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 |
---|---|---|---|---|---|---|---|---|---|
713 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}q_{2}$ | 0.648 | 0.7954 | 0.8147 | [M:[1.1448, 1.0943, 0.931, 0.8552, 0.8805], q:[0.7736, 0.346], qb:[0.5093, 0.5598], phi:[0.4529]] | [M:[[8], [-4], [10], [-8], [-2]], q:[[-1], [3]], qb:[[-11], [1]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{5}$ | ${}$ | -1 | t^2.566 + t^2.641 + t^2.717 + t^2.793 + t^3.283 + t^3.434 + t^3.849 + t^3.924 + t^4. + t^4.076 + t^4.414 + t^4.566 + t^4.717 + t^5.131 + t^5.207 + 2*t^5.283 + t^5.359 + 2*t^5.434 + t^5.586 + t^5.924 - t^6. + t^6.076 + t^6.227 + t^6.414 + t^6.49 + 2*t^6.566 + t^6.641 + t^6.717 + t^6.793 + t^6.869 + t^6.98 + t^7.056 + 2*t^7.131 + t^7.207 + t^7.283 + t^7.359 + t^7.434 + t^7.51 + 2*t^7.697 + t^7.773 + 3*t^7.849 + 2*t^7.924 + 2*t^8. + t^8.076 + 2*t^8.151 + t^8.227 + t^8.263 + t^8.338 + t^8.379 + t^8.414 - 2*t^8.641 - 2*t^8.793 + t^8.828 + t^8.869 + 2*t^8.98 - t^4.359/y - t^7./y - t^7.151/y + t^7.566/y + t^7.717/y + t^8.207/y + t^8.283/y + (2*t^8.359)/y + t^8.434/y + t^8.51/y + t^8.849/y + t^8.924/y - t^4.359*y - t^7.*y - t^7.151*y + t^7.566*y + t^7.717*y + t^8.207*y + t^8.283*y + 2*t^8.359*y + t^8.434*y + t^8.51*y + t^8.849*y + t^8.924*y | t^2.566/g1^8 + t^2.641/g1^2 + g1^4*t^2.717 + g1^10*t^2.793 + t^3.283/g1^4 + g1^8*t^3.434 + t^3.849/g1^12 + t^3.924/g1^6 + t^4. + g1^6*t^4.076 + t^4.414/g1^20 + t^4.566/g1^8 + g1^4*t^4.717 + t^5.131/g1^16 + t^5.207/g1^10 + (2*t^5.283)/g1^4 + g1^2*t^5.359 + 2*g1^8*t^5.434 + g1^20*t^5.586 + t^5.924/g1^6 - t^6. + g1^6*t^6.076 + g1^18*t^6.227 + t^6.414/g1^20 + t^6.49/g1^14 + (2*t^6.566)/g1^8 + t^6.641/g1^2 + g1^4*t^6.717 + g1^10*t^6.793 + g1^16*t^6.869 + t^6.98/g1^28 + t^7.056/g1^22 + (2*t^7.131)/g1^16 + t^7.207/g1^10 + t^7.283/g1^4 + g1^2*t^7.359 + g1^8*t^7.434 + g1^14*t^7.51 + (2*t^7.697)/g1^24 + t^7.773/g1^18 + (3*t^7.849)/g1^12 + (2*t^7.924)/g1^6 + 2*t^8. + g1^6*t^8.076 + 2*g1^12*t^8.151 + g1^18*t^8.227 + t^8.263/g1^32 + t^8.338/g1^26 + g1^30*t^8.379 + t^8.414/g1^20 - (2*t^8.641)/g1^2 - 2*g1^10*t^8.793 + t^8.828/g1^40 + g1^16*t^8.869 + (2*t^8.98)/g1^28 - (g1^2*t^4.359)/y - t^7./y - (g1^12*t^7.151)/y + t^7.566/(g1^8*y) + (g1^4*t^7.717)/y + t^8.207/(g1^10*y) + t^8.283/(g1^4*y) + (2*g1^2*t^8.359)/y + (g1^8*t^8.434)/y + (g1^14*t^8.51)/y + t^8.849/(g1^12*y) + t^8.924/(g1^6*y) - g1^2*t^4.359*y - t^7.*y - g1^12*t^7.151*y + (t^7.566*y)/g1^8 + g1^4*t^7.717*y + (t^8.207*y)/g1^10 + (t^8.283*y)/g1^4 + 2*g1^2*t^8.359*y + g1^8*t^8.434*y + g1^14*t^8.51*y + (t^8.849*y)/g1^12 + (t^8.924*y)/g1^6 |
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 |
---|---|---|---|---|---|---|---|---|
1168 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}q_{2}$ + ${ }M_{3}^{2}$ | 0.642 | 0.792 | 0.8106 | [M:[1.2, 1.0667, 1.0, 0.8, 0.8667], q:[0.7667, 0.3667], qb:[0.4333, 0.5667], phi:[0.4667]] | t^2.4 + t^2.6 + t^2.8 + t^3. + t^3.2 + 2*t^3.6 + t^3.8 + 2*t^4. + t^4.2 + t^4.4 + 2*t^4.8 + t^5. + 2*t^5.2 + t^5.4 + 2*t^5.6 + t^5.8 + t^6. - t^4.4/y - t^4.4*y | detail | {a: 321/500, c: 99/125, M1: 6/5, M2: 16/15, M3: 1, M4: 4/5, M5: 13/15, q1: 23/30, q2: 11/30, qb1: 13/30, qb2: 17/30, phi1: 7/15} |
1169 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}q_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ | 0.6683 | 0.8337 | 0.8015 | [M:[1.1367, 1.0983, 0.9209, 0.8633, 0.8825, 0.7051], q:[0.7746, 0.3429], qb:[0.5204, 0.5588], phi:[0.4508]] | t^2.115 + t^2.59 + t^2.647 + t^2.705 + t^2.763 + t^3.295 + t^3.41 + t^3.942 + t^4. + t^4.058 + t^4.23 + t^4.475 + t^4.59 + 2*t^4.705 + t^4.763 + t^4.82 + t^4.878 + t^5.18 + t^5.237 + 2*t^5.295 + t^5.353 + 3*t^5.41 + 2*t^5.525 + t^5.942 - t^6. - t^4.353/y - t^4.353*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 |
---|---|---|---|---|---|---|---|---|---|
427 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ | 0.6373 | 0.7771 | 0.8201 | [M:[1.1394, 1.097, 0.9242, 0.8606], q:[0.7742, 0.3439], qb:[0.5167, 0.5591], phi:[0.4515]] | t^2.582 + t^2.709 + t^2.773 + t^3.291 + t^3.355 + t^3.418 + t^3.873 + t^3.936 + t^4. + t^4.064 + t^4.455 + t^4.582 + t^4.709 + t^5.164 + t^5.291 + t^5.418 + t^5.545 + t^5.936 - t^6. - t^4.355/y - t^4.355*y | detail |