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 |
---|---|---|---|---|---|---|---|---|---|
4609 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{1}M_{8}$ | 0.7077 | 0.8799 | 0.8043 | [M:[1.0814, 0.7557, 0.8893, 0.9479, 1.0521, 0.785, 1.1107, 0.9186], q:[0.5407, 0.3779], qb:[0.57, 0.6743], phi:[0.4593]] | [M:[[-2], [6], [15], [-11], [11], [-7], [-15], [2]], q:[[-1], [3]], qb:[[-14], [8]], phi:[[1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{6}$, ${ }M_{8}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{5}$, ${ }M_{7}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{8}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{6}M_{8}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{8}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{7}$, ${ }M_{4}M_{8}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{5}M_{8}$, ${ }M_{5}\phi_{1}^{2}$ | ${}$ | -2 | t^2.267 + t^2.355 + 2*t^2.756 + t^2.844 + t^3.156 + t^3.332 + t^3.645 + t^4.134 + t^4.221 + 2*t^4.534 + 2*t^4.622 + 2*t^4.71 + t^4.798 + 3*t^5.023 + 3*t^5.111 + t^5.199 + t^5.423 + 3*t^5.511 + 2*t^5.599 + t^5.687 + 2*t^5.912 - 2*t^6. + t^6.088 + t^6.176 + 2*t^6.401 + t^6.489 + t^6.664 + 2*t^6.801 + 2*t^6.889 + 5*t^6.977 + 3*t^7.065 + t^7.153 + 5*t^7.29 + 3*t^7.378 + 4*t^7.466 + 4*t^7.554 + t^7.642 + t^7.691 + 4*t^7.779 + 4*t^7.866 + 2*t^7.954 + t^8.042 + t^8.13 + 3*t^8.179 + 2*t^8.443 + t^8.531 + t^8.58 + 3*t^8.668 - 4*t^8.756 - t^8.844 + 2*t^8.932 - t^4.378/y - t^6.645/y - t^6.733/y - t^7.134/y + (2*t^7.622)/y + (3*t^8.023)/y + (4*t^8.111)/y + t^8.199/y + t^8.423/y + (2*t^8.511)/y + (3*t^8.599)/y + t^8.687/y + (2*t^8.912)/y - t^4.378*y - t^6.645*y - t^6.733*y - t^7.134*y + 2*t^7.622*y + 3*t^8.023*y + 4*t^8.111*y + t^8.199*y + t^8.423*y + 2*t^8.511*y + 3*t^8.599*y + t^8.687*y + 2*t^8.912*y | g1^6*t^2.267 + t^2.355/g1^7 + 2*g1^2*t^2.756 + t^2.844/g1^11 + g1^11*t^3.156 + t^3.332/g1^15 + g1^7*t^3.645 + g1^3*t^4.134 + t^4.221/g1^10 + 2*g1^12*t^4.534 + (2*t^4.622)/g1 + (2*t^4.71)/g1^14 + t^4.798/g1^27 + 3*g1^8*t^5.023 + (3*t^5.111)/g1^5 + t^5.199/g1^18 + g1^17*t^5.423 + 3*g1^4*t^5.511 + (2*t^5.599)/g1^9 + t^5.687/g1^22 + 2*g1^13*t^5.912 - 2*t^6. + t^6.088/g1^13 + t^6.176/g1^26 + 2*g1^9*t^6.401 + t^6.489/g1^4 + t^6.664/g1^30 + 2*g1^18*t^6.801 + 2*g1^5*t^6.889 + (5*t^6.977)/g1^8 + (3*t^7.065)/g1^21 + t^7.153/g1^34 + 5*g1^14*t^7.29 + 3*g1*t^7.378 + (4*t^7.466)/g1^12 + (4*t^7.554)/g1^25 + t^7.642/g1^38 + g1^23*t^7.691 + 4*g1^10*t^7.779 + (4*t^7.866)/g1^3 + (2*t^7.954)/g1^16 + t^8.042/g1^29 + t^8.13/g1^42 + 3*g1^19*t^8.179 + (2*t^8.443)/g1^20 + t^8.531/g1^33 + g1^28*t^8.58 + 3*g1^15*t^8.668 - 4*g1^2*t^8.756 - t^8.844/g1^11 + (2*t^8.932)/g1^24 - (g1*t^4.378)/y - (g1^7*t^6.645)/y - t^6.733/(g1^6*y) - (g1^3*t^7.134)/y + (2*t^7.622)/(g1*y) + (3*g1^8*t^8.023)/y + (4*t^8.111)/(g1^5*y) + t^8.199/(g1^18*y) + (g1^17*t^8.423)/y + (2*g1^4*t^8.511)/y + (3*t^8.599)/(g1^9*y) + t^8.687/(g1^22*y) + (2*g1^13*t^8.912)/y - g1*t^4.378*y - g1^7*t^6.645*y - (t^6.733*y)/g1^6 - g1^3*t^7.134*y + (2*t^7.622*y)/g1 + 3*g1^8*t^8.023*y + (4*t^8.111*y)/g1^5 + (t^8.199*y)/g1^18 + g1^17*t^8.423*y + 2*g1^4*t^8.511*y + (3*t^8.599*y)/g1^9 + (t^8.687*y)/g1^22 + 2*g1^13*t^8.912*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 |
---|---|---|---|---|---|---|---|---|
6149 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{1}M_{8}$ + ${ }M_{9}q_{1}\tilde{q}_{2}$ | 0.7252 | 0.9116 | 0.7955 | [M:[1.0797, 0.761, 0.9026, 0.9381, 1.0619, 0.7788, 1.0974, 0.9203, 0.7788], q:[0.5398, 0.3805], qb:[0.5576, 0.6814], phi:[0.4602]] | t^2.283 + 2*t^2.336 + 2*t^2.761 + t^2.814 + t^3.186 + t^3.292 + t^4.142 + t^4.195 + 2*t^4.566 + 3*t^4.619 + 4*t^4.673 + t^4.726 + 3*t^5.044 + 5*t^5.097 + 2*t^5.151 + t^5.469 + 4*t^5.522 + 2*t^5.575 + 2*t^5.629 + t^5.947 - 3*t^6. - t^4.381/y - t^4.381*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 |
---|---|---|---|---|---|---|---|---|---|
2552 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{7}$ | 0.7003 | 0.8676 | 0.8071 | [M:[1.0806, 0.7583, 0.8957, 0.9432, 1.0568, 0.782, 1.1043], q:[0.5403, 0.3791], qb:[0.564, 0.6777], phi:[0.4597]] | t^2.275 + t^2.346 + t^2.758 + t^2.83 + t^3.17 + t^3.242 + t^3.313 + t^3.654 + t^4.137 + t^4.209 + 2*t^4.55 + 2*t^4.621 + 2*t^4.692 + t^4.763 + 2*t^5.033 + 2*t^5.104 + t^5.176 + t^5.445 + 2*t^5.517 + 2*t^5.588 + t^5.659 + t^5.929 - t^6. - t^4.379/y - t^4.379*y | detail |