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 |
---|---|---|---|---|---|---|---|---|---|
100 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ | 0.6732 | 0.7929 | 0.8491 | [M:[0.8614, 1.2464, 0.8614], q:[0.8116, 0.596], qb:[0.5426, 0.5426], phi:[0.3768]] | [M:[[-7, -7, 0], [4, 4, 4], [-7, 0, -7]], q:[[1, 1, 1], [7, 0, 0]], qb:[[0, 7, 0], [0, 0, 7]], phi:[[-2, -2, -2]]] | 3 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }M_{3}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{3}$ | ${}$ | -5 | 2*t^2.584 + t^3.256 + t^3.739 + 2*t^4.063 + t^4.223 + 3*t^4.386 + 2*t^4.546 + t^4.706 + 3*t^5.168 - 5*t^6. - 2*t^6.16 - t^6.483 + t^6.511 + 3*t^6.647 + 4*t^6.97 + t^6.995 + 2*t^7.318 + t^7.478 + 3*t^7.642 + 4*t^7.753 + 2*t^7.802 + t^7.962 + 3*t^8.125 + 2*t^8.285 + t^8.445 + 4*t^8.449 - 8*t^8.584 + 3*t^8.609 - t^8.744 + 2*t^8.769 + 5*t^8.772 + t^8.929 + 2*t^8.932 - t^4.13/y - (2*t^6.715)/y + (2*t^7.546)/y + t^8.168/y + (2*t^8.84)/y - t^4.13*y - 2*t^6.715*y + 2*t^7.546*y + t^8.168*y + 2*t^8.84*y | t^2.584/(g1^7*g2^7) + t^2.584/(g1^7*g3^7) + g2^7*g3^7*t^3.256 + g1^4*g2^4*g3^4*t^3.739 + g1*g2^8*g3*t^4.063 + g1*g2*g3^8*t^4.063 + g1^8*g2*g3*t^4.223 + (g2^12*t^4.386)/(g1^2*g3^2) + (g2^5*g3^5*t^4.386)/g1^2 + (g3^12*t^4.386)/(g1^2*g2^2) + (g1^5*g2^5*t^4.546)/g3^2 + (g1^5*g3^5*t^4.546)/g2^2 + (g1^12*t^4.706)/(g2^2*g3^2) + t^5.168/(g1^14*g2^14) + t^5.168/(g1^14*g3^14) + t^5.168/(g1^14*g2^7*g3^7) - 3*t^6. - (g2^7*t^6.)/g3^7 - (g3^7*t^6.)/g2^7 - (g1^7*t^6.16)/g2^7 - (g1^7*t^6.16)/g3^7 - (g1^4*t^6.483)/(g2^3*g3^3) + g2^14*g3^14*t^6.511 + (g2^8*t^6.647)/(g1^6*g3^6) + (g2*g3*t^6.647)/g1^6 + (g3^8*t^6.647)/(g1^6*g2^6) + (g2^12*t^6.97)/(g1^9*g3^9) + (g2^5*t^6.97)/(g1^9*g3^2) + (g3^5*t^6.97)/(g1^9*g2^2) + (g3^12*t^6.97)/(g1^9*g2^9) + g1^4*g2^11*g3^11*t^6.995 + g1*g2^15*g3^8*t^7.318 + g1*g2^8*g3^15*t^7.318 + g1^8*g2^8*g3^8*t^7.478 + (g2^19*g3^5*t^7.642)/g1^2 + (g2^12*g3^12*t^7.642)/g1^2 + (g2^5*g3^19*t^7.642)/g1^2 + t^7.753/(g1^21*g2^21) + t^7.753/(g1^21*g3^21) + t^7.753/(g1^21*g2^7*g3^14) + t^7.753/(g1^21*g2^14*g3^7) + g1^5*g2^12*g3^5*t^7.802 + g1^5*g2^5*g3^12*t^7.802 + g1^12*g2^5*g3^5*t^7.962 + g1^2*g2^16*g3^2*t^8.125 + g1^2*g2^9*g3^9*t^8.125 + g1^2*g2^2*g3^16*t^8.125 + g1^9*g2^9*g3^2*t^8.285 + g1^9*g2^2*g3^9*t^8.285 + g1^16*g2^2*g3^2*t^8.445 + (g2^20*t^8.449)/(g1*g3) + (g2^13*g3^6*t^8.449)/g1 + (g2^6*g3^13*t^8.449)/g1 + (g3^20*t^8.449)/(g1*g2) - (3*t^8.584)/(g1^7*g2^7) - (g2^7*t^8.584)/(g1^7*g3^14) - (3*t^8.584)/(g1^7*g3^7) - (g3^7*t^8.584)/(g1^7*g2^14) + (g1^6*g2^13*t^8.609)/g3 + g1^6*g2^6*g3^6*t^8.609 + (g1^6*g3^13*t^8.609)/g2 - t^8.744/(g2^7*g3^7) + (g1^13*g2^6*t^8.769)/g3 + (g1^13*g3^6*t^8.769)/g2 + (g2^24*t^8.772)/(g1^4*g3^4) + (g2^17*g3^3*t^8.772)/g1^4 + (g2^10*g3^10*t^8.772)/g1^4 + (g2^3*g3^17*t^8.772)/g1^4 + (g3^24*t^8.772)/(g1^4*g2^4) + (g1^20*t^8.929)/(g2*g3) + (g1^3*g2^17*t^8.932)/g3^4 + (g1^3*g3^17*t^8.932)/g2^4 - t^4.13/(g1^2*g2^2*g3^2*y) - t^6.715/(g1^9*g2^2*g3^9*y) - t^6.715/(g1^9*g2^9*g3^2*y) + (g1^5*g2^5*t^7.546)/(g3^2*y) + (g1^5*g3^5*t^7.546)/(g2^2*y) + t^8.168/(g1^14*g2^7*g3^7*y) + (g2^7*t^8.84)/(g1^7*y) + (g3^7*t^8.84)/(g1^7*y) - (t^4.13*y)/(g1^2*g2^2*g3^2) - (t^6.715*y)/(g1^9*g2^2*g3^9) - (t^6.715*y)/(g1^9*g2^9*g3^2) + (g1^5*g2^5*t^7.546*y)/g3^2 + (g1^5*g3^5*t^7.546*y)/g2^2 + (t^8.168*y)/(g1^14*g2^7*g3^7) + (g2^7*t^8.84*y)/g1^7 + (g3^7*t^8.84*y)/g1^7 |
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 |
---|---|---|---|---|---|---|---|---|
159 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6845 | 0.8095 | 0.8456 | [M:[0.8373, 1.2823, 0.8373, 0.8373], q:[0.8206, 0.5813], qb:[0.5813, 0.5813], phi:[0.3588]] | 3*t^2.512 + t^3.847 + 3*t^4.206 + 6*t^4.565 + 6*t^5.024 - 9*t^6. - t^4.077/y - t^4.077*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 |
---|---|---|---|---|---|---|---|---|---|
65 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ | 0.6643 | 0.7825 | 0.849 | [M:[0.8927, 1.2048], q:[0.8012, 0.5537], qb:[0.5537, 0.501], phi:[0.3976]] | t^2.678 + 2*t^3.164 + t^3.614 + t^3.907 + 2*t^4.065 + t^4.199 + 2*t^4.357 + 3*t^4.515 + t^5.356 - 5*t^6. - t^4.193/y - t^4.193*y | detail |