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 |
|---|---|---|---|---|---|---|---|---|---|
| 4485 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ | 0.7264 | 0.9124 | 0.7961 | [M:[0.9296, 1.0235, 1.0704, 0.8827, 0.9296, 1.0235, 0.9296, 0.676], q:[0.5117, 0.5587], qb:[0.4179, 0.5587], phi:[0.4883]] | [M:[[-6], [2], [6], [-10], [-6], [2], [-6], [15]], q:[[1], [5]], qb:[[-7], [5]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{8}$, ${ }M_{4}$, ${ }M_{1}$, ${ }M_{5}$, ${ }M_{7}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}$, ${ }M_{6}$, ${ }M_{8}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{4}M_{8}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{8}$, ${ }M_{5}M_{8}$, ${ }M_{7}M_{8}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{8}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{8}$, ${ }M_{6}M_{8}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{4}M_{7}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{6}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{7}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{2}M_{7}$, ${ }M_{6}M_{7}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ | ${}M_{6}q_{2}\tilde{q}_{1}$ | -4 | t^2.028 + t^2.648 + 3*t^2.789 + t^2.93 + 2*t^3.07 + t^4.056 + t^4.254 + 2*t^4.394 + t^4.535 + 3*t^4.676 + 6*t^4.817 + t^4.958 + 2*t^5.098 + t^5.296 + 3*t^5.437 + 5*t^5.578 + 4*t^5.718 + 5*t^5.859 - 4*t^6. + t^6.084 + t^6.563 + 3*t^6.704 + 6*t^6.845 + t^6.902 + t^6.986 + 2*t^7.042 + 2*t^7.126 + 5*t^7.183 + 6*t^7.324 + 8*t^7.465 + 10*t^7.606 + 6*t^7.746 + 5*t^7.887 + t^7.944 - 6*t^8.028 + 3*t^8.085 + t^8.112 + 5*t^8.226 + 8*t^8.366 + 6*t^8.507 + t^8.591 + 3*t^8.648 + 3*t^8.732 - 9*t^8.789 + 6*t^8.873 - 3*t^8.93 - t^4.465/y - t^6.493/y - t^7.113/y - (2*t^7.254)/y + t^7.394/y - t^7.535/y + (3*t^7.676)/y + (4*t^7.817)/y + t^7.958/y + (2*t^8.098)/y + (4*t^8.437)/y - t^8.521/y + (4*t^8.578)/y + (5*t^8.718)/y + (6*t^8.859)/y - t^4.465*y - t^6.493*y - t^7.113*y - 2*t^7.254*y + t^7.394*y - t^7.535*y + 3*t^7.676*y + 4*t^7.817*y + t^7.958*y + 2*t^8.098*y + 4*t^8.437*y - t^8.521*y + 4*t^8.578*y + 5*t^8.718*y + 6*t^8.859*y | g1^15*t^2.028 + t^2.648/g1^10 + (3*t^2.789)/g1^6 + t^2.93/g1^2 + 2*g1^2*t^3.07 + g1^30*t^4.056 + t^4.254/g1^7 + (2*t^4.394)/g1^3 + g1*t^4.535 + 3*g1^5*t^4.676 + 6*g1^9*t^4.817 + g1^13*t^4.958 + 2*g1^17*t^5.098 + t^5.296/g1^20 + (3*t^5.437)/g1^16 + (5*t^5.578)/g1^12 + (4*t^5.718)/g1^8 + (5*t^5.859)/g1^4 - 4*t^6. + g1^45*t^6.084 + g1^16*t^6.563 + 3*g1^20*t^6.704 + 6*g1^24*t^6.845 + t^6.902/g1^17 + g1^28*t^6.986 + (2*t^7.042)/g1^13 + 2*g1^32*t^7.126 + (5*t^7.183)/g1^9 + (6*t^7.324)/g1^5 + (8*t^7.465)/g1 + 10*g1^3*t^7.606 + 6*g1^7*t^7.746 + 5*g1^11*t^7.887 + t^7.944/g1^30 - 6*g1^15*t^8.028 + (3*t^8.085)/g1^26 + g1^60*t^8.112 + (5*t^8.226)/g1^22 + (8*t^8.366)/g1^18 + (6*t^8.507)/g1^14 + g1^31*t^8.591 + (3*t^8.648)/g1^10 + 3*g1^35*t^8.732 - (9*t^8.789)/g1^6 + 