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 |
---|---|---|---|---|---|---|---|---|---|
1460 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 0.7401 | 0.9227 | 0.802 | [M:[1.0, 0.845, 0.8515, 0.9935, 1.0065, 0.9935, 0.6938], q:[0.5775, 0.4225], qb:[0.571, 0.584], phi:[0.4612]] | [M:[[0, 0], [-4, -4], [-6, -2], [2, -2], [-2, 2], [2, -2], [5, 5]], q:[[2, 2], [-2, -2]], qb:[[4, 0], [0, 4]], phi:[[-1, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{7}$, ${ }M_{2}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{6}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{7}$, ${ }M_{3}M_{7}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{2}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{6}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{7}q_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$ | ${}$ | -3 | t^2.081 + t^2.535 + t^2.555 + t^2.767 + 2*t^2.98 + t^3. + t^3.485 + t^4.163 + t^4.364 + t^4.384 + t^4.403 + t^4.616 + t^4.636 + t^4.81 + t^4.829 + 3*t^4.849 + t^4.868 + t^4.888 + 2*t^5.062 + t^5.07 + t^5.081 + t^5.09 + t^5.109 + t^5.302 + t^5.322 + t^5.515 + 3*t^5.535 + t^5.566 + 2*t^5.748 + t^5.767 + 2*t^5.961 - 3*t^6. - t^6.02 + t^6.244 + t^6.252 + t^6.465 + t^6.485 + t^6.698 + t^6.717 + t^6.891 + t^6.91 + t^6.919 + 3*t^6.93 + t^6.938 + t^6.95 + t^6.958 + 2*t^6.969 + t^7.132 + 2*t^7.143 + t^7.151 + t^7.163 + 2*t^7.171 + t^7.19 + 2*t^7.345 + 2*t^7.364 + 3*t^7.384 + 2*t^7.403 + t^7.423 + t^7.442 + t^7.577 + t^7.597 + t^7.605 + 4*t^7.616 + t^7.624 + t^7.644 + t^7.647 + t^7.655 + t^7.664 + 2*t^7.79 + 2*t^7.81 + 4*t^7.829 + t^7.837 + 2*t^7.849 + t^7.857 + t^7.868 + t^7.877 + t^7.888 + t^8.042 + t^8.05 - t^8.062 + 2*t^8.07 - 5*t^8.081 + 2*t^8.09 - 2*t^8.101 - t^8.12 + t^8.283 + 3*t^8.302 + t^8.325 + 2*t^8.333 + t^8.353 + t^8.372 + t^8.496 + 2*t^8.515 - 3*t^8.535 + t^8.546 - 4*t^8.555 + t^8.566 - t^8.574 + 2*t^8.728 - 3*t^8.767 + t^8.779 - t^8.787 + t^8.798 + 2*t^8.941 - t^8.961 + t^8.972 - 7*t^8.98 + t^8.992 - t^4.384/y - t^6.465/y - t^6.919/y - t^6.938/y - t^7.151/y - t^7.364/y + t^7.403/y + (2*t^7.616)/y + t^7.636/y + t^7.829/y + (2*t^7.849)/y + (2*t^8.062)/y + t^8.081/y + t^8.09/y + (2*t^8.302)/y + t^8.322/y + (2*t^8.515)/y + (3*t^8.535)/y - t^8.546/y + t^8.555/y + t^8.566/y + (2*t^8.748)/y + t^8.767/y + t^8.961/y + (2*t^8.98)/y - t^4.384*y - t^6.465*y - t^6.919*y - t^6.938*y - t^7.151*y - t^7.364*y + t^7.403*y + 2*t^7.616*y + t^7.636*y + t^7.829*y + 2*t^7.849*y + 2*t^8.062*y + t^8.081*y + t^8.09*y + 2*t^8.302*y + t^8.322*y + 2*t^8.515*y + 3*t^8.535*y - t^8.546*y + t^8.555*y + t^8.566*y + 2*t^8.748*y + t^8.767*y + t^8.961*y + 2*t^8.98*y | g1^5*g2^5*t^2.081 + t^2.535/(g1^4*g2^4) + t^2.555/(g1^6*g2^2) + t^2.767/(g1^2*g2^2) + (2*g1^2*t^2.98)/g2^2 + t^3. + g1^2*g2^6*t^3.485 + g1^10*g2^10*t^4.163 + (g1*t^4.364)/g2^3 + t^4.384/(g1*g2) + (g2*t^4.403)/g1^3 + g1*g2*t^4.616 + (g2^3*t^4.636)/g1 + (g1^7*t^4.81)/g2 + g1^5*g2*t^4.829 + 3*g1^3*g2^3*t^4.849 + g1*g2^5*t^4.868 + (g2^7*t^4.888)/g1 + 2*g1^7*g2^3*t^5.062 + t^5.07/(g1^8*g2^8) + g1^5*g2^5*t^5.081 + t^5.09/(g1^10*g2^6) + t^5.109/(g1^12*g2^4) + t^5.302/(g1^6*g2^6) + t^5.322/(g1^8*g2^4) + t^5.515/(g1^2*g2^6) + (3*t^5.535)/(g1^4*g2^4) + g1^7*g2^11*t^5.566 + (2*t^5.748)/g2^4 + t^5.767/(g1^2*g2^2) + (2*g1^4*t^5.961)/g2^4 - 3*t^6. - (g2^2*t^6.02)/g1^2 + g1^15*g2^15*t^6.244 + g2^4*t^6.252 + g1^4*g2^4*t^6.465 + g1^2*g2^6*t^6.485 + g1^6*g2^6*t^6.698 + g1^4*g2^8*t^6.717 + g1^12*g2^4*t^6.891 + g1^10*g2^6*t^6.91 + t^6.919/(g1^5*g2^5) + 3*g1^8*g2^8*t^6.93 + t^6.938/(g1^7*g2^3) + g1^6*g2^10*t^6.95 + t^6.958/(g1^9*g2) + 2*g1^4*g2^12*t^6.969 + t^7.132/(g1*g2^5) + 2*g1^12*g2^8*t^7.143 + t^7.151/(g1^3*g2^3) + g1^10*g2^10*t^7.163 + (2*t^7.171)/(g1^5*g2) + (g2*t^7.19)/g1^7 + (2*g1^3*t^7.345)/g2^5 + (2*g1*t^7.364)/g2^3 + (3*t^7.384)/(g1*g2) + (2*g2*t^7.403)/g1^3 + (g2^3*t^7.423)/g1^5 + (g2^5*t^7.442)/g1^7 + (g1^5*t^7.577)/g2^3 + (g1^3*t^7.597)/g2 + t^7.605/(g1^12*g2^12) + 4*g1*g2*t^7.616 + t^7.624/(g1^14*g2^10) + t^7.644/(g1^16*g2^8) + g1^12*g2^16*t^7.647 + (g2^5*t^7.655)/g1^3 + t^7.664/(g1^18*g2^6) + (2*g1^9*t^7.79)/g2^3 + (2*g1^7*t^7.81)/g2 + 4*g1^5*g2*t^7.829 + t^7.837/(g1^10*g2^10) + 2*g1^3*g2^3*t^7.849 + t^7.857/(g1^12*g2^8) + g1*g2^5*t^7.868 + t^7.877/(g1^14*g2^6) + (g2^7*t^7.888)/g1 + g1^9*g2*t^8.042 + t^8.05/(g1^6*g2^10) - g1^7*g2^3*t^8.062 + (2*t^8.07)/(g1^8*g2^8) - 5*g1^5*g2^5*t^8.081 + (2*t^8.09)/(g1^10*g2^6) - 2*g1^3*g2^7*t^8.101 - g1*g2^9*t^8.12 + t^8.283/(g1^4*g2^8) + (3*t^8.302)/(g1^6*g2^6) + g1^20*g2^20*t^8.325 + 2*g1^5*g2^9*t^8.333 + g1^3*g2^11*t^8.353 + g1*g2^13*t^8.372 + t^8.496/g2^8 + (2*t^8.515)/(g1^2*g2^6) - (3*t^8.535)/(g1^4*g2^4) + g1^9*g2^9*t^8.546 - (4*t^8.555)/(g1^6*g2^2) + g1^7*g2^11*t^8.566 - t^8.574/g1^8 + (2*g1^2*t^8.728)/g2^6 - (3*t^8.767)/(g1^2*g2^2) + g1^11*g2^11*t^8.779 - t^8.787/g1^4 + g1^9*g2^13*t^8.798 + (2*g1^6*t^8.941)/g2^6 - (g1^4*t^8.961)/g2^4 + g1^17*g2^9*t^8.972 - (7*g1^2*t^8.98)/g2^2 + g1^15*g2^11*t^8.992 - t^4.384/(g1*g2*y) - (g1^4*g2^4*t^6.465)/y - t^6.919/(g1^5*g2^5*y) - t^6.938/(g1^7*g2^3*y) - t^7.151/(g1^3*g2^3*y) - (g1*t^7.364)/(g2^3*y) + (g2*t^7.403)/(g1^3*y) + (2*g1*g2*t^7.616)/y + (g2^3*t^7.636)/(g1*y) + (g1^5*g2*t^7.829)/y + (2*g1^3*g2^3*t^7.849)/y + (2*g1^7*g2^3*t^8.062)/y + (g1^5*g2^5*t^8.081)/y + t^8.09/(g1^10*g2^6*y) + (2*t^8.302)/(g1^6*g2^6*y) + t^8.322/(g1^8*g2^4*y) + (2*t^8.515)/(g1^2*g2^6*y) + (3*t^8.535)/(g1^4*g2^4*y) - (g1^9*g2^9*t^8.546)/y + t^8.555/(g1^6*g2^2*y) + (g1^7*g2^11*t^8.566)/y + (2*t^8.748)/(g2^4*y) + t^8.767/(g1^2*g2^2*y) + (g1^4*t^8.961)/(g2^4*y) + (2*g1^2*t^8.98)/(g2^2*y) - (t^4.384*y)/(g1*g2) - g1^4*g2^4*t^6.465*y - (t^6.919*y)/(g1^5*g2^5) - (t^6.938*y)/(g1^7*g2^3) - (t^7.151*y)/(g1^3*g2^3) - (g1*t^7.364*y)/g2^3 + (g2*t^7.403*y)/g1^3 + 2*g1*g2*t^7.616*y + (g2^3*t^7.636*y)/g1 + g1^5*g2*t^7.829*y + 2*g1^3*g2^3*t^7.849*y + 2*g1^7*g2^3*t^8.062*y + g1^5*g2^5*t^8.081*y + (t^8.09*y)/(g1^10*g2^6) + (2*t^8.302*y)/(g1^6*g2^6) + (t^8.322*y)/(g1^8*g2^4) + (2*t^8.515*y)/(g1^2*g2^6) + (3*t^8.535*y)/(g1^4*g2^4) - g1^9*g2^9*t^8.546*y + (t^8.555*y)/(g1^6*g2^2) + g1^7*g2^11*t^8.566*y + (2*t^8.748*y)/g2^4 + (t^8.767*y)/(g1^2*g2^2) + (g1^4*t^8.961*y)/g2^4 + (2*g1^2*t^8.98*y)/g2^2 |
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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
948 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}^{2}$ + ${ }M_{5}M_{6}$ | 0.7195 | 0.8834 | 0.8145 | [M:[1.0, 0.8368, 0.844, 0.9927, 1.0073, 0.9927], q:[0.5816, 0.4184], qb:[0.5744, 0.5889], phi:[0.4592]] | t^2.51 + t^2.532 + t^2.755 + 2*t^2.978 + t^3. + t^3.511 + t^3.888 + t^4.356 + t^4.378 + t^4.399 + t^4.824 + t^4.845 + 2*t^4.867 + t^4.889 + t^4.911 + t^5.021 + t^5.042 + t^5.064 + t^5.266 + t^5.287 + t^5.489 + 3*t^5.51 + 2*t^5.733 + t^5.755 + 2*t^5.956 - 3*t^6. - t^4.378/y - t^4.378*y | detail |