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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46362 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{2}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6285 | 0.8175 | 0.7689 | [M:[0.9769, 1.0231, 0.7673, 0.7673], q:[0.7442, 0.2789], qb:[0.4884, 0.4422], phi:[0.5116]] | [M:[[4], [-4], [-3], [-3]], q:[[1], [-5]], qb:[[2], [10]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}q_{2}\tilde{q}_{2}$, ${ }M_{3}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | ${}\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | -2 | t^2.163 + 3*t^2.302 + t^2.792 + 2*t^3.069 + t^3.208 + t^3.559 + t^3.837 + t^4.188 + 2*t^4.327 + 4*t^4.465 + 6*t^4.604 + t^4.955 + 3*t^5.094 + 2*t^5.233 + 6*t^5.371 + 2*t^5.51 + t^5.584 + t^5.723 + 3*t^5.861 - 2*t^6. + 3*t^6.139 + 2*t^6.277 + 2*t^6.351 + t^6.416 + 3*t^6.49 + 6*t^6.629 + 6*t^6.767 + 9*t^6.906 + t^6.98 + 2*t^7.119 + 4*t^7.257 + 6*t^7.396 + 4*t^7.535 + 11*t^7.673 + 2*t^7.747 + 3*t^7.812 + 4*t^7.886 + t^8.025 + t^8.163 - 6*t^8.302 + 2*t^8.376 + 6*t^8.441 + 3*t^8.514 + 4*t^8.579 + 7*t^8.653 + 2*t^8.718 + 4*t^8.792 + 7*t^8.931 - t^4.535/y - (2*t^6.837)/y + (4*t^7.465)/y + (2*t^7.604)/y + t^7.955/y + (3*t^8.094)/y + (4*t^8.233)/y + (7*t^8.371)/y + (3*t^8.51)/y + t^8.723/y + (5*t^8.861)/y - t^4.535*y - 2*t^6.837*y + 4*t^7.465*y + 2*t^7.604*y + t^7.955*y + 3*t^8.094*y + 4*t^8.233*y + 7*t^8.371*y + 3*t^8.51*y + t^8.723*y + 5*t^8.861*y | g1^5*t^2.163 + (3*t^2.302)/g1^3 + g1^12*t^2.792 + (2*t^3.069)/g1^4 + t^3.208/g1^12 + g1^11*t^3.559 + t^3.837/g1^5 + g1^18*t^4.188 + 2*g1^10*t^4.327 + 4*g1^2*t^4.465 + (6*t^4.604)/g1^6 + g1^17*t^4.955 + 3*g1^9*t^5.094 + 2*g1*t^5.233 + (6*t^5.371)/g1^7 + (2*t^5.51)/g1^15 + g1^24*t^5.584 + g1^16*t^5.723 + 3*g1^8*t^5.861 - 2*t^6. + (3*t^6.139)/g1^8 + (2*t^6.277)/g1^16 + 2*g1^23*t^6.351 + t^6.416/g1^24 + 3*g1^15*t^6.49 + 6*g1^7*t^6.629 + (6*t^6.767)/g1 + (9*t^6.906)/g1^9 + g1^30*t^6.98 + 2*g1^22*t^7.119 + 4*g1^14*t^7.257 + 6*g1^6*t^7.396 + (4*t^7.535)/g1^2 + (11*t^7.673)/g1^10 + 2*g1^29*t^7.747 + (3*t^7.812)/g1^18 + 4*g1^21*t^7.886 + g1^13*t^8.025 + g1^5*t^8.163 - (6*t^8.302)/g1^3 + 2*g1^36*t^8.376 + (6*t^8.441)/g1^11 + 3*g1^28*t^8.514 + (4*t^8.579)/g1^19 + 7*g1^20*t^8.653 + (2*t^8.718)/g1^27 + 4*g1^12*t^8.792 + 7*g1^4*t^8.931 - t^4.535/(g1^2*y) - (2*t^6.837)/(g1^5*y) + (4*g1^2*t^7.465)/y + (2*t^7.604)/(g1^6*y) + (g1^17*t^7.955)/y + (3*g1^9*t^8.094)/y + (4*g1*t^8.233)/y + (7*t^8.371)/(g1^7*y) + (3*t^8.51)/(g1^15*y) + (g1^16*t^8.723)/y + (5*g1^8*t^8.861)/y - (t^4.535*y)/g1^2 - (2*t^6.837*y)/g1^5 + 4*g1^2*t^7.465*y + (2*t^7.604*y)/g1^6 + g1^17*t^7.955*y + 3*g1^9*t^8.094*y + 4*g1*t^8.233*y + (7*t^8.371*y)/g1^7 + (3*t^8.51*y)/g1^15 + g1^16*t^8.723*y + 5*g1^8*t^8.861*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 |
