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 |
|---|---|---|---|---|---|---|---|---|---|
| 1323 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_1^2$ + $ M_3M_5$ | 0.6917 | 0.8473 | 0.8164 | [X:[], M:[1.0, 1.0032, 0.9935, 0.987, 1.0065, 1.013], q:[0.513, 0.487], qb:[0.5, 0.5065], phi:[0.4984]] | [X:[], M:[[0], [2], [-4], [-8], [4], [8]], q:[[8], [-8]], qb:[[0], [4]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_3$, $ M_1$, $ M_2$, $ M_5$, $ M_6$, $ q_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1^2$, $ M_2M_4$, $ M_2M_3$ | . | -1 | t^2.96 + t^2.98 + t^3. + t^3.01 + t^3.02 + t^3.04 + t^3.06 + t^4.42 + t^4.46 + t^4.48 + 2*t^4.5 + t^4.51 + 2*t^4.53 + t^4.55 + t^4.57 + t^5.97 + t^5.99 - t^6. + t^6.01 + t^6.02 + t^6.03 + t^6.04 + t^6.05 + t^6.06 + t^6.07 + t^6.08 + t^6.1 + t^6.12 + t^7.38 + t^7.4 + t^7.42 + t^7.44 + 2*t^7.46 + 2*t^7.48 + 2*t^7.5 + 3*t^7.51 + 4*t^7.53 + 4*t^7.55 + 3*t^7.57 + 3*t^7.59 + 2*t^7.61 + t^7.63 + t^8.83 + t^8.87 + t^8.89 - t^8.9 + 2*t^8.91 - t^8.92 + t^8.93 - t^8.94 + 3*t^8.95 - 3*t^8.96 + 2*t^8.97 - 4*t^8.98 + 4*t^8.99 - t^4.5/y + t^8.94/y + t^8.96/y + t^8.97/y + (2*t^8.98)/y + t^8.99/y - t^4.5*y + t^8.94*y + t^8.96*y + t^8.97*y + 2*t^8.98*y + t^8.99*y | t^2.96/g1^8 + t^2.98/g1^4 + t^3. + g1^2*t^3.01 + g1^4*t^3.02 + g1^8*t^3.04 + g1^12*t^3.06 + t^4.42/g1^17 + t^4.46/g1^9 + t^4.48/g1^5 + (2*t^4.5)/g1 + g1^3*t^4.51 + 2*g1^7*t^4.53 + g1^11*t^4.55 + g1^15*t^4.57 + t^5.97/g1^6 + t^5.99/g1^2 - t^6. + g1^2*t^6.01 + g1^4*t^6.02 + g1^6*t^6.03 + g1^8*t^6.04 + g1^10*t^6.05 + g1^12*t^6.06 + g1^14*t^6.07 + g1^16*t^6.08 + g1^20*t^6.1 + g1^24*t^6.12 + t^7.38/g1^25 + t^7.4/g1^21 + t^7.42/g1^17 + t^7.44/g1^13 + (2*t^7.46)/g1^9 + (2*t^7.48)/g1^5 + (2*t^7.5)/g1 + 3*g1^3*t^7.51 + 4*g1^7*t^7.53 + 4*g1^11*t^7.55 + 3*g1^15*t^7.57 + 3*g1^19*t^7.59 + 2*g1^23*t^7.61 + g1^27*t^7.63 + t^8.83/g1^34 + t^8.87/g1^26 + t^8.89/g1^22 - t^8.9/g1^20 + (2*t^8.91)/g1^18 - t^8.92/g1^16 + t^8.93/g1^14 - t^8.94/g1^12 + (3*t^8.95)/g1^10 - (3*t^8.96)/g1^8 + (2*t^8.97)/g1^6 - (4*t^8.98)/g1^4 + (4*t^8.99)/g1^2 - t^4.5/(g1*y) + t^8.94/(g1^12*y) + t^8.96/(g1^8*y) + t^8.97/(g1^6*y) + (2*t^8.98)/(g1^4*y) + t^8.99/(g1^2*y) - (t^4.5*y)/g1 + (t^8.94*y)/g1^12 + (t^8.96*y)/g1^8 + (t^8.97*y)/g1^6 + (2*t^8.98*y)/g1^4 + (t^8.99*y)/g1^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 2378 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_1^2$ + $ M_3M_5$ + $ M_3M_7$ | 0.6914 | 0.8476 | 0.8157 | [X:[], M:[1.0, 1.0002, 0.9996, 0.9992, 1.0004, 1.0008, 1.0004], q:[0.5008, 0.4992], qb:[0.5, 0.5004], phi:[0.4999]] | 7*t^3. + 10*t^4.5 + 9*t^6. - t^4.5/y - t^4.5*y | detail | |
