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 |
---|---|---|---|---|---|---|---|---|---|
50829 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{2}^{2}$ | 0.7097 | 0.8751 | 0.811 | [M:[0.8326, 1.0, 1.0837, 0.9163, 0.9582, 0.9582], q:[0.5628, 0.6046], qb:[0.4372, 0.4791], phi:[0.4791]] | [M:[[8], [0], [-4], [4], [2], [2]], q:[[-3], [-5]], qb:[[3], [1]], phi:[[1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }M_{4}$, ${ }M_{5}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{3}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{5}$, ${ }M_{2}M_{6}$, ${ }M_{2}\phi_{1}^{2}$ | ${}$ | -2 | t^2.498 + t^2.749 + 3*t^2.874 + t^3. + t^3.251 + t^4.061 + t^4.186 + t^4.312 + t^4.437 + 2*t^4.563 + t^4.688 + t^4.814 + t^4.939 + t^4.996 + t^5.065 + t^5.247 + 3*t^5.372 + t^5.498 + t^5.623 + 7*t^5.749 + t^5.874 - 2*t^6. + t^6.126 - t^6.251 - 2*t^6.377 + t^6.559 + t^6.684 + 2*t^6.81 + 4*t^6.935 + 5*t^7.061 + 3*t^7.186 + 3*t^7.312 + 5*t^7.437 + t^7.494 + 3*t^7.563 + t^7.745 + 2*t^7.814 + 3*t^7.87 + 2*t^7.939 + t^7.996 - t^8.065 + 2*t^8.121 - t^8.19 + 8*t^8.247 + t^8.316 + t^8.372 + 12*t^8.623 - t^8.749 - 8*t^8.874 - t^4.437/y - t^6.935/y - (3*t^7.312)/y + (3*t^7.563)/y + t^7.939/y + t^8.247/y + (3*t^8.372)/y + t^8.498/y + (3*t^8.623)/y + (5*t^8.749)/y + (3*t^8.874)/y - t^4.437*y - t^6.935*y - 3*t^7.312*y + 3*t^7.563*y + t^7.939*y + t^8.247*y + 3*t^8.372*y + t^8.498*y + 3*t^8.623*y + 5*t^8.749*y + 3*t^8.874*y | g1^8*t^2.498 + g1^4*t^2.749 + 3*g1^2*t^2.874 + t^3. + t^3.251/g1^4 + g1^7*t^4.061 + g1^5*t^4.186 + g1^3*t^4.312 + g1*t^4.437 + (2*t^4.563)/g1 + t^4.688/g1^3 + t^4.814/g1^5 + t^4.939/g1^7 + g1^16*t^4.996 + t^5.065/g1^9 + g1^12*t^5.247 + 3*g1^10*t^5.372 + g1^8*t^5.498 + g1^6*t^5.623 + 7*g1^4*t^5.749 + g1^2*t^5.874 - 2*t^6. + t^6.126/g1^2 - t^6.251/g1^4 - (2*t^6.377)/g1^6 + g1^15*t^6.559 + g1^13*t^6.684 + 2*g1^11*t^6.81 + 4*g1^9*t^6.935 + 5*g1^7*t^7.061 + 3*g1^5*t^7.186 + 3*g1^3*t^7.312 + 5*g1*t^7.437 + g1^24*t^7.494 + (3*t^7.563)/g1 + g1^20*t^7.745 + (2*t^7.814)/g1^5 + 3*g1^18*t^7.87 + (2*t^7.939)/g1^7 + g1^16*t^7.996 - t^8.065/g1^9 + 2*g1^14*t^8.121 - t^8.19/g1^11 + 8*g1^12*t^8.247 + t^8.316/g1^13 + g1^10*t^8.372 + 12*g1^6*t^8.623 - g1^4*t^8.749 - 8*g1^2*t^8.874 - (g1*t^4.437)/y - (g1^9*t^6.935)/y - (3*g1^3*t^7.312)/y + (3*t^7.563)/(g1*y) + t^7.939/(g1^7*y) + (g1^12*t^8.247)/y + (3*g1^10*t^8.372)/y + (g1^8*t^8.498)/y + (3*g1^6*t^8.623)/y + (5*g1^4*t^8.749)/y + (3*g1^2*t^8.874)/y - g1*t^4.437*y - g1^9*t^6.935*y - 3*g1^3*t^7.312*y + (3*t^7.563*y)/g1 + (t^7.939*y)/g1^7 + g1^12*t^8.247*y + 3*g1^10*t^8.372*y + g1^8*t^8.498*y + 3*g1^6*t^8.623*y + 5*g1^4*t^8.749*y + 3*g1^2*t^8.874*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 |
---|---|---|---|---|---|---|---|---|
56088 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{2}^{2}$ + ${ }M_{3}M_{7}$ | 0.718 | 0.8913 | 0.8056 | [M:[0.8015, 1.0, 1.0993, 0.9007, 0.9504, 0.9504, 0.9007], q:[0.5745, 0.6241], qb:[0.4255, 0.4752], phi:[0.4752]] | t^2.404 + 2*t^2.702 + 3*t^2.851 + t^3. + t^3.979 + t^4.128 + t^4.277 + t^4.426 + 2*t^4.574 + t^4.723 + t^4.809 + t^4.872 + t^5.021 + 2*t^5.107 + t^5.17 + 3*t^5.255 + 3*t^5.404 + 4*t^5.553 + 7*t^5.702 + t^5.851 - 3*t^6. - t^4.426/y - t^4.426*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 |
---|---|---|---|---|---|---|---|---|---|
47033 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ | 0.7476 | 0.931 | 0.803 | [M:[0.7516, 0.7516, 1.0, 1.0, 0.8758, 0.8758], q:[0.6863, 0.5621], qb:[0.5621, 0.4379], phi:[0.4379]] | 2*t^2.255 + 3*t^2.627 + 2*t^3. + t^3.941 + 2*t^4.314 + 3*t^4.51 + 4*t^4.686 + 6*t^4.882 + 2*t^5.059 + 9*t^5.255 + t^5.432 + 2*t^5.627 - 3*t^6. - t^4.314/y - t^4.314*y | detail |