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 |
---|---|---|---|---|---|---|---|---|---|
1399 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.7378 | 0.9171 | 0.8045 | [M:[1.0, 0.7895, 1.0, 0.7895, 1.0, 0.7895], q:[0.5, 0.5], qb:[0.5, 0.7105], phi:[0.4474]] | [M:[[0], [-4], [0], [-4], [0], [-4]], q:[[0], [0]], qb:[[0], [4]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{4}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{5}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{3}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{4}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{3}M_{6}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$ | ${}M_{1}M_{3}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{5}$ | -4 | 3*t^2.368 + t^2.684 + 3*t^3. + 6*t^4.342 + 6*t^4.737 + 3*t^4.974 + 3*t^5.053 + 7*t^5.368 + t^5.605 + 3*t^5.684 - 4*t^6. - 4*t^6.632 + 15*t^6.71 + 6*t^7.026 + 10*t^7.105 + 15*t^7.342 + 6*t^7.421 - 3*t^7.658 + 13*t^7.737 + 7*t^8.053 - 2*t^8.29 - 14*t^8.368 + 11*t^8.684 - t^8.921 - t^4.342/y - (3*t^6.71)/y - t^7.026/y + t^7.658/y + (3*t^7.737)/y + (3*t^7.974)/y + (3*t^8.053)/y + (9*t^8.368)/y + (3*t^8.684)/y - t^4.342*y - 3*t^6.71*y - t^7.026*y + t^7.658*y + 3*t^7.737*y + 3*t^7.974*y + 3*t^8.053*y + 9*t^8.368*y + 3*t^8.684*y | (3*t^2.368)/g1^4 + t^2.684/g1^2 + 3*t^3. + (6*t^4.342)/g1 + (6*t^4.737)/g1^8 + 3*g1^3*t^4.974 + (3*t^5.053)/g1^6 + (7*t^5.368)/g1^4 + g1^7*t^5.605 + (3*t^5.684)/g1^2 - 4*t^6. - 4*g1^4*t^6.632 + (15*t^6.71)/g1^5 + (6*t^7.026)/g1^3 + (10*t^7.105)/g1^12 + (15*t^7.342)/g1 + (6*t^7.421)/g1^10 - 3*g1*t^7.658 + (13*t^7.737)/g1^8 + (7*t^8.053)/g1^6 - 2*g1^5*t^8.29 - (14*t^8.368)/g1^4 + (11*t^8.684)/g1^2 - g1^9*t^8.921 - t^4.342/(g1*y) - (3*t^6.71)/(g1^5*y) - t^7.026/(g1^3*y) + (g1*t^7.658)/y + (3*t^7.737)/(g1^8*y) + (3*g1^3*t^7.974)/y + (3*t^8.053)/(g1^6*y) + (9*t^8.368)/(g1^4*y) + (3*t^8.684)/(g1^2*y) - (t^4.342*y)/g1 - (3*t^6.71*y)/g1^5 - (t^7.026*y)/g1^3 + g1*t^7.658*y + (3*t^7.737*y)/g1^8 + 3*g1^3*t^7.974*y + (3*t^8.053*y)/g1^6 + (9*t^8.368*y)/g1^4 + (3*t^8.684*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 |
---|---|---|---|---|---|---|---|---|
2480 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ | 0.7314 | 0.9189 | 0.796 | [M:[1.0, 0.7143, 1.0, 0.7143, 1.0, 0.7143], q:[0.5, 0.5], qb:[0.5, 0.7857], phi:[0.4286]] | 3*t^2.143 + t^2.571 + 3*t^3. + 12*t^4.286 + 3*t^4.714 + 10*t^5.143 + 3*t^5.571 - 3*t^6. - t^4.286/y - t^4.286*y | detail | {a: 2007/2744, c: 5043/5488, M1: 1, M2: 5/7, M3: 1, M4: 5/7, M5: 1, M6: 5/7, q1: 1/2, q2: 1/2, qb1: 1/2, qb2: 11/14, phi1: 3/7} |
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 |
---|---|---|---|---|---|---|---|---|---|
915 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}^{2}$ | 0.7215 | 0.8862 | 0.8142 | [M:[1.0, 0.8197, 1.0, 0.8197, 1.0], q:[0.5, 0.5], qb:[0.5, 0.6803], phi:[0.4549]] | 2*t^2.459 + t^2.73 + 3*t^3. + t^3.541 + 6*t^4.365 + 3*t^4.906 + 3*t^4.918 + 2*t^5.189 + t^5.446 + 4*t^5.459 + 3*t^5.73 - 2*t^6. - t^4.365/y - t^4.365*y | detail |