6*g1^39*t^8.873 - (3*t^8.93)/g1^2 - t^4.465/(g1*y) - (g1^14*t^6.493)/y - t^7.113/(g1^11*y) - (2*t^7.254)/(g1^7*y) + t^7.394/(g1^3*y) - (g1*t^7.535)/y + (3*g1^5*t^7.676)/y + (4*g1^9*t^7.817)/y + (g1^13*t^7.958)/y + (2*g1^17*t^8.098)/y + (4*t^8.437)/(g1^16*y) - (g1^29*t^8.521)/y + (4*t^8.578)/(g1^12*y) + (5*t^8.718)/(g1^8*y) + (6*t^8.859)/(g1^4*y) - (t^4.465*y)/g1 - g1^14*t^6.493*y - (t^7.113*y)/g1^11 - (2*t^7.254*y)/g1^7 + (t^7.394*y)/g1^3 - g1*t^7.535*y + 3*g1^5*t^7.676*y + 4*g1^9*t^7.817*y + g1^13*t^7.958*y + 2*g1^17*t^8.098*y + (4*t^8.437*y)/g1^16 - g1^29*t^8.521*y + (4*t^8.578*y)/g1^12 + (5*t^8.718*y)/g1^8 + (6*t^8.859*y)/g1^4 |
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 |
|---|---|---|---|---|---|---|---|---|
| 6009 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{8}$ | 0.6782 | 0.862 | 0.7867 | [M:[0.8235, 1.0588, 1.1765, 0.7059, 0.8235, 1.0588, 0.8235, 0.9412], q:[0.5294, 0.6471], qb:[0.2941, 0.6471], phi:[0.4706]] | t^2.118 + 3*t^2.471 + 2*t^2.824 + 2*t^3.176 + t^3.882 + 3*t^4.235 + 4*t^4.588 + 8*t^4.941 + 10*t^5.294 + 7*t^5.647 - t^6. - t^4.412/y - t^4.412*y | detail | {a: 26655/39304, c: 4235/4913, M1: 14/17, M2: 18/17, M3: 20/17, M4: 12/17, M5: 14/17, M6: 18/17, M7: 14/17, M8: 16/17, q1: 9/17, q2: 11/17, qb1: 5/17, qb2: 11/17, phi1: 8/17} |
| 6008 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{8}q_{2}\tilde{q}_{1}$ + ${ }M_{4}X_{1}$ | 0.5994 | 0.758 | 0.7907 | [X:[1.3846], M:[0.7692, 1.0769, 1.2308, 0.6154, 0.7692, 1.0769, 0.7692, 1.0769], q:[0.5385, 0.6923], qb:[0.2308, 0.6923], phi:[0.4615]] | 3*t^2.308 + t^2.769 + 3*t^3.231 + t^3.692 + 3*t^4.154 + 5*t^4.615 + 4*t^5.077 + 11*t^5.538 - 3*t^6. - t^4.385/y - t^4.385*y | detail | {a: 21069/35152, c: 13323/17576, X1: 18/13, M1: 10/13, M2: 14/13, M3: 16/13, M4: 8/13, M5: 10/13, M6: 14/13, M7: 10/13, M8: 14/13, q1: 7/13, q2: 9/13, qb1: 3/13, qb2: 9/13, phi1: 6/13} |
| 6006 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{8}^{2}$ + ${ }M_{4}X_{1}$ | 0.6345 | 0.797 | 0.7961 | [X:[1.3333], M:[0.8, 1.0667, 1.2, 0.6667, 0.8, 1.0667, 0.8, 1.0], q:[0.5333, 0.6667], qb:[0.2667, 0.6667], phi:[0.4667]] | 3*t^2.4 + t^2.8 + t^3. + 2*t^3.2 + t^3.8 + t^4. + 2*t^4.2 + t^4.6 + 4*t^4.8 + 2*t^5. + 2*t^5.2 + 6*t^5.4 + 5*t^5.6 + t^5.8 - 3*t^6. - t^4.4/y - t^4.4*y | detail | {a: 1269/2000, c: 797/1000, X1: 4/3, M1: 4/5, M2: 16/15, M3: 6/5, M4: 2/3, M5: 4/5, M6: 16/15, M7: 4/5, M8: 1, q1: 8/15, q2: 2/3, qb1: 4/15, qb2: 2/3, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 2435 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ | 0.7056 | 0.8717 | 0.8095 | [M:[0.9273, 1.0242, 1.0727, 0.8789, 0.9273, 1.0242, 0.9273], q:[0.5121, 0.5606], qb:[0.4152, 0.5606], phi:[0.4879]] | t^2.637 + 3*t^2.782 + t^2.927 + 2*t^3.073 + t^3.955 + t^4.246 + 2*t^4.391 + t^4.536 + 2*t^4.682 + 3*t^4.827 + t^5.273 + 3*t^5.419 + 5*t^5.564 + 4*t^5.709 + 5*t^5.855 - 4*t^6. - t^4.464/y - t^4.464*y | detail |