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 |
|---|---|---|---|---|---|---|---|---|---|
| 695 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{5}$ | 0.677 | 0.8306 | 0.8151 | [M:[1.0126, 1.1111, 0.9874, 0.7652, 0.8889], q:[0.7778, 0.4319], qb:[0.5556, 0.457], phi:[0.4444]] | [M:[[1], [0], [-1], [-1], [0]], q:[[0], [-1]], qb:[[0], [1]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{4}$, ${ }M_{5}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{3}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{4}q_{1}q_{2}$ | ${}$ | -2 | t^2.296 + 2*t^2.667 + t^2.962 + t^3.038 + t^3.629 + t^3.924 + 2*t^4. + t^4.076 + t^4.296 + t^4.371 + t^4.591 + t^4.667 + 2*t^4.962 + t^5.258 + 4*t^5.333 + t^5.629 + t^5.704 + t^5.924 - 2*t^6. + t^6.22 + 2*t^6.296 - t^6.371 + 4*t^6.591 + 3*t^6.667 + 2*t^6.742 + 2*t^6.887 + 3*t^6.962 + 2*t^7.038 + t^7.113 + 2*t^7.258 - t^7.409 + 2*t^7.553 + 4*t^7.629 - t^7.704 + t^7.849 + 3*t^7.924 + 6*t^8. + t^8.076 + t^8.151 + 2*t^8.22 + t^8.371 + t^8.447 + t^8.516 + 2*t^8.591 - 5*t^8.667 + 4*t^8.887 + t^8.962 - t^4.333/y - t^6.629/y - t^7./y + t^7.667/y + (2*t^7.962)/y + t^8.038/y + t^8.258/y + (2*t^8.333)/y + (2*t^8.629)/y + (2*t^8.704)/y - t^4.333*y - t^6.629*y - t^7.*y + t^7.667*y + 2*t^7.962*y + t^8.038*y + t^8.258*y + 2*t^8.333*y + 2*t^8.629*y + 2*t^8.704*y | t^2.296/g1 + 2*t^2.667 + t^2.962/g1 + g1*t^3.038 + t^3.629/g1 + t^3.924/g1^2 + 2*t^4. + g1^2*t^4.076 + t^4.296/g1 + g1*t^4.371 + t^4.591/g1^2 + t^4.667 + (2*t^4.962)/g1 + t^5.258/g1^2 + 4*t^5.333 + t^5.629/g1 + g1*t^5.704 + t^5.924/g1^2 - 2*t^6. + t^6.22/g1^3 + (2*t^6.296)/g1 - g1*t^6.371 + (4*t^6.591)/g1^2 + 3*t^6.667 + 2*g1^2*t^6.742 + (2*t^6.887)/g1^3 + (3*t^6.962)/g1 + 2*g1*t^7.038 + g1^3*t^7.113 + (2*t^7.258)/g1^2 - g1^2*t^7.409 + (2*t^7.553)/g1^3 + (4*t^7.629)/g1 - g1*t^7.704 + t^7.849/g1^4 + (3*t^7.924)/g1^2 + 6*t^8. + g1^2*t^8.076 + g1^4*t^8.151 + (2*t^8.22)/g1^3 + g1*t^8.371 + g1^3*t^8.447 + t^8.516/g1^4 + (2*t^8.591)/g1^2 - 5*t^8.667 + (4*t^8.887)/g1^3 + t^8.962/g1 - t^4.333/y - t^6.629/(g1*y) - t^7./y + t^7.667/y + (2*t^7.962)/(g1*y) + (g1*t^8.038)/y + t^8.258/(g1^2*y) + (2*t^8.333)/y + (2*t^8.629)/(g1*y) + (2*g1*t^8.704)/y - t^4.333*y - (t^6.629*y)/g1 - t^7.*y + t^7.667*y + (2*t^7.962*y)/g1 + g1*t^8.038*y + (t^8.258*y)/g1^2 + 2*t^8.333*y + (2*t^8.629*y)/g1 + 2*g1*t^8.704*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 |
|---|---|---|---|---|---|---|---|---|
| 1121 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{5}$ + ${ }M_{4}^{2}$ | 0.5664 | 0.7052 | 0.8031 | [M:[0.7778, 1.1111, 1.2222, 1.0, 0.8889], q:[0.7778, 0.6667], qb:[0.5556, 0.2222], phi:[0.4444]] | t^2.333 + 3*t^2.667 + t^3. + 2*t^3.667 + 2*t^4. + t^4.333 + t^4.667 + 3*t^5. + 8*t^5.333 + t^5.667 - 2*t^6. - t^4.333/y - t^4.333*y | detail | {a: 367/648, c: 457/648, M1: 7/9, M2: 10/9, M3: 11/9, M4: 1, M5: 8/9, q1: 7/9, q2: 2/3, qb1: 5/9, qb2: 2/9, phi1: 4/9} |
| 1123 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.6977 | 0.8708 | 0.8012 | [M:[1.0082, 1.1111, 0.9918, 0.7695, 0.8889, 0.6831], q:[0.7778, 0.4362], qb:[0.5556, 0.4527], phi:[0.4444]] | t^2.049 + t^2.309 + 2*t^2.667 + t^2.975 + t^3.025 + t^3.642 + 2*t^4. + t^4.049 + t^4.099 + t^4.309 + 2*t^4.358 + t^4.617 + t^4.667 + 2*t^4.716 + 2*t^4.975 + t^5.025 + t^5.074 + t^5.284 + 4*t^5.333 + t^5.642 + 2*t^5.691 + t^5.951 - 2*t^6. - t^4.333/y - t^4.333*y | detail | |
| 1122 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}q_{1}q_{2}$ | 0.6944 | 0.8611 | 0.8065 | [M:[1.0, 1.1111, 1.0, 0.7778, 0.8889, 0.7778], q:[0.7778, 0.4444], qb:[0.5556, 0.4444], phi:[0.4444]] | 2*t^2.333 + 2*t^2.667 + 2*t^3. + 4*t^4. + 2*t^4.333 + 4*t^4.667 + 4*t^5. + 7*t^5.333 + 2*t^5.667 - 2*t^6. - t^4.333/y - t^4.333*y | detail | {a: 25/36, c: 31/36, M1: 1, M2: 10/9, M3: 1, M4: 7/9, M5: 8/9, M6: 7/9, q1: 7/9, q2: 4/9, qb1: 5/9, qb2: 4/9, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 420 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ | 0.667 | 0.8136 | 0.8198 | [M:[1.0126, 1.1111, 0.9874, 0.7652], q:[0.7778, 0.4319], qb:[0.5556, 0.457], phi:[0.4444]] | t^2.296 + t^2.667 + t^2.962 + t^3.038 + t^3.333 + t^3.629 + t^3.924 + 2*t^4. + t^4.076 + t^4.296 + t^4.371 + t^4.591 + t^4.667 + t^4.962 + t^5.258 + 2*t^5.333 + t^5.629 + t^5.924 - t^6. - t^4.333/y - t^4.333*y | detail |