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 |
---|---|---|---|---|---|---|---|---|---|
54404 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{7}\phi_{1}^{2}$ | 0.6945 | 0.8529 | 0.8142 | [M:[1.016, 0.9408, 0.984, 1.0485, 1.0053, 0.9515, 1.0053], q:[0.5243, 0.4597], qb:[0.5349, 0.4917], phi:[0.4973]] | [M:[[6, 6], [-16, 4], [-6, -6], [12, -8], [2, 2], [-12, 8], [2, 2]], q:[[6, -4], [-12, -2]], qb:[[10, 0], [0, 10]], phi:[[-1, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{2}$, ${ }M_{6}$, ${ }M_{3}$, ${ }M_{5}$, ${ }M_{7}$, ${ }M_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}M_{7}$, ${ }M_{1}M_{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{1}M_{6}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{7}$ | ${}$ | -3 | t^2.822 + t^2.854 + t^2.952 + 2*t^3.016 + t^3.048 + t^3.08 + t^4.25 + t^4.346 + t^4.442 + t^4.444 + t^4.476 + t^4.54 + t^4.572 + t^4.638 + t^4.67 + t^4.702 + t^5.645 + t^5.677 + t^5.709 + 2*t^5.838 + 2*t^5.87 + t^5.902 + t^5.934 + t^5.968 - 3*t^6. + 2*t^6.032 + 2*t^6.064 + 2*t^6.096 - t^6.098 + t^6.128 - t^6.13 + t^6.16 - t^6.194 - t^6.226 + t^7.073 + t^7.105 + t^7.169 + t^7.201 + t^7.202 + t^7.265 + t^7.266 + t^7.297 + 2*t^7.298 + t^7.33 + t^7.362 + 2*t^7.394 + t^7.426 + t^7.458 + t^7.46 + t^7.49 + t^7.492 + t^7.522 + t^7.524 + 2*t^7.556 + t^7.588 + t^7.62 - t^7.622 + t^7.652 + t^7.654 + t^7.686 + t^7.718 + t^7.75 + t^7.782 + t^8.467 + t^8.499 + t^8.501 + t^8.531 + t^8.563 + t^8.597 - t^8.629 + 2*t^8.661 + 3*t^8.693 + t^8.694 + 2*t^8.725 + t^8.757 - t^8.758 + 2*t^8.789 + t^8.79 - 3*t^8.822 - 2*t^8.854 + t^8.885 + 3*t^8.886 + t^8.888 + 2*t^8.918 + t^8.95 - 3*t^8.952 + 2*t^8.982 - t^4.492/y - t^7.314/y + t^7.476/y - t^7.508/y + t^7.67/y + t^8.677/y + t^8.774/y + t^8.806/y + (2*t^8.838)/y + (3*t^8.87)/y + (2*t^8.902)/y + t^8.934/y + (2*t^8.968)/y - t^4.492*y - t^7.314*y + t^7.476*y - t^7.508*y + t^7.67*y + t^8.677*y + t^8.774*y + t^8.806*y + 2*t^8.838*y + 3*t^8.87*y + 2*t^8.902*y + t^8.934*y + 2*t^8.968*y | (g2^4*t^2.822)/g1^16 + (g2^8*t^2.854)/g1^12 + t^2.952/(g1^6*g2^6) + 2*g1^2*g2^2*t^3.016 + g1^6*g2^6*t^3.048 + g1^10*g2^10*t^3.08 + t^4.25/(g1^25*g2^5) + (g2^7*t^4.346)/g1^13 + (g2^19*t^4.442)/g1 + t^4.444/(g1^7*g2^7) + t^4.476/(g1^3*g2^3) + g1^5*g2^5*t^4.54 + g1^9*g2^9*t^4.572 + (g1^11*t^4.638)/g2^9 + (g1^15*t^4.67)/g2^5 + (g1^19*t^4.702)/g2 + (g2^8*t^5.645)/g1^32 + (g2^12*t^5.677)/g1^28 + (g2^16*t^5.709)/g1^24 + (2*g2^6*t^5.838)/g1^14 + (2*g2^10*t^5.87)/g1^10 + (g2^14*t^5.902)/g1^6 + (g2^18*t^5.934)/g1^2 + t^5.968/(g1^4*g2^4) - 3*t^6. + 2*g1^4*g2^4*t^6.032 + 2*g1^8*g2^8*t^6.064 + 2*g1^12*g2^12*t^6.096 - (g1^6*t^6.098)/g2^14 + g1^16*g2^16*t^6.128 - (g1^10*t^6.13)/g2^10 + g1^20*g2^20*t^6.16 - (g1^18*t^6.194)/g2^2 - g1^22*g2^2*t^6.226 + t^7.073/(g1^41*g2) + (g2^3*t^7.105)/g1^37 + (g2^11*t^7.169)/g1^29 + (g2^15*t^7.201)/g1^25 + t^7.202/(g1^31*g2^11) + (g2^23*t^7.265)/g1^17 + t^7.266/(g1^23*g2^3) + (g2^27*t^7.297)/g1^13 + (2*g2*t^7.298)/g1^19 + (g2^5*t^7.33)/g1^15 + (g2^9*t^7.362)/g1^11 + (2*g2^13*t^7.394)/g1^7 + (g2^17*t^7.426)/g1^3 + g1*g2^21*t^7.458 + t^7.46/(g1^5*g2^5) + g1^5*g2^25*t^7.49 + t^7.492/(g1*g2) + g1^9*g2^29*t^7.522 + g1^3*g2^3*t^7.524 + 2*g1^7*g2^7*t^7.556 + g1^11*g2^11*t^7.588 + g1^15*g2^15*t^7.62 - (g1^9*t^7.622)/g2^11 + g1^19*g2^19*t^7.652 + (g1^13*t^7.654)/g2^7 + (g1^17*t^7.686)/g2^3 + g1^21*g2*t^7.718 + g1^25*g2^5*t^7.75 + g1^29*g2^9*t^7.782 + (g2^12*t^8.467)/g1^48 + (g2^16*t^8.499)/g1^44 + t^8.501/(g1^50*g2^10) + (g2^20*t^8.531)/g1^40 + (g2^24*t^8.563)/g1^36 + (g2^2*t^8.597)/g1^38 - (g2^6*t^8.629)/g1^34 + (2*g2^10*t^8.661)/g1^30 + (3*g2^14*t^8.693)/g1^26 + t^8.694/(g1^32*g2^12) + (2*g2^18*t^8.725)/g1^22 + (g2^22*t^8.757)/g1^18 - t^8.758/(g1^24*g2^4) + (2*g2^26*t^8.789)/g1^14 + t^8.79/g1^20 - (3*g2^4*t^8.822)/g1^16 - (2*g2^8*t^8.854)/g1^12 + (g2^38*t^8.885)/g1^2 + (3*g2^12*t^8.886)/g1^8 + t^8.888/(g1^14*g2^14) + (2*g2^16*t^8.918)/g1^4 + g2^20*t^8.95 - (3*t^8.952)/(g1^6*g2^6) + 2*g1^4*g2^24*t^8.982 - t^4.492/(g1*g2*y) - (g2^3*t^7.314)/(g1^17*y) + t^7.476/(g1^3*g2^3*y) - (g1*g2*t^7.508)/y + (g1^15*t^7.67)/(g2^5*y) + (g2^12*t^8.677)/(g1^28*y) + t^8.774/(g1^22*g2^2*y) + (g2^2*t^8.806)/(g1^18*y) + (2*g2^6*t^8.838)/(g1^14*y) + (3*g2^10*t^8.87)/(g1^10*y) + (2*g2^14*t^8.902)/(g1^6*y) + (g2^18*t^8.934)/(g1^2*y) + (2*t^8.968)/(g1^4*g2^4*y) - (t^4.492*y)/(g1*g2) - (g2^3*t^7.314*y)/g1^17 + (t^7.476*y)/(g1^3*g2^3) - g1*g2*t^7.508*y + (g1^15*t^7.67*y)/g2^5 + (g2^12*t^8.677*y)/g1^28 + (t^8.774*y)/(g1^22*g2^2) + (g2^2*t^8.806*y)/g1^18 + (2*g2^6*t^8.838*y)/g1^14 + (3*g2^10*t^8.87*y)/g1^10 + (2*g2^14*t^8.902*y)/g1^6 + (g2^18*t^8.934*y)/g1^2 + (2*t^8.968*y)/(g1^4*g2^4) |
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 |
---|---|---|---|---|---|---|---|---|
56560 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{7}\phi_{1}^{2}$ + ${ }M_{1}M_{8}$ | 0.6971 | 0.8562 | 0.8141 | [M:[1.0387, 0.9343, 0.9613, 1.0398, 1.0129, 0.9602, 1.0129, 0.9613], q:[0.5199, 0.4413], qb:[0.5457, 0.5188], phi:[0.4935]] | t^2.803 + t^2.881 + 2*t^2.884 + 2*t^3.039 + t^3.194 + t^4.129 + t^4.361 + t^4.364 + t^4.442 + t^4.594 + t^4.597 + t^4.6 + t^4.674 + t^4.678 + t^4.755 + t^5.606 + t^5.684 + t^5.687 + t^5.761 + t^5.764 + 2*t^5.768 + 2*t^5.842 + t^5.919 + 3*t^5.923 - 4*t^6. - t^4.481/y - t^4.481*y | detail | |
56558 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{7}\phi_{1}^{2}$ + ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6943 | 0.8518 | 0.8152 | [M:[1.0229, 0.9466, 0.9771, 1.0382, 1.0076, 0.9618, 1.0076], q:[0.5191, 0.458], qb:[0.5344, 0.5038], phi:[0.4962]] | t^2.84 + t^2.885 + t^2.931 + 2*t^3.023 + t^3.069 + t^3.115 + t^4.237 + t^4.374 + t^4.42 + t^4.466 + t^4.511 + t^4.557 + 2*t^4.603 + t^4.649 + t^4.695 + t^5.679 + t^5.725 + t^5.771 + 2*t^5.863 + 2*t^5.908 + 2*t^5.954 - 2*t^6. - t^4.489/y - t^4.489*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 |
---|---|---|---|---|---|---|---|---|---|
46838 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{4}M_{6}$ | 0.6951 | 0.8535 | 0.8144 | [M:[1.0236, 0.9385, 0.9764, 1.0457, 1.0079, 0.9543], q:[0.5229, 0.4535], qb:[0.5386, 0.5008], phi:[0.4961]] | t^2.816 + t^2.863 + t^2.929 + t^2.976 + t^3.024 + t^3.071 + t^3.118 + t^4.209 + t^4.351 + t^4.417 + t^4.465 + t^4.493 + t^4.559 + t^4.606 + t^4.625 + t^4.673 + t^4.72 + t^5.631 + t^5.678 + t^5.726 + t^5.792 + 2*t^5.839 + t^5.886 + t^5.906 + t^5.934 + t^5.953 + t^5.981 - 2*t^6. - t^4.488/y - t^4.488*y | detail |