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 |
---|---|---|---|---|---|---|---|---|---|
2594 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{7}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ | 0.7043 | 0.8967 | 0.7854 | [M:[1.076, 0.772, 0.693, 1.155, 0.845, 0.766, 0.924], q:[0.538, 0.386], qb:[0.769, 0.459], phi:[0.462]] | [M:[[4], [-12], [-3], [-5], [5], [14], [-4]], q:[[2], [-6]], qb:[[1], [11]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{6}$, ${ }M_{2}$, ${ }M_{5}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{6}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{2}M_{5}$, ${ }M_{3}M_{7}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{7}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{5}M_{7}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }M_{7}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{4}M_{6}$, ${ }M_{7}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$ | ${}M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ | -1 | t^2.079 + t^2.298 + t^2.316 + t^2.535 + 2*t^2.772 + t^2.991 + t^3.465 + t^3.921 + t^4.14 + 2*t^4.158 + 2*t^4.377 + t^4.395 + t^4.596 + 3*t^4.614 + t^4.632 + t^4.833 + 3*t^4.851 + 4*t^5.07 + 2*t^5.088 + t^5.289 + 3*t^5.307 + t^5.526 + 3*t^5.544 + 2*t^5.763 + t^5.982 - t^6. + t^6.219 + 3*t^6.237 + t^6.438 + 3*t^6.456 + 2*t^6.474 + 3*t^6.675 + 4*t^6.693 + t^6.711 + t^6.894 + 6*t^6.912 + 5*t^6.93 + t^6.948 + 2*t^7.131 + 5*t^7.149 + 2*t^7.167 + 4*t^7.368 + 5*t^7.386 + 2*t^7.404 + t^7.587 + 4*t^7.605 + 5*t^7.623 + t^7.824 + 4*t^7.842 + 2*t^7.86 + 4*t^8.061 + t^8.079 + 2*t^8.28 + 2*t^8.316 + 3*t^8.517 + t^8.535 + t^8.553 + t^8.736 + 5*t^8.754 + 2*t^8.79 + 4*t^8.973 + 3*t^8.991 - t^4.386/y - t^6.465/y - t^6.684/y - t^6.702/y - t^7.158/y + t^7.377/y + t^7.395/y + (3*t^7.614)/y + t^7.833/y + (3*t^7.851)/y + (4*t^8.07)/y + (3*t^8.088)/y + t^8.289/y + (4*t^8.307)/y + t^8.526/y + t^8.544/y + (2*t^8.763)/y - t^8.982/y - t^4.386*y - t^6.465*y - t^6.684*y - t^6.702*y - t^7.158*y + t^7.377*y + t^7.395*y + 3*t^7.614*y + t^7.833*y + 3*t^7.851*y + 4*t^8.07*y + 3*t^8.088*y + t^8.289*y + 4*t^8.307*y + t^8.526*y + t^8.544*y + 2*t^8.763*y - t^8.982*y | t^2.079/g1^3 + g1^14*t^2.298 + t^2.316/g1^12 + g1^5*t^2.535 + (2*t^2.772)/g1^4 + g1^13*t^2.991 + t^3.465/g1^5 + g1^3*t^3.921 + g1^20*t^4.14 + (2*t^4.158)/g1^6 + 2*g1^11*t^4.377 + t^4.395/g1^15 + g1^28*t^4.596 + 3*g1^2*t^4.614 + t^4.632/g1^24 + g1^19*t^4.833 + (3*t^4.851)/g1^7 + 4*g1^10*t^5.07 + (2*t^5.088)/g1^16 + g1^27*t^5.289 + 3*g1*t^5.307 + g1^18*t^5.526 + (3*t^5.544)/g1^8 + 2*g1^9*t^5.763 + g1^26*t^5.982 - t^6. + g1^17*t^6.219 + (3*t^6.237)/g1^9 + g1^34*t^6.438 + 3*g1^8*t^6.456 + (2*t^6.474)/g1^18 + 3*g1^25*t^6.675 + (4*t^6.693)/g1 + t^6.711/g1^27 + g1^42*t^6.894 + 6*g1^16*t^6.912 + (5*t^6.93)/g1^10 + t^6.948/g1^36 + 2*g1^33*t^7.131 + 5*g1^7*t^7.149 + (2*t^7.167)/g1^19 + 4*g1^24*t^7.368 + (5*t^7.386)/g1^2 + (2*t^7.404)/g1^28 + g1^41*t^7.587 + 4*g1^15*t^7.605 + (5*t^7.623)/g1^11 + g1^32*t^7.824 + 4*g1^6*t^7.842 + (2*t^7.86)/g1^20 + 4*g1^23*t^8.061 + t^8.079/g1^3 + 2*g1^40*t^8.28 + (2*t^8.316)/g1^12 + 3*g1^31*t^8.517 + g1^5*t^8.535 + t^8.553/g1^21 + g1^48*t^8.736 + 5*g1^22*t^8.754 + (2*t^8.79)/g1^30 + 4*g1^39*t^8.973 + 3*g1^13*t^8.991 - t^4.386/(g1^2*y) - t^6.465/(g1^5*y) - (g1^12*t^6.684)/y - t^6.702/(g1^14*y) - t^7.158/(g1^6*y) + (g1^11*t^7.377)/y + t^7.395/(g1^15*y) + (3*g1^2*t^7.614)/y + (g1^19*t^7.833)/y + (3*t^7.851)/(g1^7*y) + (4*g1^10*t^8.07)/y + (3*t^8.088)/(g1^16*y) + (g1^27*t^8.289)/y + (4*g1*t^8.307)/y + (g1^18*t^8.526)/y + t^8.544/(g1^8*y) + (2*g1^9*t^8.763)/y - (g1^26*t^8.982)/y - (t^4.386*y)/g1^2 - (t^6.465*y)/g1^5 - g1^12*t^6.684*y - (t^6.702*y)/g1^14 - (t^7.158*y)/g1^6 + g1^11*t^7.377*y + (t^7.395*y)/g1^15 + 3*g1^2*t^7.614*y + g1^19*t^7.833*y + (3*t^7.851*y)/g1^7 + 4*g1^10*t^8.07*y + (3*t^8.088*y)/g1^16 + g1^27*t^8.289*y + 4*g1*t^8.307*y + g1^18*t^8.526*y + (t^8.544*y)/g1^8 + 2*g1^9*t^8.763*y - g1^26*t^8.982*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 |
---|---|---|---|---|---|---|---|---|
4702 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{7}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.7249 | 0.9365 | 0.7741 | [M:[1.0764, 0.7709, 0.6927, 1.1545, 0.8455, 0.7673, 0.9236, 0.6927], q:[0.5382, 0.3854], qb:[0.7691, 0.46], phi:[0.4618]] | 2*t^2.078 + t^2.302 + t^2.313 + t^2.536 + 2*t^2.771 + t^2.995 + t^3.464 + t^4.146 + 4*t^4.156 + 3*t^4.38 + 2*t^4.391 + t^4.604 + 4*t^4.615 + t^4.625 + t^4.838 + 5*t^4.849 + 5*t^5.073 + 2*t^5.084 + t^5.296 + 3*t^5.307 + t^5.531 + 4*t^5.542 + 2*t^5.765 + t^5.989 - 2*t^6. - t^4.385/y - t^4.385*y | detail | |
4700 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{7}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }q_{1}^{2}\tilde{q}_{2}^{2}$ | 0.7043 | 0.8966 | 0.7855 | [M:[1.0769, 0.7692, 0.6923, 1.1538, 0.8462, 0.7692, 0.9231], q:[0.5385, 0.3846], qb:[0.7692, 0.4615], phi:[0.4615]] | t^2.077 + 2*t^2.308 + t^2.538 + 2*t^2.769 + t^3. + t^3.462 + t^3.923 + 3*t^4.154 + 3*t^4.385 + 5*t^4.615 + 4*t^4.846 + 6*t^5.077 + 4*t^5.308 + 4*t^5.538 + 2*t^5.769 - t^4.385/y - t^4.385*y | detail | {a: 6189/8788, c: 7879/8788, M1: 14/13, M2: 10/13, M3: 9/13, M4: 15/13, M5: 11/13, M6: 10/13, M7: 12/13, q1: 7/13, q2: 5/13, qb1: 10/13, qb2: 6/13, 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 |
---|---|---|---|---|---|---|---|---|---|
1479 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{7}$ | 0.735 | 0.921 | 0.7981 | [M:[1.0526, 0.8422, 0.867, 1.0277, 0.9723, 0.6841, 0.9474], q:[0.5263, 0.4211], qb:[0.6066, 0.5512], 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 |