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 |
---|---|---|---|---|---|---|---|---|---|
492 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ | 0.7546 | 0.9174 | 0.8226 | [M:[0.7904, 1.2096, 0.7904, 0.7904, 0.7904], q:[0.6048, 0.6048], qb:[0.6048, 0.6048], phi:[0.3952]] | [M:[[-2, -2], [2, 2], [-2, -2], [-4, 0], [0, -4]], q:[[0, 2], [2, 0]], qb:[[2, 0], [0, 2]], phi:[[-1, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{5}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$ | ${}M_{1}M_{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ | -4 | 4*t^2.371 + 3*t^3.629 + 10*t^4.743 + 10*t^4.814 - 4*t^6. + 20*t^7.114 + 25*t^7.186 + 5*t^7.257 - 24*t^8.371 + 5*t^8.443 - t^4.186/y - (4*t^6.557)/y + (6*t^7.743)/y + (4*t^7.814)/y - (10*t^8.928)/y - t^4.186*y - 4*t^6.557*y + 6*t^7.743*y + 4*t^7.814*y - 10*t^8.928*y | t^2.371/g1^4 + t^2.371/g2^4 + (2*t^2.371)/(g1^2*g2^2) + 3*g1^2*g2^2*t^3.629 + t^4.743/g1^8 + t^4.743/g2^8 + (2*t^4.743)/(g1^2*g2^6) + (4*t^4.743)/(g1^4*g2^4) + (2*t^4.743)/(g1^6*g2^2) + (3*g1^3*t^4.814)/g2 + 4*g1*g2*t^4.814 + (3*g2^3*t^4.814)/g1 - 2*t^6. - (g1^2*t^6.)/g2^2 - (g2^2*t^6.)/g1^2 + t^7.114/g1^12 + t^7.114/g2^12 + (2*t^7.114)/(g1^2*g2^10) + (4*t^7.114)/(g1^4*g2^8) + (6*t^7.114)/(g1^6*g2^6) + (4*t^7.114)/(g1^8*g2^4) + (2*t^7.114)/(g1^10*g2^2) + (3*g1^3*t^7.186)/g2^5 + (6*g1*t^7.186)/g2^3 + (7*t^7.186)/(g1*g2) + (6*g2*t^7.186)/g1^3 + (3*g2^3*t^7.186)/g1^5 + 5*g1^4*g2^4*t^7.257 - (7*t^8.371)/g1^4 - (g1^2*t^8.371)/g2^6 - (7*t^8.371)/g2^4 - (8*t^8.371)/(g1^2*g2^2) - (g2^2*t^8.371)/g1^6 + 2*g1^5*g2*t^8.443 + g1^3*g2^3*t^8.443 + 2*g1*g2^5*t^8.443 - t^4.186/(g1*g2*y) - t^6.557/(g1*g2^5*y) - (2*t^6.557)/(g1^3*g2^3*y) - t^6.557/(g1^5*g2*y) + (2*t^7.743)/(g1^2*g2^6*y) + (2*t^7.743)/(g1^4*g2^4*y) + (2*t^7.743)/(g1^6*g2^2*y) + (g1^3*t^7.814)/(g2*y) + (2*g1*g2*t^7.814)/y + (g2^3*t^7.814)/(g1*y) - t^8.928/(g1*g2^9*y) - (2*t^8.928)/(g1^3*g2^7*y) - (4*t^8.928)/(g1^5*g2^5*y) - (2*t^8.928)/(g1^7*g2^3*y) - t^8.928/(g1^9*g2*y) - (t^4.186*y)/(g1*g2) - (t^6.557*y)/(g1*g2^5) - (2*t^6.557*y)/(g1^3*g2^3) - (t^6.557*y)/(g1^5*g2) + (2*t^7.743*y)/(g1^2*g2^6) + (2*t^7.743*y)/(g1^4*g2^4) + (2*t^7.743*y)/(g1^6*g2^2) + (g1^3*t^7.814*y)/g2 + 2*g1*g2*t^7.814*y + (g2^3*t^7.814*y)/g1 - (t^8.928*y)/(g1*g2^9) - (2*t^8.928*y)/(g1^3*g2^7) - (4*t^8.928*y)/(g1^5*g2^5) - (2*t^8.928*y)/(g1^7*g2^3) - (t^8.928*y)/(g1^9*g2) |
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 |
---|---|---|---|---|---|---|---|---|
782 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{5}$ | 0.7087 | 0.8668 | 0.8176 | [M:[0.9413, 1.0587, 0.9413, 0.8239, 1.0587], q:[0.4707, 0.588], qb:[0.588, 0.4707], phi:[0.4707]] | t^2.472 + 2*t^2.824 + 4*t^3.176 + 3*t^4.236 + 4*t^4.588 + 3*t^4.94 + t^4.943 + 2*t^5.296 + 3*t^5.648 - t^4.412/y - t^4.412*y | detail | |
781 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ | 0.7289 | 0.8891 | 0.8198 | [M:[0.8745, 1.1255, 0.8745, 1.0, 0.7491], q:[0.6255, 0.5], qb:[0.5, 0.6255], phi:[0.4373]] | t^2.247 + 2*t^2.624 + t^3. + 3*t^3.376 + 3*t^4.312 + t^4.494 + 4*t^4.688 + 2*t^4.871 + 3*t^5.065 + 4*t^5.247 + t^5.624 - t^6. - t^4.312/y - t^4.312*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 |
---|---|---|---|---|---|---|---|---|---|
316 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ | 0.7394 | 0.8922 | 0.8287 | [M:[0.8151, 1.1849, 0.8151, 0.7774], q:[0.5736, 0.6113], qb:[0.6113, 0.5736], phi:[0.4075]] | t^2.332 + 2*t^2.445 + t^3.441 + 3*t^3.555 + 4*t^4.664 + 6*t^4.777 + 6*t^4.891 + t^5.774 + t^5.887 - 2*t^6. - t^4.223/y - t^4.223*y | detail |