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 |
---|---|---|---|---|---|---|---|---|---|
46436 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ | 0.6987 | 0.854 | 0.8181 | [M:[0.9697, 1.0303, 1.0303, 0.9091], q:[0.4545, 0.5758], qb:[0.5152, 0.5152], phi:[0.4848]] | [M:[[-2], [2], [2], [-6]], q:[[-3], [5]], qb:[[1], [1]], phi:[[-1]]] | 1 | {a: 2029/2904, c: 310/363, M1: 32/33, M2: 34/33, M3: 34/33, M4: 10/11, q1: 5/11, q2: 19/33, qb1: 17/33, qb2: 17/33, phi1: 16/33} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{3}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ | ${}M_{1}M_{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | 1 | t^2.727 + 2*t^2.909 + 3*t^3.091 + t^3.273 + t^4.182 + 2*t^4.364 + 4*t^4.545 + 2*t^4.727 + t^4.909 + t^5.455 + t^5.636 + 2*t^5.818 + t^6. + 3*t^6.182 + 2*t^6.364 + t^6.545 + t^6.909 + 3*t^7.091 + 5*t^7.273 + 6*t^7.455 + 6*t^7.636 + 5*t^7.818 + 3*t^8. + 2*t^8.182 + 2*t^8.364 + 3*t^8.545 + t^8.727 - t^8.909 - t^4.455/y - t^7.182/y + t^7.727/y + (2*t^8.636)/y + (4*t^8.818)/y - t^4.455*y - t^7.182*y + t^7.727*y + 2*t^8.636*y + 4*t^8.818*y | t^2.727/g1^6 + (2*t^2.909)/g1^2 + 3*g1^2*t^3.091 + g1^6*t^3.273 + t^4.182/g1^7 + (2*t^4.364)/g1^3 + 4*g1*t^4.545 + 2*g1^5*t^4.727 + g1^9*t^4.909 + t^5.455/g1^12 + t^5.636/g1^8 + (2*t^5.818)/g1^4 + t^6. + 3*g1^4*t^6.182 + 2*g1^8*t^6.364 + g1^12*t^6.545 + t^6.909/g1^13 + (3*t^7.091)/g1^9 + (5*t^7.273)/g1^5 + (6*t^7.455)/g1 + 6*g1^3*t^7.636 + 5*g1^7*t^7.818 + 3*g1^11*t^8. + t^8.182/g1^18 + g1^15*t^8.182 + (2*t^8.364)/g1^14 + (3*t^8.545)/g1^10 + t^8.727/g1^6 - t^8.909/g1^2 - t^4.455/(g1*y) - t^7.182/(g1^7*y) + (g1^5*t^7.727)/y + (2*t^8.636)/(g1^8*y) + (4*t^8.818)/(g1^4*y) - (t^4.455*y)/g1 - (t^7.182*y)/g1^7 + g1^5*t^7.727*y + (2*t^8.636*y)/g1^8 + (4*t^8.818*y)/g1^4 |
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 |
---|---|---|---|---|---|---|---|---|
47243 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ | 0.6961 | 0.8501 | 0.8189 | [M:[0.9756, 1.0244, 1.0244, 0.9267, 1.0244], q:[0.4634, 0.5611], qb:[0.5122, 0.5122], phi:[0.4878]] | t^2.78 + t^2.927 + 4*t^3.073 + t^3.22 + t^4.243 + 2*t^4.39 + 4*t^4.537 + 2*t^4.683 + t^4.83 + t^5.56 + t^5.853 - t^6. - t^4.463/y - t^4.463*y | detail | |
47278 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ | 0.7089 | 0.8722 | 0.8128 | [M:[0.9549, 1.0451, 1.0451, 0.8648, 0.8648], q:[0.4324, 0.6127], qb:[0.5225, 0.5225], phi:[0.4775]] | 2*t^2.594 + 2*t^2.865 + 3*t^3.135 + t^4.027 + 2*t^4.297 + 4*t^4.568 + 2*t^4.838 + t^5.108 + 3*t^5.189 + 3*t^5.459 + 5*t^5.73 - t^4.432/y - t^4.432*y | detail | |
46890 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{4}X_{1}$ | 0.6258 | 0.7577 | 0.8259 | [X:[1.3333], M:[0.8889, 1.1111, 1.1111, 0.6667], q:[0.3333, 0.7778], qb:[0.5556, 0.5556], phi:[0.4444]] | 2*t^2.667 + 4*t^3.333 + 4*t^4. + 3*t^4.667 + t^5.333 + 2*t^6. - t^4.333/y - t^4.333*y | detail | {a: 811/1296, c: 491/648, X1: 4/3, M1: 8/9, M2: 10/9, M3: 10/9, M4: 2/3, q1: 1/3, q2: 7/9, qb1: 5/9, qb2: 5/9, 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 |
---|
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 |
---|
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 |
---|---|---|---|---|---|---|---|---|---|
46198 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ | 0.7004 | 0.8555 | 0.8187 | [M:[1.0, 1.0368, 1.0, 0.8895], q:[0.4448, 0.5552], qb:[0.5184, 0.5552], phi:[0.4816]] | t^2.669 + t^2.89 + 2*t^3. + t^3.11 + 2*t^3.221 + t^4.113 + t^4.334 + 2*t^4.445 + t^4.555 + 2*t^4.666 + 3*t^4.776 + t^5.337 + t^5.558 + t^5.779 + 2*t^5.89 - 2*t^6. - t^4.445/y - t^4.445*y | detail |