| 2377 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_1^2$ + $ M_3M_5$ + $ M_4M_7$ | 0.6917 | 0.8492 | 0.8144 | [X:[], M:[1.0, 0.9971, 1.0057, 1.0114, 0.9943, 0.9886, 0.9886], q:[0.4886, 0.5114], qb:[0.5, 0.4943], phi:[0.5014]] | t^2.95 + 2*t^2.97 + t^2.98 + t^2.99 + t^3. + t^3.02 + t^4.44 + t^4.45 + 2*t^4.47 + t^4.49 + 2*t^4.5 + t^4.52 + t^4.54 + t^4.57 + t^5.9 + 2*t^5.91 + 3*t^5.93 + t^5.94 + 2*t^5.95 + 2*t^5.96 + 3*t^5.97 + t^5.98 + t^5.99 - 2*t^6. - t^4.5/y - t^4.5*y | detail | |
| 2373 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_1^2$ + $ M_3M_5$ + $ M_5M_7$ | 0.6926 | 0.8483 | 0.8165 | [X:[], M:[1.0, 1.0063, 0.9874, 0.9748, 1.0126, 1.0252, 0.9874], q:[0.5252, 0.4748], qb:[0.5, 0.5126], phi:[0.4968]] | t^2.92 + 2*t^2.96 + t^3. + t^3.02 + t^3.08 + t^3.11 + t^4.34 + t^4.41 + t^4.45 + 2*t^4.49 + t^4.53 + 2*t^4.57 + t^4.6 + t^4.64 + t^5.89 + 2*t^5.92 + t^5.94 + 2*t^5.98 - 2*t^6. - t^4.49/y - t^4.49*y | detail | |
| 2374 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_1^2$ + $ M_3M_5$ + $ M_6M_7$ | 0.6941 | 0.8506 | 0.816 | [X:[], M:[1.0, 1.0093, 0.9814, 0.9628, 1.0186, 1.0372, 0.9628], q:[0.5372, 0.4628], qb:[0.5, 0.5186], phi:[0.4954]] | 2*t^2.89 + t^2.94 + t^3. + t^3.03 + t^3.06 + t^3.17 + t^4.26 + t^4.37 + t^4.43 + 2*t^4.49 + t^4.54 + 2*t^4.6 + t^4.65 + t^4.71 + 2*t^5.78 + t^5.83 + t^5.89 + 2*t^5.92 + t^5.94 + t^5.97 - 2*t^6. - t^4.49/y - t^4.49*y | detail | |
| 2376 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_1^2$ + $ M_3M_5$ + $ \phi_1q_1^2$ | 0.5697 | 0.7113 | 0.8008 | [X:[], M:[1.0, 1.0667, 0.8667, 0.7333, 1.1333, 1.2667], q:[0.7667, 0.2333], qb:[0.5, 0.6333], phi:[0.4667]] | t^2.2 + t^2.6 + t^2.8 + t^3. + t^3.2 + t^3.4 + t^3.6 + t^3.8 + t^4. + t^4.2 + 2*t^4.4 + t^4.8 + t^5. + 2*t^5.2 + 2*t^5.4 + 2*t^5.6 + 2*t^5.8 - t^4.4/y - t^4.4*y | detail | {a: 1709/3000, c: 1067/1500, M1: 1, M2: 16/15, M3: 13/15, M4: 11/15, M5: 17/15, M6: 19/15, q1: 23/30, q2: 7/30, qb1: 1/2, qb2: 19/30, phi1: 7/15} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 834 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_1^2$ | 0.7146 | 0.8745 | 0.8171 | [X:[], M:[1.0, 1.0767, 0.8466, 1.0202, 0.8264, 0.9798], q:[0.4798, 0.5202], qb:[0.5, 0.6534], phi:[0.4617]] | t^2.48 + t^2.54 + t^2.94 + t^3. + t^3.06 + t^3.23 + t^3.4 + t^4.26 + t^4.32 + 2*t^4.38 + t^4.45 + t^4.51 + t^4.78 + t^4.85 + t^4.91 + t^4.96 + t^5.02 + t^5.08 + t^5.31 + t^5.42 + t^5.48 + t^5.54 + t^5.71 + t^5.77 + t^5.88 - 2*t^6. - t^4.38/y - t^4.38*y | detail |