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 |
---|---|---|---|---|---|---|---|---|---|
1422 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{2}M_{6}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ | 0.7357 | 0.9145 | 0.8046 | [M:[0.7826, 1.0276, 0.9724, 0.8378, 1.0, 0.9724, 0.8102], q:[0.6225, 0.5949], qb:[0.4051, 0.5673], phi:[0.4525]] | [M:[[6, 1], [-2, -1], [2, 1], [2, -1], [0, 0], [2, 1], [4, 0]], q:[[-4, -1], [-2, 0]], qb:[[2, 0], [0, 1]], phi:[[1, 0]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }M_{7}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{6}$, ${ }M_{5}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{7}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{6}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{6}$, ${ }M_{5}M_{7}$, ${ }\phi_{1}^{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}^{2}$ | ${}$ | -3 | t^2.348 + t^2.431 + t^2.513 + t^2.715 + 2*t^2.917 + t^3. + t^3.788 + t^4.275 + t^4.358 + t^4.44 + t^4.696 + t^4.762 + t^4.778 + t^4.844 + 2*t^4.861 + 2*t^4.927 + t^4.944 + t^5.01 + t^5.027 + t^5.063 + t^5.093 + t^5.146 + t^5.229 + 2*t^5.265 + 2*t^5.348 + 3*t^5.431 + 2*t^5.633 + t^5.715 + 2*t^5.834 - 3*t^6. - 2*t^6.083 + t^6.136 - t^6.166 + t^6.219 + t^6.302 - t^6.487 + t^6.504 - 2*t^6.569 + t^6.623 - t^6.652 + 3*t^6.705 + 3*t^6.788 + t^6.871 + t^6.954 + t^6.99 + t^7.043 + t^7.109 + t^7.126 + t^7.156 + 3*t^7.192 + 2*t^7.209 + 4*t^7.275 + 2*t^7.292 + 3*t^7.358 + 2*t^7.375 + t^7.411 + 2*t^7.44 + t^7.457 + t^7.477 + t^7.494 + t^7.523 + t^7.54 + 3*t^7.576 + t^7.606 + 2*t^7.613 + t^7.642 + t^7.659 + 2*t^7.679 + 2*t^7.696 + t^7.742 + 2*t^7.762 + 4*t^7.778 + t^7.808 + 2*t^7.844 + 2*t^7.861 + 2*t^7.944 + 2*t^7.98 - t^8.046 + 3*t^8.063 - t^8.129 + 4*t^8.146 + 2*t^8.182 - 2*t^8.212 + t^8.229 + t^8.265 - t^8.295 - t^8.348 - t^8.377 - t^8.414 - 5*t^8.431 + t^8.484 - t^8.496 - 6*t^8.513 + 3*t^8.55 + t^8.567 - t^8.579 - 2*t^8.596 + t^8.633 + 2*t^8.649 - t^8.679 - t^8.715 + t^8.732 + 2*t^8.752 - t^8.798 + t^8.815 - 2*t^8.834 + t^8.851 - 9*t^8.917 + t^8.934 + t^8.971 - t^4.358/y - t^6.705/y - t^6.788/y - t^6.871/y - t^7.073/y - t^7.275/y + t^7.44/y + t^7.642/y + t^7.778/y + t^7.844/y + t^7.861/y + t^7.927/y + t^7.944/y + t^8.01/y + t^8.063/y + t^8.146/y + t^8.229/y + (2*t^8.265)/y + (3*t^8.348)/y + (3*t^8.431)/y + t^8.513/y + (2*t^8.633)/y + t^8.715/y + t^8.834/y + (2*t^8.917)/y - t^4.358*y - t^6.705*y - t^6.788*y - t^6.871*y - t^7.073*y - t^7.275*y + t^7.44*y + t^7.642*y + t^7.778*y + t^7.844*y + t^7.861*y + t^7.927*y + t^7.944*y + t^8.01*y + t^8.063*y + t^8.146*y + t^8.229*y + 2*t^8.265*y + 3*t^8.348*y + 3*t^8.431*y + t^8.513*y + 2*t^8.633*y + t^8.715*y + t^8.834*y + 2*t^8.917*y | g1^6*g2*t^2.348 + g1^4*t^2.431 + (g1^2*t^2.513)/g2 + g1^2*t^2.715 + 2*g1^2*g2*t^2.917 + t^3. + g1^5*t^3.788 + g1^3*g2*t^4.275 + g1*t^4.358 + t^4.44/(g1*g2) + g1^12*g2^2*t^4.696 + g1*g2^2*t^4.762 + g1^10*g2*t^4.778 + (g2*t^4.844)/g1 + 2*g1^8*t^4.861 + (2*t^4.927)/g1^3 + (g1^6*t^4.944)/g2 + t^5.01/(g1^5*g2) + (g1^4*t^5.027)/g2^2 + g1^8*g2*t^5.063 + t^5.093/(g1^7*g2^2) + g1^6*t^5.146 + (g1^4*t^5.229)/g2 + 2*g1^8*g2^2*t^5.265 + 2*g1^6*g2*t^5.348 + 3*g1^4*t^5.431 + 2*g1^4*g2*t^5.633 + g1^2*t^5.715 + 2*g1^4*g2^2*t^5.834 - 3*t^6. - (2*t^6.083)/(g1^2*g2) + g1^11*g2*t^6.136 - t^6.166/(g1^4*g2^2) + g1^9*t^6.219 + (g1^7*t^6.302)/g2 - (g2*t^6.487)/g1^2 + g1^7*t^6.504 - (2*t^6.569)/g1^4 + g1^9*g2^2*t^6.623 - t^6.652/(g1^6*g2) + 3*g1^7*g2*t^6.705 + 3*g1^5*t^6.788 + (g1^3*t^6.871)/g2 + (g1*t^6.954)/g2^2 + g1^5*g2*t^6.99 + g1^18*g2^3*t^7.043 + g1^7*g2^3*t^7.109 + g1^16*g2^2*t^7.126 + (g1*t^7.156)/g2 + 3*g1^5*g2^2*t^7.192 + 2*g1^14*g2*t^7.209 + 4*g1^3*g2*t^7.275 + 2*g1^12*t^7.292 + 3*g1*t^7.358 + (2*g1^10*t^7.375)/g2 + g1^14*g2^2*t^7.411 + (2*t^7.44)/(g1*g2) + (g1^8*t^7.457)/g2^2 + g1^3*g2^2*t^7.477 + g1^12*g2*t^7.494 + t^7.523/(g1^3*g2^2) + (g1^6*t^7.54)/g2^3 + 3*g1^10*t^7.576 + t^7.606/(g1^5*g2^3) + 2*g1^14*g2^3*t^7.613 + t^7.642/g1 + (g1^8*t^7.659)/g2 + 2*g1^3*g2^3*t^7.679 + 2*g1^12*g2^2*t^7.696 + (g1^6*t^7.742)/g2^2 + 2*g1*g2^2*t^7.762 + 4*g1^10*g2*t^7.778 + t^7.808/(g1^5*g2^2) + (2*g2*t^7.844)/g1 + 2*g1^8*t^7.861 + (2*g1^6*t^7.944)/g2 + 2*g1^10*g2^2*t^7.98 - (g2^2*t^8.046)/g1 + 3*g1^8*g2*t^8.063 - (g2*t^8.129)/g1^3 + 4*g1^6*t^8.146 + 2*g1^10*g2^3*t^8.182 - (2*t^8.212)/g1^5 + (g1^4*t^8.229)/g2 + g1^8*g2^2*t^8.265 - t^8.295/(g1^7*g2) - g1^6*g2*t^8.348 - t^8.377/(g1^9*g2^2) - (g2*t^8.414)/g1^5 - 5*g1^4*t^8.431 + g1^17*g2^2*t^8.484 - t^8.496/g1^7 - (6*g1^2*t^8.513)/g2 + 3*g1^6*g2^2*t^8.55 + g1^15*g2*t^8.567 - t^8.579/(g1^9*g2) - (2*t^8.596)/g2^2 + g1^4*g2*t^8.633 + 2*g1^13*t^8.649 - t^8.679/(g1^2*g2^3) - g1^2*t^8.715 + (g1^11*t^8.732)/g2 + 2*g1^6*g2^3*t^8.752 - t^8.798/g2 + (g1^9*t^8.815)/g2^2 - 2*g1^4*g2^2*t^8.834 + g1^13*g2*t^8.851 - 9*g1^2*g2*t^8.917 + g1^11*t^8.934 + g1^15*g2^3*t^8.971 - (g1*t^4.358)/y - (g1^7*g2*t^6.705)/y - (g1^5*t^6.788)/y - (g1^3*t^6.871)/(g2*y) - (g1^3*t^7.073)/y - (g1^3*g2*t^7.275)/y + t^7.44/(g1*g2*y) + t^7.642/(g1*y) + (g1^10*g2*t^7.778)/y + (g2*t^7.844)/(g1*y) + (g1^8*t^7.861)/y + t^7.927/(g1^3*y) + (g1^6*t^7.944)/(g2*y) + t^8.01/(g1^5*g2*y) + (g1^8*g2*t^8.063)/y + (g1^6*t^8.146)/y + (g1^4*t^8.229)/(g2*y) + (2*g1^8*g2^2*t^8.265)/y + (3*g1^6*g2*t^8.348)/y + (3*g1^4*t^8.431)/y + (g1^2*t^8.513)/(g2*y) + (2*g1^4*g2*t^8.633)/y + (g1^2*t^8.715)/y + (g1^4*g2^2*t^8.834)/y + (2*g1^2*g2*t^8.917)/y - g1*t^4.358*y - g1^7*g2*t^6.705*y - g1^5*t^6.788*y - (g1^3*t^6.871*y)/g2 - g1^3*t^7.073*y - g1^3*g2*t^7.275*y + (t^7.44*y)/(g1*g2) + (t^7.642*y)/g1 + g1^10*g2*t^7.778*y + (g2*t^7.844*y)/g1 + g1^8*t^7.861*y + (t^7.927*y)/g1^3 + (g1^6*t^7.944*y)/g2 + (t^8.01*y)/(g1^5*g2) + g1^8*g2*t^8.063*y + g1^6*t^8.146*y + (g1^4*t^8.229*y)/g2 + 2*g1^8*g2^2*t^8.265*y + 3*g1^6*g2*t^8.348*y + 3*g1^4*t^8.431*y + (g1^2*t^8.513*y)/g2 + 2*g1^4*g2*t^8.633*y + g1^2*t^8.715*y + g1^4*g2^2*t^8.834*y + 2*g1^2*g2*t^8.917*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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
925 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{2}M_{6}$ | 0.7207 | 0.8863 | 0.8132 | [M:[0.8101, 1.0276, 0.9724, 0.8653, 1.0, 0.9724], q:[0.6087, 0.5812], qb:[0.4188, 0.5536], phi:[0.4594]] | t^2.43 + t^2.596 + t^2.757 + 2*t^2.917 + t^3. + t^3.487 + t^3.891 + t^4.295 + t^4.378 + t^4.461 + t^4.7 + t^4.782 + t^4.861 + 2*t^4.865 + t^4.948 + t^5.026 + t^5.031 + t^5.187 + t^5.192 + 2*t^5.348 + t^5.352 + 2*t^5.513 + 2*t^5.674 + t^5.757 + 2*t^5.834 + t^5.917 - 3*t^6. - t^4.378/y - t^4.378*y | detail |