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 |
---|---|---|---|---|---|---|---|---|---|
3183 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{3}X_{1}$ + ${ }M_{1}M_{8}$ | 0.6532 | 0.8167 | 0.7999 | [X:[1.6152], M:[0.7317, 0.8076, 0.3848, 1.1545, 0.8455, 0.6937, 0.8076, 1.2683], q:[0.8645, 0.4038], qb:[0.7507, 0.4417], phi:[0.3848]] | [X:[[0, 1]], M:[[2, -10], [-2, 6], [0, -1], [0, -3], [0, 3], [0, -7], [2, -5], [-2, 10]], q:[[-1, 7], [-1, 3]], qb:[[1, -6], [1, 0]], phi:[[0, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{7}$, ${ }M_{2}$, ${ }M_{5}$, ${ }M_{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{8}$, ${ }M_{6}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{2}M_{6}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{7}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{5}\phi_{1}^{2}$, ${ }X_{1}$, ${ }M_{2}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}M_{7}$, ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{6}M_{8}$ | ${}\phi_{1}^{3}q_{2}\tilde{q}_{2}$ | -1 | t^2.081 + t^2.309 + 2*t^2.423 + t^2.537 + t^3.463 + t^3.691 + 2*t^3.805 + t^4.162 + t^4.39 + 2*t^4.504 + 2*t^4.618 + 2*t^4.732 + 5*t^4.846 + 2*t^4.959 + t^5.073 + t^5.545 + t^5.772 + 2*t^5.886 - t^6. + 2*t^6.114 + 4*t^6.228 + t^6.244 + 2*t^6.342 + t^6.471 + 2*t^6.585 + 2*t^6.699 + 2*t^6.813 + 6*t^6.927 + 2*t^7.041 + 4*t^7.154 + 6*t^7.268 + 2*t^7.382 + 2*t^7.496 + 3*t^7.61 + t^7.626 + t^7.854 + 2*t^7.967 - t^8.081 + 2*t^8.309 + t^8.325 - 4*t^8.423 + t^8.553 + 6*t^8.65 + 2*t^8.666 + 3*t^8.764 + 2*t^8.78 + 2*t^8.878 + 2*t^8.894 - t^4.154/y - t^6.236/y - t^6.463/y - (2*t^6.577)/y + t^7.39/y + (2*t^7.504)/y + t^7.618/y + (4*t^7.732)/y + (3*t^7.846)/y + (2*t^7.959)/y + t^8.073/y - t^8.317/y - (2*t^8.658)/y + t^8.772/y + (2*t^8.886)/y - t^4.154*y - t^6.236*y - t^6.463*y - 2*t^6.577*y + t^7.39*y + 2*t^7.504*y + t^7.618*y + 4*t^7.732*y + 3*t^7.846*y + 2*t^7.959*y + t^8.073*y - t^8.317*y - 2*t^8.658*y + t^8.772*y + 2*t^8.886*y | t^2.081/g2^7 + t^2.309/g2^2 + (g1^2*t^2.423)/g2^5 + (g2^6*t^2.423)/g1^2 + g2^3*t^2.537 + t^3.463/g2^3 + g2^2*t^3.691 + (g1^2*t^3.805)/g2 + (g2^10*t^3.805)/g1^2 + t^4.162/g2^14 + t^4.39/g2^9 + (g1^2*t^4.504)/g2^12 + t^4.504/(g1^2*g2) + (2*t^4.618)/g2^4 + (g1^2*t^4.732)/g2^7 + (g2^4*t^4.732)/g1^2 + (g1^4*t^4.846)/g2^10 + 3*g2*t^4.846 + (g2^12*t^4.846)/g1^4 + (g1^2*t^4.959)/g2^2 + (g2^9*t^4.959)/g1^2 + g2^6*t^5.073 + t^5.545/g2^10 + t^5.772/g2^5 + (g1^2*t^5.886)/g2^8 + (g2^3*t^5.886)/g1^2 - t^6. + (g1^2*t^6.114)/g2^3 + (g2^8*t^6.114)/g1^2 + (g1^4*t^6.228)/g2^6 + 2*g2^5*t^6.228 + (g2^16*t^6.228)/g1^4 + t^6.244/g2^21 + g1^2*g2^2*t^6.342 + (g2^13*t^6.342)/g1^2 + t^6.471/g2^16 + (g1^2*t^6.585)/g2^19 + t^6.585/(g1^2*g2^8) + (2*t^6.699)/g2^11 + (g1^2*t^6.813)/g2^14 + t^6.813/(g1^2*g2^3) + (g1^4*t^6.927)/g2^17 + (4*t^6.927)/g2^6 + (g2^5*t^6.927)/g1^4 + (g1^2*t^7.041)/g2^9 + (g2^2*t^7.041)/g1^2 + (g1^4*t^7.154)/g2^12 + (2*t^7.154)/g2 + (g2^10*t^7.154)/g1^4 + (g1^6*t^7.268)/g2^15 + (2*g1^2*t^7.268)/g2^4 + (2*g2^7*t^7.268)/g1^2 + (g2^18*t^7.268)/g1^6 + (g1^4*t^7.382)/g2^7 + (g2^15*t^7.382)/g1^4 + g1^2*g2*t^7.496 + (g2^12*t^7.496)/g1^2 + (g1^4*t^7.61)/g2^2 + g2^9*t^7.61 + (g2^20*t^7.61)/g1^4 + t^7.626/g2^17 + t^7.854/g2^12 + (g1^2*t^7.967)/g2^15 + t^7.967/(g1^2*g2^4) - t^8.081/g2^7 + (g1^4*t^8.309)/g2^13 + (g2^9*t^8.309)/g1^4 + t^8.325/g2^28 - (2*g1^2*t^8.423)/g2^5 - (2*g2^6*t^8.423)/g1^2 + (g1^4*t^8.537)/g2^8 - 2*g2^3*t^8.537 + (g2^14*t^8.537)/g1^4 + t^8.553/g2^23 + 2*g1^2*t^8.65 + (g1^6*t^8.65)/g2^11 + (2*g2^11*t^8.65)/g1^2 + (g2^22*t^8.65)/g1^6 + (g1^2*t^8.666)/g2^26 + t^8.666/(g1^2*g2^15) + (g1^4*t^8.764)/g2^3 + g2^8*t^8.764 + (g2^19*t^8.764)/g1^4 + (2*t^8.78)/g2^18 + g1^2*g2^5*t^8.878 + (g2^16*t^8.878)/g1^2 + (g1^2*t^8.894)/g2^21 + t^8.894/(g1^2*g2^10) - t^4.154/(g2*y) - t^6.236/(g2^8*y) - t^6.463/(g2^3*y) - (g1^2*t^6.577)/(g2^6*y) - (g2^5*t^6.577)/(g1^2*y) + t^7.39/(g2^9*y) + (g1^2*t^7.504)/(g2^12*y) + t^7.504/(g1^2*g2*y) + t^7.618/(g2^4*y) + (2*g1^2*t^7.732)/(g2^7*y) + (2*g2^4*t^7.732)/(g1^2*y) + (3*g2*t^7.846)/y + (g1^2*t^7.959)/(g2^2*y) + (g2^9*t^7.959)/(g1^2*y) + (g2^6*t^8.073)/y - t^8.317/(g2^15*y) - (g1^2*t^8.658)/(g2^13*y) - t^8.658/(g1^2*g2^2*y) + t^8.772/(g2^5*y) + (g1^2*t^8.886)/(g2^8*y) + (g2^3*t^8.886)/(g1^2*y) - (t^4.154*y)/g2 - (t^6.236*y)/g2^8 - (t^6.463*y)/g2^3 - (g1^2*t^6.577*y)/g2^6 - (g2^5*t^6.577*y)/g1^2 + (t^7.39*y)/g2^9 + (g1^2*t^7.504*y)/g2^12 + (t^7.504*y)/(g1^2*g2) + (t^7.618*y)/g2^4 + (2*g1^2*t^7.732*y)/g2^7 + (2*g2^4*t^7.732*y)/g1^2 + 3*g2*t^7.846*y + (g1^2*t^7.959*y)/g2^2 + (g2^9*t^7.959*y)/g1^2 + g2^6*t^8.073*y - (t^8.317*y)/g2^15 - (g1^2*t^8.658*y)/g2^13 - (t^8.658*y)/(g1^2*g2^2) + (t^8.772*y)/g2^5 + (g1^2*t^8.886*y)/g2^8 + (g2^3*t^8.886*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 |
---|
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 |
---|---|---|---|---|---|---|---|---|---|
2102 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{3}X_{1}$ | 0.6733 | 0.8548 | 0.7876 | [X:[1.6169], M:[0.7116, 0.8206, 0.3831, 1.1492, 0.8508, 0.6814, 0.7963], q:[0.8781, 0.4103], qb:[0.7389, 0.4405], phi:[0.3831]] | t^2.044 + t^2.135 + t^2.298 + t^2.389 + t^2.462 + t^2.552 + t^3.448 + t^3.702 + t^3.792 + t^4.088 + t^4.179 + t^4.27 + t^4.343 + 2*t^4.433 + t^4.506 + t^4.524 + 3*t^4.597 + 2*t^4.687 + t^4.76 + t^4.778 + 3*t^4.851 + t^4.924 + t^4.941 + t^5.014 + t^5.105 + t^5.492 + t^5.582 + t^5.746 + 2*t^5.836 + t^5.927 - t^6. - t^4.149/y - t^4.149*y | detail |