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 |
---|---|---|---|---|---|---|---|---|---|
1394 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.7182 | 0.8876 | 0.8092 | [M:[1.0, 0.8798, 0.8198, 1.0601, 1.0, 0.8798], q:[0.5901, 0.4099], qb:[0.5901, 0.53], phi:[0.47]] | [M:[[0], [-4], [-6], [2], [0], [-4]], q:[[3], [-3]], qb:[[3], [1]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{2}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{5}$, ${ }M_{4}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}M_{6}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}M_{5}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$ | ${}M_{1}M_{5}$ | -2 | t^2.459 + 2*t^2.64 + t^2.82 + 2*t^3. + t^3.18 + t^3.869 + t^4.23 + 2*t^4.41 + t^4.59 + 2*t^4.77 + t^4.919 + 3*t^4.951 + 2*t^5.099 + 4*t^5.279 + 2*t^5.459 + 5*t^5.64 + 2*t^5.82 - 2*t^6. + t^6.328 - t^6.36 + 2*t^6.509 - 2*t^6.541 + 2*t^6.689 + 4*t^6.869 + 5*t^7.049 + 4*t^7.23 + t^7.378 + 6*t^7.41 + 2*t^7.558 + 6*t^7.59 + 5*t^7.738 + t^7.77 + 6*t^7.919 + 2*t^7.951 + 5*t^8.099 - t^8.131 + 8*t^8.279 - 2*t^8.311 + t^8.459 - 4*t^8.64 + t^8.788 + 2*t^8.968 - t^4.41/y - t^6.869/y - (2*t^7.049)/y + (2*t^7.77)/y + t^7.951/y + (2*t^8.099)/y + (2*t^8.279)/y + (4*t^8.459)/y + (5*t^8.64)/y + (4*t^8.82)/y - t^4.41*y - t^6.869*y - 2*t^7.049*y + 2*t^7.77*y + t^7.951*y + 2*t^8.099*y + 2*t^8.279*y + 4*t^8.459*y + 5*t^8.64*y + 4*t^8.82*y | t^2.459/g1^6 + (2*t^2.64)/g1^4 + t^2.82/g1^2 + 2*t^3. + g1^2*t^3.18 + t^3.869/g1^7 + t^4.23/g1^3 + (2*t^4.41)/g1 + g1*t^4.59 + 2*g1^3*t^4.77 + t^4.919/g1^12 + 3*g1^5*t^4.951 + (2*t^5.099)/g1^10 + (4*t^5.279)/g1^8 + (2*t^5.459)/g1^6 + (5*t^5.64)/g1^4 + (2*t^5.82)/g1^2 - 2*t^6. + t^6.328/g1^13 - g1^4*t^6.36 + (2*t^6.509)/g1^11 - 2*g1^6*t^6.541 + (2*t^6.689)/g1^9 + (4*t^6.869)/g1^7 + (5*t^7.049)/g1^5 + (4*t^7.23)/g1^3 + t^7.378/g1^18 + (6*t^7.41)/g1 + (2*t^7.558)/g1^16 + 6*g1*t^7.59 + (5*t^7.738)/g1^14 + g1^3*t^7.77 + (6*t^7.919)/g1^12 + 2*g1^5*t^7.951 + (5*t^8.099)/g1^10 - g1^7*t^8.131 + (8*t^8.279)/g1^8 - 2*g1^9*t^8.311 + t^8.459/g1^6 - (4*t^8.64)/g1^4 + t^8.788/g1^19 + (2*t^8.968)/g1^17 - t^4.41/(g1*y) - t^6.869/(g1^7*y) - (2*t^7.049)/(g1^5*y) + (2*g1^3*t^7.77)/y + (g1^5*t^7.951)/y + (2*t^8.099)/(g1^10*y) + (2*t^8.279)/(g1^8*y) + (4*t^8.459)/(g1^6*y) + (5*t^8.64)/(g1^4*y) + (4*t^8.82)/(g1^2*y) - (t^4.41*y)/g1 - (t^6.869*y)/g1^7 - (2*t^7.049*y)/g1^5 + 2*g1^3*t^7.77*y + g1^5*t^7.951*y + (2*t^8.099*y)/g1^10 + (2*t^8.279*y)/g1^8 + (4*t^8.459*y)/g1^6 + (5*t^8.64*y)/g1^4 + (4*t^8.82*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 |
---|---|---|---|---|---|---|---|---|
2459 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{7}$ | 0.724 | 0.8987 | 0.8056 | [M:[1.0, 0.8687, 0.8031, 1.0656, 1.0, 0.8687, 0.9344], q:[0.5985, 0.4015], qb:[0.5985, 0.5328], phi:[0.4672]] | t^2.409 + 2*t^2.606 + 2*t^2.803 + 2*t^3. + t^3.811 + t^4.205 + 2*t^4.402 + t^4.598 + 2*t^4.795 + t^4.818 + 3*t^4.992 + 2*t^5.015 + 5*t^5.212 + 4*t^5.409 + 6*t^5.606 + 2*t^5.803 - 3*t^6. - t^4.402/y - t^4.402*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 |
---|---|---|---|---|---|---|---|---|---|
912 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}^{2}$ | 0.7083 | 0.8692 | 0.8149 | [M:[1.0, 0.9016, 0.8525, 1.0492, 1.0], q:[0.5738, 0.4262], qb:[0.5738, 0.5246], phi:[0.4754]] | t^2.557 + t^2.705 + t^2.852 + 2*t^3. + t^3.148 + t^3.295 + t^3.984 + t^4.279 + 2*t^4.426 + t^4.574 + 2*t^4.721 + 3*t^4.869 + t^5.115 + t^5.262 + 2*t^5.41 + t^5.557 + 3*t^5.705 + 2*t^5.852 - t^6. - t^4.426/y - t^4.426*y | detail |