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 |
---|---|---|---|---|---|---|---|---|---|
46448 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ | 0.6178 | 0.753 | 0.8204 | [M:[1.1598, 0.7771, 0.8402, 0.7693, 1.2229], q:[0.3846, 0.4556], qb:[0.8383, 0.7752], phi:[0.3866]] | [M:[[-3, -3], [2, 4], [3, 3], [-6, -8], [-2, -4]], q:[[-3, -4], [6, 7]], qb:[[1, 0], [0, 1]], phi:[[-1, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}$, ${ }M_{5}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}^{3}q_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{1}q_{2}$ | ${}\phi_{1}^{3}q_{1}q_{2}$ | -1 | t^2.308 + t^2.32 + t^2.521 + t^3.468 + t^3.479 + t^3.669 + t^3.68 + t^3.881 + t^3.893 + t^4.616 + t^4.627 + t^4.639 + t^4.828 + 2*t^4.84 + t^5.041 + t^5.775 + t^5.787 + t^5.976 + 2*t^5.988 - t^6. - t^6.012 + 2*t^6.189 + 2*t^6.201 + t^6.402 + t^6.414 + t^6.923 + 2*t^6.935 + t^6.947 + t^6.959 + 2*t^7.136 + 2*t^7.148 - t^7.172 + t^7.337 + 2*t^7.349 + t^7.361 - t^7.373 + t^7.55 + 2*t^7.562 + t^7.763 + t^7.775 + t^7.786 + t^8.083 + t^8.095 + t^8.284 + 2*t^8.296 - t^8.308 - 2*t^8.32 - t^8.331 + 2*t^8.497 + 3*t^8.509 - 2*t^8.521 - 2*t^8.532 + 2*t^8.71 + 2*t^8.722 + t^8.923 + t^8.935 - t^4.16/y - t^6.468/y - t^6.479/y + t^7.627/y + t^7.828/y + (2*t^7.84)/y + t^7.852/y + t^8.787/y + t^8.976/y + (3*t^8.988)/y - t^4.16*y - t^6.468*y - t^6.479*y + t^7.627*y + t^7.828*y + 2*t^7.84*y + t^7.852*y + t^8.787*y + t^8.976*y + 3*t^8.988*y | t^2.308/(g1^6*g2^8) + t^2.32/(g1^2*g2^2) + g1^3*g2^3*t^2.521 + t^3.468/(g1^7*g2^9) + t^3.479/(g1^3*g2^3) + t^3.669/(g1^2*g2^4) + g1^2*g2^2*t^3.68 + g1^7*g2^7*t^3.881 + g1^11*g2^13*t^3.893 + t^4.616/(g1^12*g2^16) + t^4.627/(g1^8*g2^10) + t^4.639/(g1^4*g2^4) + t^4.828/(g1^3*g2^5) + 2*g1*g2*t^4.84 + g1^6*g2^6*t^5.041 + t^5.775/(g1^13*g2^17) + t^5.787/(g1^9*g2^11) + t^5.976/(g1^8*g2^12) + (2*t^5.988)/(g1^4*g2^6) - t^6. - g1^4*g2^6*t^6.012 + (2*g1*t^6.189)/g2 + 2*g1^5*g2^5*t^6.201 + g1^10*g2^10*t^6.402 + g1^14*g2^16*t^6.414 + t^6.923/(g1^18*g2^24) + (2*t^6.935)/(g1^14*g2^18) + t^6.947/(g1^10*g2^12) + t^6.959/(g1^6*g2^6) + (2*t^7.136)/(g1^9*g2^13) + (2*t^7.148)/(g1^5*g2^7) - g1^3*g2^5*t^7.172 + t^7.337/(g1^4*g2^8) + (2*t^7.349)/g2^2 + g1^4*g2^4*t^7.361 - g1^8*g2^10*t^7.373 + g1^5*g2^3*t^7.55 + 2*g1^9*g2^9*t^7.562 + g1^14*g2^14*t^7.763 + g1^18*g2^20*t^7.775 + g1^22*g2^26*t^7.786 + t^8.083/(g1^19*g2^25) + t^8.095/(g1^15*g2^19) + t^8.284/(g1^14*g2^20) + (2*t^8.296)/(g1^10*g2^14) - t^8.308/(g1^6*g2^8) - (2*t^8.32)/(g1^2*g2^2) - g1^2*g2^4*t^8.331 + (2*t^8.497)/(g1^5*g2^9) + (3*t^8.509)/(g1*g2^3) - 2*g1^3*g2^3*t^8.521 - 2*g1^7*g2^9*t^8.532 + 2*g1^4*g2^2*t^8.71 + 2*g1^8*g2^8*t^8.722 + g1^13*g2^13*t^8.923 + g1^17*g2^19*t^8.935 - t^4.16/(g1*g2*y) - t^6.468/(g1^7*g2^9*y) - t^6.479/(g1^3*g2^3*y) + t^7.627/(g1^8*g2^10*y) + t^7.828/(g1^3*g2^5*y) + (2*g1*g2*t^7.84)/y + (g1^5*g2^7*t^7.852)/y + t^8.787/(g1^9*g2^11*y) + t^8.976/(g1^8*g2^12*y) + (3*t^8.988)/(g1^4*g2^6*y) - (t^4.16*y)/(g1*g2) - (t^6.468*y)/(g1^7*g2^9) - (t^6.479*y)/(g1^3*g2^3) + (t^7.627*y)/(g1^8*g2^10) + (t^7.828*y)/(g1^3*g2^5) + 2*g1*g2*t^7.84*y + g1^5*g2^7*t^7.852*y + (t^8.787*y)/(g1^9*g2^11) + (t^8.976*y)/(g1^8*g2^12) + (3*t^8.988*y)/(g1^4*g2^6) |
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 |
---|---|---|---|---|---|---|---|---|
48159 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ | 0.6327 | 0.7781 | 0.8131 | [M:[1.1632, 0.7448, 0.8368, 0.8061, 1.2552, 0.8061], q:[0.4031, 0.4337], qb:[0.8521, 0.7601], phi:[0.3877]] | t^2.326 + 2*t^2.418 + t^2.51 + t^3.49 + t^3.674 + 2*t^3.766 + t^3.858 + t^4.653 + 2*t^4.745 + 5*t^4.837 + 2*t^4.929 + t^5.021 - t^6. - t^4.163/y - t^4.163*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 |
---|---|---|---|---|---|---|---|---|---|
46225 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6366 | 0.7855 | 0.8105 | [M:[1.1465, 0.7368, 0.8535, 0.7919], q:[0.396, 0.4575], qb:[0.8673, 0.7506], phi:[0.3822]] | t^2.21 + t^2.293 + t^2.376 + t^2.56 + t^3.44 + t^3.522 + t^3.707 + t^3.892 + t^3.974 + t^4.421 + t^4.503 + 2*t^4.586 + t^4.669 + t^4.751 + t^4.771 + 2*t^4.853 + t^4.936 + t^5.121 + t^5.65 + t^5.733 + t^5.815 + t^5.898 - t^6. - t^4.147/y - t^4.147*y | detail |