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 |
---|---|---|---|---|---|---|---|---|---|
55183 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{2}^{2}$ | 0.7144 | 0.8801 | 0.8118 | [M:[0.8196, 1.0, 1.0601, 0.8797, 1.0, 0.9399], q:[0.5301, 0.6503], qb:[0.4699, 0.4699], phi:[0.4699]] | [M:[[6], [0], [-2], [4], [0], [2]], q:[[-1], [-5]], qb:[[1], [1]], phi:[[1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }M_{4}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{5}$, ${ }M_{4}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{6}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$ | ${}M_{2}M_{5}$, ${ }M_{4}q_{2}\tilde{q}_{1}$ | -2 | t^2.459 + t^2.639 + 2*t^2.82 + 2*t^3. + t^3.361 + 3*t^4.229 + 2*t^4.41 + t^4.59 + 2*t^4.771 + t^4.918 + t^4.951 + t^5.098 + 3*t^5.278 + t^5.312 + 2*t^5.459 + 4*t^5.639 + 3*t^5.82 - 2*t^6. - 2*t^6.541 + 3*t^6.688 + t^6.722 + 3*t^6.869 + 8*t^7.049 + 9*t^7.229 + t^7.376 + t^7.557 + 4*t^7.59 + 3*t^7.737 + 2*t^7.771 + 3*t^7.918 - 2*t^7.951 + 5*t^8.098 + 2*t^8.131 + 3*t^8.278 + t^8.312 + 5*t^8.459 - t^8.492 + 4*t^8.639 + t^8.673 - 7*t^8.82 - t^4.41/y - t^6.869/y - t^7.049/y - t^7.229/y + t^7.59/y + t^7.771/y + t^7.951/y + t^8.098/y + (2*t^8.278)/y + (4*t^8.459)/y + (3*t^8.639)/y + (5*t^8.82)/y - t^4.41*y - t^6.869*y - t^7.049*y - t^7.229*y + t^7.59*y + t^7.771*y + t^7.951*y + t^8.098*y + 2*t^8.278*y + 4*t^8.459*y + 3*t^8.639*y + 5*t^8.82*y | g1^6*t^2.459 + g1^4*t^2.639 + 2*g1^2*t^2.82 + 2*t^3. + t^3.361/g1^4 + 3*g1^3*t^4.229 + 2*g1*t^4.41 + t^4.59/g1 + (2*t^4.771)/g1^3 + g1^12*t^4.918 + t^4.951/g1^5 + g1^10*t^5.098 + 3*g1^8*t^5.278 + t^5.312/g1^9 + 2*g1^6*t^5.459 + 4*g1^4*t^5.639 + 3*g1^2*t^5.82 - 2*t^6. - (2*t^6.541)/g1^6 + 3*g1^9*t^6.688 + t^6.722/g1^8 + 3*g1^7*t^6.869 + 8*g1^5*t^7.049 + 9*g1^3*t^7.229 + g1^18*t^7.376 + g1^16*t^7.557 + (4*t^7.59)/g1 + 3*g1^14*t^7.737 + (2*t^7.771)/g1^3 + 3*g1^12*t^7.918 - (2*t^7.951)/g1^5 + 5*g1^10*t^8.098 + (2*t^8.131)/g1^7 + 3*g1^8*t^8.278 + t^8.312/g1^9 + 5*g1^6*t^8.459 - t^8.492/g1^11 + 4*g1^4*t^8.639 + t^8.673/g1^13 - 7*g1^2*t^8.82 - (g1*t^4.41)/y - (g1^7*t^6.869)/y - (g1^5*t^7.049)/y - (g1^3*t^7.229)/y + t^7.59/(g1*y) + t^7.771/(g1^3*y) + t^7.951/(g1^5*y) + (g1^10*t^8.098)/y + (2*g1^8*t^8.278)/y + (4*g1^6*t^8.459)/y + (3*g1^4*t^8.639)/y + (5*g1^2*t^8.82)/y - g1*t^4.41*y - g1^7*t^6.869*y - g1^5*t^7.049*y - g1^3*t^7.229*y + (t^7.59*y)/g1 + (t^7.771*y)/g1^3 + (t^7.951*y)/g1^5 + g1^10*t^8.098*y + 2*g1^8*t^8.278*y + 4*g1^6*t^8.459*y + 3*g1^4*t^8.639*y + 5*g1^2*t^8.82*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 |
---|---|---|---|---|---|---|---|---|
56842 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{2}^{2}$ + ${ }M_{1}M_{7}$ | 0.7011 | 0.856 | 0.819 | [M:[0.8764, 1.0, 1.0412, 0.9176, 1.0, 0.9588, 1.1236], q:[0.5206, 0.603], qb:[0.4794, 0.4794], phi:[0.4794]] | t^2.753 + 2*t^2.876 + 2*t^3. + t^3.247 + t^3.371 + 3*t^4.315 + 2*t^4.438 + t^4.562 + 2*t^4.685 + t^4.809 + t^5.056 + t^5.505 + 4*t^5.753 + 2*t^5.876 - 2*t^6. - t^4.438/y - t^4.438*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 |
---|---|---|---|---|---|---|---|---|---|
46855 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{6}$ | 0.7172 | 0.8839 | 0.8115 | [M:[0.8005, 0.9418, 1.0665, 0.9252, 1.0, 0.9335], q:[0.5624, 0.6372], qb:[0.4959, 0.4376], phi:[0.4667]] | t^2.401 + t^2.776 + 2*t^2.8 + t^2.825 + t^3. + t^3.399 + t^4.026 + t^4.201 + t^4.375 + t^4.4 + t^4.575 + t^4.625 + t^4.774 + t^4.799 + t^4.803 + t^4.999 + t^5.177 + 2*t^5.202 + t^5.223 + t^5.227 + t^5.551 + t^5.576 + 4*t^5.601 + t^5.626 + t^5.651 + 2*t^5.8 - 3*t^6. - t^4.4/y - t^4.4*y | detail |