---|---|---|---|---|---|---|---|---|
46920 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{2}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ | 0.645 | 0.8466 | 0.7619 | [M:[0.986, 1.014, 0.7605, 0.7605, 0.7885], q:[0.7465, 0.2675], qb:[0.493, 0.465], phi:[0.507]] | t^2.197 + 3*t^2.282 + t^2.366 + t^2.874 + 2*t^3.042 + t^3.126 + t^3.803 + t^4.311 + 2*t^4.395 + 4*t^4.479 + 7*t^4.563 + 3*t^4.647 + t^4.731 + t^5.071 + 3*t^5.155 + 3*t^5.239 + 6*t^5.324 + 4*t^5.408 + t^5.492 + t^5.748 - 2*t^6. - t^4.521/y - t^4.521*y | detail | |
48104 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{2}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6244 | 0.8111 | 0.7698 | [M:[0.9936, 1.0064, 0.7548, 0.7548, 1.0191], q:[0.7484, 0.258], qb:[0.4968, 0.4841], phi:[0.5032]] | t^2.226 + 3*t^2.264 + 2*t^3.019 + 2*t^3.057 + t^3.697 + t^3.774 + t^4.414 + 2*t^4.452 + 4*t^4.49 + 6*t^4.529 + 2*t^5.245 + 7*t^5.283 + 5*t^5.322 + t^5.923 + t^5.962 - 3*t^6. - t^4.51/y - t^4.51*y | detail | |
47022 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{2}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | 0.5751 | 0.759 | 0.7578 | [M:[1.0588, 0.9412, 0.7059, 0.7059], q:[0.7647, 0.1765], qb:[0.5294, 0.6471], phi:[0.4706]] | 3*t^2.118 + 2*t^2.471 + 2*t^2.824 + 2*t^3.529 + 7*t^4.235 + 6*t^4.588 + 9*t^4.941 + 5*t^5.294 + 6*t^5.647 - t^6. - t^4.412/y - t^4.412*y | detail | {a: 22605/39304, c: 14915/19652, M1: 18/17, M2: 16/17, M3: 12/17, M4: 12/17, q1: 13/17, q2: 3/17, qb1: 9/17, qb2: 11/17, phi1: 8/17} |
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 |
---|---|---|---|---|---|---|---|---|---|
46118 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{2}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ | 0.6103 | 0.7849 | 0.7775 | [M:[0.9748, 1.0252, 0.7689], q:[0.7437, 0.2816], qb:[0.4874, 0.4369], phi:[0.5126]] | t^2.155 + 2*t^2.307 + t^2.773 + 2*t^3.076 + t^3.227 + t^3.542 + t^3.693 + t^3.845 + t^4.159 + 2*t^4.311 + 3*t^4.462 + 3*t^4.614 + t^4.928 + 2*t^5.08 + 2*t^5.231 + 4*t^5.383 + t^5.534 + t^5.546 + t^5.697 + 3*t^5.849 - t^4.538/y - t^4.538*y | detail |