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 |
---|---|---|---|---|---|---|---|---|---|
2947 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ | 0.6679 | 0.8876 | 0.7526 | [M:[0.972, 1.084, 0.916, 0.743, 0.743, 0.799, 0.799], q:[0.743, 0.285], qb:[0.458, 0.458], phi:[0.514]] | [M:[[4, 4], [-12, -12], [12, 12], [-5, 7], [7, -5], [-13, -1], [-1, -13]], 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 |
---|---|---|---|---|
${}M_{5}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{7}$, ${ }M_{6}$, ${ }M_{3}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{7}q_{2}\tilde{q}_{1}$, ${ }M_{5}M_{6}$, ${ }M_{4}M_{7}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{7}q_{2}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{7}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{6}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{4}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{7}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{7}\phi_{1}q_{2}^{2}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$ | ${}M_{3}\phi_{1}q_{2}^{2}$ | -4 | 4*t^2.229 + 2*t^2.397 + t^2.748 + t^2.916 + t^3.084 + t^3.252 + 3*t^4.29 + 10*t^4.458 + 8*t^4.626 + 3*t^4.794 + 4*t^4.977 + 6*t^5.145 + 6*t^5.313 + 4*t^5.481 + t^5.496 + 2*t^5.649 + t^5.664 + t^5.832 - 4*t^6. + t^6.336 + t^6.504 + 8*t^6.519 + 22*t^6.687 + 16*t^6.855 + 10*t^7.023 + 3*t^7.038 + 4*t^7.191 + 10*t^7.206 + 16*t^7.374 + 16*t^7.542 + 13*t^7.71 + 4*t^7.725 + 7*t^7.878 + 4*t^7.893 + 3*t^8.046 - 16*t^8.229 + t^8.244 - 10*t^8.397 + t^8.412 + 2*t^8.565 + 6*t^8.58 + 4*t^8.733 + 10*t^8.748 + 2*t^8.901 + 30*t^8.916 - t^4.542/y - (2*t^6.771)/y - (2*t^6.939)/y + (6*t^7.458)/y + (8*t^7.626)/y + t^7.794/y + (4*t^7.977)/y + (8*t^8.145)/y + (8*t^8.313)/y + (6*t^8.481)/y + (2*t^8.649)/y + t^8.664/y + t^8.832/y - t^4.542*y - 2*t^6.771*y - 2*t^6.939*y + 6*t^7.458*y + 8*t^7.626*y + t^7.794*y + 4*t^7.977*y + 8*t^8.145*y + 8*t^8.313*y + 6*t^8.481*y + 2*t^8.649*y + t^8.664*y + t^8.832*y | (2*g1^7*t^2.229)/g2^5 + (2*g2^7*t^2.229)/g1^5 + t^2.397/(g1*g2^13) + t^2.397/(g1^13*g2) + g1^12*g2^12*t^2.748 + g1^4*g2^4*t^2.916 + t^3.084/(g1^4*g2^4) + t^3.252/(g1^12*g2^12) + (g1^22*t^4.29)/g2^2 + g1^10*g2^10*t^4.29 + (g2^22*t^4.29)/g1^2 + (3*g1^14*t^4.458)/g2^10 + 4*g1^2*g2^2*t^4.458 + (3*g2^14*t^4.458)/g1^10 + (2*g1^6*t^4.626)/g2^18 + (4*t^4.626)/(g1^6*g2^6) + (2*g2^6*t^4.626)/g1^18 + t^4.794/(g1^2*g2^26) + t^4.794/(g1^14*g2^14) + t^4.794/(g1^26*g2^2) + 2*g1^19*g2^7*t^4.977 + 2*g1^7*g2^19*t^4.977 + (3*g1^11*t^5.145)/g2 + (3*g2^11*t^5.145)/g1 + (3*g1^3*t^5.313)/g2^9 + (3*g2^3*t^5.313)/g1^9 + (2*t^5.481)/(g1^5*g2^17) + (2*t^5.481)/(g1^17*g2^5) + g1^24*g2^24*t^5.496 + t^5.649/(g1^13*g2^25) + t^5.649/(g1^25*g2^13) + g1^16*g2^16*t^5.664 + g1^8*g2^8*t^5.832 - 2*t^6. - (g1^12*t^6.)/g2^12 - (g2^12*t^6.)/g1^12 + t^6.336/(g1^16*g2^16) + t^6.504/(g1^24*g2^24) + (2*g1^29*t^6.519)/g2^7 + 2*g1^17*g2^5*t^6.519 + 2*g1^5*g2^17*t^6.519 + (2*g2^29*t^6.519)/g1^7 + (5*g1^21*t^6.687)/g2^15 + (6*g1^9*t^6.687)/g2^3 + (6*g2^9*t^6.687)/g1^3 + (5*g2^21*t^6.687)/g1^15 + (3*g1^13*t^6.855)/g2^23 + (5*g1*t^6.855)/g2^11 + (5*g2*t^6.855)/g1^11 + (3*g2^13*t^6.855)/g1^23 + (2*g1^5*t^7.023)/g2^31 + (3*t^7.023)/(g1^7*g2^19) + (3*t^7.023)/(g1^19*g2^7) + (2*g2^5*t^7.023)/g1^31 + g1^34*g2^10*t^7.038 + g1^22*g2^22*t^7.038 + g1^10*g2^34*t^7.038 + t^7.191/(g1^3*g2^39) + t^7.191/(g1^15*g2^27) + t^7.191/(g1^27*g2^15) + t^7.191/(g1^39*g2^3) + 3*g1^26*g2^2*t^7.206 + 4*g1^14*g2^14*t^7.206 + 3*g1^2*g2^26*t^7.206 + (5*g1^18*t^7.374)/g2^6 + 6*g1^6*g2^6*t^7.374 + (5*g2^18*t^7.374)/g1^6 + (5*g1^10*t^7.542)/g2^14 + (6*t^7.542)/(g1^2*g2^2) + (5*g2^10*t^7.542)/g1^14 + (4*g1^2*t^7.71)/g2^22 + (5*t^7.71)/(g1^10*g2^10) + (4*g2^2*t^7.71)/g1^22 + 2*g1^31*g2^19*t^7.725 + 2*g1^19*g2^31*t^7.725 + (2*t^7.878)/(g1^6*g2^30) + (3*t^7.878)/(g1^18*g2^18) + (2*t^7.878)/(g1^30*g2^6) + 2*g1^23*g2^11*t^7.893 + 2*g1^11*g2^23*t^7.893 + t^8.046/(g1^14*g2^38) + t^8.046/(g1^26*g2^26) + t^8.046/(g1^38*g2^14) - (2*g1^19*t^8.229)/g2^17 - (6*g1^7*t^8.229)/g2^5 - (6*g2^7*t^8.229)/g1^5 - (2*g2^19*t^8.229)/g1^17 + g1^36*g2^36*t^8.244 - (g1^11*t^8.397)/g2^25 - (4*t^8.397)/(g1*g2^13) - (4*t^8.397)/(g1^13*g2) - (g2^11*t^8.397)/g1^25 + g1^28*g2^28*t^8.412 + t^8.565/(g1^9*g2^21) + t^8.565/(g1^21*g2^9) + (g1^44*t^8.58)/g2^4 + g1^32*g2^8*t^8.58 + 2*g1^20*g2^20*t^8.58 + g1^8*g2^32*t^8.58 + (g2^44*t^8.58)/g1^4 + (2*t^8.733)/(g1^17*g2^29) + (2*t^8.733)/(g1^29*g2^17) + 2*g1^24*t^8.748 + (3*g1^36*t^8.748)/g2^12 + 2*g2^24*t^8.748 + (3*g2^36*t^8.748)/g1^12 + t^8.901/(g1^25*g2^37) + t^8.901/(g1^37*g2^25) + (7*g1^28*t^8.916)/g2^20 + (7*g1^16*t^8.916)/g2^8 + 2*g1^4*g2^4*t^8.916 + (7*g2^16*t^8.916)/g1^8 + (7*g2^28*t^8.916)/g1^20 - t^4.542/(g1^2*g2^2*y) - (g1^5*t^6.771)/(g2^7*y) - (g2^5*t^6.771)/(g1^7*y) - t^6.939/(g1^3*g2^15*y) - t^6.939/(g1^15*g2^3*y) + (g1^14*t^7.458)/(g2^10*y) + (4*g1^2*g2^2*t^7.458)/y + (g2^14*t^7.458)/(g1^10*y) + (2*g1^6*t^7.626)/(g2^18*y) + (4*t^7.626)/(g1^6*g2^6*y) + (2*g2^6*t^7.626)/(g1^18*y) + t^7.794/(g1^14*g2^14*y) + (2*g1^19*g2^7*t^7.977)/y + (2*g1^7*g2^19*t^7.977)/y + (4*g1^11*t^8.145)/(g2*y) + (4*g2^11*t^8.145)/(g1*y) + (4*g1^3*t^8.313)/(g2^9*y) + (4*g2^3*t^8.313)/(g1^9*y) + (3*t^8.481)/(g1^5*g2^17*y) + (3*t^8.481)/(g1^17*g2^5*y) + t^8.649/(g1^13*g2^25*y) + t^8.649/(g1^25*g2^13*y) + (g1^16*g2^16*t^8.664)/y + (g1^8*g2^8*t^8.832)/y - (t^4.542*y)/(g1^2*g2^2) - (g1^5*t^6.771*y)/g2^7 - (g2^5*t^6.771*y)/g1^7 - (t^6.939*y)/(g1^3*g2^15) - (t^6.939*y)/(g1^15*g2^3) + (g1^14*t^7.458*y)/g2^10 + 4*g1^2*g2^2*t^7.458*y + (g2^14*t^7.458*y)/g1^10 + (2*g1^6*t^7.626*y)/g2^18 + (4*t^7.626*y)/(g1^6*g2^6) + (2*g2^6*t^7.626*y)/g1^18 + (t^7.794*y)/(g1^14*g2^14) + 2*g1^19*g2^7*t^7.977*y + 2*g1^7*g2^19*t^7.977*y + (4*g1^11*t^8.145*y)/g2 + (4*g2^11*t^8.145*y)/g1 + (4*g1^3*t^8.313*y)/g2^9 + (4*g2^3*t^8.313*y)/g1^9 + (3*t^8.481*y)/(g1^5*g2^17) + (3*t^8.481*y)/(g1^17*g2^5) + (t^8.649*y)/(g1^13*g2^25) + (t^8.649*y)/(g1^25*g2^13) + g1^16*g2^16*t^8.664*y + g1^8*g2^8*t^8.832*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 |
---|---|---|---|---|---|---|---|---|
3532 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ | 0.6778 | 0.9061 | 0.748 | [M:[0.956, 1.1319, 0.8681, 0.739, 0.739, 0.827, 0.827, 0.8681], q:[0.739, 0.305], qb:[0.434, 0.434], phi:[0.522]] | 4*t^2.217 + 2*t^2.481 + 2*t^2.604 + t^2.868 + t^3.132 + 3*t^4.17 + 10*t^4.434 + 8*t^4.698 + 8*t^4.821 + 3*t^4.962 + 8*t^5.085 + 3*t^5.208 + 6*t^5.349 + 2*t^5.472 + 2*t^5.736 - 5*t^6. - t^4.566/y - t^4.566*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 |
---|---|---|---|---|---|---|---|---|---|
1914 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ | 0.6522 | 0.8612 | 0.7573 | [M:[0.964, 1.108, 0.892, 0.728, 0.754, 0.8], q:[0.741, 0.295], qb:[0.459, 0.433], phi:[0.518]] | 2*t^2.184 + 2*t^2.262 + t^2.4 + t^2.676 + t^2.892 + t^3.108 + t^3.324 + t^3.522 + t^4.152 + t^4.23 + t^4.308 + 3*t^4.368 + 4*t^4.446 + 3*t^4.524 + 2*t^4.584 + 2*t^4.662 + t^4.8 + 2*t^4.86 + 2*t^4.938 + 3*t^5.076 + 2*t^5.154 + 3*t^5.292 + t^5.352 + 2*t^5.37 + 2*t^5.508 + t^5.568 + t^5.586 + 2*t^5.706 + t^5.724 + 3*t^5.784 - 2*t^6. - t^4.554/y - t^4.554*y | detail |