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 |
---|---|---|---|---|---|---|---|---|---|
2882 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ | 0.6698 | 0.8933 | 0.7498 | [M:[1.0, 1.0506, 0.8987, 0.7373, 0.7373, 0.6867, 0.6867], q:[0.7627, 0.2373], qb:[0.5506, 0.5506], phi:[0.4747]] | [M:[[0, 0], [4, 4], [-8, -8], [-5, 3], [3, -5], [-9, -1], [-1, -9]], q:[[1, 1], [-1, -1]], qb:[[8, 0], [0, 8]], phi:[[-2, -2]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{7}$, ${ }M_{6}$, ${ }M_{5}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{3}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}$, ${ }M_{2}$, ${ }M_{7}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{6}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{5}M_{6}$, ${ }M_{4}M_{7}$, ${ }M_{4}M_{6}$, ${ }M_{5}^{2}$, ${ }M_{7}q_{2}\tilde{q}_{1}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{7}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{3}M_{6}$, ${ }M_{3}M_{5}$, ${ }M_{7}\phi_{1}q_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{2}M_{7}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{1}M_{4}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{3}$, ${ }\phi_{1}^{2}q_{2}^{4}$, ${ }M_{2}M_{3}$ | ${}$ | -4 | 2*t^2.06 + 2*t^2.212 + 2*t^2.364 + t^2.696 + t^2.848 + t^3. + t^3.152 + 3*t^4.12 + 4*t^4.272 + 7*t^4.424 + 4*t^4.576 + 6*t^4.728 + 2*t^4.756 + 4*t^4.908 + 4*t^5.06 + 6*t^5.212 + 4*t^5.364 + t^5.392 + 2*t^5.516 + t^5.544 + 2*t^5.696 + t^5.848 - 4*t^6. + 4*t^6.18 + 6*t^6.332 + 10*t^6.484 + 10*t^6.636 + 14*t^6.788 + 3*t^6.816 + 8*t^6.94 + 7*t^6.968 + 8*t^7.092 + 10*t^7.12 + 14*t^7.272 + 13*t^7.424 + 2*t^7.453 + 12*t^7.576 + 4*t^7.604 + 6*t^7.728 + 6*t^7.756 + 3*t^7.88 + 6*t^7.908 - 4*t^8.06 + t^8.089 - 8*t^8.212 + 6*t^8.241 - 10*t^8.364 + 10*t^8.392 - 4*t^8.516 + 15*t^8.544 - 2*t^8.668 + 11*t^8.696 + 18*t^8.848 + 4*t^8.877 - t^4.424/y - (2*t^6.484)/y - (2*t^6.636)/y + (4*t^7.272)/y + (5*t^7.424)/y + (4*t^7.576)/y + (2*t^7.728)/y + (2*t^7.756)/y + (4*t^7.908)/y + (6*t^8.06)/y + (8*t^8.212)/y + (6*t^8.364)/y + (2*t^8.516)/y - (2*t^8.544)/y - (3*t^8.696)/y - t^8.848/y - t^4.424*y - 2*t^6.484*y - 2*t^6.636*y + 4*t^7.272*y + 5*t^7.424*y + 4*t^7.576*y + 2*t^7.728*y + 2*t^7.756*y + 4*t^7.908*y + 6*t^8.06*y + 8*t^8.212*y + 6*t^8.364*y + 2*t^8.516*y - 2*t^8.544*y - 3*t^8.696*y - t^8.848*y | t^2.06/(g1*g2^9) + t^2.06/(g1^9*g2) + (g1^3*t^2.212)/g2^5 + (g2^3*t^2.212)/g1^5 + (g1^7*t^2.364)/g2 + (g2^7*t^2.364)/g1 + t^2.696/(g1^8*g2^8) + t^2.848/(g1^4*g2^4) + t^3. + g1^4*g2^4*t^3.152 + t^4.12/(g1^2*g2^18) + t^4.12/(g1^10*g2^10) + t^4.12/(g1^18*g2^2) + (g1^2*t^4.272)/g2^14 + (2*t^4.272)/(g1^6*g2^6) + (g2^2*t^4.272)/g1^14 + (2*g1^6*t^4.424)/g2^10 + (3*t^4.424)/(g1^2*g2^2) + (2*g2^6*t^4.424)/g1^10 + (g1^10*t^4.576)/g2^6 + 2*g1^2*g2^2*t^4.576 + (g2^10*t^4.576)/g1^6 + (2*g1^14*t^4.728)/g2^2 + 2*g1^6*g2^6*t^4.728 + (2*g2^14*t^4.728)/g1^2 + t^4.756/(g1^9*g2^17) + t^4.756/(g1^17*g2^9) + (2*t^4.908)/(g1^5*g2^13) + (2*t^4.908)/(g1^13*g2^5) + (2*t^5.06)/(g1*g2^9) + (2*t^5.06)/(g1^9*g2) + (3*g1^3*t^5.212)/g2^5 + (3*g2^3*t^5.212)/g1^5 + (2*g1^7*t^5.364)/g2 + (2*g2^7*t^5.364)/g1 + t^5.392/(g1^16*g2^16) + g1^11*g2^3*t^5.516 + g1^3*g2^11*t^5.516 + t^5.544/(g1^12*g2^12) + (2*t^5.696)/(g1^8*g2^8) + t^5.848/(g1^4*g2^4) - 2*t^6. - (g1^8*t^6.)/g2^8 - (g2^8*t^6.)/g1^8 + t^6.18/(g1^3*g2^27) + t^6.18/(g1^11*g2^19) + t^6.18/(g1^19*g2^11) + t^6.18/(g1^27*g2^3) + (g1*t^6.332)/g2^23 + (2*t^6.332)/(g1^7*g2^15) + (2*t^6.332)/(g1^15*g2^7) + (g2*t^6.332)/g1^23 + (2*g1^5*t^6.484)/g2^19 + (3*t^6.484)/(g1^3*g2^11) + (3*t^6.484)/(g1^11*g2^3) + (2*g2^5*t^6.484)/g1^19 + (2*g1^9*t^6.636)/g2^15 + (3*g1*t^6.636)/g2^7 + (3*g2*t^6.636)/g1^7 + (2*g2^9*t^6.636)/g1^15 + (3*g1^13*t^6.788)/g2^11 + (4*g1^5*t^6.788)/g2^3 + (4*g2^5*t^6.788)/g1^3 + (3*g2^13*t^6.788)/g1^11 + t^6.816/(g1^10*g2^26) + t^6.816/(g1^18*g2^18) + t^6.816/(g1^26*g2^10) + (2*g1^17*t^6.94)/g2^7 + 2*g1^9*g2*t^6.94 + 2*g1*g2^9*t^6.94 + (2*g2^17*t^6.94)/g1^7 + (2*t^6.968)/(g1^6*g2^22) + (3*t^6.968)/(g1^14*g2^14) + (2*t^6.968)/(g1^22*g2^6) + (2*g1^21*t^7.092)/g2^3 + 2*g1^13*g2^5*t^7.092 + 2*g1^5*g2^13*t^7.092 + (2*g2^21*t^7.092)/g1^3 + (3*t^7.12)/(g1^2*g2^18) + (4*t^7.12)/(g1^10*g2^10) + (3*t^7.12)/(g1^18*g2^2) + (4*g1^2*t^7.272)/g2^14 + (6*t^7.272)/(g1^6*g2^6) + (4*g2^2*t^7.272)/g1^14 + (4*g1^6*t^7.424)/g2^10 + (5*t^7.424)/(g1^2*g2^2) + (4*g2^6*t^7.424)/g1^10 + t^7.453/(g1^17*g2^25) + t^7.453/(g1^25*g2^17) + (4*g1^10*t^7.576)/g2^6 + 4*g1^2*g2^2*t^7.576 + (4*g2^10*t^7.576)/g1^6 + (2*t^7.604)/(g1^13*g2^21) + (2*t^7.604)/(g1^21*g2^13) + (2*g1^14*t^7.728)/g2^2 + 2*g1^6*g2^6*t^7.728 + (2*g2^14*t^7.728)/g1^2 + (3*t^7.756)/(g1^9*g2^17) + (3*t^7.756)/(g1^17*g2^9) + g1^18*g2^2*t^7.88 + g1^10*g2^10*t^7.88 + g1^2*g2^18*t^7.88 + (3*t^7.908)/(g1^5*g2^13) + (3*t^7.908)/(g1^13*g2^5) - (g1^7*t^8.06)/g2^17 - t^8.06/(g1*g2^9) - t^8.06/(g1^9*g2) - (g2^7*t^8.06)/g1^17 + t^8.089/(g1^24*g2^24) - (g1^11*t^8.212)/g2^13 - (3*g1^3*t^8.212)/g2^5 - (3*g2^3*t^8.212)/g1^5 - (g2^11*t^8.212)/g1^13 + t^8.241/(g1^4*g2^36) + t^8.241/(g1^12*g2^28) + (2*t^8.241)/(g1^20*g2^20) + t^8.241/(g1^28*g2^12) + t^8.241/(g1^36*g2^4) - (g1^15*t^8.364)/g2^9 - (4*g1^7*t^8.364)/g2 - (4*g2^7*t^8.364)/g1 - (g2^15*t^8.364)/g1^9 + t^8.392/g1^32 + t^8.392/g2^32 + (2*t^8.392)/(g1^8*g2^24) + (4*t^8.392)/(g1^16*g2^16) + (2*t^8.392)/(g1^24*g2^8) - 2*g1^11*g2^3*t^8.516 - 2*g1^3*g2^11*t^8.516 + (2*g1^4*t^8.544)/g2^28 + (3*t^8.544)/(g1^4*g2^20) + (5*t^8.544)/(g1^12*g2^12) + (3*t^8.544)/(g1^20*g2^4) + (2*g2^4*t^8.544)/g1^28 - g1^15*g2^7*t^8.668 - g1^7*g2^15*t^8.668 + (3*t^8.696)/g1^16 + (2*g1^8*t^8.696)/g2^24 + (3*t^8.696)/g2^16 + t^8.696/(g1^8*g2^8) + (2*g2^8*t^8.696)/g1^24 + (4*g1^12*t^8.848)/g2^20 + (4*g1^4*t^8.848)/g2^12 + (2*t^8.848)/(g1^4*g2^4) + (4*g2^4*t^8.848)/g1^12 + (4*g2^12*t^8.848)/g1^20 + t^8.877/(g1^11*g2^35) + t^8.877/(g1^19*g2^27) + t^8.877/(g1^27*g2^19) + t^8.877/(g1^35*g2^11) - t^4.424/(g1^2*g2^2*y) - t^6.484/(g1^3*g2^11*y) - t^6.484/(g1^11*g2^3*y) - (g1*t^6.636)/(g2^7*y) - (g2*t^6.636)/(g1^7*y) + (g1^2*t^7.272)/(g2^14*y) + (2*t^7.272)/(g1^6*g2^6*y) + (g2^2*t^7.272)/(g1^14*y) + (g1^6*t^7.424)/(g2^10*y) + (3*t^7.424)/(g1^2*g2^2*y) + (g2^6*t^7.424)/(g1^10*y) + (g1^10*t^7.576)/(g2^6*y) + (2*g1^2*g2^2*t^7.576)/y + (g2^10*t^7.576)/(g1^6*y) + (2*g1^6*g2^6*t^7.728)/y + t^7.756/(g1^9*g2^17*y) + t^7.756/(g1^17*g2^9*y) + (2*t^7.908)/(g1^5*g2^13*y) + (2*t^7.908)/(g1^13*g2^5*y) + (3*t^8.06)/(g1*g2^9*y) + (3*t^8.06)/(g1^9*g2*y) + (4*g1^3*t^8.212)/(g2^5*y) + (4*g2^3*t^8.212)/(g1^5*y) + (3*g1^7*t^8.364)/(g2*y) + (3*g2^7*t^8.364)/(g1*y) + (g1^11*g2^3*t^8.516)/y + (g1^3*g2^11*t^8.516)/y - t^8.544/(g1^4*g2^20*y) - t^8.544/(g1^20*g2^4*y) - t^8.696/(g1^16*y) - t^8.696/(g2^16*y) - t^8.696/(g1^8*g2^8*y) - (g1^4*t^8.848)/(g2^12*y) + t^8.848/(g1^4*g2^4*y) - (g2^4*t^8.848)/(g1^12*y) - (t^4.424*y)/(g1^2*g2^2) - (t^6.484*y)/(g1^3*g2^11) - (t^6.484*y)/(g1^11*g2^3) - (g1*t^6.636*y)/g2^7 - (g2*t^6.636*y)/g1^7 + (g1^2*t^7.272*y)/g2^14 + (2*t^7.272*y)/(g1^6*g2^6) + (g2^2*t^7.272*y)/g1^14 + (g1^6*t^7.424*y)/g2^10 + (3*t^7.424*y)/(g1^2*g2^2) + (g2^6*t^7.424*y)/g1^10 + (g1^10*t^7.576*y)/g2^6 + 2*g1^2*g2^2*t^7.576*y + (g2^10*t^7.576*y)/g1^6 + 2*g1^6*g2^6*t^7.728*y + (t^7.756*y)/(g1^9*g2^17) + (t^7.756*y)/(g1^17*g2^9) + (2*t^7.908*y)/(g1^5*g2^13) + (2*t^7.908*y)/(g1^13*g2^5) + (3*t^8.06*y)/(g1*g2^9) + (3*t^8.06*y)/(g1^9*g2) + (4*g1^3*t^8.212*y)/g2^5 + (4*g2^3*t^8.212*y)/g1^5 + (3*g1^7*t^8.364*y)/g2 + (3*g2^7*t^8.364*y)/g1 + g1^11*g2^3*t^8.516*y + g1^3*g2^11*t^8.516*y - (t^8.544*y)/(g1^4*g2^20) - (t^8.544*y)/(g1^20*g2^4) - (t^8.696*y)/g1^16 - (t^8.696*y)/g2^16 - (t^8.696*y)/(g1^8*g2^8) - (g1^4*t^8.848*y)/g2^12 + (t^8.848*y)/(g1^4*g2^4) - (g2^4*t^8.848*y)/g1^12 |
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 |
---|---|---|---|---|---|---|---|---|---|
1870 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ | 0.6491 | 0.8532 | 0.7608 | [M:[1.0, 1.0477, 0.9045, 0.7352, 0.7409, 0.6874], q:[0.7619, 0.2381], qb:[0.5506, 0.5449], phi:[0.4761]] | t^2.062 + t^2.206 + t^2.223 + t^2.349 + t^2.366 + t^2.714 + t^2.857 + t^3. + t^3.143 + t^3.92 + t^4.125 + t^4.268 + t^4.285 + 2*t^4.411 + 2*t^4.428 + t^4.446 + t^4.554 + 2*t^4.572 + t^4.589 + 2*t^4.698 + 2*t^4.715 + 2*t^4.732 + t^4.776 + 2*t^4.919 + t^4.936 + 2*t^5.062 + t^5.08 + 3*t^5.206 + 2*t^5.223 + 2*t^5.349 + 2*t^5.366 + t^5.427 + t^5.492 + t^5.509 + t^5.57 + 2*t^5.714 + t^5.857 - 2*t^6. - t^4.428/y - t^4.428*y | detail |