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 |
---|---|---|---|---|---|---|---|---|---|
46674 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }M_{1}^{2}$ | 0.7027 | 0.862 | 0.8151 | [M:[1.0, 0.8673, 0.9336, 1.0664], q:[0.5498, 0.4502], qb:[0.583, 0.4834], phi:[0.4834]] | [M:[[0], [8], [4], [-4]], q:[[-3], [3]], qb:[[-5], [1]], phi:[[1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{4}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$ | ${}\phi_{1}^{2}q_{1}\tilde{q}_{2}$ | 0 | t^2.602 + t^2.801 + t^2.9 + t^3. + 2*t^3.1 + t^3.199 + t^4.152 + t^4.251 + t^4.351 + t^4.45 + 2*t^4.55 + t^4.649 + t^4.749 + t^4.848 + t^4.948 + t^5.204 + t^5.403 + t^5.502 + t^5.602 + t^5.701 + 2*t^5.801 + t^5.9 + t^6.1 + 2*t^6.199 + t^6.753 + t^6.853 + 2*t^6.952 + 2*t^7.052 + 3*t^7.152 + 3*t^7.251 + 3*t^7.351 + 3*t^7.45 + 3*t^7.55 + 2*t^7.649 + 2*t^7.749 + t^7.805 + 2*t^7.848 + t^7.948 + t^8.005 + t^8.048 + t^8.104 + t^8.147 + t^8.204 + 2*t^8.303 + 3*t^8.403 + t^8.502 + t^8.602 + 3*t^8.701 - t^8.801 - t^4.45/y - t^7.052/y - t^7.351/y + t^7.55/y + t^7.848/y + t^8.403/y + t^8.502/y + t^8.602/y + (3*t^8.701)/y + (2*t^8.801)/y + (3*t^8.9)/y - t^4.45*y - t^7.052*y - t^7.351*y + t^7.55*y + t^7.848*y + t^8.403*y + t^8.502*y + t^8.602*y + 3*t^8.701*y + 2*t^8.801*y + 3*t^8.9*y | g1^8*t^2.602 + g1^4*t^2.801 + g1^2*t^2.9 + t^3. + (2*t^3.1)/g1^2 + t^3.199/g1^4 + g1^7*t^4.152 + g1^5*t^4.251 + g1^3*t^4.351 + g1*t^4.45 + (2*t^4.55)/g1 + t^4.649/g1^3 + t^4.749/g1^5 + t^4.848/g1^7 + t^4.948/g1^9 + g1^16*t^5.204 + g1^12*t^5.403 + g1^10*t^5.502 + g1^8*t^5.602 + g1^6*t^5.701 + 2*g1^4*t^5.801 + g1^2*t^5.9 + t^6.1/g1^2 + (2*t^6.199)/g1^4 + g1^15*t^6.753 + g1^13*t^6.853 + 2*g1^11*t^6.952 + 2*g1^9*t^7.052 + 3*g1^7*t^7.152 + 3*g1^5*t^7.251 + 3*g1^3*t^7.351 + 3*g1*t^7.45 + (3*t^7.55)/g1 + (2*t^7.649)/g1^3 + (2*t^7.749)/g1^5 + g1^24*t^7.805 + (2*t^7.848)/g1^7 + t^7.948/g1^9 + g1^20*t^8.005 + t^8.048/g1^11 + g1^18*t^8.104 + t^8.147/g1^13 + g1^16*t^8.204 + 2*g1^14*t^8.303 + 3*g1^12*t^8.403 + g1^10*t^8.502 + g1^8*t^8.602 + 3*g1^6*t^8.701 - g1^4*t^8.801 - (g1*t^4.45)/y - (g1^9*t^7.052)/y - (g1^3*t^7.351)/y + t^7.55/(g1*y) + t^7.848/(g1^7*y) + (g1^12*t^8.403)/y + (g1^10*t^8.502)/y + (g1^8*t^8.602)/y + (3*g1^6*t^8.701)/y + (2*g1^4*t^8.801)/y + (3*g1^2*t^8.9)/y - g1*t^4.45*y - g1^9*t^7.052*y - g1^3*t^7.351*y + (t^7.55*y)/g1 + (t^7.848*y)/g1^7 + g1^12*t^8.403*y + g1^10*t^8.502*y + g1^8*t^8.602*y + 3*g1^6*t^8.701*y + 2*g1^4*t^8.801*y + 3*g1^2*t^8.9*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 |
---|---|---|---|---|---|---|---|---|
46980 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }M_{1}^{2}$ + ${ }M_{4}M_{5}$ | 0.7095 | 0.8749 | 0.811 | [M:[1.0, 0.8342, 0.9171, 1.0829, 0.9171], q:[0.5622, 0.4378], qb:[0.6036, 0.4793], phi:[0.4793]] | t^2.503 + 2*t^2.751 + t^2.876 + t^3. + 2*t^3.124 + t^4.065 + t^4.189 + t^4.314 + t^4.438 + 2*t^4.562 + t^4.686 + t^4.811 + t^4.935 + t^5.005 + t^5.059 + 2*t^5.254 + t^5.378 + 3*t^5.503 + 2*t^5.627 + 2*t^5.751 + 3*t^5.876 - t^6. - t^4.438/y - t^4.438*y | detail | |
47101 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }M_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}X_{1}$ | 0.6173 | 0.7562 | 0.8163 | [X:[1.4444], M:[1.0, 0.5556, 0.7778, 1.2222], q:[0.6667, 0.3333], qb:[0.7778, 0.4444], phi:[0.4444]] | t^2.333 + t^2.667 + t^3. + 3*t^3.333 + 2*t^3.667 + t^4. + 2*t^4.333 + 2*t^4.667 + 2*t^5.333 + 3*t^5.667 + 2*t^6. - t^4.333/y - t^4.333*y | detail | {a: 50/81, c: 245/324, X1: 13/9, M1: 1, M2: 5/9, M3: 7/9, M4: 11/9, q1: 2/3, q2: 1/3, qb1: 7/9, qb2: 4/9, phi1: 4/9} |
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 |
---|---|---|---|---|---|---|---|---|---|
46233 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ | 0.7271 | 0.893 | 0.8142 | [M:[0.7947, 0.7947, 1.0, 1.0], q:[0.654, 0.5513], qb:[0.5513, 0.4487], phi:[0.4487]] | 2*t^2.384 + t^2.692 + 2*t^3. + 2*t^3.308 + t^4.038 + 2*t^4.346 + 4*t^4.654 + 3*t^4.768 + 2*t^4.962 + 2*t^5.076 + t^5.27 + 4*t^5.384 + 2*t^5.692 - t^6. - t^4.346/y - t^4.346*y | detail |