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 |
|---|---|---|---|---|---|---|---|---|---|
| 56081 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}\phi_{1}^{2}$ | 0.6467 | 0.8084 | 0.8 | [M:[1.1957, 0.7829, 0.8043, 0.8114, 0.8043, 0.8043, 1.2028], q:[0.4057, 0.3986], qb:[0.8114, 0.79], phi:[0.3986]] | [M:[[3], [12], [-3], [-8], [-3], [-3], [-2]], q:[[-4], [1]], qb:[[-8], [7]], phi:[[1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }M_{3}$, ${ }M_{5}$, ${ }M_{6}$, ${ }M_{4}$, ${ }M_{7}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{5}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }M_{2}M_{7}$ | ${}$ | -3 | t^2.349 + 3*t^2.413 + t^2.434 + 2*t^3.609 + 2*t^3.63 + t^4.697 + 3*t^4.762 + t^4.783 + t^4.804 + 6*t^4.826 + 3*t^4.847 + t^4.868 + t^5.957 - 3*t^6. + 4*t^6.021 + 7*t^6.043 + 2*t^6.064 + t^7.046 + 3*t^7.11 + t^7.132 + 3*t^7.174 - t^7.196 + 2*t^7.217 + 12*t^7.238 + 8*t^7.26 + 3*t^7.281 + t^7.303 + t^8.306 - 3*t^8.349 - t^8.391 - 9*t^8.413 + 3*t^8.434 + 12*t^8.456 + 7*t^8.477 + 2*t^8.498 - t^4.196/y - t^6.544/y - (2*t^6.609)/y - t^6.63/y + (4*t^7.762)/y + (3*t^7.783)/y + (3*t^7.826)/y + (4*t^7.847)/y - t^8.893/y + t^8.979/y - t^4.196*y - t^6.544*y - 2*t^6.609*y - t^6.63*y + 4*t^7.762*y + 3*t^7.783*y + 3*t^7.826*y + 4*t^7.847*y - t^8.893*y + t^8.979*y | g1^12*t^2.349 + (3*t^2.413)/g1^3 + t^2.434/g1^8 + (2*t^3.609)/g1^2 + (2*t^3.63)/g1^7 + g1^24*t^4.697 + 3*g1^9*t^4.762 + g1^4*t^4.783 + t^4.804/g1 + (6*t^4.826)/g1^6 + (3*t^4.847)/g1^11 + t^4.868/g1^16 + g1^10*t^5.957 - 3*t^6. + (4*t^6.021)/g1^5 + (7*t^6.043)/g1^10 + (2*t^6.064)/g1^15 + g1^36*t^7.046 + 3*g1^21*t^7.11 + g1^16*t^7.132 + 3*g1^6*t^7.174 - g1*t^7.196 + (2*t^7.217)/g1^4 + (12*t^7.238)/g1^9 + (8*t^7.26)/g1^14 + (3*t^7.281)/g1^19 + t^7.303/g1^24 + g1^22*t^8.306 - 3*g1^12*t^8.349 - g1^2*t^8.391 - (9*t^8.413)/g1^3 + (3*t^8.434)/g1^8 + (12*t^8.456)/g1^13 + (7*t^8.477)/g1^18 + (2*t^8.498)/g1^23 - (g1*t^4.196)/y - (g1^13*t^6.544)/y - (2*t^6.609)/(g1^2*y) - t^6.63/(g1^7*y) + (4*g1^9*t^7.762)/y + (3*g1^4*t^7.783)/y + (3*t^7.826)/(g1^6*y) + (4*t^7.847)/(g1^11*y) - (g1^25*t^8.893)/y + (g1^5*t^8.979)/y - g1*t^4.196*y - g1^13*t^6.544*y - (2*t^6.609*y)/g1^2 - (t^6.63*y)/g1^7 + 4*g1^9*t^7.762*y + 3*g1^4*t^7.783*y + (3*t^7.826*y)/g1^6 + (4*t^7.847*y)/g1^11 - g1^25*t^8.893*y + g1^5*t^8.979*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 |
|---|---|---|---|---|---|---|---|---|
| 58229 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}\phi_{1}^{2}$ + ${ }M_{2}^{2}$ + ${ }M_{4}X_{1}$ | 0.5959 | 0.7469 | 0.7978 | [X:[1.3333], M:[1.25, 1.0, 0.75, 0.6667, 0.75, 0.75, 1.1667], q:[0.3333, 0.4167], qb:[0.6667, 0.9167], phi:[0.4167]] | 3*t^2.25 + t^3. + 2*t^3.25 + 2*t^3.5 + t^4. + 6*t^4.5 + t^4.75 + 3*t^5.25 + 5*t^5.5 + 4*t^5.75 - 2*t^6. - t^4.25/y - t^4.25*y | detail | {a: 3661/6144, c: 4589/6144, X1: 4/3, M1: 5/4, M2: 1, M3: 3/4, M4: 2/3, M5: 3/4, M6: 3/4, M7: 7/6, q1: 1/3, q2: 5/12, qb1: 2/3, qb2: 11/12, phi1: 5/12} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 50898 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{1}M_{6}$ | 0.6634 | 0.8375 | 0.7921 | [M:[1.1939, 0.7755, 0.8061, 0.8163, 0.8061, 0.8061], q:[0.4082, 0.398], qb:[0.8163, 0.7857], phi:[0.398]] | t^2.327 + t^2.388 + 3*t^2.418 + t^2.449 + t^3.612 + 2*t^3.643 + t^4.653 + t^4.714 + 3*t^4.745 + 2*t^4.776 + 4*t^4.806 + 7*t^4.837 + 3*t^4.867 + t^4.898 - 2*t^6. - t^4.194/y - t^4.194*y | detail |