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 |
---|---|---|---|---|---|---|---|---|---|
56879 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}^{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{7}$ | 0.6708 | 0.8321 | 0.8061 | [M:[0.9622, 1.0, 1.1715, 0.8285, 1.1047, 0.7617, 0.8285], q:[0.6047, 0.4332], qb:[0.3953, 0.7762], phi:[0.4477]] | [M:[[-11], [0], [-3], [3], [4], [10], [3]], q:[[4], [7]], qb:[[-4], [1]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{6}$, ${ }M_{4}$, ${ }M_{7}$, ${ }M_{1}$, ${ }M_{2}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{6}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{2}M_{6}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{7}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{7}$, ${ }M_{5}M_{6}$, ${ }M_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}M_{7}$, ${ }M_{6}q_{2}\tilde{q}_{2}$ | ${}$ | -2 | t^2.285 + 2*t^2.485 + t^2.887 + t^3. + t^3.314 + t^3.628 + t^3.828 + t^3.942 + t^4.142 + t^4.343 + t^4.456 + t^4.57 + 2*t^4.77 + 4*t^4.971 + t^5.172 + t^5.285 + t^5.372 + t^5.485 + t^5.599 + t^5.773 + 2*t^5.799 + t^5.913 - 2*t^6. + 2*t^6.113 + t^6.227 + 2*t^6.314 + 3*t^6.427 - t^6.515 + 3*t^6.628 + t^6.741 + t^6.828 + t^6.855 + 3*t^6.942 - t^7.029 + 2*t^7.055 + 5*t^7.256 - t^7.343 + 7*t^7.456 + 2*t^7.57 + t^7.657 + 3*t^7.77 + 2*t^7.884 + t^7.971 + t^8.058 + 3*t^8.084 - t^8.172 + t^8.198 + t^8.259 + 2*t^8.285 - t^8.372 + 3*t^8.398 - 5*t^8.485 + t^8.512 + 4*t^8.599 + t^8.66 - t^8.686 + 3*t^8.712 + t^8.799 - 2*t^8.887 + 7*t^8.913 - t^4.343/y - t^6.628/y - t^6.828/y - t^7.23/y + t^7.456/y + (2*t^7.77)/y + t^7.858/y + t^7.971/y + t^8.058/y + t^8.172/y + t^8.285/y + (2*t^8.372)/y + (2*t^8.485)/y + t^8.599/y + (2*t^8.799)/y + t^8.887/y - t^4.343*y - t^6.628*y - t^6.828*y - t^7.23*y + t^7.456*y + 2*t^7.77*y + t^7.858*y + t^7.971*y + t^8.058*y + t^8.172*y + t^8.285*y + 2*t^8.372*y + 2*t^8.485*y + t^8.599*y + 2*t^8.799*y + t^8.887*y | g1^10*t^2.285 + 2*g1^3*t^2.485 + t^2.887/g1^11 + t^3. + g1^4*t^3.314 + g1^8*t^3.628 + g1*t^3.828 + g1^12*t^3.942 + g1^5*t^4.142 + t^4.343/g1^2 + g1^9*t^4.456 + g1^20*t^4.57 + 2*g1^13*t^4.77 + 4*g1^6*t^4.971 + t^5.172/g1 + g1^10*t^5.285 + t^5.372/g1^8 + g1^3*t^5.485 + g1^14*t^5.599 + t^5.773/g1^22 + 2*g1^7*t^5.799 + g1^18*t^5.913 - 2*t^6. + 2*g1^11*t^6.113 + g1^22*t^6.227 + 2*g1^4*t^6.314 + 3*g1^15*t^6.427 - t^6.515/g1^3 + 3*g1^8*t^6.628 + g1^19*t^6.741 + g1*t^6.828 + g1^30*t^6.855 + 3*g1^12*t^6.942 - t^7.029/g1^6 + 2*g1^23*t^7.055 + 5*g1^16*t^7.256 - t^7.343/g1^2 + 7*g1^9*t^7.456 + 2*g1^20*t^7.57 + g1^2*t^7.657 + 3*g1^13*t^7.77 + 2*g1^24*t^7.884 + g1^6*t^7.971 + t^8.058/g1^12 + 3*g1^17*t^8.084 - t^8.172/g1 + g1^28*t^8.198 + t^8.259/g1^19 + 2*g1^10*t^8.285 - t^8.372/g1^8 + 3*g1^21*t^8.398 - 5*g1^3*t^8.485 + g1^32*t^8.512 + 4*g1^14*t^8.599 + t^8.66/g1^33 - t^8.686/g1^4 + 3*g1^25*t^8.712 + g1^7*t^8.799 - (2*t^8.887)/g1^11 + 7*g1^18*t^8.913 - t^4.343/(g1^2*y) - (g1^8*t^6.628)/y - (g1*t^6.828)/y - t^7.23/(g1^13*y) + (g1^9*t^7.456)/y + (2*g1^13*t^7.77)/y + t^7.858/(g1^5*y) + (g1^6*t^7.971)/y + t^8.058/(g1^12*y) + t^8.172/(g1*y) + (g1^10*t^8.285)/y + (2*t^8.372)/(g1^8*y) + (2*g1^3*t^8.485)/y + (g1^14*t^8.599)/y + (2*g1^7*t^8.799)/y + t^8.887/(g1^11*y) - (t^4.343*y)/g1^2 - g1^8*t^6.628*y - g1*t^6.828*y - (t^7.23*y)/g1^13 + g1^9*t^7.456*y + 2*g1^13*t^7.77*y + (t^7.858*y)/g1^5 + g1^6*t^7.971*y + (t^8.058*y)/g1^12 + (t^8.172*y)/g1 + g1^10*t^8.285*y + (2*t^8.372*y)/g1^8 + 2*g1^3*t^8.485*y + g1^14*t^8.599*y + 2*g1^7*t^8.799*y + (t^8.887*y)/g1^11 |
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 |
---|---|---|---|---|---|---|---|---|
58848 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}^{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6908 | 0.8692 | 0.7947 | [M:[0.9606, 1.0, 1.1711, 0.8289, 1.1052, 0.7631, 0.8289, 0.7237], q:[0.6052, 0.4342], qb:[0.3948, 0.7763], phi:[0.4474]] | t^2.171 + t^2.289 + 2*t^2.487 + t^2.882 + t^3. + t^3.316 + t^3.631 + t^3.947 + t^4.145 + 2*t^4.342 + 2*t^4.46 + t^4.578 + 2*t^4.658 + 2*t^4.776 + 4*t^4.974 + t^5.053 + 2*t^5.171 + t^5.289 + t^5.369 + 2*t^5.487 + t^5.605 + t^5.764 + 3*t^5.802 + t^5.921 - 2*t^6. - t^4.342/y - t^4.342*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 |
---|---|---|---|---|---|---|---|---|---|
55235 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}^{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6562 | 0.806 | 0.8142 | [M:[0.951, 1.0, 1.1685, 0.8315, 1.1087, 0.7718], q:[0.6087, 0.4402], qb:[0.3913, 0.7772], phi:[0.4456]] | t^2.315 + t^2.495 + t^2.853 + t^3. + t^3.326 + t^3.505 + t^3.652 + t^3.832 + t^3.978 + t^4.158 + t^4.337 + t^4.484 + t^4.631 + t^4.81 + 2*t^4.989 + t^5.168 + t^5.315 + t^5.641 + t^5.706 + 2*t^5.821 + t^5.968 - t^6. - t^4.337/y - t^4.337*y | detail |