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 |
|---|---|---|---|---|---|---|---|---|---|
| 46306 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ | 0.667 | 0.8136 | 0.8198 | [X:[1.3333], M:[0.6667, 1.1111, 0.7652], q:[0.7778, 0.5556], qb:[0.457, 0.4319], phi:[0.4444]] | [X:[[0]], M:[[0], [0], [1]], q:[[0], [0]], qb:[[-1], [1]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{3}$, ${ }\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$ | ${}$ | -1 | 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^6.22 + 2*t^6.296 + 3*t^6.591 + 2*t^6.667 + t^6.742 + 2*t^6.887 + 3*t^6.962 + t^7.038 + t^7.113 + 2*t^7.258 + t^7.333 + 2*t^7.553 + 3*t^7.629 + t^7.849 + 3*t^7.924 + 3*t^8. + t^8.076 + t^8.151 + 2*t^8.22 + t^8.447 + t^8.516 + 2*t^8.591 - t^8.667 + 3*t^8.887 - t^4.333/y - t^6.629/y + t^7.962/y + t^8.038/y + t^8.258/y + t^8.333/y + (2*t^8.629)/y + t^8.704/y - t^4.333*y - t^6.629*y + t^7.962*y + t^8.038*y + t^8.258*y + t^8.333*y + 2*t^8.629*y + t^8.704*y | g1*t^2.296 + t^2.667 + g1*t^2.962 + t^3.038/g1 + t^3.333 + g1*t^3.629 + g1^2*t^3.924 + 2*t^4. + t^4.076/g1^2 + g1*t^4.296 + t^4.371/g1 + g1^2*t^4.591 + t^4.667 + g1*t^4.962 + g1^2*t^5.258 + 2*t^5.333 + g1*t^5.629 + g1^2*t^5.924 - t^6. + g1^3*t^6.22 + 2*g1*t^6.296 + 3*g1^2*t^6.591 + 2*t^6.667 + t^6.742/g1^2 + 2*g1^3*t^6.887 + 3*g1*t^6.962 + t^7.038/g1 + t^7.113/g1^3 + 2*g1^2*t^7.258 + t^7.333 + 2*g1^3*t^7.553 + 3*g1*t^7.629 + g1^4*t^7.849 + 3*g1^2*t^7.924 + 3*t^8. + t^8.076/g1^2 + t^8.151/g1^4 + 2*g1^3*t^8.22 + t^8.447/g1^3 + g1^4*t^8.516 + 2*g1^2*t^8.591 - t^8.667 + 3*g1^3*t^8.887 - t^4.333/y - (g1*t^6.629)/y + (g1*t^7.962)/y + t^8.038/(g1*y) + (g1^2*t^8.258)/y + t^8.333/y + (2*g1*t^8.629)/y + t^8.704/(g1*y) - t^4.333*y - g1*t^6.629*y + g1*t^7.962*y + (t^8.038*y)/g1 + g1^2*t^8.258*y + t^8.333*y + 2*g1*t^8.629*y + (t^8.704*y)/g1 |
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 |
|---|---|---|---|---|---|---|---|---|
| 46617 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ | 0.677 | 0.8306 | 0.8151 | [X:[1.3333], M:[0.6667, 1.1111, 0.7652, 0.8889], q:[0.7778, 0.5556], qb:[0.457, 0.4319], phi:[0.4444]] | 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^4.333/y - t^4.333*y | detail | |
| 46408 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ | 0.6667 | 0.8125 | 0.8205 | [X:[1.3333], M:[0.6667, 1.1111, 0.7778], q:[0.7778, 0.5556], qb:[0.4444, 0.4444], phi:[0.4444]] | t^2.333 + t^2.667 + 2*t^3. + t^3.333 + t^3.667 + 4*t^4. + 2*t^4.333 + 2*t^4.667 + t^5. + 3*t^5.333 + t^5.667 - t^4.333/y - t^4.333*y | detail | {a: 2/3, c: 13/16, X1: 4/3, M1: 2/3, M2: 10/9, M3: 7/9, q1: 7/9, q2: 5/9, qb1: 4/9, qb2: 4/9, phi1: 4/9} |
