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 |
---|---|---|---|---|---|---|---|---|---|
3293 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6484 | 0.8534 | 0.7598 | [M:[1.0, 1.0393, 0.9214, 0.7598, 0.6812, 0.7205], q:[0.7598, 0.2402], qb:[0.5196, 0.5589], phi:[0.4804]] | [M:[[0], [4], [-8], [1], [-7], [-3]], q:[[1], [-1]], qb:[[2], [6]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{5}$, ${ }M_{6}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{3}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{4}M_{5}$, ${ }M_{6}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{1}M_{4}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{3}$, ${ }\phi_{1}^{2}q_{2}^{4}$, ${ }M_{2}M_{3}$, ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ | ${}$ | -1 | t^2.044 + t^2.162 + 2*t^2.279 + t^2.397 + t^2.764 + t^2.882 + t^3. + t^3.118 + t^3.838 + t^4.087 + t^4.205 + 3*t^4.323 + 3*t^4.441 + 5*t^4.559 + 3*t^4.677 + 2*t^4.795 + t^4.808 + 2*t^4.926 + 3*t^5.044 + 4*t^5.162 + 4*t^5.279 + 3*t^5.397 + t^5.515 + t^5.528 + t^5.646 + 2*t^5.764 + t^5.882 - t^6. + t^6.118 + t^6.131 + t^6.236 + t^6.249 + 3*t^6.367 + 3*t^6.485 + 6*t^6.603 + 6*t^6.721 + 8*t^6.838 + t^6.852 + 6*t^6.956 + 2*t^6.97 + 4*t^7.074 + 4*t^7.087 + 2*t^7.192 + 6*t^7.205 + 8*t^7.323 + 8*t^7.441 + 7*t^7.559 + t^7.572 + 7*t^7.677 + 2*t^7.69 + 3*t^7.795 + 4*t^7.808 + t^7.913 + 4*t^7.926 + 2*t^8.044 + t^8.175 - 4*t^8.279 + 2*t^8.293 - 2*t^8.397 + 4*t^8.411 - t^8.515 + 5*t^8.528 + t^8.633 + 8*t^8.646 + 4*t^8.764 + 6*t^8.882 + t^8.895 - t^4.441/y - t^6.485/y - t^6.603/y - t^6.721/y + (2*t^7.323)/y + (3*t^7.441)/y + (2*t^7.559)/y + (3*t^7.677)/y + t^7.808/y + (2*t^7.926)/y + (4*t^8.044)/y + (6*t^8.162)/y + (5*t^8.279)/y + (4*t^8.397)/y + t^8.515/y - t^8.528/y - t^8.764/y + (2*t^8.882)/y - t^4.441*y - t^6.485*y - t^6.603*y - t^6.721*y + 2*t^7.323*y + 3*t^7.441*y + 2*t^7.559*y + 3*t^7.677*y + t^7.808*y + 2*t^7.926*y + 4*t^8.044*y + 6*t^8.162*y + 5*t^8.279*y + 4*t^8.397*y + t^8.515*y - t^8.528*y - t^8.764*y + 2*t^8.882*y | t^2.044/g1^7 + t^2.162/g1^3 + 2*g1*t^2.279 + g1^5*t^2.397 + t^2.764/g1^8 + t^2.882/g1^4 + t^3. + g1^4*t^3.118 + g1^3*t^3.838 + t^4.087/g1^14 + t^4.205/g1^10 + (3*t^4.323)/g1^6 + (3*t^4.441)/g1^2 + 5*g1^2*t^4.559 + 3*g1^6*t^4.677 + 2*g1^10*t^4.795 + t^4.808/g1^15 + (2*t^4.926)/g1^11 + (3*t^5.044)/g1^7 + (4*t^5.162)/g1^3 + 4*g1*t^5.279 + 3*g1^5*t^5.397 + g1^9*t^5.515 + t^5.528/g1^16 + t^5.646/g1^12 + (2*t^5.764)/g1^8 + t^5.882/g1^4 - t^6. + g1^4*t^6.118 + t^6.131/g1^21 + g1^8*t^6.236 + t^6.249/g1^17 + (3*t^6.367)/g1^13 + (3*t^6.485)/g1^9 + (6*t^6.603)/g1^5 + (6*t^6.721)/g1 + 8*g1^3*t^6.838 + t^6.852/g1^22 + 6*g1^7*t^6.956 + (2*t^6.97)/g1^18 + 4*g1^11*t^7.074 + (4*t^7.087)/g1^14 + 2*g1^15*t^7.192 + (6*t^7.205)/g1^10 + (8*t^7.323)/g1^6 + (8*t^7.441)/g1^2 + 7*g1^2*t^7.559 + t^7.572/g1^23 + 7*g1^6*t^7.677 + (2*t^7.69)/g1^19 + 3*g1^10*t^7.795 + (4*t^7.808)/g1^15 + g1^14*t^7.913 + (4*t^7.926)/g1^11 + (2*t^8.044)/g1^7 + t^8.175/g1^28 - 4*g1*t^8.279 + (2*t^8.293)/g1^24 - 2*g1^5*t^8.397 + (4*t^8.411)/g1^20 - g1^9*t^8.515 + (5*t^8.528)/g1^16 + g1^13*t^8.633 + (8*t^8.646)/g1^12 + (4*t^8.764)/g1^8 + (6*t^8.882)/g1^4 + t^8.895/g1^29 - t^4.441/(g1^2*y) - t^6.485/(g1^9*y) - t^6.603/(g1^5*y) - t^6.721/(g1*y) + (2*t^7.323)/(g1^6*y) + (3*t^7.441)/(g1^2*y) + (2*g1^2*t^7.559)/y + (3*g1^6*t^7.677)/y + t^7.808/(g1^15*y) + (2*t^7.926)/(g1^11*y) + (4*t^8.044)/(g1^7*y) + (6*t^8.162)/(g1^3*y) + (5*g1*t^8.279)/y + (4*g1^5*t^8.397)/y + (g1^9*t^8.515)/y - t^8.528/(g1^16*y) - t^8.764/(g1^8*y) + (2*t^8.882)/(g1^4*y) - (t^4.441*y)/g1^2 - (t^6.485*y)/g1^9 - (t^6.603*y)/g1^5 - (t^6.721*y)/g1 + (2*t^7.323*y)/g1^6 + (3*t^7.441*y)/g1^2 + 2*g1^2*t^7.559*y + 3*g1^6*t^7.677*y + (t^7.808*y)/g1^15 + (2*t^7.926*y)/g1^11 + (4*t^8.044*y)/g1^7 + (6*t^8.162*y)/g1^3 + 5*g1*t^8.279*y + 4*g1^5*t^8.397*y + g1^9*t^8.515*y - (t^8.528*y)/g1^16 - (t^8.764*y)/g1^8 + (2*t^8.882*y)/g1^4 |
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 |
---|---|---|---|---|---|---|---|---|
3724 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}M_{7}$ | 0.6284 | 0.8159 | 0.7702 | [M:[1.0, 1.0362, 0.9276, 0.759, 0.6867, 0.7229, 1.2771], q:[0.759, 0.241], qb:[0.5181, 0.5543], phi:[0.4819]] | t^2.06 + 2*t^2.277 + t^2.386 + t^2.783 + t^2.891 + t^3. + t^3.109 + 2*t^3.831 + t^4.12 + 2*t^4.337 + t^4.446 + 4*t^4.554 + 3*t^4.663 + 2*t^4.771 + t^4.843 + t^4.951 + 2*t^5.06 + 3*t^5.169 + 3*t^5.277 + 3*t^5.386 + t^5.494 + t^5.566 + t^5.674 + 2*t^5.783 + 2*t^5.891 - 2*t^6. - t^4.446/y - t^4.446*y | detail | |
3725 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6685 | 0.8912 | 0.7501 | [M:[1.0, 1.0422, 0.9157, 0.7605, 0.6762, 0.7184, 0.7184], q:[0.7605, 0.2395], qb:[0.5211, 0.5632], phi:[0.4789]] | t^2.029 + 2*t^2.155 + 2*t^2.282 + t^2.408 + t^2.747 + t^2.874 + t^3. + t^3.126 + t^4.057 + 2*t^4.184 + 5*t^4.31 + 5*t^4.437 + 6*t^4.563 + 3*t^4.69 + t^4.776 + 2*t^4.816 + 3*t^4.902 + 4*t^5.029 + 5*t^5.155 + 5*t^5.282 + 3*t^5.408 + t^5.494 + t^5.535 + t^5.621 + 2*t^5.747 - 2*t^6. - t^4.437/y - t^4.437*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 |
---|---|---|---|---|---|---|---|---|---|
2779 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ | 0.6504 | 0.8579 | 0.7582 | [M:[1.0, 1.0491, 0.9019, 0.7299, 0.6965, 0.6808], q:[0.7623, 0.2377], qb:[0.5569, 0.5412], phi:[0.4755]] | t^2.042 + t^2.09 + t^2.19 + t^2.337 + t^2.384 + t^2.706 + t^2.853 + t^3. + t^3.147 + t^3.763 + t^4.085 + t^4.132 + t^4.179 + t^4.232 + t^4.279 + 2*t^4.379 + 2*t^4.426 + t^4.474 + t^4.526 + t^4.574 + 2*t^4.674 + 2*t^4.721 + t^4.748 + 2*t^4.768 + t^4.795 + 2*t^4.895 + t^4.942 + 2*t^5.042 + t^5.09 + 3*t^5.19 + 2*t^5.237 + 2*t^5.337 + t^5.384 + t^5.411 + t^5.484 + t^5.531 + t^5.558 + 2*t^5.706 + t^5.806 + 2*t^5.853 - 2*t^6. - t^4.426/y - t^4.426*y | detail |