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 |
|---|---|---|---|---|---|---|---|---|---|
| 3478 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{5}M_{7}$ | 0.5757 | 0.7182 | 0.8016 | [M:[0.8809, 1.1468, 0.8254, 0.7202, 0.9861, 1.2798, 1.0139], q:[0.8393, 0.2798], qb:[0.4405, 0.7341], phi:[0.4266]] | [M:[[12], [2], [-16], [3], [-7], [-3], [7]], q:[[-9], [-3]], qb:[[6], [10]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{5}$, ${ }M_{7}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{6}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}M_{7}$, ${ }M_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{2}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{7}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{5}^{2}$ | ${}$ | -1 | t^2.161 + t^2.476 + t^2.643 + t^2.958 + t^3.042 + 2*t^3.44 + t^3.839 + t^3.923 + t^4.321 + t^4.637 + t^4.72 + t^4.803 + t^4.953 + 2*t^5.119 + t^5.202 + t^5.286 + t^5.435 + 2*t^5.601 + t^5.684 + 2*t^5.917 - t^6. + 3*t^6.083 + t^6.316 + t^6.399 + 2*t^6.482 + t^6.565 + 2*t^6.881 + t^6.964 + t^7.113 + t^7.28 + 2*t^7.363 + t^7.429 + t^7.446 + 2*t^7.595 + 3*t^7.762 + 2*t^7.845 + t^7.911 + t^7.928 + t^8.077 - t^8.161 + 2*t^8.244 + t^8.327 + 2*t^8.393 - 2*t^8.476 + 2*t^8.56 - t^8.643 + 3*t^8.726 + t^8.792 + t^8.875 - 2*t^8.958 - t^4.28/y - t^6.756/y - t^6.923/y + (2*t^7.637)/y + (2*t^7.803)/y + (2*t^8.119)/y + t^8.202/y + t^8.435/y + t^8.518/y + (3*t^8.601)/y + t^8.684/y + (2*t^8.917)/y - t^4.28*y - t^6.756*y - t^6.923*y + 2*t^7.637*y + 2*t^7.803*y + 2*t^8.119*y + t^8.202*y + t^8.435*y + t^8.518*y + 3*t^8.601*y + t^8.684*y + 2*t^8.917*y | g1^3*t^2.161 + t^2.476/g1^16 + g1^12*t^2.643 + t^2.958/g1^7 + g1^7*t^3.042 + 2*g1^2*t^3.44 + t^3.839/g1^3 + g1^11*t^3.923 + g1^6*t^4.321 + t^4.637/g1^13 + g1*t^4.72 + g1^15*t^4.803 + t^4.953/g1^32 + (2*t^5.119)/g1^4 + g1^10*t^5.202 + g1^24*t^5.286 + t^5.435/g1^23 + 2*g1^5*t^5.601 + g1^19*t^5.684 + (2*t^5.917)/g1^14 - t^6. + 3*g1^14*t^6.083 + t^6.316/g1^19 + t^6.399/g1^5 + 2*g1^9*t^6.482 + g1^23*t^6.565 + 2*g1^4*t^6.881 + g1^18*t^6.964 + t^7.113/g1^29 + t^7.28/g1 + 2*g1^13*t^7.363 + t^7.429/g1^48 + g1^27*t^7.446 + (2*t^7.595)/g1^20 + 3*g1^8*t^7.762 + 2*g1^22*t^7.845 + t^7.911/g1^39 + g1^36*t^7.928 + t^8.077/g1^11 - g1^3*t^8.161 + 2*g1^17*t^8.244 + g1^31*t^8.327 + (2*t^8.393)/g1^30 - (2*t^8.476)/g1^16 + (2*t^8.56)/g1^2 - g1^12*t^8.643 + 3*g1^26*t^8.726 + t^8.792/g1^35 + t^8.875/g1^21 - (2*t^8.958)/g1^7 - t^4.28/(g1*y) - t^6.756/(g1^17*y) - (g1^11*t^6.923)/y + (2*t^7.637)/(g1^13*y) + (2*g1^15*t^7.803)/y + (2*t^8.119)/(g1^4*y) + (g1^10*t^8.202)/y + t^8.435/(g1^23*y) + t^8.518/(g1^9*y) + (3*g1^5*t^8.601)/y + (g1^19*t^8.684)/y + (2*t^8.917)/(g1^14*y) - (t^4.28*y)/g1 - (t^6.756*y)/g1^17 - g1^11*t^6.923*y + (2*t^7.637*y)/g1^13 + 2*g1^15*t^7.803*y + (2*t^8.119*y)/g1^4 + g1^10*t^8.202*y + (t^8.435*y)/g1^23 + (t^8.518*y)/g1^9 + 3*g1^5*t^8.601*y + g1^19*t^8.684*y + (2*t^8.917*y)/g1^14 |
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 |
|---|---|---|---|---|---|---|---|---|
| 5168 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{5}M_{7}$ + ${ }M_{3}^{2}$ | 0.5566 | 0.7011 | 0.7939 | [M:[0.75, 1.125, 1.0, 0.6875, 1.0625, 1.3125, 0.9375], q:[0.9375, 0.3125], qb:[0.375, 0.625], phi:[0.4375]] | t^2.063 + t^2.25 + t^2.813 + t^3. + t^3.188 + 2*t^3.375 + t^3.563 + t^3.938 + t^4.125 + t^4.313 + t^4.5 + t^4.688 + t^4.875 + 2*t^5.063 + 2*t^5.25 + 2*t^5.438 + 3*t^5.625 + t^5.813 - t^4.313/y - t^4.313*y | detail | {a: 72957/131072, c: 91901/131072, M1: 3/4, M2: 9/8, M3: 1, M4: 11/16, M5: 17/16, M6: 21/16, M7: 15/16, q1: 15/16, q2: 5/16, qb1: 3/8, qb2: 5/8, phi1: 7/16} |
| 5170 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{5}M_{7}$ + ${ }M_{5}M_{8}$ | 0.5751 | 0.7179 | 0.801 | [M:[0.8569, 1.1428, 0.8575, 0.7142, 1.0002, 1.2858, 0.9998, 0.9998], q:[0.8574, 0.2858], qb:[0.4284, 0.7141], phi:[0.4286]] | t^2.143 + t^2.571 + t^2.573 + 2*t^3. + 2*t^3.428 + t^3.856 + t^3.857 + t^4.285 + t^4.713 + t^4.714 + t^4.715 + t^5.141 + 2*t^5.142 + t^5.143 + t^5.145 + 2*t^5.57 + t^5.571 + t^5.572 + 5*t^5.999 - 2*t^6. - t^4.286/y - t^4.286*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2900 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 0.6596 | 0.8332 | 0.7916 | [M:[0.7847, 1.2363, 0.7427, 0.8544, 0.673, 1.1456, 0.6939], q:[0.7532, 0.4621], qb:[0.3923, 0.8649], phi:[0.3819]] | t^2.019 + t^2.082 + t^2.228 + t^2.354 + t^2.563 + t^3.437 + t^3.5 + 2*t^3.709 + t^4.038 + t^4.101 + t^4.164 + t^4.247 + t^4.31 + t^4.373 + t^4.436 + t^4.456 + 2*t^4.582 + t^4.645 + t^4.708 + t^4.792 + t^4.854 + t^4.917 + t^5.127 + t^5.456 + 2*t^5.518 + t^5.581 + t^5.665 + 2*t^5.728 + 2*t^5.791 + t^5.854 + t^5.937 - 2*t^6. - t^4.146/y - t^4.146*y | detail |