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 |
---|---|---|---|---|---|---|---|---|---|
4306 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{1}M_{5}$ + ${ }M_{3}M_{4}$ + ${ }M_{4}M_{6}$ + ${ }M_{5}M_{7}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6131 | 0.7877 | 0.7783 | [M:[0.6734, 0.6734, 1.0653, 0.9347, 1.3266, 1.0653, 0.6734, 0.804], q:[0.995, 0.603], qb:[0.3317, 0.4623], phi:[0.402]] | [M:[[-20], [-20], [4], [-4], [20], [4], [-20], [-12]], q:[[15], [-9]], qb:[[5], [13]], phi:[[-6]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }M_{7}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{8}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{6}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{7}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{7}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{8}$, ${ }M_{7}M_{8}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }q_{1}q_{2}$, ${ }M_{8}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{8}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{6}$, ${ }M_{3}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }M_{7}q_{2}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{8}$, ${ }M_{6}M_{8}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{8}q_{2}\tilde{q}_{2}$ | ${}$ | -3 | 2*t^2.02 + t^2.382 + 2*t^2.412 + 3*t^3.196 + 3*t^4.04 + t^4.372 + 2*t^4.402 + 4*t^4.432 + t^4.764 + 3*t^4.794 + 3*t^4.824 + 5*t^5.216 + 3*t^5.578 + 4*t^5.608 - 3*t^6. + 4*t^6.06 + 5*t^6.392 + 2*t^6.422 + 6*t^6.452 + t^6.754 + t^6.784 + 4*t^6.814 + 6*t^6.844 + t^7.146 + 3*t^7.206 + 11*t^7.236 + t^7.568 + 2*t^7.598 + 6*t^7.628 + 2*t^7.96 + 4*t^7.99 - t^8.02 + 5*t^8.08 - 5*t^8.382 + t^8.412 + 2*t^8.442 + 8*t^8.472 + t^8.744 + 3*t^8.774 + 2*t^8.804 + 4*t^8.834 + 9*t^8.864 - t^4.206/y - (2*t^6.226)/y - (2*t^6.618)/y + t^7.01/y + t^7.04/y + t^7.402/y + (4*t^7.432)/y + (4*t^7.794)/y + t^7.824/y + (2*t^8.186)/y + (6*t^8.216)/y - (3*t^8.246)/y + (3*t^8.578)/y + (6*t^8.608)/y - (4*t^8.638)/y - t^4.206*y - 2*t^6.226*y - 2*t^6.618*y + t^7.01*y + t^7.04*y + t^7.402*y + 4*t^7.432*y + 4*t^7.794*y + t^7.824*y + 2*t^8.186*y + 6*t^8.216*y - 3*t^8.246*y + 3*t^8.578*y + 6*t^8.608*y - 4*t^8.638*y | (2*t^2.02)/g1^20 + g1^18*t^2.382 + (2*t^2.412)/g1^12 + 3*g1^4*t^3.196 + (3*t^4.04)/g1^40 + g1^28*t^4.372 + (2*t^4.402)/g1^2 + (4*t^4.432)/g1^32 + g1^36*t^4.764 + 3*g1^6*t^4.794 + (3*t^4.824)/g1^24 + (5*t^5.216)/g1^16 + 3*g1^22*t^5.578 + (4*t^5.608)/g1^8 - 3*t^6. + (4*t^6.06)/g1^60 + 5*g1^8*t^6.392 + (2*t^6.422)/g1^22 + (6*t^6.452)/g1^52 + g1^46*t^6.754 + g1^16*t^6.784 + (4*t^6.814)/g1^14 + (6*t^6.844)/g1^44 + g1^54*t^7.146 + (3*t^7.206)/g1^6 + (11*t^7.236)/g1^36 + g1^32*t^7.568 + 2*g1^2*t^7.598 + (6*t^7.628)/g1^28 + 2*g1^40*t^7.96 + 4*g1^10*t^7.99 - t^8.02/g1^20 + (5*t^8.08)/g1^80 - 5*g1^18*t^8.382 + t^8.412/g1^12 + (2*t^8.442)/g1^42 + (8*t^8.472)/g1^72 + g1^56*t^8.744 + 3*g1^26*t^8.774 + (2*t^8.804)/g1^4 + (4*t^8.834)/g1^34 + (9*t^8.864)/g1^64 - t^4.206/(g1^6*y) - (2*t^6.226)/(g1^26*y) - (2*t^6.618)/(g1^18*y) + t^7.01/(g1^10*y) + t^7.04/(g1^40*y) + t^7.402/(g1^2*y) + (4*t^7.432)/(g1^32*y) + (4*g1^6*t^7.794)/y + t^7.824/(g1^24*y) + (2*g1^14*t^8.186)/y + (6*t^8.216)/(g1^16*y) - (3*t^8.246)/(g1^46*y) + (3*g1^22*t^8.578)/y + (6*t^8.608)/(g1^8*y) - (4*t^8.638)/(g1^38*y) - (t^4.206*y)/g1^6 - (2*t^6.226*y)/g1^26 - (2*t^6.618*y)/g1^18 + (t^7.01*y)/g1^10 + (t^7.04*y)/g1^40 + (t^7.402*y)/g1^2 + (4*t^7.432*y)/g1^32 + 4*g1^6*t^7.794*y + (t^7.824*y)/g1^24 + 2*g1^14*t^8.186*y + (6*t^8.216*y)/g1^16 - (3*t^8.246*y)/g1^46 + 3*g1^22*t^8.578*y + (6*t^8.608*y)/g1^8 - (4*t^8.638*y)/g1^38 |
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 |
---|---|---|---|---|---|---|---|---|
5764 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{1}M_{5}$ + ${ }M_{3}M_{4}$ + ${ }M_{4}M_{6}$ + ${ }M_{5}M_{7}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{9}$ | 0.5922 | 0.7465 | 0.7934 | [M:[0.6751, 0.6751, 1.065, 0.935, 1.3249, 1.065, 0.6751, 0.8051, 1.3249], q:[0.9937, 0.6038], qb:[0.3312, 0.4612], phi:[0.4025]] | t^2.025 + t^2.377 + 2*t^2.415 + 3*t^3.195 + t^3.975 + t^4.051 + t^4.364 + t^4.403 + 2*t^4.441 + t^4.754 + 3*t^4.792 + 3*t^4.83 + 2*t^5.22 + 3*t^5.572 + 4*t^5.61 - 2*t^6. - t^4.208/y - t^4.208*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 |
---|---|---|---|---|---|---|---|---|---|
2291 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{1}M_{5}$ + ${ }M_{3}M_{4}$ + ${ }M_{4}M_{6}$ + ${ }M_{5}M_{7}$ | 0.5971 | 0.7592 | 0.7865 | [M:[0.6878, 0.6878, 1.0624, 0.9376, 1.3122, 1.0624, 0.6878], q:[0.9841, 0.6095], qb:[0.328, 0.4529], phi:[0.4063]] | 2*t^2.063 + t^2.343 + t^2.438 + 3*t^3.187 + t^3.562 + 3*t^4.127 + t^4.311 + 2*t^4.406 + 2*t^4.502 + t^4.686 + 2*t^4.781 + t^4.876 + 5*t^5.251 + 3*t^5.53 + 3*t^5.625 + t^5.905 - 2*t^6. - t^4.219/y - t^4.219*y | detail |