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 |
|---|---|---|---|---|---|---|---|---|---|
| 51892 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{5}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ | 0.6104 | 0.7697 | 0.793 | [M:[1.2253, 0.676, 0.7747, 0.9578, 1.0, 0.8591], q:[0.4789, 0.2958], qb:[0.8451, 0.7464], phi:[0.4084]] | [M:[[6], [18], [-6], [-10], [0], [14]], q:[[-5], [-1]], qb:[[-13], [11]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{6}$, ${ }M_{4}$, ${ }M_{5}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{5}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{6}^{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$ | ${}\phi_{1}^{3}q_{1}q_{2}$ | 0 | t^2.028 + t^2.324 + t^2.451 + t^2.577 + t^2.873 + t^3. + t^3.549 + t^3.676 + t^4.056 + t^4.099 + t^4.352 + t^4.479 + t^4.605 + t^4.648 + 2*t^4.775 + 3*t^4.901 + 2*t^5.028 + t^5.155 + t^5.197 + 2*t^5.324 + t^5.451 + t^5.577 + t^5.704 + t^5.747 + t^5.873 + t^6.084 + 2*t^6.127 + t^6.253 + t^6.38 + t^6.423 + t^6.506 + t^6.549 + t^6.633 + t^6.676 + t^6.803 + 3*t^6.929 + t^6.972 + 2*t^7.056 + t^7.182 + 2*t^7.225 + 5*t^7.352 + 3*t^7.479 + 2*t^7.605 + 2*t^7.648 + 2*t^7.732 + 3*t^7.775 + t^7.901 + t^8.071 + t^8.112 + 2*t^8.155 + 2*t^8.197 + t^8.281 - t^8.324 + t^8.408 + t^8.534 + t^8.62 + t^8.661 + 2*t^8.704 + 2*t^8.831 - 2*t^8.873 + 3*t^8.957 - t^4.225/y - t^6.253/y - t^6.676/y - t^6.803/y - t^7.099/y + (2*t^7.352)/y + t^7.479/y + t^7.605/y + t^7.648/y + (2*t^7.775)/y + (2*t^7.901)/y + (2*t^8.028)/y + (2*t^8.197)/y - t^8.281/y + (2*t^8.324)/y + (2*t^8.451)/y + (2*t^8.577)/y - t^8.831/y + (2*t^8.873)/y - t^4.225*y - t^6.253*y - t^6.676*y - t^6.803*y - t^7.099*y + 2*t^7.352*y + t^7.479*y + t^7.605*y + t^7.648*y + 2*t^7.775*y + 2*t^7.901*y + 2*t^8.028*y + 2*t^8.197*y - t^8.281*y + 2*t^8.324*y + 2*t^8.451*y + 2*t^8.577*y - t^8.831*y + 2*t^8.873*y | g1^18*t^2.028 + t^2.324/g1^6 + g1^4*t^2.451 + g1^14*t^2.577 + t^2.873/g1^10 + t^3. + t^3.549/g1^4 + g1^6*t^3.676 + g1^36*t^4.056 + t^4.099/g1^8 + g1^12*t^4.352 + g1^22*t^4.479 + g1^32*t^4.605 + t^4.648/g1^12 + (2*t^4.775)/g1^2 + 3*g1^8*t^4.901 + 2*g1^18*t^5.028 + g1^28*t^5.155 + t^5.197/g1^16 + (2*t^5.324)/g1^6 + g1^4*t^5.451 + g1^14*t^5.577 + g1^24*t^5.704 + t^5.747/g1^20 + t^5.873/g1^10 + g1^54*t^6.084 + 2*g1^10*t^6.127 + g1^20*t^6.253 + g1^30*t^6.38 + t^6.423/g1^14 + g1^40*t^6.506 + t^6.549/g1^4 + g1^50*t^6.633 + g1^6*t^6.676 + g1^16*t^6.803 + 3*g1^26*t^6.929 + t^6.972/g1^18 + 2*g1^36*t^7.056 + g1^46*t^7.182 + 2*g1^2*t^7.225 + 5*g1^12*t^7.352 + 3*g1^22*t^7.479 + 2*g1^32*t^7.605 + (2*t^7.648)/g1^12 + 2*g1^42*t^7.732 + (3*t^7.775)/g1^2 + g1^8*t^7.901 + t^8.071/g1^26 + g1^72*t^8.112 + 2*g1^28*t^8.155 + (2*t^8.197)/g1^16 + g1^38*t^8.281 - t^8.324/g1^6 + g1^48*t^8.408 + g1^58*t^8.534 + t^8.62/g1^30 + g1^68*t^8.661 + 2*g1^24*t^8.704 + 2*g1^34*t^8.831 - (2*t^8.873)/g1^10 + 3*g1^44*t^8.957 - (g1^2*t^4.225)/y - (g1^20*t^6.253)/y - (g1^6*t^6.676)/y - (g1^16*t^6.803)/y - t^7.099/(g1^8*y) + (2*g1^12*t^7.352)/y + (g1^22*t^7.479)/y + (g1^32*t^7.605)/y + t^7.648/(g1^12*y) + (2*t^7.775)/(g1^2*y) + (2*g1^8*t^7.901)/y + (2*g1^18*t^8.028)/y + (2*t^8.197)/(g1^16*y) - (g1^38*t^8.281)/y + (2*t^8.324)/(g1^6*y) + (2*g1^4*t^8.451)/y + (2*g1^14*t^8.577)/y - (g1^34*t^8.831)/y + (2*t^8.873)/(g1^10*y) - g1^2*t^4.225*y - g1^20*t^6.253*y - g1^6*t^6.676*y - g1^16*t^6.803*y - (t^7.099*y)/g1^8 + 2*g1^12*t^7.352*y + g1^22*t^7.479*y + g1^32*t^7.605*y + (t^7.648*y)/g1^12 + (2*t^7.775*y)/g1^2 + 2*g1^8*t^7.901*y + 2*g1^18*t^8.028*y + (2*t^8.197*y)/g1^16 - g1^38*t^8.281*y + (2*t^8.324*y)/g1^6 + 2*g1^4*t^8.451*y + 2*g1^14*t^8.577*y - g1^34*t^8.831*y + (2*t^8.873*y)/g1^10 |
