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 |
|---|---|---|---|---|---|---|---|---|---|
| 1615 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{4}$ | 0.6542 | 0.8076 | 0.81 | [M:[1.1818, 1.0909, 1.0, 1.0, 0.8182, 0.7273], q:[0.7727, 0.4091], qb:[0.4091, 0.5909], phi:[0.4545]] | [M:[[0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 3483/5324, c: 17199/21296, M1: 13/11, M2: 12/11, M3: 1, M4: 1, M5: 9/11, M6: 8/11, q1: 17/22, q2: 9/22, qb1: 9/22, qb2: 13/22, phi1: 5/11} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{5}$, ${ }M_{3}$, ${ }M_{4}$, ${ }M_{2}$, ${ }M_{1}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}M_{6}$, ${ }M_{5}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{4}M_{6}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{5}$, ${ }M_{2}M_{6}$, ${ }M_{2}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{6}q_{1}q_{2}$ | ${}M_{3}^{2}$, ${ }M_{5}q_{1}q_{2}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ | 2 | t^2.182 + t^2.455 + 2*t^3. + t^3.273 + 2*t^3.545 + 2*t^3.818 + t^4.091 + 3*t^4.364 + t^4.636 + 2*t^4.909 + 2*t^5.182 + t^5.455 + 3*t^5.727 + 2*t^6. + 3*t^6.273 + 5*t^6.545 + 4*t^6.818 + 4*t^7.091 + 6*t^7.364 + 5*t^7.636 + 5*t^7.909 + 4*t^8.182 + 2*t^8.455 + 6*t^8.727 - t^4.364/y - t^6.545/y + t^7.636/y + (3*t^8.182)/y + (3*t^8.455)/y + (2*t^8.727)/y - t^4.364*y - t^6.545*y + t^7.636*y + 3*t^8.182*y + 3*t^8.455*y + 2*t^8.727*y | t^2.182 + t^2.455 + 2*t^3. + t^3.273 + 2*t^3.545 + 2*t^3.818 + t^4.091 + 3*t^4.364 + t^4.636 + 2*t^4.909 + 2*t^5.182 + t^5.455 + 3*t^5.727 + 2*t^6. + 3*t^6.273 + 5*t^6.545 + 4*t^6.818 + 4*t^7.091 + 6*t^7.364 + 5*t^7.636 + 5*t^7.909 + 4*t^8.182 + 2*t^8.455 + 6*t^8.727 - t^4.364/y - t^6.545/y + t^7.636/y + (3*t^8.182)/y + (3*t^8.455)/y + (2*t^8.727)/y - t^4.364*y - t^6.545*y + t^7.636*y + 3*t^8.182*y + 3*t^8.455*y + 2*t^8.727*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 |
|---|---|---|---|---|---|---|---|---|
| 4003 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{4}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 0.6741 | 0.8445 | 0.7982 | [M:[1.1818, 1.0909, 1.0, 1.0, 0.8182, 0.7273, 0.7273], q:[0.7727, 0.4091], qb:[0.4091, 0.5909], phi:[0.4545]] | 2*t^2.182 + t^2.455 + 2*t^3. + t^3.273 + 2*t^3.545 + t^3.818 + t^4.091 + 5*t^4.364 + 2*t^4.636 + 2*t^4.909 + 4*t^5.182 + 2*t^5.455 + 5*t^5.727 + 2*t^6. - t^4.364/y - t^4.364*y | detail | {a: 1305/1936, c: 1635/1936, M1: 13/11, M2: 12/11, M3: 1, M4: 1, M5: 9/11, M6: 8/11, M7: 8/11, q1: 17/22, q2: 9/22, qb1: 9/22, qb2: 13/22, phi1: 5/11} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 1038 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.659 | 0.8115 | 0.8121 | [M:[1.159, 1.1213, 0.9165, 1.0, 0.841, 0.7197], q:[0.7803, 0.4622], qb:[0.3787, 0.6213], phi:[0.4394]] | t^2.159 + t^2.523 + t^2.749 + t^3. + t^3.364 + t^3.477 + t^3.59 + t^3.728 + t^4.092 + t^4.205 + 2*t^4.318 + t^4.569 + t^4.682 + t^4.908 + 2*t^5.046 + t^5.159 + t^5.499 + t^5.523 + t^5.636 + t^5.749 + 2*t^5.887 - t^6. - t^4.318/y - t^4.318*y | detail |