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 |
---|---|---|---|---|---|---|---|---|---|
707 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{1}q_{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.7056 | 0.886 | 0.7965 | [M:[0.9809, 1.1188, 0.9847, 0.7816, 0.7778, 0.6744], q:[0.7797, 0.4425], qb:[0.5766, 0.4387], phi:[0.4406]] | [M:[[-7, 1], [4, 0], [-11, -1], [-1, -1], [3, 1], [10, 2]], q:[[1, 0], [-4, -1]], qb:[[11, 0], [0, 1]], phi:[[-2, 0]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{6}$, ${ }M_{5}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{5}M_{6}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{3}M_{6}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{3}M_{4}$, ${ }M_{2}M_{6}$, ${ }M_{2}M_{5}$, ${ }M_{2}M_{4}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$ | ${}$ | -2 | t^2.023 + t^2.333 + t^2.345 + t^2.644 + t^2.943 + t^2.954 + t^3.356 + t^3.954 + t^3.966 + t^4.046 + t^4.069 + t^4.357 + 2*t^4.368 + t^4.379 + 2*t^4.667 + t^4.678 + t^4.689 + t^4.781 + t^4.966 + 2*t^4.977 + t^4.988 + t^5.276 + 3*t^5.287 + t^5.299 + t^5.379 + t^5.69 + t^5.701 + t^5.885 + t^5.897 + t^5.908 + t^5.977 - 2*t^6. - t^6.011 + t^6.07 + t^6.092 + t^6.288 + 2*t^6.299 + t^6.31 + t^6.38 + 2*t^6.391 + t^6.402 + t^6.598 + 2*t^6.69 + 2*t^6.701 + 3*t^6.713 + t^6.724 + t^6.805 + t^6.897 + t^6.908 + t^6.989 + 3*t^7. + 2*t^7.012 + t^7.023 + t^7.034 + t^7.115 + t^7.126 + t^7.299 + 4*t^7.311 + 2*t^7.322 + t^7.403 + t^7.425 + t^7.61 + 2*t^7.621 + 2*t^7.632 + t^7.643 + t^7.713 + t^7.724 + 2*t^7.909 + 2*t^7.92 + 2*t^7.931 + t^8.001 - t^8.023 - t^8.034 + t^8.093 + t^8.115 + t^8.138 + t^8.219 + 2*t^8.23 + 2*t^8.241 + t^8.253 + t^8.311 + 2*t^8.322 - 2*t^8.333 - 4*t^8.345 - t^8.356 + t^8.403 + 2*t^8.414 + t^8.425 + 2*t^8.621 + t^8.632 + 2*t^8.713 + 2*t^8.724 + 4*t^8.736 + 2*t^8.828 + t^8.839 + t^8.85 + t^8.851 + t^8.862 + t^8.92 + t^8.931 - 3*t^8.943 - 4*t^8.954 - t^8.965 - t^4.322/y - t^6.345/y - t^6.655/y - t^6.667/y - t^7.265/y - t^7.276/y + t^7.357/y + (2*t^7.368)/y + t^7.379/y + t^7.667/y + t^7.678/y + t^7.966/y + (3*t^7.977)/y + (2*t^7.988)/y + t^8.276/y + (2*t^8.287)/y + (2*t^8.299)/y - t^8.368/y + t^8.379/y + t^8.586/y + t^8.598/y - t^8.678/y + t^8.701/y + t^8.897/y + t^8.977/y - t^4.322*y - t^6.345*y - t^6.655*y - t^6.667*y - t^7.265*y - t^7.276*y + t^7.357*y + 2*t^7.368*y + t^7.379*y + t^7.667*y + t^7.678*y + t^7.966*y + 3*t^7.977*y + 2*t^7.988*y + t^8.276*y + 2*t^8.287*y + 2*t^8.299*y - t^8.368*y + t^8.379*y + t^8.586*y + t^8.598*y - t^8.678*y + t^8.701*y + t^8.897*y + t^8.977*y | g1^10*g2^2*t^2.023 + g1^3*g2*t^2.333 + t^2.345/(g1*g2) + t^2.644/g1^4 + (g2*t^2.943)/g1^7 + t^2.954/(g1^11*g2) + g1^4*t^3.356 + (g2^2*t^3.954)/g1^2 + t^3.966/g1^6 + g1^20*g2^4*t^4.046 + g1^12*t^4.069 + g1^13*g2^3*t^4.357 + 2*g1^9*g2*t^4.368 + (g1^5*t^4.379)/g2 + 2*g1^6*g2^2*t^4.667 + g1^2*t^4.678 + t^4.689/(g1^2*g2^2) + g1^20*t^4.781 + g1^3*g2^3*t^4.966 + (2*g2*t^4.977)/g1 + t^4.988/(g1^5*g2) + (g2^2*t^5.276)/g1^4 + (3*t^5.287)/g1^8 + t^5.299/(g1^12*g2^2) + g1^14*g2^2*t^5.379 + g1^7*g2*t^5.69 + (g1^3*t^5.701)/g2 + (g2^2*t^5.885)/g1^14 + t^5.897/g1^18 + t^5.908/(g1^22*g2^2) + g1^8*g2^4*t^5.977 - 2*t^6. - t^6.011/(g1^4*g2^2) + g1^30*g2^6*t^6.07 + g1^22*g2^2*t^6.092 + g1*g2^3*t^6.288 + (2*g2*t^6.299)/g1^3 + t^6.31/(g1^7*g2) + g1^23*g2^5*t^6.38 + 2*g1^19*g2^3*t^6.391 + g1^15*g2*t^6.402 + (g2^2*t^6.598)/g1^6 + 2*g1^16*g2^4*t^6.69 + 2*g1^12*g2^2*t^6.701 + 3*g1^8*t^6.713 + (g1^4*t^6.724)/g2^2 + g1^30*g2^2*t^6.805 + (g2^3*t^6.897)/g1^9 + (g2*t^6.908)/g1^13 + g1^13*g2^5*t^6.989 + 3*g1^9*g2^3*t^7. + 2*g1^5*g2*t^7.012 + (g1*t^7.023)/g2 + t^7.034/(g1^3*g2^3) + g1^23*g2*t^7.115 + (g1^19*t^7.126)/g2 + g1^6*g2^4*t^7.299 + 4*g1^2*g2^2*t^7.311 + (2*t^7.322)/g1^2 + g1^24*g2^4*t^7.403 + g1^16*t^7.425 + (g2^3*t^7.61)/g1 + (2*g2*t^7.621)/g1^5 + (2*t^7.632)/(g1^9*g2) + t^7.643/(g1^13*g2^3) + g1^17*g2^3*t^7.713 + g1^13*g2*t^7.724 + (2*g2^4*t^7.909)/g1^4 + (2*g2^2*t^7.92)/g1^8 + (2*t^7.931)/g1^12 + g1^18*g2^6*t^8.001 - g1^10*g2^2*t^8.023 - g1^6*t^8.034 + g1^40*g2^8*t^8.093 + g1^32*g2^4*t^8.115 + g1^24*t^8.138 + (g2^3*t^8.219)/g1^11 + (2*g2*t^8.23)/g1^15 + (2*t^8.241)/(g1^19*g2) + t^8.253/(g1^23*g2^3) + g1^11*g2^5*t^8.311 + 2*g1^7*g2^3*t^8.322 - 2*g1^3*g2*t^8.333 - (4*t^8.345)/(g1*g2) - t^8.356/(g1^5*g2^3) + g1^33*g2^7*t^8.403 + 2*g1^29*g2^5*t^8.414 + g1^25*g2^3*t^8.425 + 2*g1^4*g2^4*t^8.621 + g2^2*t^8.632 + 2*g1^26*g2^6*t^8.713 + 2*g1^22*g2^4*t^8.724 + 4*g1^18*g2^2*t^8.736 + (g2^3*t^8.828)/g1^21 + g1^40*g2^4*t^8.828 + (g2*t^8.839)/g1^25 + g1^32*t^8.85 + t^8.851/(g1^29*g2) + t^8.862/(g1^33*g2^3) + g1*g2^5*t^8.92 + (g2^3*t^8.931)/g1^3 - (3*g2*t^8.943)/g1^7 - (4*t^8.954)/(g1^11*g2) - t^8.965/(g1^15*g2^3) - t^4.322/(g1^2*y) - (g1^8*g2^2*t^6.345)/y - (g1*g2*t^6.655)/y - t^6.667/(g1^3*g2*y) - (g2*t^7.265)/(g1^9*y) - t^7.276/(g1^13*g2*y) + (g1^13*g2^3*t^7.357)/y + (2*g1^9*g2*t^7.368)/y + (g1^5*t^7.379)/(g2*y) + (g1^6*g2^2*t^7.667)/y + (g1^2*t^7.678)/y + (g1^3*g2^3*t^7.966)/y + (3*g2*t^7.977)/(g1*y) + (2*t^7.988)/(g1^5*g2*y) + (g2^2*t^8.276)/(g1^4*y) + (2*t^8.287)/(g1^8*y) + (2*t^8.299)/(g1^12*g2^2*y) - (g1^18*g2^4*t^8.368)/y + (g1^14*g2^2*t^8.379)/y + (g2*t^8.586)/(g1^11*y) + t^8.598/(g1^15*g2*y) - (g1^11*g2^3*t^8.678)/y + (g1^3*t^8.701)/(g2*y) + t^8.897/(g1^18*y) + (g1^8*g2^4*t^8.977)/y - (t^4.322*y)/g1^2 - g1^8*g2^2*t^6.345*y - g1*g2*t^6.655*y - (t^6.667*y)/(g1^3*g2) - (g2*t^7.265*y)/g1^9 - (t^7.276*y)/(g1^13*g2) + g1^13*g2^3*t^7.357*y + 2*g1^9*g2*t^7.368*y + (g1^5*t^7.379*y)/g2 + g1^6*g2^2*t^7.667*y + g1^2*t^7.678*y + g1^3*g2^3*t^7.966*y + (3*g2*t^7.977*y)/g1 + (2*t^7.988*y)/(g1^5*g2) + (g2^2*t^8.276*y)/g1^4 + (2*t^8.287*y)/g1^8 + (2*t^8.299*y)/(g1^12*g2^2) - g1^18*g2^4*t^8.368*y + g1^14*g2^2*t^8.379*y + (g2*t^8.586*y)/g1^11 + (t^8.598*y)/(g1^15*g2) - g1^11*g2^3*t^8.678*y + (g1^3*t^8.701*y)/g2 + (t^8.897*y)/g1^18 + g1^8*g2^4*t^8.977*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 |
---|---|---|---|---|---|---|---|---|
1154 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{1}q_{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$ | 0.7264 | 0.9268 | 0.7838 | [M:[0.9847, 1.1179, 0.9847, 0.7795, 0.7795, 0.6769, 0.6769], q:[0.7795, 0.441], qb:[0.5743, 0.441], phi:[0.441]] | 2*t^2.031 + 2*t^2.338 + t^2.646 + 2*t^2.954 + t^3.354 + t^3.969 + 4*t^4.061 + 6*t^4.369 + 5*t^4.677 + t^4.769 + 6*t^4.985 + 5*t^5.292 + 2*t^5.384 + 2*t^5.692 + 3*t^5.908 - 2*t^6. - t^4.323/y - t^4.323*y | detail | |
1980 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{1}q_{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ | 0.6641 | 0.8412 | 0.7894 | [M:[0.7825, 1.2, 0.8175, 0.8175, 0.7825, 0.7651], q:[0.8, 0.4175], qb:[0.8, 0.3825], phi:[0.4]] | t^2.295 + 2*t^2.348 + t^2.4 + 2*t^2.452 + t^3.495 + 2*t^3.6 + t^4.59 + 2*t^4.643 + 4*t^4.695 + 4*t^4.748 + 6*t^4.8 + 2*t^4.852 + 3*t^4.905 + t^5.79 + 2*t^5.843 + 2*t^5.895 + 4*t^5.948 - t^6. - t^4.2/y - t^4.2*y | detail |
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 |
---|---|---|---|---|---|---|---|---|---|
423 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{1}q_{2}$ | 0.6848 | 0.8448 | 0.8106 | [M:[0.9816, 1.1193, 0.9816, 0.7798, 0.7798], q:[0.7798, 0.4404], qb:[0.578, 0.4404], phi:[0.4404]] | 2*t^2.339 + t^2.642 + 2*t^2.945 + t^3.358 + 3*t^3.963 + t^4.073 + 2*t^4.376 + 3*t^4.679 + t^4.789 + 2*t^4.982 + 5*t^5.284 + 2*t^5.697 + 3*t^5.89 - 4*t^6. - t^4.321/y - t^4.321*y | detail |