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 |
---|---|---|---|---|---|---|---|---|---|
56914 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}^{2}$ | 0.6941 | 0.8506 | 0.816 | [M:[1.0279, 1.0279, 0.9721, 0.9534, 1.0093, 0.9721, 1.0093], q:[0.4767, 0.4953], qb:[0.4953, 0.5512], phi:[0.4953]] | [M:[[6], [6], [-6], [-10], [2], [-6], [2]], q:[[-5], [-1]], qb:[[-1], [11]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{3}$, ${ }M_{6}$, ${ }M_{5}$, ${ }M_{7}$, ${ }M_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{6}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}M_{7}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{5}M_{6}$, ${ }M_{3}M_{7}$, ${ }M_{6}M_{7}$ | ${}M_{1}M_{6}$ | -3 | t^2.86 + 2*t^2.916 + 2*t^3.028 + t^3.084 + t^3.14 + t^4.346 + 2*t^4.402 + 3*t^4.458 + t^4.57 + 2*t^4.626 + t^4.793 + t^5.721 + t^5.777 + t^5.832 + 2*t^5.888 + 3*t^5.944 - 3*t^6. + 2*t^6.056 + 2*t^6.112 + t^6.168 + t^6.279 + t^7.207 + 3*t^7.263 + 4*t^7.318 + 5*t^7.374 + 2*t^7.43 + 3*t^7.486 + 2*t^7.542 + 2*t^7.598 + 2*t^7.654 + 2*t^7.709 + t^7.765 + t^7.821 + t^7.877 + t^7.933 + t^8.581 + t^8.637 + t^8.693 + 5*t^8.749 + 4*t^8.804 - t^8.916 + 2*t^8.972 - t^4.486/y - t^7.346/y + t^7.458/y - t^7.514/y + t^7.626/y + (2*t^8.777)/y + t^8.832/y + (2*t^8.888)/y + (5*t^8.944)/y - t^4.486*y - t^7.346*y + t^7.458*y - t^7.514*y + t^7.626*y + 2*t^8.777*y + t^8.832*y + 2*t^8.888*y + 5*t^8.944*y | t^2.86/g1^10 + (2*t^2.916)/g1^6 + 2*g1^2*t^3.028 + g1^6*t^3.084 + g1^10*t^3.14 + t^4.346/g1^11 + (2*t^4.402)/g1^7 + (3*t^4.458)/g1^3 + g1^5*t^4.57 + 2*g1^9*t^4.626 + g1^21*t^4.793 + t^5.721/g1^20 + t^5.777/g1^16 + t^5.832/g1^12 + (2*t^5.888)/g1^8 + (3*t^5.944)/g1^4 - 3*t^6. + 2*g1^4*t^6.056 + 2*g1^8*t^6.112 + g1^12*t^6.168 + g1^20*t^6.279 + t^7.207/g1^21 + (3*t^7.263)/g1^17 + (4*t^7.318)/g1^13 + (5*t^7.374)/g1^9 + (2*t^7.43)/g1^5 + (3*t^7.486)/g1 + 2*g1^3*t^7.542 + 2*g1^7*t^7.598 + 2*g1^11*t^7.654 + 2*g1^15*t^7.709 + g1^19*t^7.765 + g1^23*t^7.821 + g1^27*t^7.877 + g1^31*t^7.933 + t^8.581/g1^30 + t^8.637/g1^26 + t^8.693/g1^22 + (5*t^8.749)/g1^18 + (4*t^8.804)/g1^14 - t^8.916/g1^6 + (2*t^8.972)/g1^2 - t^4.486/(g1*y) - t^7.346/(g1^11*y) + t^7.458/(g1^3*y) - (g1*t^7.514)/y + (g1^9*t^7.626)/y + (2*t^8.777)/(g1^16*y) + t^8.832/(g1^12*y) + (2*t^8.888)/(g1^8*y) + (5*t^8.944)/(g1^4*y) - (t^4.486*y)/g1 - (t^7.346*y)/g1^11 + (t^7.458*y)/g1^3 - g1*t^7.514*y + g1^9*t^7.626*y + (2*t^8.777*y)/g1^16 + (t^8.832*y)/g1^12 + (2*t^8.888*y)/g1^8 + (5*t^8.944*y)/g1^4 |
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 |
---|---|---|---|---|---|---|---|---|
58837 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ | 0.6526 | 0.8104 | 0.8054 | [M:[1.1429, 1.1429, 0.8571, 0.7619, 1.0476, 0.8571, 1.0476], q:[0.381, 0.4762], qb:[0.4762, 0.7619], phi:[0.4762]] | t^2.286 + 2*t^2.571 + 2*t^3.143 + t^3.429 + 2*t^3.714 + 2*t^4. + 3*t^4.286 + t^4.571 + 2*t^4.857 + 3*t^5.143 + 2*t^5.429 + 3*t^5.714 - t^6. - t^4.429/y - t^4.429*y | detail | {a: 1535/2352, c: 953/1176, M1: 8/7, M2: 8/7, M3: 6/7, M4: 16/21, M5: 22/21, M6: 6/7, M7: 22/21, q1: 8/21, q2: 10/21, qb1: 10/21, qb2: 16/21, phi1: 10/21} |
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 |
---|---|---|---|---|---|---|---|---|---|
55262 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ | 0.695 | 0.8523 | 0.8155 | [M:[1.0326, 1.0326, 0.9674, 0.9456, 1.0109, 0.9674], q:[0.4728, 0.4946], qb:[0.4946, 0.5598], phi:[0.4946]] | t^2.837 + 2*t^2.902 + t^2.967 + t^3.033 + t^3.098 + t^3.163 + t^4.321 + 2*t^4.386 + 3*t^4.451 + t^4.582 + 2*t^4.647 + t^4.842 + t^5.674 + t^5.739 + 2*t^5.804 + 3*t^5.87 + 2*t^5.935 - 2*t^6. - t^4.484/y - t^4.484*y | detail |