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 |
---|---|---|---|---|---|---|---|---|---|
50869 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{5}$ + ${ }M_{4}M_{6}$ + ${ }M_{2}^{2}$ | 0.6972 | 0.8564 | 0.8141 | [M:[0.9194, 1.0, 1.0538, 0.9731, 0.9462, 1.0269], q:[0.5538, 0.5269], qb:[0.4462, 0.5], phi:[0.4933]] | [M:[[12], [0], [-8], [4], [8], [-4]], q:[[-8], [-4]], qb:[[8], [0]], phi:[[1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }M_{5}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{6}$, ${ }M_{3}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}M_{4}$, ${ }M_{5}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{2}\phi_{1}^{2}$ | ${}$ | -1 | t^2.758 + t^2.839 + t^2.919 + t^2.96 + t^3. + t^3.081 + t^3.161 + t^4.157 + t^4.319 + t^4.399 + 2*t^4.48 + t^4.56 + 2*t^4.641 + t^4.722 + t^4.802 + t^5.516 + t^5.597 + t^5.677 + t^5.718 + t^5.758 + t^5.798 + t^5.839 + t^5.879 + 2*t^5.919 + t^5.96 - t^6. + t^6.04 - t^6.081 + t^6.121 + t^6.915 + t^6.996 + 2*t^7.077 + t^7.117 + 2*t^7.157 - t^7.198 + 3*t^7.238 + t^7.278 + 3*t^7.319 + 3*t^7.399 + t^7.44 + 3*t^7.48 - t^7.52 + 3*t^7.56 + t^7.601 + 3*t^7.641 - t^7.681 + 2*t^7.722 + 2*t^7.802 - t^7.843 + t^7.883 + t^7.964 + t^8.274 + t^8.315 + t^8.355 + t^8.436 + 2*t^8.476 + t^8.516 + 2*t^8.557 + 3*t^8.637 + t^8.677 + 2*t^8.718 - t^8.758 + 4*t^8.798 - 3*t^8.839 + 4*t^8.879 - 4*t^8.919 + 3*t^8.96 - t^4.48/y - t^7.238/y - t^7.44/y + t^7.52/y + t^7.722/y + t^8.597/y + t^8.677/y + t^8.718/y + (2*t^8.758)/y + t^8.798/y + (2*t^8.839)/y + t^8.879/y + (3*t^8.919)/y + t^8.96/y - t^4.48*y - t^7.238*y - t^7.44*y + t^7.52*y + t^7.722*y + t^8.597*y + t^8.677*y + t^8.718*y + 2*t^8.758*y + t^8.798*y + 2*t^8.839*y + t^8.879*y + 3*t^8.919*y + t^8.96*y | g1^12*t^2.758 + g1^8*t^2.839 + g1^4*t^2.919 + g1^2*t^2.96 + t^3. + t^3.081/g1^4 + t^3.161/g1^8 + g1^17*t^4.157 + g1^9*t^4.319 + g1^5*t^4.399 + 2*g1*t^4.48 + t^4.56/g1^3 + (2*t^4.641)/g1^7 + t^4.722/g1^11 + t^4.802/g1^15 + g1^24*t^5.516 + g1^20*t^5.597 + g1^16*t^5.677 + g1^14*t^5.718 + g1^12*t^5.758 + g1^10*t^5.798 + g1^8*t^5.839 + g1^6*t^5.879 + 2*g1^4*t^5.919 + g1^2*t^5.96 - t^6. + t^6.04/g1^2 - t^6.081/g1^4 + t^6.121/g1^6 + g1^29*t^6.915 + g1^25*t^6.996 + 2*g1^21*t^7.077 + g1^19*t^7.117 + 2*g1^17*t^7.157 - g1^15*t^7.198 + 3*g1^13*t^7.238 + g1^11*t^7.278 + 3*g1^9*t^7.319 + 3*g1^5*t^7.399 + g1^3*t^7.44 + 3*g1*t^7.48 - t^7.52/g1 + (3*t^7.56)/g1^3 + t^7.601/g1^5 + (3*t^7.641)/g1^7 - t^7.681/g1^9 + (2*t^7.722)/g1^11 + (2*t^7.802)/g1^15 - t^7.843/g1^17 + t^7.883/g1^19 + t^7.964/g1^23 + g1^36*t^8.274 + g1^34*t^8.315 + g1^32*t^8.355 + g1^28*t^8.436 + 2*g1^26*t^8.476 + g1^24*t^8.516 + 2*g1^22*t^8.557 + 3*g1^18*t^8.637 + g1^16*t^8.677 + 2*g1^14*t^8.718 - g1^12*t^8.758 + 4*g1^10*t^8.798 - 3*g1^8*t^8.839 + 4*g1^6*t^8.879 - 4*g1^4*t^8.919 + 3*g1^2*t^8.96 - (g1*t^4.48)/y - (g1^13*t^7.238)/y - (g1^3*t^7.44)/y + t^7.52/(g1*y) + t^7.722/(g1^11*y) + (g1^20*t^8.597)/y + (g1^16*t^8.677)/y + (g1^14*t^8.718)/y + (2*g1^12*t^8.758)/y + (g1^10*t^8.798)/y + (2*g1^8*t^8.839)/y + (g1^6*t^8.879)/y + (3*g1^4*t^8.919)/y + (g1^2*t^8.96)/y - g1*t^4.48*y - g1^13*t^7.238*y - g1^3*t^7.44*y + (t^7.52*y)/g1 + (t^7.722*y)/g1^11 + g1^20*t^8.597*y + g1^16*t^8.677*y + g1^14*t^8.718*y + 2*g1^12*t^8.758*y + g1^10*t^8.798*y + 2*g1^8*t^8.839*y + g1^6*t^8.879*y + 3*g1^4*t^8.919*y + g1^2*t^8.96*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 |
