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 |
---|---|---|---|---|---|---|---|---|---|
4345 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{1}M_{8}$ + ${ }M_{4}M_{7}$ | 0.7044 | 0.8684 | 0.8112 | [M:[1.0547, 1.0273, 0.8907, 1.0547, 0.8907, 1.0, 0.9453, 0.9453], q:[0.4453, 0.5], qb:[0.5, 0.6093], phi:[0.4863]] | [M:[[4], [2], [-8], [4], [-8], [0], [-4], [-4]], q:[[-4], [0]], qb:[[0], [8]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{5}$, ${ }M_{7}$, ${ }M_{8}$, ${ }M_{6}$, ${ }M_{2}$, ${ }M_{4}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{3}M_{8}$, ${ }M_{5}M_{8}$, ${ }M_{3}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{7}^{2}$, ${ }M_{7}M_{8}$, ${ }M_{8}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{5}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{6}M_{7}$, ${ }M_{6}M_{8}$, ${ }M_{2}M_{7}$, ${ }M_{2}M_{8}$ | ${}M_{4}M_{8}$ | -3 | 2*t^2.672 + 2*t^2.836 + t^3. + t^3.082 + t^3.164 + t^4.131 + 2*t^4.295 + 3*t^4.459 + t^4.623 + 2*t^4.787 + t^5.115 + 3*t^5.344 + 3*t^5.508 + 3*t^5.672 + 2*t^5.754 + 2*t^5.836 + 2*t^5.918 - 3*t^6. + t^6.082 - t^6.164 + t^6.246 - t^6.328 - t^6.492 + 2*t^6.803 + 5*t^6.967 + 8*t^7.131 + 7*t^7.295 + 4*t^7.459 + t^7.623 + t^7.787 + t^7.951 + 4*t^8.016 + 4*t^8.18 + t^8.262 + t^8.279 + 4*t^8.344 + 5*t^8.426 + 3*t^8.508 + 6*t^8.59 - 8*t^8.672 + 8*t^8.754 - 10*t^8.836 + 9*t^8.918 - t^4.459/y - (2*t^7.131)/y + (2*t^7.787)/y + t^8.344/y + (4*t^8.508)/y + (3*t^8.672)/y + (2*t^8.754)/y + (4*t^8.836)/y + (2*t^8.918)/y - t^4.459*y - 2*t^7.131*y + 2*t^7.787*y + t^8.344*y + 4*t^8.508*y + 3*t^8.672*y + 2*t^8.754*y + 4*t^8.836*y + 2*t^8.918*y | (2*t^2.672)/g1^8 + (2*t^2.836)/g1^4 + t^3. + g1^2*t^3.082 + g1^4*t^3.164 + t^4.131/g1^9 + (2*t^4.295)/g1^5 + (3*t^4.459)/g1 + g1^3*t^4.623 + 2*g1^7*t^4.787 + g1^15*t^5.115 + (3*t^5.344)/g1^16 + (3*t^5.508)/g1^12 + (3*t^5.672)/g1^8 + (2*t^5.754)/g1^6 + (2*t^5.836)/g1^4 + (2*t^5.918)/g1^2 - 3*t^6. + g1^2*t^6.082 - g1^4*t^6.164 + g1^6*t^6.246 - g1^8*t^6.328 - g1^12*t^6.492 + (2*t^6.803)/g1^17 + (5*t^6.967)/g1^13 + (8*t^7.131)/g1^9 + (7*t^7.295)/g1^5 + (4*t^7.459)/g1 + g1^3*t^7.623 + g1^7*t^7.787 + g1^11*t^7.951 + (4*t^8.016)/g1^24 + (4*t^8.18)/g1^20 + t^8.262/g1^18 + g1^19*t^8.279 + (4*t^8.344)/g1^16 + (5*t^8.426)/g1^14 + (3*t^8.508)/g1^12 + (6*t^8.59)/g1^10 - (8*t^8.672)/g1^8 + (8*t^8.754)/g1^6 - (10*t^8.836)/g1^4 + (9*t^8.918)/g1^2 - t^4.459/(g1*y) - (2*t^7.131)/(g1^9*y) + (2*g1^7*t^7.787)/y + t^8.344/(g1^16*y) + (4*t^8.508)/(g1^12*y) + (3*t^8.672)/(g1^8*y) + (2*t^8.754)/(g1^6*y) + (4*t^8.836)/(g1^4*y) + (2*t^8.918)/(g1^2*y) - (t^4.459*y)/g1 - (2*t^7.131*y)/g1^9 + 2*g1^7*t^7.787*y + (t^8.344*y)/g1^16 + (4*t^8.508*y)/g1^12 + (3*t^8.672*y)/g1^8 + (2*t^8.754*y)/g1^6 + (4*t^8.836*y)/g1^4 + (2*t^8.918*y)/g1^2 |
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 |
---|---|---|---|---|---|---|---|---|
5796 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{1}M_{8}$ + ${ }M_{4}M_{7}$ + ${ }M_{4}M_{9}$ | 0.71 | 0.8794 | 0.8073 | [M:[1.0649, 1.0325, 0.8702, 1.0649, 0.8702, 1.0, 0.9351, 0.9351, 0.9351], q:[0.4351, 0.5], qb:[0.5, 0.6298], phi:[0.4838]] | 2*t^2.611 + 3*t^2.805 + t^3. + t^3.097 + t^4.062 + 2*t^4.257 + 3*t^4.451 + t^4.646 + 2*t^4.841 + 3*t^5.221 + t^5.23 + 5*t^5.416 + 6*t^5.611 + 2*t^5.708 + t^5.805 + 3*t^5.903 - 5*t^6. - t^4.451/y - t^4.451*y | detail | |
5795 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{1}M_{8}$ + ${ }M_{4}M_{7}$ + ${ }M_{7}M_{9}$ | 0.6998 | 0.8595 | 0.8142 | [M:[1.0441, 1.0221, 0.9117, 1.0441, 0.9117, 1.0, 0.9559, 0.9559, 1.0441], q:[0.4559, 0.5], qb:[0.5, 0.5883], phi:[0.489]] | 2*t^2.735 + t^2.868 + t^3. + t^3.066 + 2*t^3.132 + t^4.202 + 2*t^4.335 + 3*t^4.467 + t^4.599 + 2*t^4.732 + t^4.996 + 3*t^5.47 + t^5.603 + t^5.735 + 2*t^5.801 + 3*t^5.868 + t^5.934 - 3*t^6. - t^4.467/y - t^4.467*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 |
---|---|---|---|---|---|---|---|---|---|
2349 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{1}M_{8}$ | 0.7136 | 0.8827 | 0.8084 | [M:[1.0914, 1.0457, 0.8172, 0.9603, 0.9483, 1.0, 0.9086, 0.9086], q:[0.4742, 0.4344], qb:[0.5656, 0.6173], phi:[0.4771]] | t^2.452 + 2*t^2.726 + t^2.845 + t^2.881 + t^3. + t^3.137 + t^4.038 + t^4.157 + t^4.276 + t^4.431 + t^4.551 + t^4.587 + t^4.706 + t^4.825 + t^4.903 + t^4.98 + t^5.135 + 2*t^5.177 + t^5.296 + t^5.332 + 3*t^5.452 + t^5.571 + t^5.589 + t^5.607 + t^5.69 + 2*t^5.726 + t^5.762 + 2*t^5.863 + t^5.982 - 3*t^6. - t^4.431/y - t^4.431*y | detail |