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 |
---|---|---|---|---|---|---|---|---|---|
962 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.7198 | 0.8904 | 0.8084 | [M:[0.8037, 1.0654, 0.8691, 1.0, 1.0, 0.8691], q:[0.6636, 0.5327], qb:[0.4673, 0.4673], phi:[0.4673]] | [M:[[6, 6], [-2, -2], [3, 5], [1, -1], [-1, 1], [5, 3]], q:[[-5, -5], [-1, -1]], qb:[[2, 0], [0, 2]], phi:[[1, 1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }M_{6}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{5}$, ${ }M_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}M_{6}$, ${ }M_{1}M_{3}$, ${ }M_{6}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{3}M_{5}$, ${ }M_{2}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{5}\phi_{1}^{2}$ | ${}M_{4}^{2}$, ${ }M_{5}^{2}$ | -2 | t^2.411 + 2*t^2.607 + t^2.804 + 2*t^3. + t^3.196 + 3*t^4.206 + 2*t^4.402 + t^4.598 + 2*t^4.794 + t^4.822 + t^4.991 + 2*t^5.018 + 4*t^5.215 + t^5.383 + 2*t^5.411 + 5*t^5.607 + 2*t^5.804 - 2*t^6. - t^6.393 - 2*t^6.589 + 3*t^6.617 + 6*t^6.813 + 7*t^7.009 + 8*t^7.206 + t^7.233 + 4*t^7.402 + 2*t^7.43 + 2*t^7.598 + 4*t^7.626 + 6*t^7.822 + 5*t^8.018 + 6*t^8.215 + 4*t^8.411 - 2*t^8.607 - 3*t^8.804 - t^4.402/y - t^6.813/y - (2*t^7.009)/y + (2*t^7.794)/y + t^7.991/y + (2*t^8.018)/y + (2*t^8.215)/y + (4*t^8.411)/y + (5*t^8.607)/y + (4*t^8.804)/y - t^4.402*y - t^6.813*y - 2*t^7.009*y + 2*t^7.794*y + t^7.991*y + 2*t^8.018*y + 2*t^8.215*y + 4*t^8.411*y + 5*t^8.607*y + 4*t^8.804*y | g1^6*g2^6*t^2.411 + g1^5*g2^3*t^2.607 + g1^3*g2^5*t^2.607 + g1^2*g2^2*t^2.804 + (g1*t^3.)/g2 + (g2*t^3.)/g1 + t^3.196/(g1^2*g2^2) + g1^5*g2*t^4.206 + g1^3*g2^3*t^4.206 + g1*g2^5*t^4.206 + g1^2*t^4.402 + g2^2*t^4.402 + t^4.598/(g1*g2) + t^4.794/(g1^2*g2^4) + t^4.794/(g1^4*g2^2) + g1^12*g2^12*t^4.822 + t^4.991/(g1^5*g2^5) + g1^11*g2^9*t^5.018 + g1^9*g2^11*t^5.018 + g1^10*g2^6*t^5.215 + 2*g1^8*g2^8*t^5.215 + g1^6*g2^10*t^5.215 + t^5.383/(g1^9*g2^9) + g1^7*g2^5*t^5.411 + g1^5*g2^7*t^5.411 + g1^6*g2^2*t^5.607 + 3*g1^4*g2^4*t^5.607 + g1^2*g2^6*t^5.607 + g1^3*g2*t^5.804 + g1*g2^3*t^5.804 - 2*t^6. - t^6.393/(g1^4*g2^4) - t^6.589/(g1^5*g2^7) - t^6.589/(g1^7*g2^5) + g1^11*g2^7*t^6.617 + g1^9*g2^9*t^6.617 + g1^7*g2^11*t^6.617 + g1^10*g2^4*t^6.813 + 2*g1^8*g2^6*t^6.813 + 2*g1^6*g2^8*t^6.813 + g1^4*g2^10*t^6.813 + 2*g1^7*g2^3*t^7.009 + 3*g1^5*g2^5*t^7.009 + 2*g1^3*g2^7*t^7.009 + g1^6*t^7.206 + 3*g1^4*g2^2*t^7.206 + 3*g1^2*g2^4*t^7.206 + g2^6*t^7.206 + g1^18*g2^18*t^7.233 + (g1^3*t^7.402)/g2 + 2*g1*g2*t^7.402 + (g2^3*t^7.402)/g1 + g1^17*g2^15*t^7.43 + g1^15*g2^17*t^7.43 + t^7.598/g1^2 + t^7.598/g2^2 + g1^16*g2^12*t^7.626 + 2*g1^14*g2^14*t^7.626 + g1^12*g2^16*t^7.626 + g1^15*g2^9*t^7.822 + 2*g1^13*g2^11*t^7.822 + 2*g1^11*g2^13*t^7.822 + g1^9*g2^15*t^7.822 + g1^12*g2^8*t^8.018 + 3*g1^10*g2^10*t^8.018 + g1^8*g2^12*t^8.018 + g1^11*g2^5*t^8.215 + 2*g1^9*g2^7*t^8.215 + 2*g1^7*g2^9*t^8.215 + g1^5*g2^11*t^8.215 + g1^10*g2^2*t^8.411 + g1^8*g2^4*t^8.411 + g1^4*g2^8*t^8.411 + g1^2*g2^10*t^8.411 + g1^7*g2*t^8.607 - 2*g1^5*g2^3*t^8.607 - 2*g1^3*g2^5*t^8.607 + g1*g2^7*t^8.607 - 3*g1^2*g2^2*t^8.804 - (g1*g2*t^4.402)/y - (g1^7*g2^7*t^6.813)/y - (g1^6*g2^4*t^7.009)/y - (g1^4*g2^6*t^7.009)/y + t^7.794/(g1^2*g2^4*y) + t^7.794/(g1^4*g2^2*y) + t^7.991/(g1^5*g2^5*y) + (g1^11*g2^9*t^8.018)/y + (g1^9*g2^11*t^8.018)/y + (2*g1^8*g2^8*t^8.215)/y + (2*g1^7*g2^5*t^8.411)/y + (2*g1^5*g2^7*t^8.411)/y + (g1^6*g2^2*t^8.607)/y + (3*g1^4*g2^4*t^8.607)/y + (g1^2*g2^6*t^8.607)/y + (2*g1^3*g2*t^8.804)/y + (2*g1*g2^3*t^8.804)/y - g1*g2*t^4.402*y - g1^7*g2^7*t^6.813*y - g1^6*g2^4*t^7.009*y - g1^4*g2^6*t^7.009*y + (t^7.794*y)/(g1^2*g2^4) + (t^7.794*y)/(g1^4*g2^2) + (t^7.991*y)/(g1^5*g2^5) + g1^11*g2^9*t^8.018*y + g1^9*g2^11*t^8.018*y + 2*g1^8*g2^8*t^8.215*y + 2*g1^7*g2^5*t^8.411*y + 2*g1^5*g2^7*t^8.411*y + g1^6*g2^2*t^8.607*y + 3*g1^4*g2^4*t^8.607*y + g1^2*g2^6*t^8.607*y + 2*g1^3*g2*t^8.804*y + 2*g1*g2^3*t^8.804*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 |
---|---|---|---|---|---|---|---|---|
1497 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{7}$ | 0.7209 | 0.8929 | 0.8074 | [M:[0.8043, 1.0652, 0.8464, 1.0231, 0.9769, 0.8926, 0.9769], q:[0.6631, 0.5326], qb:[0.4905, 0.4443], phi:[0.4674]] | t^2.413 + t^2.539 + t^2.678 + t^2.804 + 2*t^2.931 + t^3.196 + t^4.068 + t^4.206 + t^4.333 + t^4.345 + t^4.472 + t^4.598 + t^4.724 + t^4.826 + t^4.863 + t^4.952 + t^4.989 + t^5.078 + t^5.091 + 2*t^5.217 + 2*t^5.343 + t^5.356 + t^5.381 + 2*t^5.47 + 3*t^5.609 + 2*t^5.735 + 2*t^5.861 - 3*t^6. - t^4.402/y - t^4.402*y | detail | |
1496 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}^{2}$ | 0.7141 | 0.8795 | 0.8119 | [M:[0.8237, 1.0588, 0.8824, 1.0, 1.0, 0.8824, 1.0588], q:[0.6469, 0.5294], qb:[0.4706, 0.4706], phi:[0.4706]] | t^2.471 + 2*t^2.647 + 2*t^3. + 2*t^3.176 + 3*t^4.236 + 2*t^4.412 + t^4.588 + 2*t^4.764 + t^4.941 + t^4.942 + 2*t^5.118 + t^5.293 + 3*t^5.295 + 5*t^5.647 + 2*t^5.824 - 3*t^6. - t^4.412/y - t^4.412*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 |
---|---|---|---|---|---|---|---|---|---|
600 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ | 0.7101 | 0.8727 | 0.8137 | [M:[0.8432, 1.0523, 0.8729, 1.0226, 0.9774], q:[0.6307, 0.5261], qb:[0.4964, 0.4513], phi:[0.4739]] | t^2.53 + t^2.619 + t^2.843 + t^2.932 + t^3.068 + t^3.157 + t^3.246 + t^4.129 + t^4.265 + t^4.354 + t^4.4 + t^4.489 + t^4.578 + t^4.668 + t^4.803 + t^4.892 + t^5.059 + t^5.148 + t^5.206 + t^5.237 + t^5.373 + t^5.462 + t^5.551 + 2*t^5.686 + 2*t^5.776 + t^5.865 - 2*t^6. - t^4.422/y - t^4.422*y | detail |