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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57558 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6692 | 0.8425 | 0.7943 | [M:[1.1138, 1.1381, 0.8862, 0.6829, 0.8619, 1.1138, 0.7072], q:[0.3414, 0.5448], qb:[0.5205, 0.7724], phi:[0.4552]] | [M:[[-1], [-10], [1], [-6], [10], [-1], [-15]], q:[[-3], [4]], qb:[[13], [2]], phi:[[-4]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{7}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{1}$, ${ }M_{6}$, ${ }M_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{5}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{7}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{6}$, ${ }M_{2}M_{4}$, ${ }M_{1}M_{7}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{7}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{5}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ | ${}M_{4}\phi_{1}q_{1}\tilde{q}_{1}$ | -1 | t^2.049 + t^2.121 + t^2.586 + t^2.731 + t^3.196 + 2*t^3.341 + t^3.414 + t^3.951 + t^4.024 + t^4.097 + t^4.17 + t^4.243 + t^4.489 + t^4.561 + 2*t^4.634 + t^4.707 + t^4.78 + t^4.853 + t^5.171 + t^5.244 + 2*t^5.317 + t^5.39 + 3*t^5.463 + t^5.536 + t^5.781 + 2*t^5.927 - t^6. + 2*t^6.073 + 3*t^6.146 + t^6.219 + t^6.292 + t^6.364 + t^6.391 + 2*t^6.537 + t^6.61 + 4*t^6.683 + 3*t^6.756 + 2*t^6.829 + t^6.901 + t^6.974 + t^7.074 + t^7.147 + 2*t^7.22 + t^7.293 + 3*t^7.366 + 3*t^7.439 + 2*t^7.511 + 3*t^7.584 + t^7.657 + t^7.684 + t^7.757 + 2*t^7.83 + t^7.903 + t^7.976 + 2*t^8.049 - t^8.121 + 4*t^8.194 + 3*t^8.267 + t^8.34 + t^8.367 + t^8.413 + t^8.44 + t^8.486 + 2*t^8.513 - t^8.586 + 2*t^8.659 + t^8.731 + 3*t^8.804 + 5*t^8.877 + 2*t^8.95 + 2*t^8.977 - t^4.366/y - t^6.414/y - t^6.487/y + t^7.024/y - t^7.097/y + t^7.17/y + (2*t^7.634)/y + t^7.78/y + t^7.853/y + (2*t^8.244)/y + (3*t^8.317)/y + (2*t^8.39)/y + (2*t^8.463)/y - t^8.609/y + t^8.781/y + (3*t^8.927)/y - t^4.366*y - t^6.414*y - t^6.487*y + t^7.024*y - t^7.097*y + t^7.17*y + 2*t^7.634*y + t^7.78*y + t^7.853*y + 2*t^8.244*y + 3*t^8.317*y + 2*t^8.39*y + 2*t^8.463*y - t^8.609*y + t^8.781*y + 3*t^8.927*y | t^2.049/g1^6 + t^2.121/g1^15 + g1^10*t^2.586 + t^2.731/g1^8 + g1^17*t^3.196 + (2*t^3.341)/g1 + t^3.414/g1^10 + g1^6*t^3.951 + t^4.024/g1^3 + t^4.097/g1^12 + t^4.17/g1^21 + t^4.243/g1^30 + g1^22*t^4.489 + g1^13*t^4.561 + 2*g1^4*t^4.634 + t^4.707/g1^5 + t^4.78/g1^14 + t^4.853/g1^23 + g1^20*t^5.171 + g1^11*t^5.244 + 2*g1^2*t^5.317 + t^5.39/g1^7 + (3*t^5.463)/g1^16 + t^5.536/g1^25 + g1^27*t^5.781 + 2*g1^9*t^5.927 - t^6. + (2*t^6.073)/g1^9 + (3*t^6.146)/g1^18 + t^6.219/g1^27 + t^6.292/g1^36 + t^6.364/g1^45 + g1^34*t^6.391 + 2*g1^16*t^6.537 + g1^7*t^6.61 + (4*t^6.683)/g1^2 + (3*t^6.756)/g1^11 + (2*t^6.829)/g1^20 + t^6.901/g1^29 + t^6.974/g1^38 + g1^32*t^7.074 + g1^23*t^7.147 + 2*g1^14*t^7.22 + g1^5*t^7.293 + (3*t^7.366)/g1^4 + (3*t^7.439)/g1^13 + (2*t^7.511)/g1^22 + (3*t^7.584)/g1^31 + t^7.657/g1^40 + g1^39*t^7.684 + g1^30*t^7.757 + 2*g1^21*t^7.83 + g1^12*t^7.903 + g1^3*t^7.976 + (2*t^8.049)/g1^6 - t^8.121/g1^15 + (4*t^8.194)/g1^24 + (3*t^8.267)/g1^33 + t^8.34/g1^42 + g1^37*t^8.367 + t^8.413/g1^51 + g1^28*t^8.44 + t^8.486/g1^60 + 2*g1^19*t^8.513 - g1^10*t^8.586 + 2*g1*t^8.659 + t^8.731/g1^8 + (3*t^8.804)/g1^17 + (5*t^8.877)/g1^26 + (2*t^8.95)/g1^35 + 2*g1^44*t^8.977 - t^4.366/(g1^4*y) - t^6.414/(g1^10*y) - t^6.487/(g1^19*y) + t^7.024/(g1^3*y) - t^7.097/(g1^12*y) + t^7.17/(g1^21*y) + (2*g1^4*t^7.634)/y + t^7.78/(g1^14*y) + t^7.853/(g1^23*y) + (2*g1^11*t^8.244)/y + (3*g1^2*t^8.317)/y + (2*t^8.39)/(g1^7*y) + (2*t^8.463)/(g1^16*y) - t^8.609/(g1^34*y) + (g1^27*t^8.781)/y + (3*g1^9*t^8.927)/y - (t^4.366*y)/g1^4 - (t^6.414*y)/g1^10 - (t^6.487*y)/g1^19 + (t^7.024*y)/g1^3 - (t^7.097*y)/g1^12 + (t^7.17*y)/g1^21 + 2*g1^4*t^7.634*y + (t^7.78*y)/g1^14 + (t^7.853*y)/g1^23 + 2*g1^11*t^8.244*y + 3*g1^2*t^8.317*y + (2*t^8.39*y)/g1^7 + (2*t^8.463*y)/g1^16 - (t^8.609*y)/g1^34 + g1^27*t^8.781*y + 3*g1^9*t^8.927*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 |
---|---|---|---|---|---|---|---|---|
58794 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{7}$ | 0.6597 | 0.8322 | 0.7927 | [M:[1.12, 1.2, 0.88, 0.72, 0.8, 1.12, 0.8], q:[0.36, 0.52], qb:[0.44, 0.76], phi:[0.48]] | t^2.16 + 2*t^2.4 + 2*t^2.88 + 2*t^3.36 + t^3.6 + t^3.84 + 2*t^4.08 + 2*t^4.32 + 3*t^4.56 + 3*t^4.8 + 2*t^5.04 + 4*t^5.28 + t^5.52 + 6*t^5.76 - t^4.44/y - t^4.44*y | detail | {a: 6597/10000, c: 4161/5000, M1: 28/25, M2: 6/5, M3: 22/25, M4: 18/25, M5: 4/5, M6: 28/25, M7: 4/5, q1: 9/25, q2: 13/25, qb1: 11/25, qb2: 19/25, phi1: 12/25} |
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 |
---|---|---|---|---|---|---|---|---|---|
55922 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{3}M_{6}$ | 0.649 | 0.8046 | 0.8066 | [M:[1.1146, 1.1464, 0.8854, 0.6878, 0.8536, 1.1146], q:[0.3439, 0.5414], qb:[0.5097, 0.7707], phi:[0.4586]] | t^2.064 + t^2.561 + t^2.751 + t^3.153 + 2*t^3.344 + t^3.439 + t^3.841 + t^3.936 + t^4.032 + t^4.127 + t^4.434 + t^4.529 + 2*t^4.624 + t^4.815 + t^5.122 + t^5.217 + t^5.312 + t^5.407 + t^5.503 + t^5.714 + 3*t^5.905 - t^6. - t^4.376/y - t^4.376*y | detail |