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 |
---|---|---|---|---|---|---|---|---|---|
54978 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{2}$ | 0.6421 | 0.7861 | 0.8168 | [M:[1.1304, 0.7391, 0.8696, 0.8696, 1.2174, 0.8261], q:[0.5001, 0.3695], qb:[0.7608, 0.8044], phi:[0.3913]] | [M:[[-16], [-14], [16], [16], [4], [6]], q:[[23], [-7]], qb:[[-9], [1]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{6}$, ${ }M_{3}$, ${ }M_{4}$, ${ }M_{1}$, ${ }M_{5}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{6}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}M_{6}$, ${ }M_{4}M_{6}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{1}M_{6}$ | ${}$ | -1 | t^2.217 + t^2.478 + 2*t^2.609 + t^3.391 + t^3.652 + t^3.783 + t^3.913 + t^4.174 + t^4.434 + t^4.565 + 2*t^4.696 + t^4.826 + 2*t^4.957 + 2*t^5.087 + 2*t^5.218 + t^5.739 + t^5.869 - t^6. + t^6.131 + 2*t^6.261 + 2*t^6.392 + 2*t^6.522 + t^6.652 + t^6.653 + 2*t^6.783 + t^6.913 + t^7.043 + 2*t^7.174 + 2*t^7.304 + 3*t^7.435 + 4*t^7.566 + 2*t^7.696 + 3*t^7.827 + t^7.956 + t^7.957 + t^8.088 - 2*t^8.217 + 2*t^8.348 + t^8.349 - 2*t^8.478 - 2*t^8.609 + 2*t^8.739 + t^8.869 + 3*t^8.87 - t^4.174/y - t^6.391/y - t^6.652/y - t^6.783/y + t^7.565/y + (2*t^7.696)/y + (2*t^7.826)/y + t^7.957/y + (2*t^8.087)/y + t^8.218/y + t^8.869/y - t^4.174*y - t^6.391*y - t^6.652*y - t^6.783*y + t^7.565*y + 2*t^7.696*y + 2*t^7.826*y + t^7.957*y + 2*t^8.087*y + t^8.218*y + t^8.869*y | t^2.217/g1^14 + g1^6*t^2.478 + 2*g1^16*t^2.609 + t^3.391/g1^16 + g1^4*t^3.652 + g1^14*t^3.783 + g1^24*t^3.913 + g1^44*t^4.174 + t^4.434/g1^28 + t^4.565/g1^18 + (2*t^4.696)/g1^8 + g1^2*t^4.826 + 2*g1^12*t^4.957 + 2*g1^22*t^5.087 + 2*g1^32*t^5.218 + t^5.739/g1^20 + t^5.869/g1^10 - t^6. + g1^10*t^6.131 + 2*g1^20*t^6.261 + 2*g1^30*t^6.392 + 2*g1^40*t^6.522 + t^6.652/g1^42 + g1^50*t^6.653 + 2*g1^60*t^6.783 + t^6.913/g1^22 + t^7.043/g1^12 + (2*t^7.174)/g1^2 + 2*g1^8*t^7.304 + 3*g1^18*t^7.435 + 4*g1^28*t^7.566 + 2*g1^38*t^7.696 + 3*g1^48*t^7.827 + t^7.956/g1^34 + g1^58*t^7.957 + g1^68*t^8.088 - (2*t^8.217)/g1^14 + (2*t^8.348)/g1^4 + g1^88*t^8.349 - 2*g1^6*t^8.478 - 2*g1^16*t^8.609 + 2*g1^26*t^8.739 + t^8.869/g1^56 + 3*g1^36*t^8.87 - t^4.174/(g1^2*y) - t^6.391/(g1^16*y) - (g1^4*t^6.652)/y - (g1^14*t^6.783)/y + t^7.565/(g1^18*y) + (2*t^7.696)/(g1^8*y) + (2*g1^2*t^7.826)/y + (g1^12*t^7.957)/y + (2*g1^22*t^8.087)/y + (g1^32*t^8.218)/y + t^8.869/(g1^10*y) - (t^4.174*y)/g1^2 - (t^6.391*y)/g1^16 - g1^4*t^6.652*y - g1^14*t^6.783*y + (t^7.565*y)/g1^18 + (2*t^7.696*y)/g1^8 + 2*g1^2*t^7.826*y + g1^12*t^7.957*y + 2*g1^22*t^8.087*y + g1^32*t^8.218*y + (t^8.869*y)/g1^10 |
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 |
---|---|---|---|---|---|---|---|---|
56636 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{7}$ | 0.6312 | 0.7667 | 0.8233 | [M:[1.1127, 0.7236, 0.8873, 0.8873, 1.2218, 0.8328, 1.1127], q:[0.5255, 0.3618], qb:[0.7509, 0.8055], phi:[0.3891]] | t^2.171 + t^2.498 + t^2.662 + 2*t^3.338 + t^3.666 + t^3.829 + t^3.993 + t^4.321 + t^4.341 + t^4.505 + 2*t^4.669 + 2*t^4.997 + t^5.16 + t^5.509 + t^5.672 + 2*t^5.836 - t^6. - t^4.167/y - t^4.167*y | detail | |
56637 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ | 0.6628 | 0.8259 | 0.8025 | [M:[1.1264, 0.7356, 0.8736, 0.8736, 1.2184, 0.8276, 0.6897], q:[0.5057, 0.3678], qb:[0.7586, 0.8046], phi:[0.3908]] | t^2.069 + t^2.207 + t^2.483 + 2*t^2.621 + t^3.379 + t^3.655 + t^3.793 + t^4.138 + t^4.207 + t^4.276 + t^4.414 + 2*t^4.552 + 4*t^4.69 + t^4.828 + 2*t^4.966 + 2*t^5.103 + 2*t^5.241 + t^5.448 + 2*t^5.724 + 2*t^5.862 - t^6. - t^4.172/y - t^4.172*y | detail | {a: 26755/40368, c: 16669/20184, M1: 98/87, M2: 64/87, M3: 76/87, M4: 76/87, M5: 106/87, M6: 24/29, M7: 20/29, q1: 44/87, q2: 32/87, qb1: 22/29, qb2: 70/87, phi1: 34/87} |
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 |
---|---|---|---|---|---|---|---|---|---|
48208 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}^{2}$ | 0.6274 | 0.7602 | 0.8253 | [M:[1.1249, 0.7343, 0.8751, 0.8751, 1.2188], q:[0.5079, 0.3672], qb:[0.7578, 0.8047], phi:[0.3906]] | t^2.203 + 2*t^2.625 + t^3.375 + t^3.516 + t^3.656 + t^3.797 + t^3.938 + t^4.219 + t^4.406 + t^4.547 + t^4.687 + t^4.828 + t^4.969 + 2*t^5.25 + 2*t^5.719 - t^6. - t^4.172/y - t^4.172*y | detail |