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 |
---|---|---|---|---|---|---|---|---|---|
56015 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{3}^{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{7}\phi_{1}^{2}$ | 0.6961 | 0.8543 | 0.8148 | [M:[0.9753, 1.0247, 1.0, 0.9505, 1.0495, 0.9258, 1.0124], q:[0.4629, 0.5618], qb:[0.5124, 0.4876], phi:[0.4938]] | [M:[[4], [-4], [0], [8], [-8], [12], [-2]], q:[[6], [-10]], qb:[[-2], [2]], phi:[[1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{6}$, ${ }M_{4}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{7}$, ${ }M_{2}$, ${ }M_{5}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{6}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{2}M_{6}$, ${ }M_{4}M_{7}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{5}M_{6}$, ${ }M_{1}M_{7}$ | ${}$ | -1 | t^2.777 + t^2.852 + t^2.926 + t^3. + t^3.037 + t^3.074 + t^3.148 + t^4.259 + t^4.333 + 2*t^4.407 + t^4.481 + 2*t^4.556 + t^4.63 + t^4.704 + t^4.853 + t^5.555 + t^5.629 + t^5.703 + t^5.777 + t^5.814 + t^5.852 + t^5.889 + t^5.926 + t^5.963 - t^6. + t^6.037 + t^6.111 + t^6.186 + t^7.036 + 2*t^7.11 + 3*t^7.185 + 3*t^7.259 + 4*t^7.333 + 4*t^7.407 + 3*t^7.481 + 2*t^7.556 + 2*t^7.63 + 2*t^7.704 + t^7.778 + t^7.853 + t^7.927 + t^8.001 + t^8.332 + t^8.406 + t^8.481 + t^8.518 + t^8.555 + 2*t^8.592 + t^8.629 + 3*t^8.666 + 3*t^8.74 - 3*t^8.777 + 5*t^8.814 - 4*t^8.852 + 4*t^8.889 - 4*t^8.926 + 5*t^8.963 - t^4.481/y - t^7.259/y + t^7.704/y + t^8.629/y + t^8.703/y + (2*t^8.777)/y + t^8.814/y + (2*t^8.852)/y + t^8.889/y + (3*t^8.926)/y + t^8.963/y - t^4.481*y - t^7.259*y + t^7.704*y + t^8.629*y + t^8.703*y + 2*t^8.777*y + t^8.814*y + 2*t^8.852*y + t^8.889*y + 3*t^8.926*y + t^8.963*y | g1^12*t^2.777 + g1^8*t^2.852 + g1^4*t^2.926 + t^3. + t^3.037/g1^2 + t^3.074/g1^4 + t^3.148/g1^8 + g1^13*t^4.259 + g1^9*t^4.333 + 2*g1^5*t^4.407 + g1*t^4.481 + (2*t^4.556)/g1^3 + t^4.63/g1^7 + t^4.704/g1^11 + t^4.853/g1^19 + g1^24*t^5.555 + g1^20*t^5.629 + g1^16*t^5.703 + g1^12*t^5.777 + g1^10*t^5.814 + g1^8*t^5.852 + g1^6*t^5.889 + g1^4*t^5.926 + g1^2*t^5.963 - t^6. + t^6.037/g1^2 + t^6.111/g1^6 + t^6.186/g1^10 + g1^25*t^7.036 + 2*g1^21*t^7.11 + 3*g1^17*t^7.185 + 3*g1^13*t^7.259 + 4*g1^9*t^7.333 + 4*g1^5*t^7.407 + 3*g1*t^7.481 + (2*t^7.556)/g1^3 + (2*t^7.63)/g1^7 + (2*t^7.704)/g1^11 + t^7.778/g1^15 + t^7.853/g1^19 + t^7.927/g1^23 + t^8.001/g1^27 + g1^36*t^8.332 + g1^32*t^8.406 + g1^28*t^8.481 + g1^26*t^8.518 + g1^24*t^8.555 + 2*g1^22*t^8.592 + g1^20*t^8.629 + 3*g1^18*t^8.666 + 3*g1^14*t^8.74 - 3*g1^12*t^8.777 + 5*g1^10*t^8.814 - 4*g1^8*t^8.852 + 4*g1^6*t^8.889 - 4*g1^4*t^8.926 + 5*g1^2*t^8.963 - (g1*t^4.481)/y - (g1^13*t^7.259)/y + t^7.704/(g1^11*y) + (g1^20*t^8.629)/y + (g1^16*t^8.703)/y + (2*g1^12*t^8.777)/y + (g1^10*t^8.814)/y + (2*g1^8*t^8.852)/y + (g1^6*t^8.889)/y + (3*g1^4*t^8.926)/y + (g1^2*t^8.963)/y - g1*t^4.481*y - g1^13*t^7.259*y + (t^7.704*y)/g1^11 + g1^20*t^8.629*y + g1^16*t^8.703*y + 2*g1^12*t^8.777*y + g1^10*t^8.814*y + 2*g1^8*t^8.852*y + g1^6*t^8.889*y + 3*g1^4*t^8.926*y + g1^2*t^8.963*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 |
---|---|---|---|---|---|---|---|---|
58152 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{3}^{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{7}\phi_{1}^{2}$ + ${ }M_{2}M_{8}$ | 0.6987 | 0.8593 | 0.8131 | [M:[0.9693, 1.0307, 1.0, 0.9385, 1.0615, 0.9078, 1.0154, 0.9693], q:[0.4539, 0.5769], qb:[0.5154, 0.4846], phi:[0.4923]] | t^2.723 + t^2.816 + 2*t^2.908 + t^3. + t^3.046 + t^3.184 + t^4.2 + t^4.292 + 2*t^4.385 + t^4.477 + 2*t^4.569 + t^4.661 + t^4.754 + t^4.938 + t^5.447 + t^5.539 + 2*t^5.631 + 2*t^5.723 + t^5.769 + 2*t^5.816 + t^5.862 + t^5.908 + 2*t^5.954 - 2*t^6. - t^4.477/y - t^4.477*y | detail | |
58153 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{3}^{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{7}\phi_{1}^{2}$ + ${ }M_{5}M_{8}$ | 0.7018 | 0.8654 | 0.8109 | [M:[0.9637, 1.0363, 1.0, 0.9274, 1.0726, 0.8912, 1.0181, 0.9274], q:[0.4456, 0.5907], qb:[0.5181, 0.4819], phi:[0.4909]] | t^2.673 + 2*t^2.782 + t^2.891 + t^3. + t^3.054 + t^3.109 + t^4.146 + t^4.255 + 2*t^4.364 + t^4.473 + 2*t^4.582 + t^4.69 + t^4.799 + t^5.017 + t^5.347 + 2*t^5.456 + 3*t^5.565 + 2*t^5.673 + t^5.728 + 2*t^5.782 + 2*t^5.837 + t^5.891 + t^5.946 - 2*t^6. - t^4.473/y - t^4.473*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 |
---|---|---|---|---|---|---|---|---|---|
50855 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{3}^{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{4}M_{5}$ | 0.6974 | 0.8566 | 0.8141 | [M:[0.9722, 1.0278, 1.0, 0.9445, 1.0555, 0.9167], q:[0.4584, 0.5694], qb:[0.5139, 0.4861], phi:[0.4931]] | t^2.75 + t^2.833 + t^2.917 + t^2.958 + t^3. + t^3.083 + t^3.167 + t^4.229 + t^4.313 + 2*t^4.396 + t^4.479 + 2*t^4.562 + t^4.646 + t^4.729 + t^4.896 + t^5.5 + t^5.584 + t^5.667 + t^5.708 + t^5.75 + t^5.792 + t^5.833 + t^5.875 + 2*t^5.917 + t^5.958 - t^6. - t^4.479/y - t^4.479*y | detail |