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 |
---|---|---|---|---|---|---|---|---|---|
50906 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{3}q_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.6725 | 0.8547 | 0.7868 | [M:[1.1569, 0.6995, 0.8431, 0.8431, 0.6995, 0.7713], q:[0.4215, 0.4215], qb:[0.879, 0.7354], phi:[0.3856]] | [M:[[6], [14], [-6], [-6], [14], [4]], q:[[-3], [-3]], qb:[[-11], [9]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{5}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{4}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{5}$, ${ }M_{6}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{6}$, ${ }M_{4}M_{6}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}q_{1}^{2}$, ${ }M_{5}\phi_{1}q_{1}q_{2}$ | ${}M_{1}M_{4}$, ${ }M_{6}\phi_{1}q_{1}^{2}$, ${ }M_{6}\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}^{3}q_{1}q_{2}$ | 1 | 2*t^2.098 + 2*t^2.314 + 2*t^2.529 + t^3.471 + 2*t^3.686 + 3*t^4.197 + 4*t^4.412 + 7*t^4.628 + 5*t^4.843 + 3*t^5.058 + 2*t^5.569 + 4*t^5.785 + t^6. + 2*t^6.215 + 4*t^6.295 + 6*t^6.511 + 12*t^6.726 + 13*t^6.942 + 10*t^7.157 + 4*t^7.372 + 2*t^7.588 + 3*t^7.668 + 6*t^7.883 + t^8.098 + 5*t^8.394 - 5*t^8.529 + 8*t^8.609 + 17*t^8.825 - t^4.157/y - (2*t^6.255)/y - (2*t^6.471)/y - t^6.686/y + t^7.197/y + (4*t^7.412)/y + (6*t^7.628)/y + (6*t^7.843)/y + (3*t^8.058)/y - (3*t^8.354)/y - (2*t^8.569)/y + t^8.785/y - t^4.157*y - 2*t^6.255*y - 2*t^6.471*y - t^6.686*y + t^7.197*y + 4*t^7.412*y + 6*t^7.628*y + 6*t^7.843*y + 3*t^8.058*y - 3*t^8.354*y - 2*t^8.569*y + t^8.785*y | 2*g1^14*t^2.098 + 2*g1^4*t^2.314 + (2*t^2.529)/g1^6 + g1^6*t^3.471 + (2*t^3.686)/g1^4 + 3*g1^28*t^4.197 + 4*g1^18*t^4.412 + 7*g1^8*t^4.628 + (5*t^4.843)/g1^2 + (3*t^5.058)/g1^12 + 2*g1^20*t^5.569 + 4*g1^10*t^5.785 + t^6. + (2*t^6.215)/g1^10 + 4*g1^42*t^6.295 + 6*g1^32*t^6.511 + 12*g1^22*t^6.726 + 13*g1^12*t^6.942 + 10*g1^2*t^7.157 + (4*t^7.372)/g1^8 + (2*t^7.588)/g1^18 + 3*g1^34*t^7.668 + 6*g1^24*t^7.883 + g1^14*t^8.098 + 5*g1^56*t^8.394 - (5*t^8.529)/g1^6 + 8*g1^46*t^8.609 + 17*g1^36*t^8.825 - (g1^2*t^4.157)/y - (2*g1^16*t^6.255)/y - (2*g1^6*t^6.471)/y - t^6.686/(g1^4*y) + (g1^28*t^7.197)/y + (4*g1^18*t^7.412)/y + (6*g1^8*t^7.628)/y + (6*t^7.843)/(g1^2*y) + (3*t^8.058)/(g1^12*y) - (3*g1^30*t^8.354)/y - (2*g1^20*t^8.569)/y + (g1^10*t^8.785)/y - g1^2*t^4.157*y - 2*g1^16*t^6.255*y - 2*g1^6*t^6.471*y - (t^6.686*y)/g1^4 + g1^28*t^7.197*y + 4*g1^18*t^7.412*y + 6*g1^8*t^7.628*y + (6*t^7.843*y)/g1^2 + (3*t^8.058*y)/g1^12 - 3*g1^30*t^8.354*y - 2*g1^20*t^8.569*y + g1^10*t^8.785*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 |
---|---|---|---|---|---|---|---|---|
56286 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{3}q_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{7}$ | 0.6863 | 0.8776 | 0.782 | [M:[1.1637, 0.7152, 0.8363, 0.8363, 0.7152, 0.7758, 0.8363], q:[0.4182, 0.4182], qb:[0.8666, 0.7455], phi:[0.3879]] | 2*t^2.146 + 2*t^2.327 + 3*t^2.509 + 2*t^3.673 + 3*t^4.291 + 4*t^4.473 + 9*t^4.655 + 7*t^4.836 + 6*t^5.018 + 2*t^5.818 - t^6. - t^4.164/y - t^4.164*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 |
---|---|---|---|---|---|---|---|---|---|
47029 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{3}q_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ | 0.6544 | 0.8219 | 0.7962 | [M:[1.1601, 0.7069, 0.8399, 0.8399, 0.7069], q:[0.42, 0.42], qb:[0.8732, 0.7401], phi:[0.3867]] | 2*t^2.121 + t^2.32 + 2*t^2.52 + t^3.48 + 3*t^3.68 + 3*t^4.241 + 2*t^4.441 + 5*t^4.64 + 3*t^4.84 + 3*t^5.039 + 2*t^5.601 + 5*t^5.8 - t^4.16/y - t^4.16*y | detail |