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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56598 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{7}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ | 0.7194 | 0.9002 | 0.7992 | [M:[0.9785, 1.087, 1.0215, 0.739, 0.8475, 0.8045, 0.913], q:[0.3695, 0.652], qb:[0.5435, 0.609], phi:[0.4565]] | [M:[[11], [2], [-11], [-6], [-15], [7], [-2]], q:[[-3], [-8]], qb:[[1], [14]], phi:[[-1]]] | 1 | {a: 1723997/2396304, c: 1078525/1198152, M1: 1136/1161, M2: 1262/1161, M3: 1186/1161, M4: 286/387, M5: 328/387, M6: 934/1161, M7: 1060/1161, q1: 143/387, q2: 757/1161, qb1: 631/1161, qb2: 707/1161, phi1: 530/1161} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{6}$, ${ }M_{5}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{6}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}M_{6}$, ${ }M_{4}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{6}M_{7}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }M_{5}M_{7}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{7}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{3}M_{5}$, ${ }M_{1}M_{7}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$ | ${}$ | -2 | t^2.217 + t^2.413 + t^2.543 + 2*t^2.739 + t^2.935 + t^3.065 + t^3.587 + t^4.109 + t^4.305 + 2*t^4.434 + 2*t^4.63 + t^4.76 + 2*t^4.827 + 4*t^4.956 + t^5.023 + t^5.085 + 3*t^5.152 + 3*t^5.282 + t^5.349 + 4*t^5.478 + t^5.607 + t^5.674 + 2*t^5.804 - 2*t^6. + t^6.129 - t^6.196 + 2*t^6.326 + 3*t^6.651 + 3*t^6.848 + 2*t^6.977 + 4*t^7.044 + 7*t^7.173 + 3*t^7.24 + t^7.302 + 5*t^7.37 + t^7.437 + 5*t^7.499 + 4*t^7.566 + t^7.628 + 7*t^7.695 + 3*t^7.762 + 3*t^7.824 + 3*t^7.891 + t^7.959 + 7*t^8.021 + t^8.15 + t^8.217 - t^8.284 + 3*t^8.346 - 3*t^8.413 + t^8.543 - t^8.61 + t^8.672 - 6*t^8.739 + 4*t^8.868 - 4*t^8.935 - t^4.37/y - t^6.587/y - t^6.783/y - t^6.912/y - t^7.109/y + (2*t^7.63)/y + t^7.76/y + t^7.827/y + (4*t^7.956)/y + (4*t^8.152)/y + (3*t^8.282)/y + t^8.349/y + (3*t^8.478)/y + t^8.607/y + (2*t^8.674)/y + (2*t^8.804)/y - t^4.37*y - t^6.587*y - t^6.783*y - t^6.912*y - t^7.109*y + 2*t^7.63*y + t^7.76*y + t^7.827*y + 4*t^7.956*y + 4*t^8.152*y + 3*t^8.282*y + t^8.349*y + 3*t^8.478*y + t^8.607*y + 2*t^8.674*y + 2*t^8.804*y | t^2.217/g1^6 + g1^7*t^2.413 + t^2.543/g1^15 + (2*t^2.739)/g1^2 + g1^11*t^2.935 + t^3.065/g1^11 + t^3.587/g1^7 + t^4.109/g1^3 + g1^10*t^4.305 + (2*t^4.434)/g1^12 + 2*g1*t^4.63 + t^4.76/g1^21 + 2*g1^14*t^4.827 + (4*t^4.956)/g1^8 + g1^27*t^5.023 + t^5.085/g1^30 + 3*g1^5*t^5.152 + (3*t^5.282)/g1^17 + g1^18*t^5.349 + (4*t^5.478)/g1^4 + t^5.607/g1^26 + g1^9*t^5.674 + (2*t^5.804)/g1^13 - 2*t^6. + t^6.129/g1^22 - g1^13*t^6.196 + (2*t^6.326)/g1^9 + (3*t^6.651)/g1^18 + (3*t^6.848)/g1^5 + (2*t^6.977)/g1^27 + 4*g1^8*t^7.044 + (7*t^7.173)/g1^14 + 3*g1^21*t^7.24 + t^7.302/g1^36 + (5*t^7.37)/g1 + g1^34*t^7.437 + (5*t^7.499)/g1^23 + 4*g1^12*t^7.566 + t^7.628/g1^45 + (7*t^7.695)/g1^10 + 3*g1^25*t^7.762 + (3*t^7.824)/g1^32 + 3*g1^3*t^7.891 + g1^38*t^7.959 + (7*t^8.021)/g1^19 + t^8.15/g1^41 + t^8.217/g1^6 - g1^29*t^8.284 + (3*t^8.346)/g1^28 - 3*g1^7*t^8.413 + t^8.543/g1^15 - g1^20*t^8.61 + t^8.672/g1^37 - (6*t^8.739)/g1^2 + (4*t^8.868)/g1^24 - 4*g1^11*t^8.935 - t^4.37/(g1*y) - t^6.587/(g1^7*y) - (g1^6*t^6.783)/y - t^6.912/(g1^16*y) - t^7.109/(g1^3*y) + (2*g1*t^7.63)/y + t^7.76/(g1^21*y) + (g1^14*t^7.827)/y + (4*t^7.956)/(g1^8*y) + (4*g1^5*t^8.152)/y + (3*t^8.282)/(g1^17*y) + (g1^18*t^8.349)/y + (3*t^8.478)/(g1^4*y) + t^8.607/(g1^26*y) + (2*g1^9*t^8.674)/y + (2*t^8.804)/(g1^13*y) - (t^4.37*y)/g1 - (t^6.587*y)/g1^7 - g1^6*t^6.783*y - (t^6.912*y)/g1^16 - (t^7.109*y)/g1^3 + 2*g1*t^7.63*y + (t^7.76*y)/g1^21 + g1^14*t^7.827*y + (4*t^7.956*y)/g1^8 + 4*g1^5*t^8.152*y + (3*t^8.282*y)/g1^17 + g1^18*t^8.349*y + (3*t^8.478*y)/g1^4 + (t^8.607*y)/g1^26 + 2*g1^9*t^8.674*y + (2*t^8.804*y)/g1^13 |
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 |
---|---|---|---|---|---|---|---|---|
58677 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{7}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}^{2}$ | 0.7137 | 0.8916 | 0.8005 | [M:[0.9231, 1.0769, 1.0769, 0.7692, 0.9231, 0.7692, 0.9231], q:[0.3846, 0.6923], qb:[0.5385, 0.5385], phi:[0.4615]] | 2*t^2.308 + 4*t^2.769 + t^3.231 + t^3.692 + 2*t^4.154 + 7*t^4.615 + 9*t^5.077 + 9*t^5.538 - t^4.385/y - t^4.385*y | detail | {a: 25089/35152, c: 15671/17576, M1: 12/13, M2: 14/13, M3: 14/13, M4: 10/13, M5: 12/13, M6: 10/13, M7: 12/13, q1: 5/13, q2: 9/13, qb1: 7/13, qb2: 7/13, phi1: 6/13} |
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 |
---|---|---|---|---|---|---|---|---|---|
54585 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{7}$ | 0.735 | 0.921 | 0.7981 | [M:[1.0277, 1.0526, 0.9723, 0.8422, 0.867, 0.6841, 0.9474], q:[0.4211, 0.5512], qb:[0.5263, 0.6066], phi:[0.4737]] | t^2.052 + t^2.527 + t^2.601 + 2*t^2.842 + t^2.917 + t^3.083 + t^3.232 + t^4.105 + t^4.263 + t^4.338 + t^4.504 + 2*t^4.579 + 2*t^4.654 + t^4.728 + t^4.82 + 3*t^4.895 + t^4.969 + t^5.053 + t^5.061 + t^5.128 + t^5.136 + t^5.202 + t^5.285 + 2*t^5.369 + 2*t^5.443 + t^5.518 + 3*t^5.684 + 2*t^5.759 + t^5.834 + t^5.925 - 3*t^6. - t^4.421/y - t^4.421*y | detail |