*y + 2*t^7.919*y - t^8.624*y + t^8.696*y + t^8.841*y + 2*t^8.928*y | (g2^4*t^2.235)/g1^2 + (g1^2*t^2.38)/g2^8 + g2^3*t^2.539 + t^3.461/g2^3 + (g1^2*t^3.533)/g2^9 + 2*g2^2*t^3.693 + (g2^13*t^3.852)/g1^2 + g2^7*t^3.924 + (g2^8*t^4.47)/g1^4 + t^4.615/g2^4 + (g1^4*t^4.759)/g2^16 + (g2^7*t^4.774)/g1^2 + g2*t^4.846 + (g1^2*t^4.919)/g2^5 + g2^6*t^5.078 + (g2*t^5.696)/g1^2 + (g1^4*t^5.913)/g2^17 + (g2^6*t^5.928)/g1^2 - 2*t^6. + (2*g1^2*t^6.072)/g2^6 + (g2^17*t^6.087)/g1^4 + 2*g2^5*t^6.232 + (g1^2*t^6.304)/g2 + (g2^16*t^6.391)/g1^2 + g2^10*t^6.463 + (g2^12*t^6.705)/g1^6 + t^6.85/g1^2 + (g1^2*t^6.994)/g2^12 + (g2^11*t^7.009)/g1^4 + (g1^4*t^7.067)/g2^18 + (g1^6*t^7.139)/g2^24 + (g1^2*t^7.226)/g2^7 + (g1^4*t^7.298)/g2^13 + 2*g2^4*t^7.385 + (g1^2*t^7.458)/g2^2 + (g2^15*t^7.545)/g1^2 + 2*g2^9*t^7.617 + (g2^26*t^7.704)/g1^4 + (g2^20*t^7.776)/g1^2 + g2^14*t^7.849 + (g2^5*t^7.931)/g1^4 + (g2^10*t^8.163)/g1^4 - (2*g2^4*t^8.235)/g1^2 + (g1^6*t^8.293)/g2^25 + t^8.307/g2^2 + (g2^21*t^8.322)/g1^6 - (3*g1^2*t^8.38)/g2^8 + (2*g1^4*t^8.452)/g2^14 - 2*g2^3*t^8.539 + (g1^2*t^8.611)/g2^3 + (g2^20*t^8.626)/g1^4 + (g1^4*t^8.684)/g2^9 + 2*g2^8*t^8.771 + g1^2*g2^2*t^8.843 + (g2^19*t^8.93)/g1^2 + (g2^16*t^8.94)/g1^8 - t^4.154/(g2*y) - (g2^3*t^6.389)/(g1^2*y) - (g1^2*t^6.533)/(g2^9*y) + t^7.615/(g2^4*y) + (2*g2^7*t^7.774)/(g1^2*y) + (2*g1^2*t^7.919)/(g2^5*y) - (g2^7*t^8.624)/(g1^4*y) + (g2*t^8.696)/(g1^2*y) + (g1^2*t^8.841)/(g2^11*y) + (2*g2^6*t^8.928)/(g1^2*y) - (t^4.154*y)/g2 - (g2^3*t^6.389*y)/g1^2 - (g1^2*t^6.533*y)/g2^9 + (t^7.615*y)/g2^4 + (2*g2^7*t^7.774*y)/g1^2 + (2*g1^2*t^7.919*y)/g2^5 - (g2^7*t^8.624*y)/g1^4 + (g2*t^8.696*y)/g1^2 + (g1^2*t^8.841*y)/g2^11 + (2*g2^6*t^8.928*y)/g1^2 |
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 |
---|---|---|---|---|---|---|---|---|
2901 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}X_{1}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6181 | 0.7529 | 0.821 | [X:[1.6147], M:[0.8073, 1.2294, 0.7339, 1.1559, 0.3853, 0.8441], q:[0.4404, 0.7522], qb:[0.4037, 0.8625], phi:[0.3853]] | t^2.202 + t^2.422 + t^2.532 + t^3.468 + t^3.578 + 2*t^3.688 + t^3.798 + t^3.909 + t^4.403 + t^4.624 + t^4.734 + 2*t^4.844 + t^4.954 + t^5.065 + t^5.669 + t^5.89 - t^4.156/y - t^4.156*y | detail | |
2902 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}X_{1}$ + ${ }M_{7}\phi_{1}q_{1}^{2}$ | 0.6388 | 0.7919 | 0.8066 | [X:[1.6177], M:[0.7844, 1.2353, 0.7449, 1.147, 0.3823, 0.853, 0.696], q:[0.4608, 0.7548], qb:[0.3922, 0.8629], phi:[0.3823]] | t^2.088 + t^2.235 + t^2.353 + t^2.559 + t^3.441 + t^3.5 + 2*t^3.706 + t^3.971 + t^4.176 + t^4.323 + t^4.441 + t^4.469 + t^4.588 + t^4.647 + t^4.707 + t^4.794 + t^4.853 + t^4.912 + t^5.118 + t^5.529 + t^5.588 + t^5.676 + 2*t^5.794 + t^5.854 + t^5.941 - 2*t^6. - t^4.147/y - t^4.147*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 |
---|---|---|---|---|---|---|---|---|---|
535 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ | 0.7203 | 0.8807 | 0.8179 | [M:[0.9121, 1.0959, 0.896, 1.0183, 0.7898, 0.9817], q:[0.5256, 0.5623], qb:[0.4561, 0.648], phi:[0.452]] | t^2.369 + t^2.688 + t^2.736 + t^2.945 + t^3.055 + t^3.288 + t^3.521 + t^4.093 + t^4.301 + t^4.411 + t^4.51 + t^4.62 + t^4.668 + t^4.73 + t^4.739 + t^4.877 + t^4.987 + t^5.057 + t^5.106 + t^5.244 + t^5.314 + t^5.376 + t^5.424 + t^5.473 + t^5.657 + t^5.89 + t^5.976 - 3*t^6. - t^4.356/y - t^4.356*y | detail |