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 |
---|---|---|---|---|---|---|---|---|---|
2067 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.7079 | 0.8764 | 0.8078 | [M:[0.9219, 1.026, 1.0781, 0.8698, 0.9219, 0.9219], q:[0.513, 0.5651], qb:[0.4088, 0.5651], phi:[0.487]] | [M:[[-6], [2], [6], [-10], [-6], [-6]], q:[[1], [5]], qb:[[-7], [5]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{1}$, ${ }M_{5}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{4}M_{6}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ | ${}$ | -4 | t^2.609 + 3*t^2.766 + 2*t^2.922 + t^3.078 + t^3.914 + t^4.227 + 2*t^4.383 + t^4.539 + 2*t^4.695 + 3*t^4.852 + t^5.219 + 3*t^5.375 + 6*t^5.531 + 6*t^5.687 + 4*t^5.844 - 4*t^6. - 2*t^6.156 - t^6.313 - 2*t^6.469 + t^6.523 + 3*t^6.68 + 3*t^6.836 + 3*t^6.992 + 6*t^7.148 + 6*t^7.305 + 4*t^7.461 + 6*t^7.617 + 3*t^7.773 + 2*t^7.828 - 3*t^7.93 + 3*t^7.984 - 2*t^8.086 + 7*t^8.141 + 12*t^8.297 + 10*t^8.453 + 6*t^8.609 - 6*t^8.766 - 13*t^8.922 - t^4.461/y - t^7.07/y - (2*t^7.227)/y + (2*t^7.695)/y + t^7.852/y + (3*t^8.375)/y + (5*t^8.531)/y + (7*t^8.687)/y + (4*t^8.844)/y - t^4.461*y - t^7.07*y - 2*t^7.227*y + 2*t^7.695*y + t^7.852*y + 3*t^8.375*y + 5*t^8.531*y + 7*t^8.687*y + 4*t^8.844*y | t^2.609/g1^10 + (3*t^2.766)/g1^6 + (2*t^2.922)/g1^2 + g1^2*t^3.078 + t^3.914/g1^15 + t^4.227/g1^7 + (2*t^4.383)/g1^3 + g1*t^4.539 + 2*g1^5*t^4.695 + 3*g1^9*t^4.852 + t^5.219/g1^20 + (3*t^5.375)/g1^16 + (6*t^5.531)/g1^12 + (6*t^5.687)/g1^8 + (4*t^5.844)/g1^4 - 4*t^6. - 2*g1^4*t^6.156 - g1^8*t^6.313 - 2*g1^12*t^6.469 + t^6.523/g1^25 + (3*t^6.68)/g1^21 + (3*t^6.836)/g1^17 + (3*t^6.992)/g1^13 + (6*t^7.148)/g1^9 + (6*t^7.305)/g1^5 + (4*t^7.461)/g1 + 6*g1^3*t^7.617 + 3*g1^7*t^7.773 + (2*t^7.828)/g1^30 - 3*g1^11*t^7.93 + (3*t^7.984)/g1^26 - 2*g1^15*t^8.086 + (7*t^8.141)/g1^22 + (12*t^8.297)/g1^18 + (10*t^8.453)/g1^14 + (6*t^8.609)/g1^10 - (6*t^8.766)/g1^6 - (13*t^8.922)/g1^2 - t^4.461/(g1*y) - t^7.07/(g1^11*y) - (2*t^7.227)/(g1^7*y) + (2*g1^5*t^7.695)/y + (g1^9*t^7.852)/y + (3*t^8.375)/(g1^16*y) + (5*t^8.531)/(g1^12*y) + (7*t^8.687)/(g1^8*y) + (4*t^8.844)/(g1^4*y) - (t^4.461*y)/g1 - (t^7.07*y)/g1^11 - (2*t^7.227*y)/g1^7 + 2*g1^5*t^7.695*y + g1^9*t^7.852*y + (3*t^8.375*y)/g1^16 + (5*t^8.531*y)/g1^12 + (7*t^8.687*y)/g1^8 + (4*t^8.844*y)/g1^4 |
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 |
---|---|---|---|---|---|---|---|---|
3135 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ | 0.7286 | 0.9161 | 0.7953 | [M:[0.9262, 1.0246, 1.0738, 0.8769, 0.9262, 0.9262, 0.6846], q:[0.5123, 0.5615], qb:[0.4139, 0.5615], phi:[0.4877]] | t^2.054 + t^2.631 + 3*t^2.778 + 2*t^2.926 + t^3.074 + t^4.108 + t^4.242 + 2*t^4.389 + t^4.537 + 3*t^4.685 + 6*t^4.832 + 2*t^4.98 + t^5.128 + t^5.262 + 3*t^5.409 + 6*t^5.557 + 6*t^5.705 + 4*t^5.852 - 4*t^6. - t^4.463/y - t^4.463*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 |
---|---|---|---|---|---|---|---|---|---|
896 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ | 0.7014 | 0.8635 | 0.8123 | [M:[0.9379, 1.0207, 1.0621, 0.8965, 0.9379], q:[0.5103, 0.5517], qb:[0.4276, 0.5517], phi:[0.4897]] | t^2.69 + 2*t^2.814 + 2*t^2.938 + t^3.062 + t^3.186 + t^4.034 + t^4.283 + 2*t^4.407 + t^4.531 + 2*t^4.655 + 3*t^4.779 + t^5.379 + 2*t^5.503 + 3*t^5.627 + 4*t^5.752 + 4*t^5.876 - 2*t^6. - t^4.469/y - t^4.469*y | detail |