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 |
---|---|---|---|---|---|---|---|---|---|
1452 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}M_{7}$ | 0.7104 | 0.8752 | 0.8117 | [M:[0.8402, 1.0648, 0.9352, 0.9697, 1.0303, 0.9697, 0.9352], q:[0.6274, 0.5324], qb:[0.4374, 0.4979], phi:[0.4762]] | [M:[[20, 12], [-8, -8], [8, 8], [4, -4], [-4, 4], [4, -4], [8, 8]], q:[[-16, -8], [-4, -4]], qb:[[8, 0], [0, 8]], phi:[[3, 1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }M_{3}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{6}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{7}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{6}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{6}$, ${ }M_{4}M_{7}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}^{4}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$ | ${}$ | -4 | t^2.521 + 2*t^2.806 + t^2.857 + 2*t^2.909 + t^3.376 + t^4.053 + t^4.234 + t^4.338 + t^4.416 + t^4.52 + 2*t^4.623 + t^4.805 + t^4.908 + t^5.041 + t^5.193 + 2*t^5.326 + t^5.378 + t^5.43 + 2*t^5.611 + 2*t^5.663 + 3*t^5.715 + 2*t^5.767 + 2*t^5.818 - 4*t^6. - t^6.103 + t^6.182 + t^6.233 - t^6.285 - t^6.389 - t^6.57 + t^6.574 + t^6.752 + t^6.755 + 2*t^6.859 + t^6.91 + t^6.937 + 2*t^6.962 + 2*t^7.04 + t^7.092 + 3*t^7.144 + 2*t^7.222 + t^7.247 + t^7.274 + 3*t^7.325 + 3*t^7.429 + t^7.48 + 2*t^7.532 - t^7.559 + t^7.562 + t^7.61 + t^7.714 - t^7.766 + t^7.792 + 2*t^7.847 + t^7.899 - t^7.947 + t^7.951 + t^7.999 + t^8.102 + t^8.106 + 2*t^8.132 + t^8.18 + 2*t^8.184 + 2*t^8.236 + 2*t^8.287 - t^8.336 + t^8.391 + 2*t^8.417 + 3*t^8.469 + t^8.569 + 4*t^8.572 + 2*t^8.624 + t^8.651 + 4*t^8.676 - t^8.702 + 2*t^8.728 + t^8.754 - 9*t^8.806 + t^8.832 - 2*t^8.857 - 9*t^8.909 + t^8.936 + t^8.961 - t^4.429/y - t^6.949/y - t^7.234/y - t^7.286/y - t^7.338/y + t^7.52/y + t^7.571/y + t^7.623/y + t^7.908/y + (2*t^8.326)/y + t^8.378/y + (2*t^8.43)/y + t^8.611/y + (2*t^8.663)/y + (4*t^8.715)/y + (2*t^8.767)/y + t^8.818/y + t^8.897/y - t^4.429*y - t^6.949*y - t^7.234*y - t^7.286*y - t^7.338*y + t^7.52*y + t^7.571*y + t^7.623*y + t^7.908*y + 2*t^8.326*y + t^8.378*y + 2*t^8.43*y + t^8.611*y + 2*t^8.663*y + 4*t^8.715*y + 2*t^8.767*y + t^8.818*y + t^8.897*y | g1^20*g2^12*t^2.521 + 2*g1^8*g2^8*t^2.806 + g1^6*g2^2*t^2.857 + (2*g1^4*t^2.909)/g2^4 + t^3.376/g1^16 + g1^19*g2*t^4.053 + g1^11*g2^9*t^4.234 + (g1^7*t^4.338)/g2^3 + g1^3*g2^17*t^4.416 + (g2^5*t^4.52)/g1 + (2*t^4.623)/(g1^5*g2^7) + (g2*t^4.805)/g1^13 + t^4.908/(g1^17*g2^11) + g1^40*g2^24*t^5.041 + t^5.193/(g1^29*g2^15) + 2*g1^28*g2^20*t^5.326 + g1^26*g2^14*t^5.378 + g1^24*g2^8*t^5.43 + 2*g1^16*g2^16*t^5.611 + 2*g1^14*g2^10*t^5.663 + 3*g1^12*g2^4*t^5.715 + (2*g1^10*t^5.767)/g2^2 + (2*g1^8*t^5.818)/g2^8 - 4*t^6. - t^6.103/(g1^4*g2^12) + (g2^8*t^6.182)/g1^8 + (g2^2*t^6.233)/g1^10 - t^6.285/(g1^12*g2^4) - t^6.389/(g1^16*g2^16) - t^6.57/(g1^24*g2^8) + g1^39*g2^13*t^6.574 + t^6.752/g1^32 + g1^31*g2^21*t^6.755 + 2*g1^27*g2^9*t^6.859 + g1^25*g2^3*t^6.91 + g1^23*g2^29*t^6.937 + (2*g1^23*t^6.962)/g2^3 + 2*g1^19*g2^17*t^7.04 + g1^17*g2^11*t^7.092 + 3*g1^15*g2^5*t^7.144 + 2*g1^11*g2^25*t^7.222 + (g1^11*t^7.247)/g2^7 + g1^9*g2^19*t^7.274 + 3*g1^7*g2^13*t^7.325 + 3*g1^3*g2*t^7.429 + (g1*t^7.48)/g2^5 + (2*t^7.532)/(g1*g2^11) - (g2^15*t^7.559)/g1^3 + g1^60*g2^36*t^7.562 + (g2^9*t^7.61)/g1^5 + t^7.714/(g1^9*g2^3) - t^7.766/(g1^11*g2^9) + (g2^17*t^7.792)/g1^13 + 2*g1^48*g2^32*t^7.847 + g1^46*g2^26*t^7.899 - t^7.947/(g1^19*g2) + g1^44*g2^20*t^7.951 + t^7.999/(g1^21*g2^7) + t^8.102/(g1^25*g2^19) + g1^38*g2^2*t^8.106 + 2*g1^36*g2^28*t^8.132 + (g2*t^8.18)/g1^29 + 2*g1^34*g2^22*t^8.184 + 2*g1^32*g2^16*t^8.236 + 2*g1^30*g2^10*t^8.287 - t^8.336/(g1^35*g2^17) + (g1^26*t^8.391)/g2^2 + 2*g1^24*g2^24*t^8.417 + 3*g1^22*g2^18*t^8.469 + t^8.569/(g1^45*g2^15) + 4*g1^18*g2^6*t^8.572 + 2*g1^16*t^8.624 + g1^14*g2^26*t^8.651 + (4*g1^14*t^8.676)/g2^6 - g1^12*g2^20*t^8.702 + (2*g1^12*t^8.728)/g2^12 + g1^10*g2^14*t^8.754 - 9*g1^8*g2^8*t^8.806 + g1^6*g2^34*t^8.832 - 2*g1^6*g2^2*t^8.857 - (9*g1^4*t^8.909)/g2^4 + g1^2*g2^22*t^8.936 + (g1^2*t^8.961)/g2^10 - (g1^3*g2*t^4.429)/y - (g1^23*g2^13*t^6.949)/y - (g1^11*g2^9*t^7.234)/y - (g1^9*g2^3*t^7.286)/y - (g1^7*t^7.338)/(g2^3*y) + (g2^5*t^7.52)/(g1*y) + t^7.571/(g1^3*g2*y) + t^7.623/(g1^5*g2^7*y) + t^7.908/(g1^17*g2^11*y) + (2*g1^28*g2^20*t^8.326)/y + (g1^26*g2^14*t^8.378)/y + (2*g1^24*g2^8*t^8.43)/y + (g1^16*g2^16*t^8.611)/y + (2*g1^14*g2^10*t^8.663)/y + (4*g1^12*g2^4*t^8.715)/y + (2*g1^10*t^8.767)/(g2^2*y) + (g1^8*t^8.818)/(g2^8*y) + (g1^4*g2^12*t^8.897)/y - g1^3*g2*t^4.429*y - g1^23*g2^13*t^6.949*y - g1^11*g2^9*t^7.234*y - g1^9*g2^3*t^7.286*y - (g1^7*t^7.338*y)/g2^3 + (g2^5*t^7.52*y)/g1 + (t^7.571*y)/(g1^3*g2) + (t^7.623*y)/(g1^5*g2^7) + (t^7.908*y)/(g1^17*g2^11) + 2*g1^28*g2^20*t^8.326*y + g1^26*g2^14*t^8.378*y + 2*g1^24*g2^8*t^8.43*y + g1^16*g2^16*t^8.611*y + 2*g1^14*g2^10*t^8.663*y + 4*g1^12*g2^4*t^8.715*y + (2*g1^10*t^8.767*y)/g2^2 + (g1^8*t^8.818*y)/g2^8 + g1^4*g2^12*t^8.897*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 |
---|---|---|---|---|---|---|---|---|
2532 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}M_{7}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ | 0.5852 | 0.7367 | 0.7944 | [X:[1.5761], M:[0.4239, 1.2718, 0.7282, 0.9674, 1.0326, 0.9674, 0.7282], q:[0.9402, 0.6359], qb:[0.3315, 0.3967], phi:[0.4239]] | 2*t^2.185 + t^2.544 + 2*t^2.902 + t^3.261 + t^3.456 + t^3.652 + t^4.011 + 3*t^4.369 + 3*t^4.728 + 5*t^5.087 + 3*t^5.446 + t^5.641 + 3*t^5.805 + 2*t^5.837 - 2*t^6. - t^4.272/y - t^4.272*y | detail | |
2531 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}M_{7}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ | 0.6374 | 0.7922 | 0.8046 | [M:[0.9961, 0.8962, 1.1038, 0.7885, 1.2115, 0.7885, 1.1038], q:[0.5558, 0.4481], qb:[0.3404, 0.7635], phi:[0.4731]] | 2*t^2.365 + t^2.838 + t^2.988 + 2*t^3.312 + t^3.461 + t^3.785 + t^3.958 + 2*t^4.108 + t^4.431 + 3*t^4.731 + t^4.754 + 2*t^5.204 + t^5.354 + 3*t^5.677 + 3*t^5.827 + t^5.977 - 3*t^6. - t^4.419/y - t^4.419*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 |
---|---|---|---|---|---|---|---|---|---|
941 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{5}M_{6}$ | 0.7054 | 0.8656 | 0.815 | [M:[0.8743, 1.0419, 0.9581, 0.9581, 1.0419, 0.9581], q:[0.6048, 0.521], qb:[0.4371, 0.521], phi:[0.479]] | t^2.623 + 4*t^2.874 + t^3.126 + t^3.377 + t^4.06 + 2*t^4.311 + 4*t^4.563 + 2*t^4.814 + t^5.066 + t^5.246 + 3*t^5.497 + 7*t^5.749 - t^6. - t^4.437/y - t^4.437*y | detail |