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 |
|---|---|---|---|---|---|---|---|---|---|
| 56052 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{2}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ + ${ }M_{4}X_{1}$ | 0.5744 | 0.7027 | 0.8173 | [X:[1.3568], M:[1.2324, 1.0, 0.7676, 0.6432, 0.9459, 1.1784, 0.8757], q:[0.3216, 0.4459], qb:[0.6784, 0.9108], phi:[0.4108]] | [X:[[4]], M:[[-3], [0], [3], [-4], [5], [2], [-7]], q:[[-2], [5]], qb:[[2], [-1]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{3}$, ${ }M_{7}$, ${ }M_{5}$, ${ }M_{2}$, ${ }M_{6}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }X_{1}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}M_{5}$, ${ }M_{7}^{2}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{3}M_{6}$ | ${}$ | -1 | t^2.303 + t^2.627 + t^2.838 + t^3. + 2*t^3.535 + t^3.697 + t^3.908 + t^4.07 + t^4.605 + t^4.768 + t^4.93 + t^5.141 + t^5.254 + t^5.303 + t^5.676 + 2*t^5.838 - t^6. + t^6.162 + t^6.211 + t^6.324 + 2*t^6.373 + 2*t^6.535 + t^6.746 - t^6.859 + 2*t^6.908 + t^7.07 + t^7.395 + 2*t^7.443 + t^7.557 + 3*t^7.605 + t^7.816 + t^7.881 - t^7.93 + 2*t^7.978 + 2*t^8.141 - t^8.303 + 2*t^8.513 - 2*t^8.627 + 2*t^8.676 + t^8.789 - t^8.838 + t^8.951 - t^4.232/y - t^6.859/y - t^7.07/y + t^7.395/y + t^7.605/y + t^7.93/y + t^8.141/y + t^8.303/y + t^8.465/y + t^8.627/y + (3*t^8.838)/y - t^4.232*y - t^6.859*y - t^7.07*y + t^7.395*y + t^7.605*y + t^7.93*y + t^8.141*y + t^8.303*y + t^8.465*y + t^8.627*y + 3*t^8.838*y | g1^3*t^2.303 + t^2.627/g1^7 + g1^5*t^2.838 + t^3. + 2*g1^2*t^3.535 + t^3.697/g1^3 + g1^9*t^3.908 + g1^4*t^4.07 + g1^6*t^4.605 + g1*t^4.768 + t^4.93/g1^4 + g1^8*t^5.141 + t^5.254/g1^14 + g1^3*t^5.303 + g1^10*t^5.676 + 2*g1^5*t^5.838 - t^6. + t^6.162/g1^5 + g1^12*t^6.211 + t^6.324/g1^10 + 2*g1^7*t^6.373 + 2*g1^2*t^6.535 + g1^14*t^6.746 - t^6.859/g1^8 + 2*g1^9*t^6.908 + g1^4*t^7.07 + t^7.395/g1^6 + 2*g1^11*t^7.443 + t^7.557/g1^11 + 3*g1^6*t^7.605 + g1^18*t^7.816 + t^7.881/g1^21 - t^7.93/g1^4 + 2*g1^13*t^7.978 + 2*g1^8*t^8.141 - g1^3*t^8.303 + 2*g1^15*t^8.513 - (2*t^8.627)/g1^7 + 2*g1^10*t^8.676 + t^8.789/g1^12 - g1^5*t^8.838 + t^8.951/g1^17 - t^4.232/(g1*y) - t^6.859/(g1^8*y) - (g1^4*t^7.07)/y + t^7.395/(g1^6*y) + (g1^6*t^7.605)/y + t^7.93/(g1^4*y) + (g1^8*t^8.141)/y + (g1^3*t^8.303)/y + t^8.465/(g1^2*y) + t^8.627/(g1^7*y) + (3*g1^5*t^8.838)/y - (t^4.232*y)/g1 - (t^6.859*y)/g1^8 - g1^4*t^7.07*y + (t^7.395*y)/g1^6 + g1^6*t^7.605*y + (t^7.93*y)/g1^4 + g1^8*t^8.141*y + g1^3*t^8.303*y + (t^8.465*y)/g1^2 + (t^8.627*y)/g1^7 + 3*g1^5*t^8.838*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 |
|---|---|---|---|---|---|---|---|---|
| 58159 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{2}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ + ${ }M_{4}X_{1}$ + ${ }M_{1}M_{8}$ | 0.5928 | 0.7366 | 0.8047 | [X:[1.3494], M:[1.238, 1.0, 0.762, 0.6506, 0.9367, 1.1747, 0.8886, 0.762], q:[0.3253, 0.4367], qb:[0.6747, 0.9127], phi:[0.4127]] | 2*t^2.286 + t^2.666 + t^2.81 + t^3. + 2*t^3.524 + t^3.858 + t^4.048 + 3*t^4.572 + t^4.762 + 2*t^4.952 + 2*t^5.096 + 2*t^5.286 + t^5.331 + t^5.62 + 4*t^5.81 - 2*t^6. - t^4.238/y - t^4.238*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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 50939 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{2}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ | 0.5865 | 0.7334 | 0.7996 | [M:[1.2568, 1.0, 0.7432, 0.6757, 0.9054, 1.1622], q:[0.3378, 0.4054], qb:[0.6622, 0.9189], phi:[0.4189]] | t^2.027 + t^2.23 + t^2.716 + t^3. + t^3.203 + 2*t^3.486 + t^3.689 + t^3.77 + t^4.054 + t^4.257 + t^4.459 + 2*t^4.743 + t^4.946 + t^5.027 + 2*t^5.23 + 2*t^5.432 + t^5.514 + 3*t^5.716 + 2*t^5.919 - t^6. - t^4.257/y - t^4.257*y | detail |