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 |
---|---|---|---|---|---|---|---|---|---|
3880 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6901 | 0.8854 | 0.7795 | [M:[0.7257, 0.8083, 0.6845, 0.8495, 1.1505, 0.8495, 0.7257], q:[0.8701, 0.4041], qb:[0.4454, 0.7464], phi:[0.3835]] | [M:[[18], [-2], [28], [-12], [12], [-12], [18]], q:[[-17], [-1]], qb:[[-11], [13]], phi:[[4]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{1}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{4}$, ${ }M_{6}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}M_{7}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{6}$, ${ }M_{2}M_{7}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{6}$, ${ }M_{4}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{7}\phi_{1}q_{2}^{2}$, ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{2}^{2}$, ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{1}$ | ${}\phi_{1}^{3}q_{2}\tilde{q}_{1}$ | -1 | t^2.053 + 2*t^2.177 + t^2.301 + t^2.425 + 2*t^2.549 + t^3.575 + t^3.699 + t^4.107 + 2*t^4.231 + 4*t^4.354 + 3*t^4.478 + 5*t^4.602 + 5*t^4.726 + 4*t^4.85 + 2*t^4.973 + 3*t^5.097 + t^5.629 + 2*t^5.752 + t^5.876 - t^6. + t^6.124 + t^6.16 + t^6.248 + 2*t^6.284 + 4*t^6.408 + 7*t^6.532 + 8*t^6.655 + 10*t^6.779 + 12*t^6.903 + 9*t^7.027 + 9*t^7.15 + 7*t^7.274 + 4*t^7.398 + t^7.522 + 3*t^7.646 + t^7.682 + 2*t^7.806 + 2*t^7.93 - t^8.053 - 3*t^8.177 + t^8.214 - 2*t^8.301 + 2*t^8.337 - 4*t^8.425 + 4*t^8.461 - 5*t^8.549 + 7*t^8.585 - 2*t^8.672 + 13*t^8.709 + 14*t^8.833 + 19*t^8.956 - t^4.15/y - t^6.204/y - (2*t^6.328)/y - t^6.451/y - t^6.575/y - t^6.699/y + (2*t^7.231)/y + (2*t^7.354)/y + (3*t^7.478)/y + (5*t^7.602)/y + (6*t^7.726)/y + (3*t^7.85)/y + (4*t^7.973)/y + (2*t^8.097)/y - t^8.257/y - (2*t^8.381)/y - (4*t^8.505)/y - (2*t^8.629)/y - t^8.752/y - t^4.15*y - t^6.204*y - 2*t^6.328*y - t^6.451*y - t^6.575*y - t^6.699*y + 2*t^7.231*y + 2*t^7.354*y + 3*t^7.478*y + 5*t^7.602*y + 6*t^7.726*y + 3*t^7.85*y + 4*t^7.973*y + 2*t^8.097*y - t^8.257*y - 2*t^8.381*y - 4*t^8.505*y - 2*t^8.629*y - t^8.752*y | g1^28*t^2.053 + 2*g1^18*t^2.177 + g1^8*t^2.301 + t^2.425/g1^2 + (2*t^2.549)/g1^12 + g1^2*t^3.575 + t^3.699/g1^8 + g1^56*t^4.107 + 2*g1^46*t^4.231 + 4*g1^36*t^4.354 + 3*g1^26*t^4.478 + 5*g1^16*t^4.602 + 5*g1^6*t^4.726 + (4*t^4.85)/g1^4 + (2*t^4.973)/g1^14 + (3*t^5.097)/g1^24 + g1^30*t^5.629 + 2*g1^20*t^5.752 + g1^10*t^5.876 - t^6. + t^6.124/g1^10 + g1^84*t^6.16 + t^6.248/g1^20 + 2*g1^74*t^6.284 + 4*g1^64*t^6.408 + 7*g1^54*t^6.532 + 8*g1^44*t^6.655 + 10*g1^34*t^6.779 + 12*g1^24*t^6.903 + 9*g1^14*t^7.027 + 9*g1^4*t^7.15 + (7*t^7.274)/g1^6 + (4*t^7.398)/g1^16 + t^7.522/g1^26 + (3*t^7.646)/g1^36 + g1^58*t^7.682 + 2*g1^48*t^7.806 + 2*g1^38*t^7.93 - g1^28*t^8.053 - 3*g1^18*t^8.177 + g1^112*t^8.214 - 2*g1^8*t^8.301 + 2*g1^102*t^8.337 - (4*t^8.425)/g1^2 + 4*g1^92*t^8.461 - (5*t^8.549)/g1^12 + 7*g1^82*t^8.585 - (2*t^8.672)/g1^22 + 13*g1^72*t^8.709 + 14*g1^62*t^8.833 + 19*g1^52*t^8.956 - (g1^4*t^4.15)/y - (g1^32*t^6.204)/y - (2*g1^22*t^6.328)/y - (g1^12*t^6.451)/y - (g1^2*t^6.575)/y - t^6.699/(g1^8*y) + (2*g1^46*t^7.231)/y + (2*g1^36*t^7.354)/y + (3*g1^26*t^7.478)/y + (5*g1^16*t^7.602)/y + (6*g1^6*t^7.726)/y + (3*t^7.85)/(g1^4*y) + (4*t^7.973)/(g1^14*y) + (2*t^8.097)/(g1^24*y) - (g1^60*t^8.257)/y - (2*g1^50*t^8.381)/y - (4*g1^40*t^8.505)/y - (2*g1^30*t^8.629)/y - (g1^20*t^8.752)/y - g1^4*t^4.15*y - g1^32*t^6.204*y - 2*g1^22*t^6.328*y - g1^12*t^6.451*y - g1^2*t^6.575*y - (t^6.699*y)/g1^8 + 2*g1^46*t^7.231*y + 2*g1^36*t^7.354*y + 3*g1^26*t^7.478*y + 5*g1^16*t^7.602*y + 6*g1^6*t^7.726*y + (3*t^7.85*y)/g1^4 + (4*t^7.973*y)/g1^14 + (2*t^8.097*y)/g1^24 - g1^60*t^8.257*y - 2*g1^50*t^8.381*y - 4*g1^40*t^8.505*y - 2*g1^30*t^8.629*y - g1^20*t^8.752*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 |
---|---|---|---|---|---|---|---|---|
5468 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.7085 | 0.919 | 0.771 | [M:[0.7206, 0.8088, 0.6764, 0.853, 1.147, 0.853, 0.7206, 0.7647], q:[0.875, 0.4044], qb:[0.4485, 0.7426], phi:[0.3823]] | t^2.029 + 2*t^2.162 + 2*t^2.294 + t^2.426 + 2*t^2.559 + t^3.574 + t^4.059 + 2*t^4.191 + 5*t^4.323 + 5*t^4.456 + 7*t^4.588 + 6*t^4.721 + 6*t^4.853 + 2*t^4.985 + 3*t^5.118 + t^5.603 + t^5.735 - 2*t^6. - t^4.147/y - t^4.147*y | detail | |
5467 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ | 0.7061 | 0.9132 | 0.7733 | [M:[0.7275, 0.8081, 0.6872, 0.8484, 1.1516, 0.8484, 0.7275, 0.8081], q:[0.8685, 0.404], qb:[0.4443, 0.7476], phi:[0.3839]] | t^2.061 + 2*t^2.182 + t^2.303 + 2*t^2.424 + 2*t^2.545 + t^3.697 + t^4.123 + 2*t^4.244 + 4*t^4.365 + 4*t^4.486 + 7*t^4.607 + 6*t^4.727 + 6*t^4.848 + 4*t^4.969 + 3*t^5.09 - 2*t^6. - t^4.152/y - t^4.152*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 |
---|---|---|---|---|---|---|---|---|---|
3392 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{5}M_{6}$ | 0.6704 | 0.8481 | 0.7904 | [M:[0.7343, 0.8073, 0.6978, 0.8438, 1.1562, 0.8438], q:[0.8621, 0.4037], qb:[0.4402, 0.7525], phi:[0.3854]] | t^2.093 + t^2.203 + t^2.312 + t^2.422 + 2*t^2.531 + t^3.578 + t^3.688 + t^3.797 + t^4.187 + t^4.296 + 2*t^4.406 + 2*t^4.515 + 4*t^4.625 + 3*t^4.734 + 4*t^4.844 + 2*t^4.953 + 3*t^5.063 + t^5.671 + t^5.781 + t^5.89 - t^4.156/y - t^4.156*y | detail |