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 |
|---|---|---|---|---|---|---|---|---|---|
| 1980 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{1}q_{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ | 0.6641 | 0.8412 | 0.7894 | [M:[0.7825, 1.2, 0.8175, 0.8175, 0.7825, 0.7651], q:[0.8, 0.4175], qb:[0.8, 0.3825], phi:[0.4]] | [M:[[1], [0], [-1], [-1], [1], [2]], q:[[0], [-1]], qb:[[0], [1]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{1}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{4}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{4}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}^{4}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{5}$, ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ | ${}\phi_{1}^{3}q_{2}\tilde{q}_{2}$ | -1 | t^2.295 + 2*t^2.348 + t^2.4 + 2*t^2.452 + t^3.495 + 2*t^3.6 + t^4.59 + 2*t^4.643 + 4*t^4.695 + 4*t^4.748 + 6*t^4.8 + 2*t^4.852 + 3*t^4.905 + t^5.79 + 2*t^5.843 + 2*t^5.895 + 4*t^5.948 - t^6. + 2*t^6.052 - t^6.105 + t^6.885 + 2*t^6.938 + 5*t^6.99 + 8*t^7.043 + 9*t^7.095 + 8*t^7.148 + 7*t^7.2 + 6*t^7.252 + t^7.305 + 4*t^7.357 + t^8.085 + 2*t^8.138 + 5*t^8.19 + 4*t^8.243 + 5*t^8.295 - 4*t^8.348 + 2*t^8.4 - 8*t^8.452 - 2*t^8.557 - t^4.2/y - t^6.495/y - (2*t^6.548)/y - (2*t^6.652)/y + (2*t^7.643)/y + (2*t^7.695)/y + (6*t^7.748)/y + (4*t^7.8)/y + (4*t^7.852)/y + (2*t^7.905)/y + (4*t^8.948)/y - t^4.2*y - t^6.495*y - 2*t^6.548*y - 2*t^6.652*y + 2*t^7.643*y + 2*t^7.695*y + 6*t^7.748*y + 4*t^7.8*y + 4*t^7.852*y + 2*t^7.905*y + 4*t^8.948*y | g1^2*t^2.295 + 2*g1*t^2.348 + t^2.4 + (2*t^2.452)/g1 + g1^2*t^3.495 + 2*t^3.6 + g1^4*t^4.59 + 2*g1^3*t^4.643 + 4*g1^2*t^4.695 + 4*g1*t^4.748 + 6*t^4.8 + (2*t^4.852)/g1 + (3*t^4.905)/g1^2 + g1^4*t^5.79 + 2*g1^3*t^5.843 + 2*g1^2*t^5.895 + 4*g1*t^5.948 - t^6. + (2*t^6.052)/g1 - t^6.105/g1^2 + g1^6*t^6.885 + 2*g1^5*t^6.938 + 5*g1^4*t^6.99 + 8*g1^3*t^7.043 + 9*g1^2*t^7.095 + 8*g1*t^7.148 + 7*t^7.2 + (6*t^7.252)/g1 + t^7.305/g1^2 + (4*t^7.357)/g1^3 + g1^6*t^8.085 + 2*g1^5*t^8.138 + 5*g1^4*t^8.19 + 4*g1^3*t^8.243 + 5*g1^2*t^8.295 - 4*g1*t^8.348 + 2*t^8.4 - (8*t^8.452)/g1 - (2*t^8.557)/g1^3 - t^4.2/y - (g1^2*t^6.495)/y - (2*g1*t^6.548)/y - (2*t^6.652)/(g1*y) + (2*g1^3*t^7.643)/y + (2*g1^2*t^7.695)/y + (6*g1*t^7.748)/y + (4*t^7.8)/y + (4*t^7.852)/(g1*y) + (2*t^7.905)/(g1^2*y) + (4*g1*t^8.948)/y - t^4.2*y - g1^2*t^6.495*y - 2*g1*t^6.548*y - (2*t^6.652*y)/g1 + 2*g1^3*t^7.643*y + 2*g1^2*t^7.695*y + 6*g1*t^7.748*y + 4*t^7.8*y + (4*t^7.852*y)/g1 + (2*t^7.905*y)/g1^2 + 4*g1*t^8.948*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 |
|---|---|---|---|---|---|---|---|---|
| 3033 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{1}q_{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}^{2}$ | 0.6195 | 0.782 | 0.7922 | [M:[0.9, 1.2, 0.7, 0.7, 0.9, 1.0], q:[0.8, 0.3], qb:[0.8, 0.5], phi:[0.4]] | 2*t^2.1 + t^2.4 + 2*t^2.7 + t^3. + 2*t^3.6 + 4*t^4.2 + 2*t^4.5 + 6*t^4.8 + 4*t^5.1 + 3*t^5.4 + 4*t^5.7 - t^4.2/y - t^4.2*y | detail | {a: 1239/2000, c: 391/500, M1: 9/10, M2: 6/5, M3: 7/10, M4: 7/10, M5: 9/10, M6: 1, q1: 4/5, q2: 3/10, qb1: 4/5, qb2: 1/2, phi1: 2/5} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 707 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{1}q_{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.7056 | 0.886 | 0.7965 | [M:[0.9809, 1.1188, 0.9847, 0.7816, 0.7778, 0.6744], q:[0.7797, 0.4425], qb:[0.5766, 0.4387], phi:[0.4406]] | t^2.023 + t^2.333 + t^2.345 + t^2.644 + t^2.943 + t^2.954 + t^3.356 + t^3.954 + t^3.966 + t^4.046 + t^4.069 + t^4.357 + 2*t^4.368 + t^4.379 + 2*t^4.667 + t^4.678 + t^4.689 + t^4.781 + t^4.966 + 2*t^4.977 + t^4.988 + t^5.276 + 3*t^5.287 + t^5.299 + t^5.379 + t^5.69 + t^5.701 + t^5.885 + t^5.897 + t^5.908 + t^5.977 - 2*t^6. - t^4.322/y - t^4.322*y | detail |