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 |
---|---|---|---|---|---|---|---|---|---|
46155 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{1}M_{3}$ | 0.5673 | 0.6974 | 0.8134 | [M:[1.0642, 0.9358, 0.9358], q:[0.6055, 0.3303], qb:[0.4587, 0.9908], phi:[0.4037]] | [M:[[4], [-4], [-4]], q:[[-9], [5]], qb:[[13], [15]], phi:[[-6]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{3}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{4}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}^{2}$, ${ }\phi_{1}^{3}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}^{2}$ | ${}M_{3}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$ | 0 | t^2.367 + t^2.422 + 2*t^2.807 + t^3.193 + t^3.578 + 2*t^3.963 + t^4.348 + t^4.734 + 2*t^4.789 + t^4.844 + 2*t^5.174 + t^5.23 + t^5.559 + 2*t^5.615 + t^5.945 + 2*t^6.33 + 2*t^6.385 - t^6.441 + t^6.715 + 3*t^6.77 - 2*t^6.826 + t^7.1 + 4*t^7.156 + t^7.266 + 3*t^7.541 + t^7.652 + 4*t^7.926 + 3*t^8.311 - t^8.367 + 3*t^8.697 + 2*t^8.752 - 3*t^8.807 - t^4.211/y - t^6.633/y - t^7.018/y + t^7.404/y + (2*t^7.789)/y + (2*t^8.174)/y + (2*t^8.23)/y + t^8.559/y + (2*t^8.615)/y + t^8.945/y - t^4.211*y - t^6.633*y - t^7.018*y + t^7.404*y + 2*t^7.789*y + 2*t^8.174*y + 2*t^8.23*y + t^8.559*y + 2*t^8.615*y + t^8.945*y | g1^18*t^2.367 + t^2.422/g1^12 + (2*t^2.807)/g1^4 + g1^4*t^3.193 + g1^12*t^3.578 + 2*g1^20*t^3.963 + g1^28*t^4.348 + g1^36*t^4.734 + 2*g1^6*t^4.789 + t^4.844/g1^24 + 2*g1^14*t^5.174 + t^5.23/g1^16 + g1^22*t^5.559 + (2*t^5.615)/g1^8 + g1^30*t^5.945 + 2*g1^38*t^6.33 + 2*g1^8*t^6.385 - t^6.441/g1^22 + g1^46*t^6.715 + 3*g1^16*t^6.77 - (2*t^6.826)/g1^14 + g1^54*t^7.1 + 4*g1^24*t^7.156 + t^7.266/g1^36 + 3*g1^32*t^7.541 + t^7.652/g1^28 + 4*g1^40*t^7.926 + 3*g1^48*t^8.311 - g1^18*t^8.367 + 3*g1^56*t^8.697 + 2*g1^26*t^8.752 - (3*t^8.807)/g1^4 - t^4.211/(g1^6*y) - t^6.633/(g1^18*y) - t^7.018/(g1^10*y) + t^7.404/(g1^2*y) + (2*g1^6*t^7.789)/y + (2*g1^14*t^8.174)/y + (2*t^8.23)/(g1^16*y) + (g1^22*t^8.559)/y + (2*t^8.615)/(g1^8*y) + (g1^30*t^8.945)/y - (t^4.211*y)/g1^6 - (t^6.633*y)/g1^18 - (t^7.018*y)/g1^10 + (t^7.404*y)/g1^2 + 2*g1^6*t^7.789*y + 2*g1^14*t^8.174*y + (2*t^8.23*y)/g1^16 + g1^22*t^8.559*y + (2*t^8.615*y)/g1^8 + g1^30*t^8.945*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 |
---|---|---|---|---|---|---|---|---|
46736 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ | 0.5733 | 0.7067 | 0.8113 | [M:[1.0667, 0.9333, 0.9333, 0.9333], q:[0.6, 0.3333], qb:[0.4667, 1.0], phi:[0.4]] | 2*t^2.4 + 3*t^2.8 + t^3.6 + 2*t^4. + t^4.4 + 4*t^4.8 + 5*t^5.2 + 4*t^5.6 - t^6. - t^4.2/y - t^4.2*y | detail | {a: 43/75, c: 53/75, M1: 16/15, M2: 14/15, M3: 14/15, M4: 14/15, q1: 3/5, q2: 1/3, qb1: 7/15, qb2: 1, phi1: 2/5} |
46625 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{1}M_{3}$ + ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 0.51 | 0.6003 | 0.8496 | [X:[1.3333], M:[1.1111, 0.8889, 0.8889], q:[0.5, 0.3889], qb:[0.6111, 1.1667], phi:[0.3333]] | 2*t^2.667 + t^3. + t^3.333 + 2*t^4. + t^4.667 + t^5. + 2*t^5.333 + t^5.667 - t^4./y - t^4.*y | detail | {a: 661/1296, c: 389/648, X1: 4/3, M1: 10/9, M2: 8/9, M3: 8/9, q1: 1/2, q2: 7/18, qb1: 11/18, qb2: 7/6, phi1: 1/3} |
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 |
---|---|---|---|---|---|---|---|---|---|
46075 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{2}$ | 0.5614 | 0.6887 | 0.8152 | [M:[1.0618, 0.9382], q:[0.611, 0.3272], qb:[0.4508, 0.9817], phi:[0.4073]] | t^2.334 + t^2.444 + t^2.815 + 2*t^3.185 + t^3.556 + 2*t^3.927 + t^4.297 + t^4.668 + 2*t^4.778 + t^4.888 + t^5.149 + 2*t^5.519 + t^5.629 + t^5.89 - t^4.222/y - t^4.222*y | detail |