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 |
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# | 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 |
---|---|---|---|---|---|---|---|---|---|
2800 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ | 0.6488 | 0.8528 | 0.7607 | [M:[0.9727, 1.0819, 0.9181, 0.7352, 0.8057, 0.7898], q:[0.7432, 0.2841], qb:[0.4671, 0.4511], phi:[0.5136]] | [M:[[4, 4], [-12, -12], [12, 12], [-5, 7], [-1, -13], [-13, -1]], q:[[1, 1], [-5, -5]], qb:[[12, 0], [0, 12]], phi:[[-2, -2]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{4}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{6}$, ${ }M_{5}$, ${ }M_{3}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{6}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{5}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ | ${}M_{3}\phi_{1}q_{2}^{2}$ | -1 | 2*t^2.206 + t^2.253 + t^2.369 + t^2.417 + t^2.754 + t^2.918 + t^3.082 + t^3.246 + t^3.747 + t^4.247 + t^4.295 + t^4.343 + 3*t^4.411 + 2*t^4.459 + t^4.507 + 2*t^4.575 + 3*t^4.623 + t^4.671 + t^4.739 + t^4.786 + t^4.834 + 2*t^4.96 + t^5.008 + 3*t^5.124 + 2*t^5.172 + 3*t^5.287 + 2*t^5.335 + 2*t^5.451 + t^5.499 + t^5.509 + t^5.615 + t^5.663 + t^5.673 + t^5.836 + t^5.952 - t^6. - t^6.048 + t^6.116 + t^6.164 + t^6.327 + 2*t^6.453 + t^6.491 + 2*t^6.501 + t^6.549 + t^6.597 + 5*t^6.617 + 4*t^6.665 + 2*t^6.713 + 2*t^6.76 + 3*t^6.78 + 4*t^6.828 + t^6.876 + t^6.924 + 2*t^6.944 + 3*t^6.992 + t^7.002 + 2*t^7.04 + t^7.05 + t^7.088 + t^7.098 + t^7.108 + t^7.156 + 3*t^7.166 + t^7.204 + 2*t^7.214 + t^7.252 + t^7.261 + 5*t^7.329 + 3*t^7.377 + 2*t^7.425 + 6*t^7.493 + 3*t^7.541 + 2*t^7.589 + 4*t^7.657 + 3*t^7.705 + 2*t^7.714 + 2*t^7.753 + t^7.762 + 2*t^7.82 + 2*t^7.868 + 2*t^7.878 + t^7.916 + t^7.926 + t^7.984 + t^7.994 + t^8.032 + t^8.042 + t^8.08 + t^8.158 - 3*t^8.206 - 3*t^8.253 + t^8.263 - t^8.301 + t^8.321 - t^8.369 - 3*t^8.417 + t^8.427 - t^8.465 + t^8.485 + t^8.495 + 2*t^8.533 + t^8.543 + t^8.581 + 2*t^8.591 + t^8.639 + 3*t^8.659 + t^8.686 + 2*t^8.697 + 2*t^8.707 + t^8.745 - t^8.754 + 7*t^8.822 + t^8.85 + t^8.86 + 5*t^8.87 + t^8.908 - 2*t^8.918 + t^8.966 + 5*t^8.986 - t^4.541/y - t^6.747/y - t^6.91/y - t^6.958/y + t^7.411/y + (2*t^7.459)/y + (2*t^7.575)/y + (3*t^7.623)/y + t^7.671/y + t^7.786/y + (2*t^7.96)/y + t^8.008/y + (4*t^8.124)/y + (3*t^8.172)/y + (3*t^8.287)/y + (3*t^8.335)/y + (3*t^8.451)/y + (2*t^8.499)/y + t^8.615/y + t^8.663/y + t^8.673/y + t^8.836/y + t^8.952/y - t^4.541*y - t^6.747*y - t^6.91*y - t^6.958*y + t^7.411*y + 2*t^7.459*y + 2*t^7.575*y + 3*t^7.623*y + t^7.671*y + t^7.786*y + 2*t^7.96*y + t^8.008*y + 4*t^8.124*y + 3*t^8.172*y + 3*t^8.287*y + 3*t^8.335*y + 3*t^8.451*y + 2*t^8.499*y + t^8.615*y + t^8.663*y + t^8.673*y + t^8.836*y + t^8.952*y | (2*g2^7*t^2.206)/g1^5 + (g1^7*t^2.253)/g2^5 + t^2.369/(g1^13*g2) + t^2.417/(g1*g2^13) + g1^12*g2^12*t^2.754 + g1^4*g2^4*t^2.918 + t^3.082/(g1^4*g2^4) + t^3.246/(g1^12*g2^12) + (g2^5*t^3.747)/g1^7 + (g2^22*t^4.247)/g1^2 + g1^10*g2^10*t^4.295 + (g1^22*t^4.343)/g2^2 + (3*g2^14*t^4.411)/g1^10 + 2*g1^2*g2^2*t^4.459 + (g1^14*t^4.507)/g2^10 + (2*g2^6*t^4.575)/g1^18 + (3*t^4.623)/(g1^6*g2^6) + (g1^6*t^4.671)/g2^18 + t^4.739/(g1^26*g2^2) + t^4.786/(g1^14*g2^14) + t^4.834/(g1^2*g2^26) + 2*g1^7*g2^19*t^4.96 + g1^19*g2^7*t^5.008 + (3*g2^11*t^5.124)/g1 + (2*g1^11*t^5.172)/g2 + (3*g2^3*t^5.287)/g1^9 + (2*g1^3*t^5.335)/g2^9 + (2*t^5.451)/(g1^17*g2^5) + t^5.499/(g1^5*g2^17) + g1^24*g2^24*t^5.509 + t^5.615/(g1^25*g2^13) + t^5.663/(g1^13*g2^25) + g1^16*g2^16*t^5.673 + g1^8*g2^8*t^5.836 + (g2^12*t^5.952)/g1^12 - t^6. - (g1^12*t^6.048)/g2^12 + (g2^4*t^6.116)/g1^20 + t^6.164/(g1^8*g2^8) + t^6.327/(g1^16*g2^16) + (2*g2^29*t^6.453)/g1^7 + t^6.491/(g1^24*g2^24) + 2*g1^5*g2^17*t^6.501 + g1^17*g2^5*t^6.549 + (g1^29*t^6.597)/g2^7 + (5*g2^21*t^6.617)/g1^15 + (4*g2^9*t^6.665)/g1^3 + (2*g1^9*t^6.713)/g2^3 + (2*g1^21*t^6.76)/g2^15 + (3*g2^13*t^6.78)/g1^23 + (4*g2*t^6.828)/g1^11 + (g1*t^6.876)/g2^11 + (g1^13*t^6.924)/g2^23 + (2*g2^5*t^6.944)/g1^31 + (3*t^6.992)/(g1^19*g2^7) + g1^10*g2^34*t^7.002 + (2*t^7.04)/(g1^7*g2^19) + g1^22*g2^22*t^7.05 + (g1^5*t^7.088)/g2^31 + g1^34*g2^10*t^7.098 + t^7.108/(g1^39*g2^3) + t^7.156/(g1^27*g2^15) + 3*g1^2*g2^26*t^7.166 + t^7.204/(g1^15*g2^27) + 2*g1^14*g2^14*t^7.214 + t^7.252/(g1^3*g2^39) + g1^26*g2^2*t^7.261 + (5*g2^18*t^7.329)/g1^6 + 3*g1^6*g2^6*t^7.377 + (2*g1^18*t^7.425)/g2^6 + (6*g2^10*t^7.493)/g1^14 + (3*t^7.541)/(g1^2*g2^2) + (2*g1^10*t^7.589)/g2^14 + (4*g2^2*t^7.657)/g1^22 + (3*t^7.705)/(g1^10*g2^10) + 2*g1^19*g2^31*t^7.714 + (2*g1^2*t^7.753)/g2^22 + g1^31*g2^19*t^7.762 + (2*t^7.82)/(g1^30*g2^6) + (2*t^7.868)/(g1^18*g2^18) + 2*g1^11*g2^23*t^7.878 + t^7.916/(g1^6*g2^30) + g1^23*g2^11*t^7.926 + t^7.984/(g1^38*g2^14) + (g2^27*t^7.994)/g1^9 + t^8.032/(g1^26*g2^26) + g1^3*g2^15*t^8.042 + t^8.08/(g1^14*g2^38) + (g2^19*t^8.158)/g1^17 - (3*g2^7*t^8.206)/g1^5 - (3*g1^7*t^8.253)/g2^5 + g1^36*g2^36*t^8.263 - (g1^19*t^8.301)/g2^17 + (g2^11*t^8.321)/g1^25 - t^8.369/(g1^13*g2) - (3*t^8.417)/(g1*g2^13) + g1^28*g2^28*t^8.427 - (g1^11*t^8.465)/g2^25 + (g2^3*t^8.485)/g1^33 + (g2^44*t^8.495)/g1^4 + (2*t^8.533)/(g1^21*g2^9) + g1^8*g2^32*t^8.543 + t^8.581/(g1^9*g2^21) + 2*g1^20*g2^20*t^8.591 + g1^32*g2^8*t^8.639 + (3*g2^36*t^8.659)/g1^12 + (g1^44*t^8.686)/g2^4 + (2*t^8.697)/(g1^29*g2^17) + 2*g2^24*t^8.707 + t^8.745/(g1^17*g2^29) - g1^12*g2^12*t^8.754 + (7*g2^28*t^8.822)/g1^20 + (g1^36*t^8.85)/g2^12 + t^8.86/(g1^37*g2^25) + (5*g2^16*t^8.87)/g1^8 + t^8.908/(g1^25*g2^37) - 2*g1^4*g2^4*t^8.918 + (g1^16*t^8.966)/g2^8 + (5*g2^20*t^8.986)/g1^28 - t^4.541/(g1^2*g2^2*y) - (g2^5*t^6.747)/(g1^7*y) - t^6.91/(g1^15*g2^3*y) - t^6.958/(g1^3*g2^15*y) + (g2^14*t^7.411)/(g1^10*y) + (2*g1^2*g2^2*t^7.459)/y + (2*g2^6*t^7.575)/(g1^18*y) + (3*t^7.623)/(g1^6*g2^6*y) + (g1^6*t^7.671)/(g2^18*y) + t^7.786/(g1^14*g2^14*y) + (2*g1^7*g2^19*t^7.96)/y + (g1^19*g2^7*t^8.008)/y + (4*g2^11*t^8.124)/(g1*y) + (3*g1^11*t^8.172)/(g2*y) + (3*g2^3*t^8.287)/(g1^9*y) + (3*g1^3*t^8.335)/(g2^9*y) + (3*t^8.451)/(g1^17*g2^5*y) + (2*t^8.499)/(g1^5*g2^17*y) + t^8.615/(g1^25*g2^13*y) + t^8.663/(g1^13*g2^25*y) + (g1^16*g2^16*t^8.673)/y + (g1^8*g2^8*t^8.836)/y + (g2^12*t^8.952)/(g1^12*y) - (t^4.541*y)/(g1^2*g2^2) - (g2^5*t^6.747*y)/g1^7 - (t^6.91*y)/(g1^15*g2^3) - (t^6.958*y)/(g1^3*g2^15) + (g2^14*t^7.411*y)/g1^10 + 2*g1^2*g2^2*t^7.459*y + (2*g2^6*t^7.575*y)/g1^18 + (3*t^7.623*y)/(g1^6*g2^6) + (g1^6*t^7.671*y)/g2^18 + (t^7.786*y)/(g1^14*g2^14) + 2*g1^7*g2^19*t^7.96*y + g1^19*g2^7*t^8.008*y + (4*g2^11*t^8.124*y)/g1 + (3*g1^11*t^8.172*y)/g2 + (3*g2^3*t^8.287*y)/g1^9 + (3*g1^3*t^8.335*y)/g2^9 + (3*t^8.451*y)/(g1^17*g2^5) + (2*t^8.499*y)/(g1^5*g2^17) + (t^8.615*y)/(g1^25*g2^13) + (t^8.663*y)/(g1^13*g2^25) + g1^16*g2^16*t^8.673*y + g1^8*g2^8*t^8.836*y + (g2^12*t^8.952*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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# | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
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3323 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.6441 | 0.8475 | 0.76 | [M:[0.949, 1.153, 0.847, 0.7451, 0.8314, 0.847], q:[0.7373, 0.3137], qb:[0.4157, 0.4313], phi:[0.5255]] | t^2.188 + 2*t^2.235 + t^2.494 + 2*t^2.541 + t^2.847 + t^3.153 + t^3.459 + t^3.812 + t^4.071 + t^4.118 + t^4.164 + t^4.377 + 2*t^4.424 + 3*t^4.47 + t^4.683 + 4*t^4.729 + 4*t^4.776 + t^4.988 + 3*t^5.035 + 5*t^5.082 + 2*t^5.341 + 4*t^5.388 + t^5.647 + 3*t^5.694 - t^4.576/y - t^4.576*y | detail | |
3324 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 0.6584 | 0.8708 | 0.7561 | [M:[0.9566, 1.1301, 0.8699, 0.7317, 0.8334, 0.8184, 0.8699], q:[0.7392, 0.3042], qb:[0.4424, 0.4274], phi:[0.5217]] | 2*t^2.195 + t^2.24 + t^2.455 + t^2.5 + 2*t^2.61 + t^2.87 + t^3.13 + t^3.76 + t^4.13 + t^4.175 + t^4.22 + 3*t^4.39 + 2*t^4.435 + t^4.48 + 2*t^4.65 + 3*t^4.695 + t^4.74 + 4*t^4.805 + 2*t^4.85 + t^4.91 + t^4.955 + t^5. + 4*t^5.065 + 3*t^5.11 + 3*t^5.219 + 3*t^5.325 + 2*t^5.37 + 2*t^5.479 + 2*t^5.74 + t^5.955 - 2*t^6. - t^4.565/y - t^4.565*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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# | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
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No data available in table |
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 |
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# | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
---|---|---|---|---|---|---|---|---|---|
1788 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ | 0.6325 | 0.8243 | 0.7672 | [M:[0.9649, 1.1054, 0.8946, 0.7471, 0.8056], q:[0.7412, 0.2939], qb:[0.4414, 0.4532], phi:[0.5176]] | t^2.206 + 2*t^2.241 + t^2.417 + t^2.684 + t^2.895 + t^3.105 + t^3.316 + t^3.548 + t^3.794 + t^4.201 + t^4.236 + t^4.272 + t^4.412 + 2*t^4.447 + 3*t^4.483 + t^4.623 + 2*t^4.658 + t^4.833 + t^4.89 + 2*t^4.925 + 2*t^5.1 + 2*t^5.136 + 2*t^5.311 + 2*t^5.347 + t^5.367 + t^5.522 + t^5.558 + t^5.578 + t^5.733 + t^5.754 + 3*t^5.789 - t^6. - t^4.553/y - t^4.553*y | detail |