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 |
---|---|---|---|---|---|---|---|---|---|
46639 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}^{2}$ | 0.6247 | 0.8113 | 0.77 | [M:[0.7396, 0.7258, 1.0, 1.0138], q:[0.7535, 0.5069], qb:[0.5207, 0.2465], phi:[0.4931]] | [M:[[3], [7], [0], [-4]], q:[[-1], [-2]], qb:[[-6], [1]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{1}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}^{3}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{2}^{4}$, ${ }M_{2}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$ | ${}M_{4}\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ | 0 | t^2.177 + t^2.219 + t^2.26 + t^2.302 + t^2.959 + t^3. + t^3.041 + t^3.083 + t^3.74 + t^3.781 + t^4.355 + t^4.396 + 2*t^4.438 + 2*t^4.479 + 3*t^4.521 + 2*t^4.562 + 2*t^4.604 + t^5.136 + t^5.177 + 2*t^5.219 + 4*t^5.26 + 3*t^5.302 + 2*t^5.343 + t^5.385 + 2*t^5.917 + t^5.959 + 2*t^6.041 + 2*t^6.083 + t^6.124 + t^6.166 + t^6.532 + t^6.574 + 2*t^6.615 + 2*t^6.657 + 3*t^6.698 + 4*t^6.74 + 4*t^6.781 + 4*t^6.823 + 3*t^6.864 + 2*t^6.906 + t^7.313 + t^7.355 + 2*t^7.396 + 3*t^7.438 + 4*t^7.479 + 4*t^7.521 + 6*t^7.562 + 5*t^7.604 + 3*t^7.645 + 2*t^7.687 + 2*t^8.094 + t^8.136 - t^8.177 + t^8.302 + 4*t^8.343 + 4*t^8.385 + 2*t^8.426 + t^8.468 + t^8.71 + t^8.751 + 2*t^8.793 + 2*t^8.834 + 5*t^8.876 + 3*t^8.917 + 2*t^8.959 - t^4.479/y - t^6.657/y - t^6.698/y + t^7.396/y + t^7.438/y + (2*t^7.479)/y + t^7.521/y + t^7.562/y + t^8.136/y + (2*t^8.177)/y + (3*t^8.219)/y + (5*t^8.26)/y + (4*t^8.302)/y + (2*t^8.343)/y + t^8.385/y - t^8.834/y - t^8.876/y + (3*t^8.959)/y - t^4.479*y - t^6.657*y - t^6.698*y + t^7.396*y + t^7.438*y + 2*t^7.479*y + t^7.521*y + t^7.562*y + t^8.136*y + 2*t^8.177*y + 3*t^8.219*y + 5*t^8.26*y + 4*t^8.302*y + 2*t^8.343*y + t^8.385*y - t^8.834*y - t^8.876*y + 3*t^8.959*y | g1^7*t^2.177 + g1^3*t^2.219 + t^2.26/g1 + t^2.302/g1^5 + g1^4*t^2.959 + t^3. + t^3.041/g1^4 + t^3.083/g1^8 + g1*t^3.74 + t^3.781/g1^3 + g1^14*t^4.355 + g1^10*t^4.396 + 2*g1^6*t^4.438 + 2*g1^2*t^4.479 + (3*t^4.521)/g1^2 + (2*t^4.562)/g1^6 + (2*t^4.604)/g1^10 + g1^11*t^5.136 + g1^7*t^5.177 + 2*g1^3*t^5.219 + (4*t^5.26)/g1 + (3*t^5.302)/g1^5 + (2*t^5.343)/g1^9 + t^5.385/g1^13 + 2*g1^8*t^5.917 + g1^4*t^5.959 + (2*t^6.041)/g1^4 + (2*t^6.083)/g1^8 + t^6.124/g1^12 + t^6.166/g1^16 + g1^21*t^6.532 + g1^17*t^6.574 + 2*g1^13*t^6.615 + 2*g1^9*t^6.657 + 3*g1^5*t^6.698 + 4*g1*t^6.74 + (4*t^6.781)/g1^3 + (4*t^6.823)/g1^7 + (3*t^6.864)/g1^11 + (2*t^6.906)/g1^15 + g1^18*t^7.313 + g1^14*t^7.355 + 2*g1^10*t^7.396 + 3*g1^6*t^7.438 + 4*g1^2*t^7.479 + (4*t^7.521)/g1^2 + (6*t^7.562)/g1^6 + (5*t^7.604)/g1^10 + (3*t^7.645)/g1^14 + (2*t^7.687)/g1^18 + 2*g1^15*t^8.094 + g1^11*t^8.136 - g1^7*t^8.177 + t^8.302/g1^5 + (4*t^8.343)/g1^9 + (4*t^8.385)/g1^13 + (2*t^8.426)/g1^17 + t^8.468/g1^21 + g1^28*t^8.71 + g1^24*t^8.751 + 2*g1^20*t^8.793 + 2*g1^16*t^8.834 + 5*g1^12*t^8.876 + 3*g1^8*t^8.917 + 2*g1^4*t^8.959 - (g1^2*t^4.479)/y - (g1^9*t^6.657)/y - (g1^5*t^6.698)/y + (g1^10*t^7.396)/y + (g1^6*t^7.438)/y + (2*g1^2*t^7.479)/y + t^7.521/(g1^2*y) + t^7.562/(g1^6*y) + (g1^11*t^8.136)/y + (2*g1^7*t^8.177)/y + (3*g1^3*t^8.219)/y + (5*t^8.26)/(g1*y) + (4*t^8.302)/(g1^5*y) + (2*t^8.343)/(g1^9*y) + t^8.385/(g1^13*y) - (g1^16*t^8.834)/y - (g1^12*t^8.876)/y + (3*g1^4*t^8.959)/y - g1^2*t^4.479*y - g1^9*t^6.657*y - g1^5*t^6.698*y + g1^10*t^7.396*y + g1^6*t^7.438*y + 2*g1^2*t^7.479*y + (t^7.521*y)/g1^2 + (t^7.562*y)/g1^6 + g1^11*t^8.136*y + 2*g1^7*t^8.177*y + 3*g1^3*t^8.219*y + (5*t^8.26*y)/g1 + (4*t^8.302*y)/g1^5 + (2*t^8.343*y)/g1^9 + (t^8.385*y)/g1^13 - g1^16*t^8.834*y - g1^12*t^8.876*y + 3*g1^4*t^8.959*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 |
---|---|---|---|---|---|---|---|---|
48298 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$ | 0.624 | 0.8116 | 0.7689 | [M:[0.7503, 0.7508, 1.0, 0.9996, 0.9996], q:[0.7499, 0.4998], qb:[0.4993, 0.2501], phi:[0.5002]] | t^2.248 + t^2.25 + t^2.251 + t^2.252 + t^2.997 + 2*t^2.999 + t^3. + t^3.749 + t^3.75 + 2*t^4.497 + 2*t^4.498 + 3*t^4.499 + 2*t^4.501 + 2*t^4.502 + t^4.503 + t^4.505 + t^5.246 + 3*t^5.247 + 4*t^5.248 + 4*t^5.25 + 2*t^5.251 + t^5.995 + 2*t^5.996 + 4*t^5.997 + 2*t^5.999 - t^6. - t^4.501/y - t^4.501*y | detail | |
46870 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ | 0.6298 | 0.8198 | 0.7682 | [M:[0.7193, 0.6784, 1.0, 1.0409, 0.9182], q:[0.7602, 0.5205], qb:[0.5614, 0.2398], phi:[0.4795]] | t^2.035 + t^2.158 + t^2.281 + t^2.403 + t^2.755 + t^2.877 + t^3. + t^3.123 + t^3.719 + t^3.842 + t^4.071 + t^4.193 + 2*t^4.316 + 2*t^4.439 + 3*t^4.561 + 2*t^4.684 + t^4.79 + 2*t^4.807 + 2*t^4.913 + 2*t^5.035 + 3*t^5.158 + 3*t^5.281 + 2*t^5.403 + t^5.509 + t^5.526 + t^5.632 + 3*t^5.755 + 2*t^5.877 - t^4.439/y - t^4.439*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 |
---|---|---|---|---|---|---|---|---|---|
46277 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6266 | 0.8141 | 0.7697 | [M:[0.7289, 0.7009, 1.0], q:[0.757, 0.514], qb:[0.5421, 0.243], phi:[0.486]] | t^2.103 + t^2.187 + t^2.271 + t^2.355 + 2*t^2.916 + t^3. + t^3.169 + t^3.729 + t^3.813 + t^4.205 + t^4.289 + 2*t^4.374 + 2*t^4.458 + 3*t^4.542 + 2*t^4.626 + 2*t^4.711 + 2*t^5.018 + 2*t^5.103 + 2*t^5.187 + 4*t^5.271 + 2*t^5.355 + t^5.44 + t^5.524 + 4*t^5.831 + 2*t^5.916 - t^6. - t^4.458/y - t^4.458*y | detail |