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 |
---|---|---|---|---|---|---|---|---|---|
1784 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ | 0.5983 | 0.7653 | 0.7818 | [M:[0.9618, 1.1147, 0.9618, 0.8853], q:[0.7404, 0.2978], qb:[0.4809, 0.4044], phi:[0.5191]] | [M:[[4], [-12], [4], [12]], q:[[1], [-5]], qb:[[2], [10]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{4}$, ${ }M_{1}$, ${ }M_{3}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ | ${}M_{4}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | 0 | t^2.107 + t^2.336 + t^2.656 + 2*t^2.885 + t^3.344 + t^3.435 + 2*t^3.664 + t^3.893 + t^3.984 + 2*t^4.213 + 2*t^4.443 + t^4.672 + t^4.763 + 3*t^4.992 + 2*t^5.221 + t^5.312 + 3*t^5.541 + 4*t^5.771 + 2*t^6.091 + 5*t^6.32 + 4*t^6.549 + t^6.64 + t^6.688 + t^6.779 + 4*t^6.869 + 6*t^7.099 + 4*t^7.328 + 2*t^7.419 + 6*t^7.648 - t^7.787 + 6*t^7.877 + 2*t^7.968 + t^8.107 + 5*t^8.197 - 3*t^8.336 + 8*t^8.427 - 2*t^8.565 + 5*t^8.656 + 2*t^8.746 - 4*t^8.885 + 7*t^8.976 - t^4.557/y + t^7.672/y + t^7.763/y + (3*t^7.992)/y + (2*t^8.221)/y + t^8.451/y + (3*t^8.541)/y + t^8.68/y + (4*t^8.771)/y - t^4.557*y + t^7.672*y + t^7.763*y + 3*t^7.992*y + 2*t^8.221*y + t^8.451*y + 3*t^8.541*y + t^8.68*y + 4*t^8.771*y | g1^5*t^2.107 + t^2.336/g1^3 + g1^12*t^2.656 + 2*g1^4*t^2.885 + t^3.344/g1^12 + g1^11*t^3.435 + 2*g1^3*t^3.664 + t^3.893/g1^5 + g1^18*t^3.984 + 2*g1^10*t^4.213 + 2*g1^2*t^4.443 + t^4.672/g1^6 + g1^17*t^4.763 + 3*g1^9*t^4.992 + 2*g1*t^5.221 + g1^24*t^5.312 + 3*g1^16*t^5.541 + 4*g1^8*t^5.771 + 2*g1^23*t^6.091 + 5*g1^15*t^6.32 + 4*g1^7*t^6.549 + g1^30*t^6.64 + t^6.688/g1^24 + t^6.779/g1 + 4*g1^22*t^6.869 + 6*g1^14*t^7.099 + 4*g1^6*t^7.328 + 2*g1^29*t^7.419 + 6*g1^21*t^7.648 - t^7.787/g1^10 + 6*g1^13*t^7.877 + 2*g1^36*t^7.968 + g1^5*t^8.107 + 5*g1^28*t^8.197 - (3*t^8.336)/g1^3 + 8*g1^20*t^8.427 - (2*t^8.565)/g1^11 + 5*g1^12*t^8.656 + 2*g1^35*t^8.746 - 4*g1^4*t^8.885 + 7*g1^27*t^8.976 - t^4.557/(g1^2*y) + t^7.672/(g1^6*y) + (g1^17*t^7.763)/y + (3*g1^9*t^7.992)/y + (2*g1*t^8.221)/y + t^8.451/(g1^7*y) + (3*g1^16*t^8.541)/y + t^8.68/(g1^15*y) + (4*g1^8*t^8.771)/y - (t^4.557*y)/g1^2 + (t^7.672*y)/g1^6 + g1^17*t^7.763*y + 3*g1^9*t^7.992*y + 2*g1*t^8.221*y + (t^8.451*y)/g1^7 + 3*g1^16*t^8.541*y + (t^8.68*y)/g1^15 + 4*g1^8*t^8.771*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 |
---|---|---|---|---|---|---|---|---|
2794 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6191 | 0.8066 | 0.7675 | [M:[0.9622, 1.1133, 0.9622, 0.8867, 0.6699], q:[0.7406, 0.2972], qb:[0.4811, 0.4056], phi:[0.5189]] | t^2.01 + t^2.108 + t^2.335 + t^2.66 + 2*t^2.887 + t^3.34 + t^3.438 + 2*t^3.665 + t^3.892 + t^4.02 + t^4.118 + 2*t^4.217 + t^4.345 + 2*t^4.443 + 2*t^4.67 + t^4.769 + 2*t^4.896 + 3*t^4.995 + 2*t^5.222 + t^5.32 + t^5.35 + t^5.448 + 3*t^5.547 + 2*t^5.675 + 4*t^5.773 + t^5.901 - t^4.557/y - t^4.557*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 |
---|---|---|---|---|---|---|---|---|---|
345 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ | 0.6019 | 0.7721 | 0.7795 | [M:[0.9502, 1.1494, 0.9502, 0.8506], q:[0.7376, 0.3122], qb:[0.4253, 0.4253], phi:[0.5249]] | 2*t^2.213 + t^2.552 + 2*t^2.851 + t^3.448 + 2*t^3.489 + 2*t^3.787 + 3*t^4.127 + 3*t^4.425 + 2*t^4.764 + 4*t^5.063 + t^5.104 + 2*t^5.402 + 6*t^5.701 - t^6. - t^4.575/y - t^4.575*y | detail |