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 |
|---|---|---|---|---|---|---|---|---|
| 56369 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{5}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{2}$ | 0.6064 | 0.7627 | 0.7951 | [M:[1.25, 0.75, 0.75, 0.9167, 1.0, 0.9167], q:[0.4583, 0.2917], qb:[0.7917, 0.7917], phi:[0.4167]] | 2*t^2.25 + t^2.5 + 2*t^2.75 + t^3. + t^3.5 + t^3.75 + t^4. + 3*t^4.5 + 3*t^4.75 + 5*t^5. + 4*t^5.25 + 3*t^5.5 + 2*t^5.75 + t^6. - t^4.25/y - t^4.25*y | detail | {a: 621/1024, c: 781/1024, M1: 5/4, M2: 3/4, M3: 3/4, M4: 11/12, M5: 1, M6: 11/12, q1: 11/24, q2: 7/24, qb1: 19/24, qb2: 19/24, phi1: 5/12} |
| 56371 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{5}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{7}$ | 0.6284 | 0.8016 | 0.7839 | [M:[1.229, 0.6871, 0.771, 0.9516, 1.0, 0.8678, 0.771], q:[0.4758, 0.2952], qb:[0.8371, 0.7533], phi:[0.4097]] | t^2.061 + 2*t^2.313 + t^2.458 + t^2.603 + t^2.855 + t^3. + t^3.542 + t^4.084 + t^4.123 + 2*t^4.374 + t^4.52 + 3*t^4.626 + t^4.665 + 3*t^4.771 + 4*t^4.916 + 2*t^5.061 + 2*t^5.168 + t^5.207 + 3*t^5.313 + t^5.458 + t^5.603 + t^5.71 + 2*t^5.855 - t^6. - t^4.229/y - t^4.229*y | detail | |
| 56354 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{5}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{6}$ | 0.5645 | 0.7129 | 0.7918 | [M:[1.3125, 0.9375, 0.6875, 0.8125, 1.0, 1.0625], q:[0.4063, 0.2813], qb:[0.6563, 0.9063], phi:[0.4375]] | t^2.063 + t^2.438 + t^2.625 + t^2.813 + t^3. + t^3.188 + t^3.375 + t^3.75 + t^3.938 + t^4.125 + t^4.5 + 2*t^4.688 + 2*t^4.875 + 2*t^5.063 + 3*t^5.25 + 2*t^5.438 + 2*t^5.625 + 3*t^5.813 + t^6. - t^4.313/y - t^4.313*y | detail | {a: 36993/65536, c: 46721/65536, M1: 21/16, M2: 15/16, M3: 11/16, M4: 13/16, M5: 1, M6: 17/16, q1: 13/32, q2: 9/32, qb1: 21/32, qb2: 29/32, phi1: 7/16} |
| 56370 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{5}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}q_{1}q_{2}$ + ${ }M_{2}X_{1}$ | 0.6051 | 0.7555 | 0.8009 | [X:[1.3339], M:[1.222, 0.6661, 0.778, 0.9633, 1.0, 0.8514, 0.8147], q:[0.4816, 0.2963], qb:[0.8522, 0.7404], phi:[0.4073]] | t^2.334 + 2*t^2.444 + t^2.554 + t^2.89 + t^3. + t^3.666 + t^4.002 + t^4.112 + t^4.668 + 3*t^4.778 + 4*t^4.888 + 2*t^4.998 + t^5.109 + t^5.224 + 3*t^5.334 + 2*t^5.444 + t^5.78 - t^6. - t^4.222/y - t^4.222*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 |
|---|---|---|---|---|---|---|---|---|---|
| 48270 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{5}^{2}$ | 0.5993 | 0.7502 | 0.7989 | [M:[1.2404, 0.7213, 0.7596, 0.9326, 1.0], q:[0.4663, 0.2933], qb:[0.8124, 0.7741], phi:[0.4135]] | t^2.164 + t^2.279 + t^2.481 + t^2.798 + t^3. + t^3.317 + t^3.519 + t^3.721 + t^4.038 + t^4.328 + t^4.443 + t^4.557 + t^4.645 + 2*t^4.76 + 2*t^4.962 + t^5.077 + t^5.164 + 2*t^5.279 + t^5.481 + 2*t^5.596 + 2*t^5.798 + t^5.885 - t^4.24/y - t^4.24*y | detail |