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 |
|---|---|---|---|---|---|---|---|---|---|
| 1768 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}X_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ | 0.6052 | 0.7542 | 0.8024 | [X:[1.4629], M:[1.0, 0.5371, 1.0, 0.7685, 0.7685], q:[0.6921, 0.9236], qb:[0.3079, 0.5393], phi:[0.3843]] | [X:[[0, 1]], M:[[8, -5], [0, -1], [-8, 5], [-20, 12], [12, -8]], q:[[-13, 8], [15, -9]], qb:[[5, -3], [1, 0]], phi:[[-2, 1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{5}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ | ${}M_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}\tilde{q}_{2}$ | 1 | 3*t^2.306 + t^2.542 + 2*t^3. + t^3.694 + 2*t^4.389 + 6*t^4.611 + 4*t^4.847 + t^5.083 + 4*t^5.306 + 2*t^5.542 + t^6. + t^6.236 - 2*t^6.458 + 4*t^6.694 + 10*t^6.917 + 2*t^6.93 + 5*t^7.153 + 4*t^7.389 + 6*t^7.611 + t^7.625 + 2*t^7.847 + 2*t^8.083 - 3*t^8.306 - 2*t^8.542 - 4*t^8.764 + 4*t^8.778 - t^4.153/y - (3*t^6.458)/y + (3*t^7.611)/y + (6*t^7.847)/y + (6*t^8.306)/y + (2*t^8.542)/y - (6*t^8.764)/y - t^4.153*y - 3*t^6.458*y + 3*t^7.611*y + 6*t^7.847*y + 6*t^8.306*y + 2*t^8.542*y - 6*t^8.764*y | (g1^12*t^2.306)/g2^8 + (g2^2*t^2.306)/g1^4 + (g2^12*t^2.306)/g1^20 + (g1^6*t^2.542)/g2^3 + (g1^8*t^3.)/g2^5 + (g2^5*t^3.)/g1^8 + (g1^4*t^3.694)/g2^2 + (g1^16*t^4.389)/g2^9 + g2*t^4.389 + (g1^24*t^4.611)/g2^16 + (g1^8*t^4.611)/g2^6 + (2*g2^4*t^4.611)/g1^8 + (g2^14*t^4.611)/g1^24 + (g2^24*t^4.611)/g1^40 + (g1^18*t^4.847)/g2^11 + (2*g1^2*t^4.847)/g2 + (g2^9*t^4.847)/g1^14 + (g1^12*t^5.083)/g2^6 + (g1^20*t^5.306)/g2^13 + (g1^4*t^5.306)/g2^3 + (g2^7*t^5.306)/g1^12 + (g2^17*t^5.306)/g1^28 + (g1^14*t^5.542)/g2^8 + (g2^2*t^5.542)/g1^2 - t^6. + (g1^16*t^6.)/g2^10 + (g2^10*t^6.)/g1^16 + (g1^10*t^6.236)/g2^5 - (g1^2*t^6.458)/g2^2 - (g2^8*t^6.458)/g1^14 + (g1^28*t^6.694)/g2^17 + (g1^12*t^6.694)/g2^7 + (g2^3*t^6.694)/g1^4 + (g2^13*t^6.694)/g1^20 + (g1^36*t^6.917)/g2^24 + (g1^20*t^6.917)/g2^14 + (2*g1^4*t^6.917)/g2^4 + (2*g2^6*t^6.917)/g1^12 + (2*g2^16*t^6.917)/g1^28 + (g2^26*t^6.917)/g1^44 + (g2^36*t^6.917)/g1^60 + (g1^22*t^6.93)/g2^12 + (g1^6*t^6.93)/g2^2 + (g1^30*t^7.153)/g2^19 + (g1^14*t^7.153)/g2^9 + (g2*t^7.153)/g1^2 + (g2^11*t^7.153)/g1^18 + (g2^21*t^7.153)/g1^34 + (g1^24*t^7.389)/g2^14 + (2*g1^8*t^7.389)/g2^4 + (g2^6*t^7.389)/g1^8 + (g1^32*t^7.611)/g2^21 + (g1^16*t^7.611)/g2^11 + t^7.611/g2 + (g2^9*t^7.611)/g1^16 + (g2^19*t^7.611)/g1^32 + (g2^29*t^7.611)/g1^48 + (g1^18*t^7.625)/g2^9 + (g1^26*t^7.847)/g2^16 + (g2^14*t^7.847)/g1^22 + (g1^20*t^8.083)/g2^11 + (g1^4*t^8.083)/g2 + (g1^28*t^8.306)/g2^18 - (2*g1^12*t^8.306)/g2^8 - (g2^2*t^8.306)/g1^4 - (2*g2^12*t^8.306)/g1^20 + (g2^22*t^8.306)/g1^36 - (2*g1^6*t^8.542)/g2^3 - t^8.764/g1^2 - (g1^14*t^8.764)/g2^10 - (g2^10*t^8.764)/g1^18 - (g2^20*t^8.764)/g1^34 + (g1^32*t^8.778)/g2^18 + (2*g1^16*t^8.778)/g2^8 + g2^2*t^8.778 - (g2*t^4.153)/(g1^2*y) - (g1^10*t^6.458)/(g2^7*y) - (g2^3*t^6.458)/(g1^6*y) - (g2^13*t^6.458)/(g1^22*y) + (g1^8*t^7.611)/(g2^6*y) + (g2^4*t^7.611)/(g1^8*y) + (g2^14*t^7.611)/(g1^24*y) + (2*g1^18*t^7.847)/(g2^11*y) + (2*g1^2*t^7.847)/(g2*y) + (2*g2^9*t^7.847)/(g1^14*y) + (g1^20*t^8.306)/(g2^13*y) + (2*g1^4*t^8.306)/(g2^3*y) + (2*g2^7*t^8.306)/(g1^12*y) + (g2^17*t^8.306)/(g1^28*y) + (g1^14*t^8.542)/(g2^8*y) + (g2^2*t^8.542)/(g1^2*y) - (g1^22*t^8.764)/(g2^15*y) - (g1^6*t^8.764)/(g2^5*y) - (2*g2^5*t^8.764)/(g1^10*y) - (g2^15*t^8.764)/(g1^26*y) - (g2^25*t^8.764)/(g1^42*y) - (g2*t^4.153*y)/g1^2 - (g1^10*t^6.458*y)/g2^7 - (g2^3*t^6.458*y)/g1^6 - (g2^13*t^6.458*y)/g1^22 + (g1^8*t^7.611*y)/g2^6 + (g2^4*t^7.611*y)/g1^8 + (g2^14*t^7.611*y)/g1^24 + (2*g1^18*t^7.847*y)/g2^11 + (2*g1^2*t^7.847*y)/g2 + (2*g2^9*t^7.847*y)/g1^14 + (g1^20*t^8.306*y)/g2^13 + (2*g1^4*t^8.306*y)/g2^3 + (2*g2^7*t^8.306*y)/g1^12 + (g2^17*t^8.306*y)/g1^28 + (g1^14*t^8.542*y)/g2^8 + (g2^2*t^8.542*y)/g1^2 - (g1^22*t^8.764*y)/g2^15 - (g1^6*t^8.764*y)/g2^5 - (2*g2^5*t^8.764*y)/g1^10 - (g2^15*t^8.764*y)/g1^26 - (g2^25*t^8.764*y)/g1^42 |
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 |
|---|---|---|---|---|---|---|---|---|
| 2769 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}X_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{2}$ + ${ }\phi_{1}^{2}X_{3}$ | 0.4644 | 0.5384 | 0.8625 | [X:[1.826, 1.6305, 1.4565], M:[1.087, 0.174, 0.913, 0.3695, 0.7175], q:[0.5054, 1.2229], qb:[0.4076, 0.7771], phi:[0.2718]] | t^2.153 + t^2.739 + t^3.261 + t^3.554 + t^4.305 + t^4.369 + t^4.892 + t^5.414 + t^5.478 - t^6. - t^3.815/y - t^5.968/y - t^3.815*y - t^5.968*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 |
|---|---|---|---|---|---|---|---|---|---|
| 305 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}X_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ | 0.5883 | 0.7268 | 0.8095 | [X:[1.4118], M:[1.0196, 0.5882, 0.9804, 0.7451], q:[0.6667, 0.9412], qb:[0.3137, 0.5098], phi:[0.3922]] | t^2.235 + t^2.353 + t^2.471 + t^2.941 + t^3.059 + t^3.529 + t^3.647 + t^4.235 + t^4.353 + t^4.471 + t^4.588 + 2*t^4.706 + 2*t^4.824 + t^4.941 + t^5.176 + t^5.294 + t^5.412 + t^5.529 + t^5.765 + 2*t^5.882 - t^4.176/y - t^4.176*y | detail | {a: 8161/13872, c: 5041/6936, X1: 24/17, M1: 52/51, M2: 10/17, M3: 50/51, M4: 38/51, q1: 2/3, q2: 16/17, qb1: 16/51, qb2: 26/51, phi1: 20/51} |