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 |
|---|---|---|---|---|---|---|---|---|---|
| 4036 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}q_{1}q_{2}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ + ${ }M_{7}M_{8}$ + ${ }M_{6}X_{1}$ | 0.6227 | 0.7834 | 0.7948 | [X:[1.3793], M:[1.0898, 1.1448, 0.7587, 0.7172, 0.8552, 0.6207, 0.9517, 1.0483], q:[0.7862, 0.2621], qb:[0.6482, 0.5931], phi:[0.4276]] | [X:[[10]], M:[[34], [-12], [20], [-18], [12], [-10], [4], [-4]], q:[[-3], [-1]], qb:[[-33], [13]], phi:[[6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{3}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{7}$, ${ }M_{8}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }X_{1}$, ${ }M_{4}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{3}M_{4}$, ${ }M_{3}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{7}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}M_{8}$, ${ }M_{1}M_{4}$, ${ }M_{5}M_{7}$, ${ }M_{3}M_{8}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{7}^{2}$, ${ }M_{5}M_{8}$, ${ }M_{8}\phi_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}\phi_{1}^{2}$ | ${}$ | -2 | t^2.152 + t^2.276 + 2*t^2.566 + t^2.855 + t^3.145 + t^3.269 + t^4.014 + t^4.138 + 2*t^4.303 + t^4.428 + t^4.552 + 2*t^4.717 + 2*t^4.842 + t^5.007 + 4*t^5.131 + t^5.172 + t^5.296 + 4*t^5.421 + t^5.545 + 2*t^5.71 + t^5.835 - 2*t^6. + t^6.29 + t^6.414 + 2*t^6.455 + t^6.539 + 2*t^6.579 + 2*t^6.704 + t^6.828 + 3*t^6.869 + t^6.993 + t^7.118 + t^7.158 + 3*t^7.283 + t^7.323 + 5*t^7.407 + t^7.448 + 3*t^7.572 + 7*t^7.697 + t^7.737 + t^7.821 + 5*t^7.986 + t^8.027 + 2*t^8.111 - 3*t^8.152 + t^8.276 + t^8.317 + t^8.401 + t^8.441 - 3*t^8.566 + 2*t^8.606 + 2*t^8.69 + t^8.815 - 2*t^8.855 + 2*t^8.98 - t^4.283/y - t^6.434/y - t^6.559/y - t^6.848/y + t^7.014/y + t^7.428/y - t^7.552/y + (3*t^7.717)/y + (2*t^7.842)/y + (2*t^8.007)/y + (3*t^8.131)/y + t^8.296/y + (4*t^8.421)/y + t^8.545/y - t^8.586/y + t^8.71/y + t^8.835/y - t^4.283*y - t^6.434*y - t^6.559*y - t^6.848*y + t^7.014*y + t^7.428*y - t^7.552*y + 3*t^7.717*y + 2*t^7.842*y + 2*t^8.007*y + 3*t^8.131*y + t^8.296*y + 4*t^8.421*y + t^8.545*y - t^8.586*y + t^8.71*y + t^8.835*y | t^2.152/g1^18 + g1^20*t^2.276 + 2*g1^12*t^2.566 + g1^4*t^2.855 + t^3.145/g1^4 + g1^34*t^3.269 + t^4.014/g1^28 + g1^10*t^4.138 + (2*t^4.303)/g1^36 + g1^2*t^4.428 + g1^40*t^4.552 + (2*t^4.717)/g1^6 + 2*g1^32*t^4.842 + t^5.007/g1^14 + 4*g1^24*t^5.131 + t^5.172/g1^60 + t^5.296/g1^22 + 4*g1^16*t^5.421 + g1^54*t^5.545 + 2*g1^8*t^5.71 + g1^46*t^5.835 - 2*t^6. + t^6.29/g1^8 + g1^30*t^6.414 + (2*t^6.455)/g1^54 + g1^68*t^6.539 + (2*t^6.579)/g1^16 + 2*g1^22*t^6.704 + g1^60*t^6.828 + (3*t^6.869)/g1^24 + g1^14*t^6.993 + g1^52*t^7.118 + t^7.158/g1^32 + 3*g1^6*t^7.283 + t^7.323/g1^78 + 5*g1^44*t^7.407 + t^7.448/g1^40 + (3*t^7.572)/g1^2 + 7*g1^36*t^7.697 + t^7.737/g1^48 + g1^74*t^7.821 + 5*g1^28*t^7.986 + t^8.027/g1^56 + 2*g1^66*t^8.111 - (3*t^8.152)/g1^18 + g1^20*t^8.276 + t^8.317/g1^64 + g1^58*t^8.401 + t^8.441/g1^26 - 3*g1^12*t^8.566 + (2*t^8.606)/g1^72 + 2*g1^50*t^8.69 + g1^88*t^8.815 - 2*g1^4*t^8.855 + 2*g1^42*t^8.98 - (g1^6*t^4.283)/y - t^6.434/(g1^12*y) - (g1^26*t^6.559)/y - (g1^18*t^6.848)/y + t^7.014/(g1^28*y) + (g1^2*t^7.428)/y - (g1^40*t^7.552)/y + (3*t^7.717)/(g1^6*y) + (2*g1^32*t^7.842)/y + (2*t^8.007)/(g1^14*y) + (3*g1^24*t^8.131)/y + t^8.296/(g1^22*y) + (4*g1^16*t^8.421)/y + (g1^54*t^8.545)/y - t^8.586/(g1^30*y) + (g1^8*t^8.71)/y + (g1^46*t^8.835)/y - g1^6*t^4.283*y - (t^6.434*y)/g1^12 - g1^26*t^6.559*y - g1^18*t^6.848*y + (t^7.014*y)/g1^28 + g1^2*t^7.428*y - g1^40*t^7.552*y + (3*t^7.717*y)/g1^6 + 2*g1^32*t^7.842*y + (2*t^8.007*y)/g1^14 + 3*g1^24*t^8.131*y + (t^8.296*y)/g1^22 + 4*g1^16*t^8.421*y + g1^54*t^8.545*y - (t^8.586*y)/g1^30 + g1^8*t^8.71*y + g1^46*t^8.835*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 |
|---|---|---|---|---|---|---|---|---|
| 5592 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}q_{1}q_{2}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ + ${ }M_{7}M_{8}$ + ${ }M_{6}X_{1}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}X_{2}$ | 0.5947 | 0.7335 | 0.8107 | [X:[1.4074, 1.3333], M:[1.1852, 1.1111, 0.8148, 0.6667, 0.8889, 0.5926, 0.963, 1.037], q:[0.7778, 0.2593], qb:[0.5556, 0.6296], phi:[0.4444]] | t^2.444 + 2*t^2.667 + t^2.889 + t^3.111 + t^3.556 + t^3.778 + 2*t^4. + t^4.222 + t^4.667 + t^4.889 + 2*t^5.111 + 4*t^5.333 + 3*t^5.556 + t^5.778 - t^6. - t^4.333/y - t^4.333*y | detail | {a: 289/486, c: 713/972, X1: 38/27, X2: 4/3, M1: 32/27, M2: 10/9, M3: 22/27, M4: 2/3, M5: 8/9, M6: 16/27, M7: 26/27, M8: 28/27, q1: 7/9, q2: 7/27, qb1: 5/9, qb2: 17/27, phi1: 4/9} |
| 5594 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}q_{1}q_{2}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ + ${ }M_{7}M_{8}$ + ${ }M_{6}X_{1}$ + ${ }M_{8}M_{9}$ | 0.6272 | 0.7911 | 0.7928 | [X:[1.3773], M:[1.0827, 1.1473, 0.7546, 0.7209, 0.8527, 0.6227, 0.9509, 1.0491, 0.9509], q:[0.7868, 0.2623], qb:[0.655, 0.5905], phi:[0.4264]] | t^2.163 + t^2.264 + 2*t^2.558 + 2*t^2.853 + t^3.248 + t^4.031 + t^4.132 + 2*t^4.325 + t^4.426 + t^4.527 + 2*t^4.721 + 2*t^4.822 + 2*t^5.015 + 5*t^5.116 + t^5.209 + 5*t^5.411 + t^5.512 + 2*t^5.705 + t^5.806 - 3*t^6. - t^4.279/y - t^4.279*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1645 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}q_{1}q_{2}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ | 0.7373 | 0.9448 | 0.7803 | [M:[0.9688, 1.1236, 0.9748, 0.6855, 0.8764, 0.7839, 0.7779, 0.6794], q:[0.7809, 0.4412], qb:[0.59, 0.4351], phi:[0.4382]] | t^2.038 + t^2.056 + t^2.334 + t^2.352 + 2*t^2.629 + t^2.906 + t^2.925 + t^3.925 + t^4.076 + t^4.095 + 2*t^4.113 + t^4.372 + 3*t^4.39 + 2*t^4.408 + 3*t^4.667 + 3*t^4.685 + t^4.704 + t^4.855 + t^4.944 + 4*t^4.963 + 3*t^4.981 + t^5.24 + 5*t^5.258 + t^5.276 + t^5.535 + t^5.554 + t^5.813 + t^5.831 + t^5.849 + t^5.964 - 3*t^6. - t^4.315/y - t^4.315*y | detail |