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 |
---|---|---|---|---|---|---|---|---|---|
1304 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}M_{4}$ | 0.6992 | 0.8563 | 0.8165 | [M:[1.0, 1.0272, 0.9457, 1.0543, 0.8914, 1.0], q:[0.4728, 0.5272], qb:[0.4728, 0.5815], phi:[0.4864]] | [M:[[0], [2], [-4], [4], [-8], [0]], q:[[-2], [2]], qb:[[-2], [6]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{5}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{6}$, ${ }M_{2}$, ${ }M_{4}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}M_{6}$, ${ }M_{2}M_{5}$, ${ }M_{1}M_{3}$, ${ }M_{4}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$ | ${}M_{1}M_{6}$ | -1 | t^2.674 + t^2.837 + 2*t^3. + t^3.081 + 2*t^3.163 + 3*t^4.296 + 2*t^4.459 + 3*t^4.622 + t^4.785 + t^4.948 + t^5.348 + t^5.511 + t^5.674 + t^5.756 + t^5.837 + t^5.919 - t^6. + 2*t^6.081 + t^6.163 + 2*t^6.244 + t^6.326 + 3*t^6.97 + 3*t^7.133 + 6*t^7.296 + 6*t^7.459 + 4*t^7.622 + 4*t^7.785 + 2*t^7.948 + t^8.022 + 2*t^8.111 + t^8.185 + t^8.348 + t^8.43 + t^8.511 + 6*t^8.593 - 4*t^8.674 + 5*t^8.756 - 6*t^8.837 + 8*t^8.919 - t^4.459/y - t^7.133/y + t^7.785/y + t^8.511/y + (2*t^8.674)/y + t^8.756/y + (4*t^8.837)/y + t^8.919/y - t^4.459*y - t^7.133*y + t^7.785*y + t^8.511*y + 2*t^8.674*y + t^8.756*y + 4*t^8.837*y + t^8.919*y | t^2.674/g1^8 + t^2.837/g1^4 + 2*t^3. + g1^2*t^3.081 + 2*g1^4*t^3.163 + (3*t^4.296)/g1^5 + (2*t^4.459)/g1 + 3*g1^3*t^4.622 + g1^7*t^4.785 + g1^11*t^4.948 + t^5.348/g1^16 + t^5.511/g1^12 + t^5.674/g1^8 + t^5.756/g1^6 + t^5.837/g1^4 + t^5.919/g1^2 - t^6. + 2*g1^2*t^6.081 + g1^4*t^6.163 + 2*g1^6*t^6.244 + g1^8*t^6.326 + (3*t^6.97)/g1^13 + (3*t^7.133)/g1^9 + (6*t^7.296)/g1^5 + (6*t^7.459)/g1 + 4*g1^3*t^7.622 + 4*g1^7*t^7.785 + 2*g1^11*t^7.948 + t^8.022/g1^24 + 2*g1^15*t^8.111 + t^8.185/g1^20 + t^8.348/g1^16 + t^8.43/g1^14 + t^8.511/g1^12 + (6*t^8.593)/g1^10 - (4*t^8.674)/g1^8 + (5*t^8.756)/g1^6 - (6*t^8.837)/g1^4 + (8*t^8.919)/g1^2 - t^4.459/(g1*y) - t^7.133/(g1^9*y) + (g1^7*t^7.785)/y + t^8.511/(g1^12*y) + (2*t^8.674)/(g1^8*y) + t^8.756/(g1^6*y) + (4*t^8.837)/(g1^4*y) + t^8.919/(g1^2*y) - (t^4.459*y)/g1 - (t^7.133*y)/g1^9 + g1^7*t^7.785*y + (t^8.511*y)/g1^12 + (2*t^8.674*y)/g1^8 + (t^8.756*y)/g1^6 + (4*t^8.837*y)/g1^4 + (t^8.919*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 |
---|---|---|---|---|---|---|---|---|
2347 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{3}M_{7}$ | 0.695 | 0.8495 | 0.8181 | [M:[1.0, 1.0185, 0.9631, 1.0369, 0.9261, 1.0, 1.0369], q:[0.4815, 0.5185], qb:[0.4815, 0.5554], phi:[0.4908]] | t^2.778 + 2*t^3. + t^3.055 + 3*t^3.111 + 3*t^4.361 + 2*t^4.472 + 3*t^4.583 + t^4.694 + t^4.805 + t^5.557 + t^5.834 - 3*t^6. - t^4.472/y - t^4.472*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 |
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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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
829 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}^{2}$ + ${ }M_{1}^{2}$ | 0.7198 | 0.8791 | 0.8188 | [M:[1.0, 1.0979, 0.8041, 0.9108, 0.8933, 1.0], q:[0.5446, 0.4554], qb:[0.5446, 0.6513], phi:[0.451]] | t^2.412 + t^2.68 + t^2.732 + 2*t^3. + t^3.294 + t^3.588 + t^4.085 + 2*t^4.353 + 3*t^4.621 + t^4.673 + t^4.825 + 2*t^4.941 + t^5.092 + t^5.145 + t^5.261 + t^5.36 + 2*t^5.412 + t^5.465 + t^5.706 + t^5.974 - 2*t^6. - t^4.353/y - t^4.353*y | detail |