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 |
---|---|---|---|---|---|---|---|---|---|
56109 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{7}\phi_{1}^{2}$ | 0.6054 | 0.7362 | 0.8224 | [X:[1.4082], M:[1.0918, 1.041, 0.9082, 0.5918, 1.0, 0.7246, 1.1836], q:[0.2959, 0.6123], qb:[0.6631, 0.7959], phi:[0.4082]] | [X:[[2]], M:[[-2], [10], [2], [-2], [0], [6], [-4]], q:[[-1], [3]], qb:[[-9], [-1]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{6}$, ${ }M_{3}$, ${ }M_{5}$, ${ }M_{2}$, ${ }M_{1}$, ${ }M_{7}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }X_{1}$, ${ }M_{6}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{5}$, ${ }M_{6}M_{7}$ | ${}$ | -1 | t^2.174 + t^2.725 + t^3. + t^3.123 + t^3.275 + t^3.551 + t^3.949 + t^4.102 + t^4.225 + t^4.348 + t^4.377 + t^4.898 + t^5.174 + t^5.203 + t^5.297 + 2*t^5.449 + t^5.725 - t^6. + t^6.123 - t^6.152 + t^6.246 + 2*t^6.275 + t^6.398 + t^6.521 + t^6.551 + t^6.674 + t^6.949 + t^7.072 + t^7.102 + 2*t^7.348 + t^7.377 + t^7.471 + t^7.5 + 2*t^7.623 + t^7.652 + t^7.898 + t^7.928 + t^8.021 - t^8.051 + t^8.203 + t^8.297 + t^8.42 + 2*t^8.449 + t^8.479 + t^8.572 + t^8.695 - t^8.725 + t^8.754 + t^8.848 - t^8.877 - t^4.225/y - t^6.398/y + t^7.102/y - t^7.348/y + t^7.898/y + t^8.051/y + t^8.174/y + t^8.297/y + t^8.449/y - t^8.572/y + (2*t^8.725)/y + t^8.848/y - t^4.225*y - t^6.398*y + t^7.102*y - t^7.348*y + t^7.898*y + t^8.051*y + t^8.174*y + t^8.297*y + t^8.449*y - t^8.572*y + 2*t^8.725*y + t^8.848*y | g1^6*t^2.174 + g1^2*t^2.725 + t^3. + g1^10*t^3.123 + t^3.275/g1^2 + t^3.551/g1^4 + g1^4*t^3.949 + t^4.102/g1^8 + g1^2*t^4.225 + g1^12*t^4.348 + t^4.377/g1^10 + g1^8*t^4.898 + g1^6*t^5.174 + t^5.203/g1^16 + g1^16*t^5.297 + 2*g1^4*t^5.449 + g1^2*t^5.725 - t^6. + g1^10*t^6.123 - t^6.152/g1^12 + g1^20*t^6.246 + (2*t^6.275)/g1^2 + g1^8*t^6.398 + g1^18*t^6.521 + t^6.551/g1^4 + g1^6*t^6.674 + g1^4*t^6.949 + g1^14*t^7.072 + t^7.102/g1^8 + 2*g1^12*t^7.348 + t^7.377/g1^10 + g1^22*t^7.471 + t^7.5 + 2*g1^10*t^7.623 + t^7.652/g1^12 + g1^8*t^7.898 + t^7.928/g1^14 + g1^18*t^8.021 - t^8.051/g1^4 + t^8.203/g1^16 + g1^16*t^8.297 + g1^26*t^8.42 + 2*g1^4*t^8.449 + t^8.479/g1^18 + g1^14*t^8.572 + g1^24*t^8.695 - g1^2*t^8.725 + t^8.754/g1^20 + g1^12*t^8.848 - t^8.877/g1^10 - (g1^2*t^4.225)/y - (g1^8*t^6.398)/y + t^7.102/(g1^8*y) - (g1^12*t^7.348)/y + (g1^8*t^7.898)/y + t^8.051/(g1^4*y) + (g1^6*t^8.174)/y + (g1^16*t^8.297)/y + (g1^4*t^8.449)/y - (g1^14*t^8.572)/y + (2*g1^2*t^8.725)/y + (g1^12*t^8.848)/y - g1^2*t^4.225*y - g1^8*t^6.398*y + (t^7.102*y)/g1^8 - g1^12*t^7.348*y + g1^8*t^7.898*y + (t^8.051*y)/g1^4 + g1^6*t^8.174*y + g1^16*t^8.297*y + g1^4*t^8.449*y - g1^14*t^8.572*y + 2*g1^2*t^8.725*y + g1^12*t^8.848*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 |
