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 |
---|---|---|---|---|---|---|---|---|---|
57387 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ | 1.3303 | 1.4905 | 0.8925 | [X:[1.4379], M:[0.8099], q:[0.6997, 0.3853], qb:[0.4904, 0.7381], phi:[0.2811]] | [X:[[0, 4]], M:[[3, -5]], q:[[-2, 4], [1, 7]], qb:[[-1, 1], [2, 0]], phi:[[0, -2]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }\phi_{1}^{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{6}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}^{3}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | ${}\phi_{1}^{4}q_{2}\tilde{q}_{1}$ | -1 | t^2.43 + t^2.53 + t^2.627 + t^3.37 + t^3.47 + t^4.214 + 3*t^4.314 + t^4.414 + t^4.859 + t^4.959 + t^5.057 + t^5.059 + 2*t^5.157 + 2*t^5.254 + t^5.8 + t^5.9 + 2*t^5.998 - t^6. + 2*t^6.098 - t^6.1 + t^6.198 + t^6.643 + t^6.741 + 3*t^6.743 + 2*t^6.841 + 2*t^6.843 + 4*t^6.941 + t^7.041 + t^7.289 + t^7.389 + t^7.486 + t^7.489 + t^7.584 + t^7.586 + t^7.589 + 5*t^7.684 + t^7.686 + 4*t^7.784 - t^7.786 + 2*t^7.882 + t^8.23 + t^8.33 + 3*t^8.427 - 2*t^8.43 + 5*t^8.527 - 2*t^8.53 + 3*t^8.625 + 4*t^8.627 - 2*t^8.63 + 3*t^8.725 + t^8.727 + t^8.825 + t^8.827 + t^8.53/y^2 - t^3.843/y - t^4.686/y - t^6.273/y - t^6.373/y - t^6.47/y - t^7.116/y - t^7.214/y - t^7.216/y - t^7.314/y + t^7.959/y - t^8.157/y - t^8.702/y + t^8.8/y - t^8.802/y + t^8.9/y - t^8.902/y + t^8.998/y - t^3.843*y - t^4.686*y - t^6.273*y - t^6.373*y - t^6.47*y - t^7.116*y - t^7.214*y - t^7.216*y - t^7.314*y + t^7.959*y - t^8.157*y - t^8.702*y + t^8.8*y - t^8.802*y + t^8.9*y - t^8.902*y + t^8.998*y + t^8.53*y^2 | (g1^3*t^2.43)/g2^5 + t^2.53/g2^6 + g2^8*t^2.627 + g1^3*g2^7*t^3.37 + g2^6*t^3.47 + g1^3*g2^5*t^4.214 + 3*g2^4*t^4.314 + (g2^3*t^4.414)/g1^3 + (g1^6*t^4.859)/g2^10 + (g1^3*t^4.959)/g2^11 + g1^3*g2^3*t^5.057 + t^5.059/g2^12 + 2*g2^2*t^5.157 + 2*g2^16*t^5.254 + g1^6*g2^2*t^5.8 + g1^3*g2*t^5.9 + 2*g1^3*g2^15*t^5.998 - t^6. + 2*g2^14*t^6.098 - t^6.1/(g1^3*g2) + (g2^13*t^6.198)/g1^3 + g1^6*t^6.643 + g1^6*g2^14*t^6.741 + (3*g1^3*t^6.743)/g2 + 2*g1^3*g2^13*t^6.841 + (2*t^6.843)/g2^2 + 4*g2^12*t^6.941 + (g2^11*t^7.041)/g1^3 + (g1^9*t^7.289)/g2^15 + (g1^6*t^7.389)/g2^16 + (g1^6*t^7.486)/g2^2 + (g1^3*t^7.489)/g2^17 + g1^6*g2^12*t^7.584 + (g1^3*t^7.586)/g2^3 + t^7.589/g2^18 + 5*g1^3*g2^11*t^7.684 + t^7.686/g2^4 + 4*g2^10*t^7.784 - t^7.786/(g1^3*g2^5) + 2*g2^24*t^7.882 + (g1^9*t^8.23)/g2^3 + (g1^6*t^8.33)/g2^4 + 3*g1^6*g2^10*t^8.427 - (2*g1^3*t^8.43)/g2^5 + 5*g1^3*g2^9*t^8.527 - (2*t^8.53)/g2^6 + 3*g1^3*g2^23*t^8.625 + 4*g2^8*t^8.627 - (2*t^8.63)/(g1^3*g2^7) + 3*g2^22*t^8.725 + (g2^7*t^8.727)/g1^3 + (g2^21*t^8.825)/g1^3 + (g2^6*t^8.827)/g1^6 + t^8.53/(g2^6*y^2) - t^3.843/(g2^2*y) - t^4.686/(g2^4*y) - (g1^3*t^6.273)/(g2^7*y) - t^6.373/(g2^8*y) - (g2^6*t^6.47)/y - (g1^3*t^7.116)/(g2^9*y) - (g1^3*g2^5*t^7.214)/y - t^7.216/(g2^10*y) - (g2^4*t^7.314)/y + (g1^3*t^7.959)/(g2^11*y) - (g2^2*t^8.157)/y - (g1^6*t^8.702)/(g2^12*y) + (g1^6*g2^2*t^8.8)/y - (g1^3*t^8.802)/(g2^13*y) + (g1^3*g2*t^8.9)/y - t^8.902/(g2^14*y) + (g1^3*g2^15*t^8.998)/y - (t^3.843*y)/g2^2 - (t^4.686*y)/g2^4 - (g1^3*t^6.273*y)/g2^7 - (t^6.373*y)/g2^8 - g2^6*t^6.47*y - (g1^3*t^7.116*y)/g2^9 - g1^3*g2^5*t^7.214*y - (t^7.216*y)/g2^10 - g2^4*t^7.314*y + (g1^3*t^7.959*y)/g2^11 - g2^2*t^8.157*y - (g1^6*t^8.702*y)/g2^12 + g1^6*g2^2*t^8.8*y - (g1^3*t^8.802*y)/g2^13 + g1^3*g2*t^8.9*y - (t^8.902*y)/g2^14 + g1^3*g2^15*t^8.998*y + (t^8.53*y^2)/g2^6 |
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 |
---|---|---|---|---|---|---|---|---|
58499 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{3}$ | 1.2731 | 1.4431 | 0.8822 | [X:[1.3707], M:[1.056], q:[0.5244, 0.3218], qb:[0.4195, 0.8463], phi:[0.3147]] | t^2.22 + t^2.83 + 2*t^3.17 + t^3.5 + t^3.78 + 3*t^4.11 + 3*t^4.45 + 3*t^5.06 + 3*t^5.39 + 2*t^5.73 + t^6. - t^3.94/y - t^4.89/y - t^3.94*y - t^4.89*y | detail | |
58498 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ | 1.0675 | 1.1676 | 0.9142 | [X:[1.5421], M:[1.1446], q:[0.4939, 0.7229], qb:[0.3614, 1.0482], phi:[0.2289]] | t^2.06 + 2*t^3.25 + t^3.43 + t^3.94 + t^4.12 + 2*t^4.63 + 3*t^5.31 + t^5.49 + t^5.82 - t^6. - t^3.69/y - t^4.37/y - t^5.75/y - t^3.69*y - t^4.37*y - t^5.75*y | detail | |
58501 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$ | 1.2377 | 1.3692 | 0.9039 | [X:[1.4738], M:[1.0524], q:[0.544, 0.544], qb:[0.4036, 0.9298], phi:[0.2631]] | t^2.37 + t^2.84 + t^3.16 + 2*t^3.63 + 4*t^4.42 + t^4.74 + 2*t^5.21 + t^5.53 + 3*t^5.69 - t^3.79/y - t^4.58/y - t^3.79*y - t^4.58*y | detail | |
58500 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{6}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ | 1.2311 | 1.4003 | 0.8791 | [X:[1.3333, 1.3333], M:[0.959], q:[0.5829, 0.2085], qb:[0.4581, 0.7504], phi:[0.3333]] | 2*t^2.88 + 2*t^3. + t^3.88 + 5*t^4. + t^4.12 + t^4.88 + 2*t^5. + t^5.12 + 3*t^5.75 + 3*t^5.88 + t^6. - t^4./y - t^5./y - t^4.*y - t^5.*y | detail | |
58497 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ + ${ }q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{3}X_{2}$ | 0.8803 | 0.9227 | 0.954 | [X:[1.6268, 1.4402], M:[1.1195], q:[0.5248, 0.898], qb:[0.3557, 1.102], phi:[0.1866]] | t^3.2 + t^3.36 + t^3.76 + t^4.32 + 2*t^4.88 - 2*t^6. - t^3.56/y - t^4.12/y - t^3.56*y - t^4.12*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 |