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 |
---|---|---|---|---|---|---|---|---|---|
1479 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{7}$ | 0.735 | 0.921 | 0.7981 | [M:[1.0526, 0.8422, 0.867, 1.0277, 0.9723, 0.6841, 0.9474], q:[0.5263, 0.4211], qb:[0.6066, 0.5512], phi:[0.4737]] | [M:[[2, 2], [-6, -6], [-7, -1], [3, -3], [-3, 3], [7, 7], [-2, -2]], q:[[1, 1], [-3, -3]], qb:[[6, 0], [0, 6]], phi:[[-1, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{6}$, ${ }M_{2}$, ${ }M_{3}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{4}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{6}M_{7}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}M_{6}$, ${ }M_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{4}M_{6}$, ${ }M_{3}^{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{7}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{3}M_{7}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{4}$, ${ }M_{7}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{5}M_{7}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{7}$, ${ }M_{4}\phi_{1}^{2}$ | ${}$ | -3 | t^2.052 + t^2.527 + t^2.601 + 2*t^2.842 + t^2.917 + t^3.083 + t^3.232 + t^4.105 + t^4.263 + t^4.338 + t^4.504 + 2*t^4.579 + 2*t^4.654 + t^4.728 + t^4.82 + 3*t^4.895 + t^4.969 + t^5.053 + t^5.061 + t^5.128 + t^5.136 + t^5.202 + t^5.285 + 2*t^5.369 + 2*t^5.443 + t^5.518 + 3*t^5.684 + 2*t^5.759 + t^5.834 + t^5.925 - 3*t^6. + t^6.075 + t^6.149 + t^6.157 - t^6.241 + t^6.465 + 2*t^6.631 + 2*t^6.706 + t^6.781 + t^6.79 + t^6.864 + t^6.872 + t^6.939 + 3*t^6.947 + t^7.022 + 3*t^7.105 + t^7.113 + 4*t^7.18 + t^7.188 + 3*t^7.255 + t^7.329 + t^7.337 + 2*t^7.346 + 3*t^7.421 + 4*t^7.496 + 4*t^7.57 + t^7.58 + t^7.588 + t^7.645 + t^7.654 + t^7.662 + t^7.729 + 3*t^7.737 + t^7.803 + 2*t^7.811 + t^7.886 + 2*t^7.895 + 2*t^7.903 + t^7.961 + 2*t^7.97 + 2*t^8.044 - 4*t^8.052 + t^8.119 + t^8.127 + t^8.144 + t^8.202 + t^8.21 + 2*t^8.211 - t^8.219 + 3*t^8.285 - t^8.293 + 2*t^8.36 + t^8.435 - t^8.452 + t^8.517 - t^8.527 - t^8.601 + t^8.676 + 2*t^8.684 + t^8.75 + 2*t^8.758 + t^8.833 - 7*t^8.842 - 2*t^8.917 + t^8.925 + 2*t^8.991 + 3*t^8.999 - t^4.421/y - t^6.473/y - t^6.948/y - t^7.022/y - t^7.263/y + (2*t^7.579)/y + t^7.654/y + t^7.82/y + (3*t^7.895)/y + t^7.969/y + t^8.128/y + t^8.136/y + t^8.285/y + (3*t^8.369)/y + (3*t^8.443)/y + t^8.518/y - t^8.526/y + t^8.61/y + (2*t^8.684)/y + (3*t^8.759)/y + t^8.834/y + (2*t^8.925)/y - t^4.421*y - t^6.473*y - t^6.948*y - t^7.022*y - t^7.263*y + 2*t^7.579*y + t^7.654*y + t^7.82*y + 3*t^7.895*y + t^7.969*y + t^8.128*y + t^8.136*y + t^8.285*y + 3*t^8.369*y + 3*t^8.443*y + t^8.518*y - t^8.526*y + t^8.61*y + 2*t^8.684*y + 3*t^8.759*y + t^8.834*y + 2*t^8.925*y | g1^7*g2^7*t^2.052 + t^2.527/(g1^6*g2^6) + t^2.601/(g1^7*g2) + (2*t^2.842)/(g1^2*g2^2) + (g2^3*t^2.917)/g1^3 + (g1^3*t^3.083)/g2^3 + g1*g2^7*t^3.232 + g1^14*g2^14*t^4.105 + t^4.263/(g1^3*g2^3) + (g2^2*t^4.338)/g1^4 + (g1^2*t^4.504)/g2^4 + 2*g1*g2*t^4.579 + 2*g2^6*t^4.654 + (g2^11*t^4.728)/g1 + g1^6*t^4.82 + 3*g1^5*g2^5*t^4.895 + g1^4*g2^10*t^4.969 + t^5.053/(g1^12*g2^12) + (g1^11*t^5.061)/g2 + t^5.128/(g1^13*g2^7) + g1^10*g2^4*t^5.136 + t^5.202/(g1^14*g2^2) + g1^8*g2^14*t^5.285 + (2*t^5.369)/(g1^8*g2^8) + (2*t^5.443)/(g1^9*g2^3) + (g2^2*t^5.518)/g1^10 + (3*t^5.684)/(g1^4*g2^4) + (2*g2*t^5.759)/g1^5 + (g2^6*t^5.834)/g1^6 + (g1*t^5.925)/g2^5 - 3*t^6. + (g2^5*t^6.075)/g1 + (g2^10*t^6.149)/g1^2 + g1^21*g2^21*t^6.157 - (g1^5*t^6.241)/g2 + g1^2*g2^14*t^6.465 + 2*g1^8*g2^8*t^6.631 + 2*g1^7*g2^13*t^6.706 + g1^6*g2^18*t^6.781 + t^6.79/(g1^9*g2^9) + t^6.864/(g1^10*g2^4) + g1^13*g2^7*t^6.872 + (g2*t^6.939)/g1^11 + 3*g1^12*g2^12*t^6.947 + g1^11*g2^17*t^7.022 + (3*t^7.105)/(g1^5*g2^5) + g1^18*g2^6*t^7.113 + (4*t^7.18)/g1^6 + g1^17*g2^11*t^7.188 + (3*g2^5*t^7.255)/g1^7 + (g2^10*t^7.329)/g1^8 + g1^15*g2^21*t^7.337 + (2*t^7.346)/g2^6 + (3*t^7.421)/(g1*g2) + (4*g2^4*t^7.496)/g1^2 + (4*g2^9*t^7.57)/g1^3 + t^7.58/(g1^18*g2^18) + (g1^5*t^7.588)/g2^7 + (g2^14*t^7.645)/g1^4 + t^7.654/(g1^19*g2^13) + (g1^4*t^7.662)/g2^2 + t^7.729/(g1^20*g2^8) + 3*g1^3*g2^3*t^7.737 + t^7.803/(g1^21*g2^3) + 2*g1^2*g2^8*t^7.811 + g1*g2^13*t^7.886 + (2*t^7.895)/(g1^14*g2^14) + (2*g1^9*t^7.903)/g2^3 + g2^18*t^7.961 + (2*t^7.97)/(g1^15*g2^9) + (2*t^8.044)/(g1^16*g2^4) - 4*g1^7*g2^7*t^8.052 + (g2*t^8.119)/g1^17 + g1^6*g2^12*t^8.127 + (g1^14*t^8.144)/g2^4 + g1^5*g2^17*t^8.202 + g1^28*g2^28*t^8.21 + (2*t^8.211)/(g1^10*g2^10) - g1^13*g2*t^8.219 + (3*t^8.285)/(g1^11*g2^5) - g1^12*g2^6*t^8.293 + (2*t^8.36)/g1^12 + (g2^5*t^8.435)/g1^13 - t^8.452/(g1^5*g2^11) + g1^9*g2^21*t^8.517 - t^8.527/(g1^6*g2^6) - t^8.601/(g1^7*g2) + (g2^4*t^8.676)/g1^8 + 2*g1^15*g2^15*t^8.684 + (g2^9*t^8.75)/g1^9 + 2*g1^14*g2^20*t^8.758 + g1^13*g2^25*t^8.833 - (7*t^8.842)/(g1^2*g2^2) - (2*g2^3*t^8.917)/g1^3 + g1^20*g2^14*t^8.925 + (2*g2^8*t^8.991)/g1^4 + 3*g1^19*g2^19*t^8.999 - t^4.421/(g1*g2*y) - (g1^6*g2^6*t^6.473)/y - t^6.948/(g1^7*g2^7*y) - t^7.022/(g1^8*g2^2*y) - t^7.263/(g1^3*g2^3*y) + (2*g1*g2*t^7.579)/y + (g2^6*t^7.654)/y + (g1^6*t^7.82)/y + (3*g1^5*g2^5*t^7.895)/y + (g1^4*g2^10*t^7.969)/y + t^8.128/(g1^13*g2^7*y) + (g1^10*g2^4*t^8.136)/y + (g1^8*g2^14*t^8.285)/y + (3*t^8.369)/(g1^8*g2^8*y) + (3*t^8.443)/(g1^9*g2^3*y) + (g2^2*t^8.518)/(g1^10*y) - (g1^13*g2^13*t^8.526)/y + t^8.61/(g1^3*g2^9*y) + (2*t^8.684)/(g1^4*g2^4*y) + (3*g2*t^8.759)/(g1^5*y) + (g2^6*t^8.834)/(g1^6*y) + (2*g1*t^8.925)/(g2^5*y) - (t^4.421*y)/(g1*g2) - g1^6*g2^6*t^6.473*y - (t^6.948*y)/(g1^7*g2^7) - (t^7.022*y)/(g1^8*g2^2) - (t^7.263*y)/(g1^3*g2^3) + 2*g1*g2*t^7.579*y + g2^6*t^7.654*y + g1^6*t^7.82*y + 3*g1^5*g2^5*t^7.895*y + g1^4*g2^10*t^7.969*y + (t^8.128*y)/(g1^13*g2^7) + g1^10*g2^4*t^8.136*y + g1^8*g2^14*t^8.285*y + (3*t^8.369*y)/(g1^8*g2^8) + (3*t^8.443*y)/(g1^9*g2^3) + (g2^2*t^8.518*y)/g1^10 - g1^13*g2^13*t^8.526*y + (t^8.61*y)/(g1^3*g2^9) + (2*t^8.684*y)/(g1^4*g2^4) + (3*g2*t^8.759*y)/g1^5 + (g2^6*t^8.834*y)/g1^6 + (2*g1*t^8.925*y)/g2^5 |
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 |
---|---|---|---|---|---|---|---|---|
2594 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{7}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ | 0.7043 | 0.8967 | 0.7854 | [M:[1.076, 0.772, 0.693, 1.155, 0.845, 0.766, 0.924], q:[0.538, 0.386], qb:[0.769, 0.459], phi:[0.462]] | t^2.079 + t^2.298 + t^2.316 + t^2.535 + 2*t^2.772 + t^2.991 + t^3.465 + t^3.921 + t^4.14 + 2*t^4.158 + 2*t^4.377 + t^4.395 + t^4.596 + 3*t^4.614 + t^4.632 + t^4.833 + 3*t^4.851 + 4*t^5.07 + 2*t^5.088 + t^5.289 + 3*t^5.307 + t^5.526 + 3*t^5.544 + 2*t^5.763 + t^5.982 - t^6. - t^4.386/y - t^4.386*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 |
---|---|---|---|---|---|---|---|---|---|
955 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.7303 | 0.9135 | 0.7995 | [M:[1.0484, 0.8548, 0.8753, 1.0279, 0.9721, 0.6693], q:[0.5242, 0.4274], qb:[0.6005, 0.5446], phi:[0.4758]] | t^2.008 + t^2.565 + t^2.626 + t^2.855 + t^2.916 + t^3.084 + t^3.145 + t^3.206 + t^4.016 + t^4.282 + t^4.344 + t^4.511 + 2*t^4.573 + 2*t^4.634 + t^4.695 + t^4.802 + 2*t^4.863 + t^4.924 + t^5.031 + t^5.092 + t^5.129 + t^5.153 + t^5.19 + t^5.215 + t^5.252 + t^5.419 + t^5.481 + t^5.542 + 2*t^5.71 + 2*t^5.771 + t^5.832 - 2*t^6. - t^4.427/y - t^4.427*y | detail |