---|---|---|---|---|---|---|---|---|
58263 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{7}\phi_{1}^{2}$ + ${ }M_{1}M_{8}$ | 0.614 | 0.7508 | 0.8178 | [X:[1.4054], M:[1.0946, 1.0271, 0.9054, 0.5946, 1.0, 0.7162, 1.1892, 0.9054], q:[0.2973, 0.6081], qb:[0.6757, 0.7973], phi:[0.4054]] | t^2.149 + 2*t^2.716 + t^3. + t^3.081 + t^3.568 + t^3.932 + t^4.135 + t^4.216 + t^4.297 + t^4.419 + 2*t^4.865 + t^5.149 + t^5.23 + t^5.27 + 3*t^5.432 + 2*t^5.716 + t^5.797 - 2*t^6. - t^4.216/y - t^4.216*y | detail | |
58261 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{7}\phi_{1}^{2}$ + ${ }M_{2}M_{8}$ | 0.6124 | 0.7491 | 0.8176 | [X:[1.4216], M:[1.0784, 1.1081, 0.9216, 0.5784, 1.0, 0.7648, 1.1568, 0.8919], q:[0.2892, 0.6324], qb:[0.6027, 0.7892], phi:[0.4216]] | t^2.295 + t^2.676 + t^2.765 + t^3. + t^3.235 + t^3.47 + t^3.941 + t^4.03 + t^4.176 + t^4.265 + t^4.589 + t^4.881 + t^4.97 + t^5.059 + t^5.295 + t^5.352 + t^5.441 + 2*t^5.53 + t^5.676 + t^5.765 - t^6. - t^4.265/y - t^4.265*y | detail | |
58264 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{7}\phi_{1}^{2}$ + ${ }M_{8}\phi_{1}q_{1}q_{2}$ | 0.6262 | 0.7767 | 0.8062 | [X:[1.4088], M:[1.0912, 1.0438, 0.9088, 0.5912, 1.0, 0.7263, 1.1825, 0.6825], q:[0.2956, 0.6131], qb:[0.6606, 0.7956], phi:[0.4088]] | t^2.047 + t^2.179 + t^2.726 + t^3. + t^3.131 + t^3.274 + t^3.547 + 2*t^4.095 + 2*t^4.226 + t^4.358 + t^4.369 + t^4.774 + t^4.905 + t^5.047 + 2*t^5.179 + t^5.19 + t^5.31 + t^5.321 + 2*t^5.453 + t^5.595 + t^5.726 - t^6. - t^4.226/y - t^4.226*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 |
---|
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 |
---|
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 |
---|---|---|---|---|---|---|---|---|---|
50836 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{4}X_{1}$ | 0.6212 | 0.7642 | 0.8129 | [X:[1.4041], M:[1.0959, 1.0207, 0.9041, 0.5959, 1.0, 0.7124], q:[0.2979, 0.6062], qb:[0.6814, 0.7979], phi:[0.4041]] | t^2.137 + t^2.425 + t^2.712 + t^3. + t^3.062 + t^3.288 + t^3.925 + t^4.15 + t^4.212 + t^4.274 + t^4.438 + t^4.562 + 2*t^4.85 + 2*t^5.137 + t^5.199 + t^5.301 + 3*t^5.425 + t^5.487 + t^5.712 - t^6. - t^4.212/y - t^4.212*y | detail |