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 |
---|---|---|---|---|---|---|---|---|---|
46597 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{3}$ | 0.6029 | 0.7691 | 0.7839 | [M:[0.6807, 1.0639, 0.9361, 0.6807], q:[0.3298, 0.9895], qb:[0.6063, 0.4575], phi:[0.4042]] | [M:[[-20], [4], [-4], [-20]], q:[[5], [15]], qb:[[-9], [13]], phi:[[-6]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }M_{4}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}^{3}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}^{3}q_{1}^{2}$, ${ }M_{4}\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}\tilde{q}_{2}^{2}$ | ${}\phi_{1}^{3}q_{1}\tilde{q}_{2}$ | 0 | 2*t^2.042 + t^2.362 + t^2.425 + t^2.808 + 2*t^3.192 + t^3.575 + 3*t^4.084 + t^4.341 + 2*t^4.404 + 2*t^4.467 + t^4.724 + 2*t^4.787 + 3*t^4.851 + t^5.171 + 4*t^5.234 + 2*t^5.554 + 3*t^5.617 + t^5.937 + 4*t^6.126 + 3*t^6.383 + 2*t^6.446 + 3*t^6.51 + t^6.703 + 2*t^6.766 + 2*t^6.829 + 5*t^6.893 + t^7.086 + t^7.149 + 2*t^7.213 + 7*t^7.276 + t^7.533 + 2*t^7.596 + 5*t^7.659 + 2*t^7.916 + 2*t^7.979 + 5*t^8.169 + t^8.299 - t^8.362 + 3*t^8.425 + 2*t^8.488 + 4*t^8.552 + t^8.682 + t^8.745 - t^8.808 + 2*t^8.872 + 7*t^8.935 - t^4.213/y - (2*t^6.255)/y - t^6.638/y + t^7.084/y + (2*t^7.404)/y + (2*t^7.467)/y + (2*t^7.787)/y + (2*t^7.851)/y + (3*t^8.171)/y + (5*t^8.234)/y - (3*t^8.297)/y + (2*t^8.554)/y + (4*t^8.617)/y - (2*t^8.68)/y + t^8.937/y - t^4.213*y - 2*t^6.255*y - t^6.638*y + t^7.084*y + 2*t^7.404*y + 2*t^7.467*y + 2*t^7.787*y + 2*t^7.851*y + 3*t^8.171*y + 5*t^8.234*y - 3*t^8.297*y + 2*t^8.554*y + 4*t^8.617*y - 2*t^8.68*y + t^8.937*y | (2*t^2.042)/g1^20 + g1^18*t^2.362 + t^2.425/g1^12 + t^2.808/g1^4 + 2*g1^4*t^3.192 + g1^12*t^3.575 + (3*t^4.084)/g1^40 + g1^28*t^4.341 + (2*t^4.404)/g1^2 + (2*t^4.467)/g1^32 + g1^36*t^4.724 + 2*g1^6*t^4.787 + (3*t^4.851)/g1^24 + g1^14*t^5.171 + (4*t^5.234)/g1^16 + 2*g1^22*t^5.554 + (3*t^5.617)/g1^8 + g1^30*t^5.937 + (4*t^6.126)/g1^60 + 3*g1^8*t^6.383 + (2*t^6.446)/g1^22 + (3*t^6.51)/g1^52 + g1^46*t^6.703 + 2*g1^16*t^6.766 + (2*t^6.829)/g1^14 + (5*t^6.893)/g1^44 + g1^54*t^7.086 + g1^24*t^7.149 + (2*t^7.213)/g1^6 + (7*t^7.276)/g1^36 + g1^32*t^7.533 + 2*g1^2*t^7.596 + (5*t^7.659)/g1^28 + 2*g1^40*t^7.916 + 2*g1^10*t^7.979 + (5*t^8.169)/g1^80 + g1^48*t^8.299 - g1^18*t^8.362 + (3*t^8.425)/g1^12 + (2*t^8.488)/g1^42 + (4*t^8.552)/g1^72 + g1^56*t^8.682 + g1^26*t^8.745 - t^8.808/g1^4 + (2*t^8.872)/g1^34 + (7*t^8.935)/g1^64 - t^4.213/(g1^6*y) - (2*t^6.255)/(g1^26*y) - t^6.638/(g1^18*y) + t^7.084/(g1^40*y) + (2*t^7.404)/(g1^2*y) + (2*t^7.467)/(g1^32*y) + (2*g1^6*t^7.787)/y + (2*t^7.851)/(g1^24*y) + (3*g1^14*t^8.171)/y + (5*t^8.234)/(g1^16*y) - (3*t^8.297)/(g1^46*y) + (2*g1^22*t^8.554)/y + (4*t^8.617)/(g1^8*y) - (2*t^8.68)/(g1^38*y) + (g1^30*t^8.937)/y - (t^4.213*y)/g1^6 - (2*t^6.255*y)/g1^26 - (t^6.638*y)/g1^18 + (t^7.084*y)/g1^40 + (2*t^7.404*y)/g1^2 + (2*t^7.467*y)/g1^32 + 2*g1^6*t^7.787*y + (2*t^7.851*y)/g1^24 + 3*g1^14*t^8.171*y + (5*t^8.234*y)/g1^16 - (3*t^8.297*y)/g1^46 + 2*g1^22*t^8.554*y + (4*t^8.617*y)/g1^8 - (2*t^8.68*y)/g1^38 + g1^30*t^8.937*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 |
---|---|---|---|---|---|---|---|---|
47094 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{2}M_{5}$ | 0.6089 | 0.7794 | 0.7812 | [M:[0.6737, 1.0653, 0.9347, 0.6737, 0.9347], q:[0.3316, 0.9948], qb:[0.6031, 0.4621], phi:[0.4021]] | 2*t^2.021 + t^2.381 + t^2.413 + 2*t^2.804 + t^3.196 + t^3.587 + 3*t^4.042 + t^4.371 + 2*t^4.402 + 2*t^4.434 + t^4.762 + 2*t^4.794 + 5*t^4.825 + 2*t^5.185 + 3*t^5.217 + t^5.577 + 4*t^5.608 + t^5.969 - t^4.206/y - t^4.206*y | detail | |
46957 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}M_{5}$ | 0.5971 | 0.7592 | 0.7865 | [M:[0.6878, 1.0624, 0.9376, 0.6878, 1.0624], q:[0.328, 0.9841], qb:[0.6095, 0.4529], phi:[0.4063]] | 2*t^2.063 + t^2.343 + t^2.438 + 3*t^3.187 + t^3.562 + 3*t^4.127 + t^4.311 + 2*t^4.406 + 2*t^4.502 + t^4.686 + 2*t^4.781 + t^4.876 + 5*t^5.251 + 3*t^5.53 + 3*t^5.625 + t^5.905 - 2*t^6. - t^4.219/y - t^4.219*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 |
---|---|---|---|---|---|---|---|---|---|
46206 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{1}^{2}$ | 0.6895 | 0.8745 | 0.7885 | [M:[0.6972, 0.6907, 0.6929, 0.6972], q:[0.4798, 0.823], qb:[0.8295, 0.4777], phi:[0.3475]] | t^2.072 + t^2.079 + t^2.085 + 2*t^2.091 + t^2.872 + t^3.902 + t^3.915 + t^3.921 + t^4.144 + t^4.151 + 2*t^4.157 + 3*t^4.164 + 3*t^4.17 + 2*t^4.177 + 3*t^4.183 + t^4.945 + t^4.951 + 2*t^4.957 + 2*t^4.964 + t^5.745 + t^5.974 + t^5.981 + t^5.987 + 2*t^5.994 - t^6. - t^4.043/y - t^4.043*y | detail |