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 |
---|---|---|---|---|---|---|---|---|---|
55286 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{7}$ | 0.7228 | 0.9222 | 0.7838 | [M:[0.9709, 0.9709, 1.124, 0.6861, 0.6861, 0.6861, 0.876], q:[0.5911, 0.438], qb:[0.438, 0.781], phi:[0.438]] | [M:[[1, -7], [-1, -11], [0, 4], [0, 6], [2, 10], [-2, 2], [0, -4]], q:[[0, 11], [-1, -4]], qb:[[1, 0], [0, 1]], phi:[[0, -2]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{6}$, ${ }M_{4}$, ${ }M_{5}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{4}^{2}$, ${ }M_{5}M_{6}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{6}M_{7}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{2}M_{4}$, ${ }M_{1}M_{6}$, ${ }M_{1}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{1}M_{5}$, ${ }M_{7}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{7}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}^{2}$ | ${}$ | -5 | 3*t^2.058 + 2*t^2.628 + 2*t^2.913 + 2*t^3.657 + 7*t^4.116 + 2*t^4.401 + 6*t^4.686 + t^4.861 + 6*t^4.971 + 3*t^5.256 + 2*t^5.541 + 6*t^5.715 + 3*t^5.826 - 5*t^6. + 13*t^6.174 + 2*t^6.285 + 4*t^6.459 + 3*t^6.57 + 12*t^6.744 - 2*t^6.855 + 3*t^6.919 + 14*t^7.029 + 9*t^7.314 + t^7.488 + 4*t^7.599 + 12*t^7.773 + 12*t^7.884 - 15*t^8.058 + 2*t^8.169 + 21*t^8.233 + 2*t^8.343 + 3*t^8.453 + 8*t^8.518 - t^8.628 + 4*t^8.738 + 19*t^8.802 - 12*t^8.913 + 7*t^8.977 - t^4.314/y - (3*t^6.372)/y - t^6.942/y + (3*t^7.116)/y - (2*t^7.227)/y + (2*t^7.401)/y + (7*t^7.686)/y + (6*t^7.971)/y + (4*t^8.256)/y - (6*t^8.43)/y + (4*t^8.541)/y + (6*t^8.715)/y + t^8.826/y - t^4.314*y - 3*t^6.372*y - t^6.942*y + 3*t^7.116*y - 2*t^7.227*y + 2*t^7.401*y + 7*t^7.686*y + 6*t^7.971*y + 4*t^8.256*y - 6*t^8.43*y + 4*t^8.541*y + 6*t^8.715*y + t^8.826*y | (g2^2*t^2.058)/g1^2 + g2^6*t^2.058 + g1^2*g2^10*t^2.058 + (2*t^2.628)/g2^4 + t^2.913/(g1*g2^11) + (g1*t^2.913)/g2^7 + t^3.657/(g1*g2^3) + g1*g2*t^3.657 + (g2^4*t^4.116)/g1^4 + (g2^8*t^4.116)/g1^2 + 3*g2^12*t^4.116 + g1^2*g2^16*t^4.116 + g1^4*g2^20*t^4.116 + (g2^5*t^4.401)/g1 + g1*g2^9*t^4.401 + (2*t^4.686)/(g1^2*g2^2) + 2*g2^2*t^4.686 + 2*g1^2*g2^6*t^4.686 + g2^20*t^4.861 + t^4.971/(g1^3*g2^9) + (2*t^4.971)/(g1*g2^5) + (2*g1*t^4.971)/g2 + g1^3*g2^3*t^4.971 + (3*t^5.256)/g2^8 + t^5.541/(g1*g2^15) + (g1*t^5.541)/g2^11 + t^5.715/(g1^3*g2) + (2*g2^3*t^5.715)/g1 + 2*g1*g2^7*t^5.715 + g1^3*g2^11*t^5.715 + t^5.826/(g1^2*g2^22) + t^5.826/g2^18 + (g1^2*t^5.826)/g2^14 - 3*t^6. - t^6./(g1^2*g2^4) - g1^2*g2^4*t^6. + (g2^6*t^6.174)/g1^6 + (g2^10*t^6.174)/g1^4 + (3*g2^14*t^6.174)/g1^2 + 3*g2^18*t^6.174 + 3*g1^2*g2^22*t^6.174 + g1^4*g2^26*t^6.174 + g1^6*g2^30*t^6.174 + t^6.285/(g1*g2^7) + (g1*t^6.285)/g2^3 + (g2^7*t^6.459)/g1^3 + (g2^11*t^6.459)/g1 + g1*g2^15*t^6.459 + g1^3*g2^19*t^6.459 + t^6.57/(g1^2*g2^14) + t^6.57/g2^10 + (g1^2*t^6.57)/g2^6 + (2*t^6.744)/g1^4 + (2*g2^4*t^6.744)/g1^2 + 4*g2^8*t^6.744 + 2*g1^2*g2^12*t^6.744 + 2*g1^4*g2^16*t^6.744 - t^6.855/(g1*g2^17) - (g1*t^6.855)/g2^13 + (g2^22*t^6.919)/g1^2 + g2^26*t^6.919 + g1^2*g2^30*t^6.919 + t^7.029/(g1^5*g2^7) + (2*t^7.029)/(g1^3*g2^3) + (4*g2*t^7.029)/g1 + 4*g1*g2^5*t^7.029 + 2*g1^3*g2^9*t^7.029 + g1^5*g2^13*t^7.029 + (3*t^7.314)/(g1^2*g2^6) + (3*t^7.314)/g2^2 + 3*g1^2*g2^2*t^7.314 + g2^16*t^7.488 + t^7.599/(g1^3*g2^13) + t^7.599/(g1*g2^9) + (g1*t^7.599)/g2^5 + (g1^3*t^7.599)/g2 + (g2*t^7.773)/g1^5 + (2*g2^5*t^7.773)/g1^3 + (3*g2^9*t^7.773)/g1 + 3*g1*g2^13*t^7.773 + 2*g1^3*g2^17*t^7.773 + g1^5*g2^21*t^7.773 + t^7.884/(g1^4*g2^20) + (2*t^7.884)/(g1^2*g2^16) + (6*t^7.884)/g2^12 + (2*g1^2*t^7.884)/g2^8 + (g1^4*t^7.884)/g2^4 - t^8.058/(g1^4*g2^2) - (4*g2^2*t^8.058)/g1^2 - 5*g2^6*t^8.058 - 4*g1^2*g2^10*t^8.058 - g1^4*g2^14*t^8.058 + t^8.169/(g1*g2^19) + (g1*t^8.169)/g2^15 + (g2^8*t^8.233)/g1^8 + (g2^12*t^8.233)/g1^6 + (3*g2^16*t^8.233)/g1^4 + (3*g2^20*t^8.233)/g1^2 + 5*g2^24*t^8.233 + 3*g1^2*g2^28*t^8.233 + 3*g1^4*g2^32*t^8.233 + g1^6*g2^36*t^8.233 + g1^8*g2^40*t^8.233 + t^8.343/(g1^3*g2^5) + g1^3*g2^7*t^8.343 + t^8.453/(g1^2*g2^26) + t^8.453/g2^22 + (g1^2*t^8.453)/g2^18 + (g2^9*t^8.518)/g1^5 + (g2^13*t^8.518)/g1^3 + (2*g2^17*t^8.518)/g1 + 2*g1*g2^21*t^8.518 + g1^3*g2^25*t^8.518 + g1^5*g2^29*t^8.518 + t^8.628/(g1^4*g2^12) - (3*t^8.628)/g2^4 + g1^4*g2^4*t^8.628 + t^8.738/(g1^3*g2^33) + t^8.738/(g1*g2^29) + (g1*t^8.738)/g2^25 + (g1^3*t^8.738)/g2^21 + (2*g2^2*t^8.802)/g1^6 + (2*g2^6*t^8.802)/g1^4 + (4*g2^10*t^8.802)/g1^2 + 3*g2^14*t^8.802 + 4*g1^2*g2^18*t^8.802 + 2*g1^4*g2^22*t^8.802 + 2*g1^6*g2^26*t^8.802 - (2*t^8.913)/(g1^3*g2^15) - (4*t^8.913)/(g1*g2^11) - (4*g1*t^8.913)/g2^7 - (2*g1^3*t^8.913)/g2^3 + (g2^24*t^8.977)/g1^4 + (g2^28*t^8.977)/g1^2 + 3*g2^32*t^8.977 + g1^2*g2^36*t^8.977 + g1^4*g2^40*t^8.977 - t^4.314/(g2^2*y) - t^6.372/(g1^2*y) - (g2^4*t^6.372)/y - (g1^2*g2^8*t^6.372)/y - t^6.942/(g2^6*y) + (g2^8*t^7.116)/(g1^2*y) + (g2^12*t^7.116)/y + (g1^2*g2^16*t^7.116)/y - t^7.227/(g1*g2^13*y) - (g1*t^7.227)/(g2^9*y) + (g2^5*t^7.401)/(g1*y) + (g1*g2^9*t^7.401)/y + (2*t^7.686)/(g1^2*g2^2*y) + (3*g2^2*t^7.686)/y + (2*g1^2*g2^6*t^7.686)/y + t^7.971/(g1^3*g2^9*y) + (2*t^7.971)/(g1*g2^5*y) + (2*g1*t^7.971)/(g2*y) + (g1^3*g2^3*t^7.971)/y + t^8.256/(g1^2*g2^12*y) + (2*t^8.256)/(g2^8*y) + (g1^2*t^8.256)/(g2^4*y) - (g2^2*t^8.43)/(g1^4*y) - (g2^6*t^8.43)/(g1^2*y) - (2*g2^10*t^8.43)/y - (g1^2*g2^14*t^8.43)/y - (g1^4*g2^18*t^8.43)/y + (2*t^8.541)/(g1*g2^15*y) + (2*g1*t^8.541)/(g2^11*y) + t^8.715/(g1^3*g2*y) + (2*g2^3*t^8.715)/(g1*y) + (2*g1*g2^7*t^8.715)/y + (g1^3*g2^11*t^8.715)/y + t^8.826/(g2^18*y) - (t^4.314*y)/g2^2 - (t^6.372*y)/g1^2 - g2^4*t^6.372*y - g1^2*g2^8*t^6.372*y - (t^6.942*y)/g2^6 + (g2^8*t^7.116*y)/g1^2 + g2^12*t^7.116*y + g1^2*g2^16*t^7.116*y - (t^7.227*y)/(g1*g2^13) - (g1*t^7.227*y)/g2^9 + (g2^5*t^7.401*y)/g1 + g1*g2^9*t^7.401*y + (2*t^7.686*y)/(g1^2*g2^2) + 3*g2^2*t^7.686*y + 2*g1^2*g2^6*t^7.686*y + (t^7.971*y)/(g1^3*g2^9) + (2*t^7.971*y)/(g1*g2^5) + (2*g1*t^7.971*y)/g2 + g1^3*g2^3*t^7.971*y + (t^8.256*y)/(g1^2*g2^12) + (2*t^8.256*y)/g2^8 + (g1^2*t^8.256*y)/g2^4 - (g2^2*t^8.43*y)/g1^4 - (g2^6*t^8.43*y)/g1^2 - 2*g2^10*t^8.43*y - g1^2*g2^14*t^8.43*y - g1^4*g2^18*t^8.43*y + (2*t^8.541*y)/(g1*g2^15) + (2*g1*t^8.541*y)/g2^11 + (t^8.715*y)/(g1^3*g2) + (2*g2^3*t^8.715*y)/g1 + 2*g1*g2^7*t^8.715*y + g1^3*g2^11*t^8.715*y + (t^8.826*y)/g2^18 |
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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
46871 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ | 0.7119 | 0.9046 | 0.787 | [M:[0.9822, 0.9822, 1.119, 0.6785, 0.6785, 0.6785], q:[0.5773, 0.4405], qb:[0.4405, 0.7798], phi:[0.4405]] | 3*t^2.036 + t^2.643 + 2*t^2.947 + t^3.357 + 2*t^3.661 + 7*t^4.071 + 2*t^4.375 + 3*t^4.679 + t^4.785 + 6*t^4.982 + t^5.286 + 3*t^5.393 + 6*t^5.696 + 3*t^5.893 - 4*t^6. - t^4.321/y - t^4.321*y | detail |