| 46798 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{3}^{2}$ | 0.5563 | 0.6883 | 0.8083 | [X:[1.3333], M:[0.6667, 1.1111, 1.0], q:[0.7778, 0.5556], qb:[0.2222, 0.6667], phi:[0.4444]] | t^2.333 + 2*t^2.667 + t^3. + t^3.333 + 2*t^3.667 + 2*t^4. + t^4.333 + t^4.667 + 2*t^5. + 5*t^5.333 + t^5.667 - t^4.333/y - t^4.333*y | detail | {a: 721/1296, c: 223/324, X1: 4/3, M1: 2/3, M2: 10/9, M3: 1, q1: 7/9, q2: 5/9, qb1: 2/9, qb2: 2/3, phi1: 4/9} |
| 46788 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6877 | 0.8539 | 0.8054 | [X:[1.3333], M:[0.6667, 1.1111, 0.7695, 0.6831], q:[0.7778, 0.5556], qb:[0.4527, 0.4362], phi:[0.4444]] | t^2.049 + t^2.309 + t^2.667 + t^2.975 + t^3.025 + t^3.333 + 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 + t^4.716 + t^4.975 + t^5.025 + t^5.074 + t^5.284 + 2*t^5.333 + t^5.383 + t^5.642 + t^5.691 + t^5.951 - t^6. - t^4.333/y - t^4.333*y | detail | |
| 46711 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ | 0.6844 | 0.8441 | 0.8108 | [X:[1.3333], M:[0.6667, 1.1111, 0.7778, 0.7778], q:[0.7778, 0.5556], qb:[0.4444, 0.4444], phi:[0.4444]] | 2*t^2.333 + t^2.667 + 2*t^3. + t^3.333 + 4*t^4. + 2*t^4.333 + 4*t^4.667 + 2*t^5. + 5*t^5.333 + 2*t^5.667 - t^6. - t^4.333/y - t^4.333*y | detail | {a: 887/1296, c: 547/648, X1: 4/3, M1: 2/3, M2: 10/9, M3: 7/9, M4: 7/9, q1: 7/9, q2: 5/9, qb1: 4/9, qb2: 4/9, phi1: 4/9} |
| 46791 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ | 0.6669 | 0.8127 | 0.8206 | [X:[1.3333], M:[0.6667, 1.1111, 0.7879, 0.9899], q:[0.7778, 0.5556], qb:[0.4343, 0.4545], phi:[0.4444]] | t^2.364 + t^2.667 + 2*t^2.97 + t^3.333 + t^3.697 + t^3.939 + 2*t^4. + t^4.061 + t^4.303 + t^4.364 + t^4.667 + t^4.727 + t^5.03 + 3*t^5.333 + t^5.636 + 2*t^5.939 - 2*t^6. - t^4.333/y - t^4.333*y | detail | {a: 3169/4752, c: 1931/2376, X1: 4/3, M1: 2/3, M2: 10/9, M3: 26/33, M4: 98/99, q1: 7/9, q2: 5/9, qb1: 43/99, qb2: 5/11, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 46038 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ | 0.6489 | 0.7809 | 0.831 | [X:[1.3333], M:[0.6667, 1.1111], q:[0.7778, 0.5556], qb:[0.4444, 0.4444], phi:[0.4444]] | t^2.667 + 2*t^3. + t^3.333 + 2*t^3.667 + 4*t^4. + 2*t^4.333 + t^4.667 + t^5.333 - t^6. - t^4.333/y - t^4.333*y | detail | {a: 841/1296, c: 253/324, X1: 4/3, M1: 2/3, M2: 10/9, q1: 7/9, q2: 5/9, qb1: 4/9, qb2: 4/9, phi1: 4/9} |