---|---|---|---|---|---|---|---|---|
56127 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{5}$ + ${ }M_{4}M_{6}$ + ${ }M_{2}^{2}$ + ${ }M_{3}M_{7}$ | 0.7032 | 0.8682 | 0.8099 | [M:[0.8874, 1.0, 1.0751, 0.9625, 0.9249, 1.0375, 0.9249], q:[0.5751, 0.5375], qb:[0.4249, 0.5], phi:[0.4906]] | t^2.662 + 2*t^2.775 + t^2.887 + t^2.944 + t^3. + t^3.113 + t^4.021 + t^4.247 + t^4.359 + 2*t^4.472 + t^4.584 + 2*t^4.697 + t^4.81 + t^4.922 + t^5.324 + 2*t^5.437 + 3*t^5.55 + t^5.606 + 2*t^5.662 + 2*t^5.719 + 2*t^5.775 + t^5.831 + 2*t^5.887 + t^5.944 - 2*t^6. - t^4.472/y - t^4.472*y | detail | |
56123 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{5}$ + ${ }M_{4}M_{6}$ + ${ }M_{2}^{2}$ + ${ }M_{4}M_{7}$ | 0.695 | 0.8522 | 0.8155 | [M:[0.9365, 1.0, 1.0423, 0.9788, 0.9577, 1.0212, 1.0212], q:[0.5423, 0.5212], qb:[0.4577, 0.5], phi:[0.4947]] | t^2.809 + t^2.873 + t^2.968 + t^3. + 2*t^3.064 + t^3.127 + t^4.23 + t^4.357 + t^4.421 + 2*t^4.484 + t^4.548 + 2*t^4.611 + t^4.675 + t^4.738 + t^5.619 + t^5.682 + t^5.778 + t^5.841 + t^5.873 + 2*t^5.936 + t^5.968 - 2*t^6. - t^4.484/y - t^4.484*y | detail | |
56122 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{5}$ + ${ }M_{4}M_{6}$ + ${ }M_{2}^{2}$ + ${ }M_{5}M_{7}$ | 0.6933 | 0.8493 | 0.8163 | [M:[0.9537, 1.0, 1.0309, 0.9846, 0.9691, 1.0154, 1.0309], q:[0.5309, 0.5154], qb:[0.4691, 0.5], phi:[0.4961]] | t^2.861 + t^2.954 + t^2.977 + t^3. + t^3.046 + 2*t^3.093 + t^4.303 + t^4.396 + t^4.442 + 2*t^4.488 + t^4.535 + 2*t^4.581 + t^4.627 + t^4.674 + t^5.722 + t^5.838 + t^5.931 + 2*t^5.954 + t^5.977 - 2*t^6. - t^4.488/y - t^4.488*y | detail | |
56126 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{5}$ + ${ }M_{4}M_{6}$ + ${ }M_{2}^{2}$ + ${ }M_{6}M_{7}$ | 0.7 | 0.8618 | 0.8122 | [M:[0.9026, 1.0, 1.0649, 0.9675, 0.9351, 1.0325, 0.9675], q:[0.5649, 0.5325], qb:[0.4351, 0.5], phi:[0.4919]] | t^2.708 + t^2.805 + 2*t^2.903 + t^2.951 + t^3. + t^3.195 + t^4.086 + t^4.281 + t^4.378 + 2*t^4.476 + t^4.573 + 2*t^4.67 + t^4.768 + t^4.865 + t^5.415 + t^5.513 + 2*t^5.61 + t^5.659 + 2*t^5.708 + t^5.756 + 2*t^5.805 + 2*t^5.854 + 2*t^5.903 + t^5.951 - 2*t^6. - t^4.476/y - t^4.476*y | detail | |
56124 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{5}$ + ${ }M_{4}M_{6}$ + ${ }M_{2}^{2}$ + ${ }M_{7}\phi_{1}^{2}$ | 0.696 | 0.8542 | 0.8149 | [M:[0.9279, 1.0, 1.0481, 0.976, 0.9519, 1.024, 1.012], q:[0.5481, 0.524], qb:[0.4519, 0.5], phi:[0.494]] | t^2.784 + t^2.856 + t^2.928 + t^3. + t^3.036 + t^3.072 + t^3.144 + t^4.194 + t^4.338 + t^4.41 + 2*t^4.482 + t^4.554 + 2*t^4.626 + t^4.698 + t^4.77 + t^5.568 + t^5.64 + t^5.712 + t^5.784 + t^5.82 + t^5.856 + t^5.892 + t^5.928 + t^5.964 - t^6. - t^4.482/y - t^4.482*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 |
---|---|---|---|---|---|---|---|---|---|
46938 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{5}$ + ${ }M_{4}M_{6}$ | 0.7134 | 0.8806 | 0.8101 | [M:[0.846, 0.8524, 1.0534, 1.0471, 0.9466, 0.9529], q:[0.6272, 0.5267], qb:[0.5203, 0.4262], phi:[0.4749]] | t^2.538 + t^2.557 + t^2.84 + t^2.849 + t^2.859 + t^3.141 + t^3.16 + t^3.982 + t^4.264 + t^4.283 + t^4.547 + t^4.566 + 2*t^4.585 + t^4.867 + t^4.886 + t^5.076 + t^5.095 + t^5.115 + t^5.188 + t^5.378 + t^5.387 + t^5.397 + t^5.407 + t^5.416 + t^5.679 + t^5.689 + 2*t^5.698 + t^5.708 + t^5.718 + t^5.99 - 2*t^6. - t^4.425/y - t^4.425*y | detail |