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 |
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4094 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{4}X_{1}$ + ${ }M_{8}q_{1}\tilde{q}_{1}$ | 0.6975 | 0.8711 | 0.8008 | [X:[1.3342], M:[1.0013, 1.1105, 1.0013, 0.6658, 0.8895, 0.7776, 0.9987, 0.6684], q:[0.7776, 0.4447], qb:[0.554, 0.4447], phi:[0.4447]] | [X:[[6]], M:[[9], [-4], [9], [-6], [4], [-1], [-9], [12]], q:[[-1], [2]], qb:[[-11], [2]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{8}$, ${ }M_{6}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{7}$, ${ }M_{3}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }X_{1}$, ${ }M_{8}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}M_{8}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}^{2}$, ${ }M_{5}M_{8}$, ${ }M_{8}\phi_{1}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{7}M_{8}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{3}M_{8}$, ${ }M_{6}M_{7}$, ${ }M_{5}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{5}M_{7}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{8}q_{1}q_{2}$, ${ }M_{7}^{2}$ | ${}M_{3}M_{7}$ | -3 | t^2.005 + t^2.333 + 2*t^2.668 + t^2.996 + t^3.004 + t^3.667 + 3*t^4.003 + t^4.01 + 2*t^4.33 + t^4.338 + t^4.658 + t^4.666 + 2*t^4.674 + 3*t^5.001 + t^5.009 + t^5.329 + 4*t^5.337 + 2*t^5.665 + t^5.672 + t^5.992 - 3*t^6. + 4*t^6.008 + t^6.016 - 2*t^6.328 + 5*t^6.335 + t^6.343 + 2*t^6.663 + 7*t^6.671 + 2*t^6.679 + t^6.991 + 4*t^6.999 + 4*t^7.006 + t^7.014 + 3*t^7.326 - t^7.334 + 4*t^7.342 + t^7.654 - 2*t^7.662 + 7*t^7.67 + t^7.677 - t^7.99 + t^7.997 + 6*t^8.005 + 4*t^8.013 + t^8.021 + 5*t^8.341 + t^8.348 + 2*t^8.661 - 5*t^8.668 + 8*t^8.676 + 2*t^8.684 + 3*t^8.988 - 6*t^8.996 - t^4.334/y - t^6.339/y - t^6.667/y - t^7.003/y + t^7.33/y + t^7.666/y + (2*t^7.674)/y + (4*t^8.001)/y + t^8.009/y + (2*t^8.329)/y + (2*t^8.337)/y - t^8.345/y + (2*t^8.665)/y + (2*t^8.672)/y - t^4.334*y - t^6.339*y - t^6.667*y - t^7.003*y + t^7.33*y + t^7.666*y + 2*t^7.674*y + 4*t^8.001*y + t^8.009*y + 2*t^8.329*y + 2*t^8.337*y - t^8.345*y + 2*t^8.665*y + 2*t^8.672*y | g1^12*t^2.005 + t^2.333/g1 + 2*g1^4*t^2.668 + t^2.996/g1^9 + g1^9*t^3.004 + g1*t^3.667 + 3*g1^6*t^4.003 + g1^24*t^4.01 + (2*t^4.33)/g1^7 + g1^11*t^4.338 + t^4.658/g1^20 + t^4.666/g1^2 + 2*g1^16*t^4.674 + 3*g1^3*t^5.001 + g1^21*t^5.009 + t^5.329/g1^10 + 4*g1^8*t^5.337 + (2*t^5.665)/g1^5 + g1^13*t^5.672 + t^5.992/g1^18 - 3*t^6. + 4*g1^18*t^6.008 + g1^36*t^6.016 - (2*t^6.328)/g1^13 + 5*g1^5*t^6.335 + g1^23*t^6.343 + (2*t^6.663)/g1^8 + 7*g1^10*t^6.671 + 2*g1^28*t^6.679 + t^6.991/g1^21 + (4*t^6.999)/g1^3 + 4*g1^15*t^7.006 + g1^33*t^7.014 + (3*t^7.326)/g1^16 - g1^2*t^7.334 + 4*g1^20*t^7.342 + t^7.654/g1^29 - (2*t^7.662)/g1^11 + 7*g1^7*t^7.67 + g1^25*t^7.677 - t^7.99/g1^24 + t^7.997/g1^6 + 6*g1^12*t^8.005 + 4*g1^30*t^8.013 + g1^48*t^8.021 + 5*g1^17*t^8.341 + g1^35*t^8.348 + (2*t^8.661)/g1^14 - 5*g1^4*t^8.668 + 8*g1^22*t^8.676 + 2*g1^40*t^8.684 + (3*t^8.988)/g1^27 - (6*t^8.996)/g1^9 - (g1^2*t^4.334)/y - (g1^14*t^6.339)/y - (g1*t^6.667)/y - (g1^6*t^7.003)/y + t^7.33/(g1^7*y) + t^7.666/(g1^2*y) + (2*g1^16*t^7.674)/y + (4*g1^3*t^8.001)/y + (g1^21*t^8.009)/y + (2*t^8.329)/(g1^10*y) + (2*g1^8*t^8.337)/y - (g1^26*t^8.345)/y + (2*t^8.665)/(g1^5*y) + (2*g1^13*t^8.672)/y - g1^2*t^4.334*y - g1^14*t^6.339*y - g1*t^6.667*y - g1^6*t^7.003*y + (t^7.33*y)/g1^7 + (t^7.666*y)/g1^2 + 2*g1^16*t^7.674*y + 4*g1^3*t^8.001*y + g1^21*t^8.009*y + (2*t^8.329*y)/g1^10 + 2*g1^8*t^8.337*y - g1^26*t^8.345*y + (2*t^8.665*y)/g1^5 + 2*g1^13*t^8.672*y |
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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
1643 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{4}X_{1}$ | 0.6767 | 0.8295 | 0.8158 | [X:[1.3345], M:[1.0018, 1.1103, 1.0018, 0.6655, 0.8897, 0.7776, 0.9982], q:[0.7776, 0.4448], qb:[0.5534, 0.4448], phi:[0.4448]] | t^2.333 + 2*t^2.669 + t^2.995 + t^3.005 + t^3.667 + t^3.993 + 3*t^4.004 + 2*t^4.329 + t^4.655 + t^4.665 + 2*t^5.002 + t^5.327 + 4*t^5.338 + 2*t^5.664 + t^5.989 - 3*t^6. - t^4.335/y - t^4.335*y | detail |