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 |
---|---|---|---|---|---|---|---|---|---|
56810 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{7}$ | 0.6429 | 0.8517 | 0.7548 | [M:[0.9594, 0.9594, 0.6826, 0.8782, 1.0406, 0.6993, 1.0406], q:[0.7399, 0.3007], qb:[0.4797, 0.3985], phi:[0.5203]] | [M:[[4], [4], [-18], [12], [-4], [5], [-4]], q:[[1], [-5]], qb:[[2], [10]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{6}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{4}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}$, ${ }M_{7}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{7}$, ${ }M_{5}M_{6}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{7}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{7}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }M_{4}M_{5}$, ${ }M_{4}M_{7}$, ${ }M_{6}q_{1}\tilde{q}_{1}$, ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{7}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ | ${}$ | -2 | t^2.048 + 2*t^2.098 + t^2.341 + 2*t^2.635 + 2*t^3.122 + t^3.415 + 2*t^3.659 + t^4.096 + 2*t^4.146 + 4*t^4.196 + t^4.389 + 3*t^4.439 + 3*t^4.683 + 4*t^4.733 + 2*t^4.976 + 2*t^5.17 + 4*t^5.22 + 3*t^5.269 + 2*t^5.463 + 2*t^5.513 + t^5.707 + 7*t^5.756 - 2*t^6. + 2*t^6.05 + t^6.144 + 2*t^6.194 + 4*t^6.244 + 8*t^6.293 + t^6.437 + 3*t^6.487 + 4*t^6.537 + 3*t^6.731 + 7*t^6.78 + 8*t^6.83 + 6*t^7.074 + 2*t^7.218 + 3*t^7.267 + 10*t^7.317 + 6*t^7.367 + 2*t^7.511 + t^7.561 + 6*t^7.611 + t^7.754 + 4*t^7.804 + 11*t^7.854 + 4*t^7.904 - 3*t^8.048 - 2*t^8.098 + 4*t^8.148 + t^8.192 + 2*t^8.242 + 4*t^8.291 + 4*t^8.341 + 16*t^8.391 + t^8.485 + 3*t^8.535 + 2*t^8.585 + 3*t^8.685 + 3*t^8.778 + 5*t^8.828 + 10*t^8.878 + 14*t^8.928 - t^4.561/y - t^6.609/y - t^6.659/y + (2*t^7.146)/y + t^7.389/y + (3*t^7.439)/y + t^7.683/y + (4*t^7.733)/y + t^7.926/y + (2*t^7.976)/y + (2*t^8.17)/y + (4*t^8.22)/y + t^8.269/y + (4*t^8.463)/y + (3*t^8.513)/y - t^8.657/y + t^8.707/y + (8*t^8.756)/y - t^4.561*y - t^6.609*y - t^6.659*y + 2*t^7.146*y + t^7.389*y + 3*t^7.439*y + t^7.683*y + 4*t^7.733*y + t^7.926*y + 2*t^7.976*y + 2*t^8.17*y + 4*t^8.22*y + t^8.269*y + 4*t^8.463*y + 3*t^8.513*y - t^8.657*y + t^8.707*y + 8*t^8.756*y | t^2.048/g1^18 + 2*g1^5*t^2.098 + t^2.341/g1^3 + 2*g1^12*t^2.635 + (2*t^3.122)/g1^4 + g1^11*t^3.415 + 2*g1^3*t^3.659 + t^4.096/g1^36 + (2*t^4.146)/g1^13 + 4*g1^10*t^4.196 + t^4.389/g1^21 + 3*g1^2*t^4.439 + (3*t^4.683)/g1^6 + 4*g1^17*t^4.733 + 2*g1^9*t^4.976 + (2*t^5.17)/g1^22 + 4*g1*t^5.22 + 3*g1^24*t^5.269 + (2*t^5.463)/g1^7 + 2*g1^16*t^5.513 + t^5.707/g1^15 + 7*g1^8*t^5.756 - 2*t^6. + 2*g1^23*t^6.05 + t^6.144/g1^54 + (2*t^6.194)/g1^31 + (4*t^6.244)/g1^8 + 8*g1^15*t^6.293 + t^6.437/g1^39 + (3*t^6.487)/g1^16 + 4*g1^7*t^6.537 + (3*t^6.731)/g1^24 + (7*t^6.78)/g1 + 8*g1^22*t^6.83 + 6*g1^14*t^7.074 + (2*t^7.218)/g1^40 + (3*t^7.267)/g1^17 + 10*g1^6*t^7.317 + 6*g1^29*t^7.367 + (2*t^7.511)/g1^25 + t^7.561/g1^2 + 6*g1^21*t^7.611 + t^7.754/g1^33 + (4*t^7.804)/g1^10 + 11*g1^13*t^7.854 + 4*g1^36*t^7.904 - (3*t^8.048)/g1^18 - 2*g1^5*t^8.098 + 4*g1^28*t^8.148 + t^8.192/g1^72 + (2*t^8.242)/g1^49 + (4*t^8.291)/g1^26 + (4*t^8.341)/g1^3 + 16*g1^20*t^8.391 + t^8.485/g1^57 + (3*t^8.535)/g1^34 + (2*t^8.585)/g1^11 + 3*g1^35*t^8.685 + (3*t^8.778)/g1^42 + (5*t^8.828)/g1^19 + 10*g1^4*t^8.878 + 14*g1^27*t^8.928 - t^4.561/(g1^2*y) - t^6.609/(g1^20*y) - (g1^3*t^6.659)/y + (2*t^7.146)/(g1^13*y) + t^7.389/(g1^21*y) + (3*g1^2*t^7.439)/y + t^7.683/(g1^6*y) + (4*g1^17*t^7.733)/y + t^7.926/(g1^14*y) + (2*g1^9*t^7.976)/y + (2*t^8.17)/(g1^22*y) + (4*g1*t^8.22)/y + (g1^24*t^8.269)/y + (4*t^8.463)/(g1^7*y) + (3*g1^16*t^8.513)/y - t^8.657/(g1^38*y) + t^8.707/(g1^15*y) + (8*g1^8*t^8.756)/y - (t^4.561*y)/g1^2 - (t^6.609*y)/g1^20 - g1^3*t^6.659*y + (2*t^7.146*y)/g1^13 + (t^7.389*y)/g1^21 + 3*g1^2*t^7.439*y + (t^7.683*y)/g1^6 + 4*g1^17*t^7.733*y + (t^7.926*y)/g1^14 + 2*g1^9*t^7.976*y + (2*t^8.17*y)/g1^22 + 4*g1*t^8.22*y + g1^24*t^8.269*y + (4*t^8.463*y)/g1^7 + 3*g1^16*t^8.513*y - (t^8.657*y)/g1^38 + (t^8.707*y)/g1^15 + 8*g1^8*t^8.756*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 |
---|---|---|---|---|---|---|---|---|
58727 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{7}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6605 | 0.8829 | 0.7481 | [M:[0.9607, 0.9607, 0.6769, 0.8821, 1.0393, 0.7009, 1.0393, 0.7795], q:[0.7402, 0.2991], qb:[0.4803, 0.4017], phi:[0.5197]] | t^2.031 + 2*t^2.103 + 2*t^2.338 + 2*t^2.646 + 2*t^3.118 + t^3.426 + t^3.662 + t^4.061 + 2*t^4.133 + 4*t^4.205 + 2*t^4.369 + 5*t^4.441 + 5*t^4.677 + 4*t^4.749 + 4*t^4.985 + 2*t^5.149 + 4*t^5.221 + 3*t^5.292 + 4*t^5.456 + 2*t^5.528 + 6*t^5.764 - 2*t^6. - t^4.559/y - t^4.559*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 |
---|---|---|---|---|---|---|---|---|---|
55127 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6468 | 0.8588 | 0.7532 | [M:[0.9564, 0.9564, 0.6961, 0.8693, 1.0436, 0.6955], q:[0.7391, 0.3045], qb:[0.4782, 0.3911], phi:[0.5218]] | 2*t^2.087 + t^2.088 + t^2.348 + 2*t^2.608 + t^2.869 + t^3.131 + t^3.391 + 2*t^3.652 + 4*t^4.173 + 2*t^4.175 + t^4.176 + 3*t^4.435 + t^4.436 + 4*t^4.694 + 3*t^4.696 + 4*t^4.956 + t^4.957 + 3*t^5.216 + 3*t^5.217 + t^5.219 + 4*t^5.477 + t^5.479 + 6*t^5.739 + t^5.74 + 2*t^5.998 - t^6. - t^4.565/y - t^4.565*y | detail |