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 |
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# | 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 |
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3108 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ | 0.6463 | 0.8485 | 0.7618 | [M:[0.9789, 1.0632, 1.0211, 0.9368, 0.7447, 0.7868, 0.7868], q:[0.7447, 0.2763], qb:[0.4684, 0.4684], phi:[0.5105]] | [M:[[4], [-12], [-4], [12], [1], [-7], [-7]], q:[[1], [-5]], qb:[[6], [6]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{5}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{6}$, ${ }M_{7}$, ${ }M_{4}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{5}M_{7}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{7}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{7}q_{2}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{4}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{6}$, ${ }M_{3}M_{7}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }M_{7}\phi_{1}q_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}\phi_{1}^{2}$ | ${}M_{4}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ | -2 | 3*t^2.234 + 2*t^2.361 + t^2.811 + 2*t^3.063 + t^3.189 + t^3.766 + 3*t^4.342 + 6*t^4.468 + 6*t^4.595 + 3*t^4.721 + 3*t^5.045 + 2*t^5.171 + 6*t^5.297 + 5*t^5.424 + 2*t^5.55 + t^5.621 + t^5.874 - 2*t^6. + 3*t^6.126 + 2*t^6.253 + t^6.379 + 6*t^6.576 + 12*t^6.703 + 10*t^6.829 + 8*t^6.955 + 4*t^7.082 + 3*t^7.153 + 3*t^7.279 + 7*t^7.405 + 11*t^7.532 + 12*t^7.658 + 8*t^7.784 + 3*t^7.855 + 3*t^7.911 - 9*t^8.234 - t^8.361 + t^8.432 + 7*t^8.487 + 5*t^8.613 + 6*t^8.684 + 2*t^8.74 + 4*t^8.811 + 15*t^8.937 - t^4.532/y - t^6.766/y - (2*t^6.892)/y + (4*t^7.468)/y + (5*t^7.595)/y + t^7.721/y + (3*t^8.045)/y + (4*t^8.171)/y + (7*t^8.297)/y + (7*t^8.424)/y + (2*t^8.55)/y + (2*t^8.874)/y - t^4.532*y - t^6.766*y - 2*t^6.892*y + 4*t^7.468*y + 5*t^7.595*y + t^7.721*y + 3*t^8.045*y + 4*t^8.171*y + 7*t^8.297*y + 7*t^8.424*y + 2*t^8.55*y + 2*t^8.874*y | 3*g1*t^2.234 + (2*t^2.361)/g1^7 + g1^12*t^2.811 + (2*t^3.063)/g1^4 + t^3.189/g1^12 + t^3.766/g1 + 3*g1^10*t^4.342 + 6*g1^2*t^4.468 + (6*t^4.595)/g1^6 + (3*t^4.721)/g1^14 + 3*g1^13*t^5.045 + 2*g1^5*t^5.171 + (6*t^5.297)/g1^3 + (5*t^5.424)/g1^11 + (2*t^5.55)/g1^19 + g1^24*t^5.621 + g1^8*t^5.874 - 2*t^6. + (3*t^6.126)/g1^8 + (2*t^6.253)/g1^16 + t^6.379/g1^24 + 6*g1^11*t^6.576 + 12*g1^3*t^6.703 + (10*t^6.829)/g1^5 + (8*t^6.955)/g1^13 + (4*t^7.082)/g1^21 + 3*g1^22*t^7.153 + 3*g1^14*t^7.279 + 7*g1^6*t^7.405 + (11*t^7.532)/g1^2 + (12*t^7.658)/g1^10 + (8*t^7.784)/g1^18 + 3*g1^25*t^7.855 + (3*t^7.911)/g1^26 - 9*g1*t^8.234 - t^8.361/g1^7 + g1^36*t^8.432 + (7*t^8.487)/g1^15 + (5*t^8.613)/g1^23 + 6*g1^20*t^8.684 + (2*t^8.74)/g1^31 + 4*g1^12*t^8.811 + 15*g1^4*t^8.937 - t^4.532/(g1^2*y) - t^6.766/(g1*y) - (2*t^6.892)/(g1^9*y) + (4*g1^2*t^7.468)/y + (5*t^7.595)/(g1^6*y) + t^7.721/(g1^14*y) + (3*g1^13*t^8.045)/y + (4*g1^5*t^8.171)/y + (7*t^8.297)/(g1^3*y) + (7*t^8.424)/(g1^11*y) + (2*t^8.55)/(g1^19*y) + (2*g1^8*t^8.874)/y - (t^4.532*y)/g1^2 - (t^6.766*y)/g1 - (2*t^6.892*y)/g1^9 + 4*g1^2*t^7.468*y + (5*t^7.595*y)/g1^6 + (t^7.721*y)/g1^14 + 3*g1^13*t^8.045*y + 4*g1^5*t^8.171*y + (7*t^8.297*y)/g1^3 + (7*t^8.424*y)/g1^11 + (2*t^8.55*y)/g1^19 + 2*g1^8*t^8.874*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 |
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# | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
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4973 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.639 | 0.8396 | 0.761 | [M:[0.9474, 1.1579, 1.0526, 0.8421, 0.7368, 0.8421, 0.8421], q:[0.7368, 0.3158], qb:[0.4211, 0.4211], phi:[0.5263]] | 3*t^2.211 + 3*t^2.526 + 2*t^3.158 + t^3.474 + t^3.789 + 3*t^4.105 + 6*t^4.421 + 9*t^4.737 + 6*t^5.053 + 6*t^5.368 + 6*t^5.684 - t^4.579/y - t^4.579*y | detail | {a: 70125/109744, c: 46073/54872, M1: 18/19, M2: 22/19, M3: 20/19, M4: 16/19, M5: 14/19, M6: 16/19, M7: 16/19, q1: 14/19, q2: 6/19, qb1: 8/19, qb2: 8/19, phi1: 10/19} |
4974 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ | 0.6545 | 0.863 | 0.7584 | [M:[0.9621, 1.1136, 1.0379, 0.8864, 0.7405, 0.8163, 0.8163, 0.8864], q:[0.7405, 0.2974], qb:[0.4432, 0.4432], phi:[0.5189]] | 3*t^2.222 + 2*t^2.449 + 2*t^2.659 + 2*t^3.114 + t^3.778 + 3*t^4.216 + 6*t^4.443 + 6*t^4.67 + 6*t^4.881 + 3*t^4.898 + 4*t^5.108 + 3*t^5.318 + 6*t^5.335 + 2*t^5.563 + 3*t^5.773 - 3*t^6. - 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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# | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
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No data available in table |
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 |
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# | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
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2038 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ | 0.6294 | 0.8187 | 0.7688 | [M:[0.9719, 1.0844, 1.0281, 0.9156, 0.743, 0.7992], q:[0.743, 0.2852], qb:[0.4578, 0.4578], phi:[0.5141]] | 3*t^2.229 + t^2.398 + t^2.747 + 2*t^3.084 + t^3.253 + t^3.602 + t^3.771 + 3*t^4.289 + 6*t^4.458 + 3*t^4.627 + t^4.795 + 3*t^4.976 + t^5.145 + 6*t^5.313 + 3*t^5.482 + t^5.494 + t^5.651 + 4*t^5.831 - t^6. - t^4.542/y - t^4.542*y | detail |