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 |
---|---|---|---|---|---|---|---|---|---|
1316 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{7}$ | 0.706 | 0.8681 | 0.8132 | [M:[1.0752, 1.0376, 0.8495, 0.9665, 0.9583, 1.0, 0.9248], q:[0.4791, 0.4456], qb:[0.5544, 0.5961], phi:[0.4812]] | [M:[[4, 4], [2, 2], [-8, -8], [-12, 4], [8, -8], [0, 0], [-4, -4]], q:[[4, -4], [-8, 0]], qb:[[8, 0], [0, 8]], phi:[[-1, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{7}$, ${ }M_{5}$, ${ }M_{4}$, ${ }M_{6}$, ${ }M_{2}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{6}$, ${ }M_{7}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{4}M_{5}$, ${ }M_{6}M_{7}$, ${ }M_{4}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{2}M_{5}$ | ${}$ | -2 | t^2.549 + t^2.774 + t^2.875 + t^2.899 + t^3. + t^3.113 + t^3.226 + t^4.117 + t^4.218 + t^4.318 + t^4.444 + t^4.544 + t^4.569 + t^4.669 + t^4.77 + t^4.895 + t^5.02 + t^5.097 + t^5.323 + t^5.423 + t^5.448 + t^5.549 + t^5.661 + t^5.75 + 2*t^5.774 + t^5.799 + t^5.887 + t^5.988 - 2*t^6. + t^6.012 + t^6.113 - t^6.326 + t^6.339 - t^6.351 + t^6.666 + t^6.766 + t^6.867 + t^6.891 + 2*t^6.992 + t^7.017 + 2*t^7.093 + 2*t^7.117 + t^7.193 + 2*t^7.218 + 2*t^7.318 + t^7.343 + t^7.419 + 2*t^7.444 + t^7.468 + 2*t^7.544 + t^7.569 + t^7.645 + t^7.646 + t^7.77 + t^7.794 + t^7.871 + t^7.895 + t^7.92 + t^7.972 + t^7.996 + t^8.097 + t^8.21 + t^8.234 + t^8.246 + t^8.298 + 2*t^8.323 + t^8.335 + t^8.347 + 2*t^8.436 - t^8.448 + 2*t^8.536 - 3*t^8.549 + 2*t^8.561 + t^8.625 + t^8.637 + 2*t^8.661 + t^8.686 + t^8.698 + t^8.762 - 3*t^8.774 + t^8.787 + 2*t^8.863 - 5*t^8.875 + 4*t^8.887 - 4*t^8.899 + t^8.912 + 2*t^8.988 - t^4.444/y - t^6.992/y - t^7.318/y - t^7.343/y + t^7.544/y + t^7.569/y + t^7.895/y + t^8.323/y + t^8.423/y + t^8.448/y + t^8.549/y + t^8.649/y + t^8.661/y + t^8.674/y + (3*t^8.774)/y + t^8.875/y + t^8.887/y + t^8.899/y + t^8.988/y - t^4.444*y - t^6.992*y - t^7.318*y - t^7.343*y + t^7.544*y + t^7.569*y + t^7.895*y + t^8.323*y + t^8.423*y + t^8.448*y + t^8.549*y + t^8.649*y + t^8.661*y + t^8.674*y + 3*t^8.774*y + t^8.875*y + t^8.887*y + t^8.899*y + t^8.988*y | t^2.549/(g1^8*g2^8) + t^2.774/(g1^4*g2^4) + (g1^8*t^2.875)/g2^8 + (g2^4*t^2.899)/g1^12 + t^3. + g1^2*g2^2*t^3.113 + g1^4*g2^4*t^3.226 + t^4.117/(g1^17*g2) + t^4.218/(g1^5*g2^5) + (g1^7*t^4.318)/g2^9 + t^4.444/(g1*g2) + (g1^11*t^4.544)/g2^5 + (g2^7*t^4.569)/g1^9 + g1^3*g2^3*t^4.669 + (g1^15*t^4.77)/g2 + g1^7*g2^7*t^4.895 + (g2^15*t^5.02)/g1 + t^5.097/(g1^16*g2^16) + t^5.323/(g1^12*g2^12) + t^5.423/g2^16 + t^5.448/(g1^20*g2^4) + t^5.549/(g1^8*g2^8) + t^5.661/(g1^6*g2^6) + (g1^16*t^5.75)/g2^16 + (2*t^5.774)/(g1^4*g2^4) + (g2^8*t^5.799)/g1^24 + t^5.887/(g1^2*g2^2) + (g1^10*t^5.988)/g2^6 - 2*t^6. + (g2^6*t^6.012)/g1^10 + g1^2*g2^2*t^6.113 - g1^16*t^6.326 + g1^6*g2^6*t^6.339 - (g2^12*t^6.351)/g1^4 + t^6.666/(g1^25*g2^9) + t^6.766/(g1^13*g2^13) + t^6.867/(g1*g2^17) + t^6.891/(g1^21*g2^5) + (2*t^6.992)/(g1^9*g2^9) + (g2^3*t^7.017)/g1^29 + (2*g1^3*t^7.093)/g2^13 + (2*t^7.117)/(g1^17*g2) + (g1^15*t^7.193)/g2^17 + (2*t^7.218)/(g1^5*g2^5) + (2*g1^7*t^7.318)/g2^9 + (g2^3*t^7.343)/g1^13 + (g1^19*t^7.419)/g2^13 + (2*t^7.444)/(g1*g2) + (g2^11*t^7.468)/g1^21 + (2*g1^11*t^7.544)/g2^5 + (g2^7*t^7.569)/g1^9 + (g1^23*t^7.645)/g2^9 + t^7.646/(g1^24*g2^24) + (g1^15*t^7.77)/g2 + (g2^11*t^7.794)/g1^5 + t^7.871/(g1^20*g2^20) + g1^7*g2^7*t^7.895 + (g2^19*t^7.92)/g1^13 + t^7.972/(g1^8*g2^24) + t^7.996/(g1^28*g2^12) + t^8.097/(g1^16*g2^16) + t^8.21/(g1^14*g2^14) + t^8.234/(g1^34*g2^2) + g1^3*g2^19*t^8.246 + (g1^8*t^8.298)/g2^24 + (2*t^8.323)/(g1^12*g2^12) + t^8.335/(g1^22*g2^6) + t^8.347/g1^32 + (2*t^8.436)/(g1^10*g2^10) - t^8.448/(g1^20*g2^4) + (2*g1^2*t^8.536)/g2^14 - (3*t^8.549)/(g1^8*g2^8) + (2*t^8.561)/(g1^18*g2^2) + (g1^24*t^8.625)/g2^24 + (g1^14*t^8.637)/g2^18 + (2*t^8.661)/(g1^6*g2^6) + (g2^6*t^8.686)/g1^26 + (g2^12*t^8.698)/g1^36 + (g1^6*t^8.762)/g2^10 - (3*t^8.774)/(g1^4*g2^4) + (g2^2*t^8.787)/g1^14 + (2*g1^18*t^8.863)/g2^14 - (5*g1^8*t^8.875)/g2^8 + (4*t^8.887)/(g1^2*g2^2) - (4*g2^4*t^8.899)/g1^12 + (g2^10*t^8.912)/g1^22 + (2*g1^10*t^8.988)/g2^6 - t^4.444/(g1*g2*y) - t^6.992/(g1^9*g2^9*y) - (g1^7*t^7.318)/(g2^9*y) - (g2^3*t^7.343)/(g1^13*y) + (g1^11*t^7.544)/(g2^5*y) + (g2^7*t^7.569)/(g1^9*y) + (g1^7*g2^7*t^7.895)/y + t^8.323/(g1^12*g2^12*y) + t^8.423/(g2^16*y) + t^8.448/(g1^20*g2^4*y) + t^8.549/(g1^8*g2^8*y) + (g1^4*t^8.649)/(g2^12*y) + t^8.661/(g1^6*g2^6*y) + t^8.674/(g1^16*y) + (3*t^8.774)/(g1^4*g2^4*y) + (g1^8*t^8.875)/(g2^8*y) + t^8.887/(g1^2*g2^2*y) + (g2^4*t^8.899)/(g1^12*y) + (g1^10*t^8.988)/(g2^6*y) - (t^4.444*y)/(g1*g2) - (t^6.992*y)/(g1^9*g2^9) - (g1^7*t^7.318*y)/g2^9 - (g2^3*t^7.343*y)/g1^13 + (g1^11*t^7.544*y)/g2^5 + (g2^7*t^7.569*y)/g1^9 + g1^7*g2^7*t^7.895*y + (t^8.323*y)/(g1^12*g2^12) + (t^8.423*y)/g2^16 + (t^8.448*y)/(g1^20*g2^4) + (t^8.549*y)/(g1^8*g2^8) + (g1^4*t^8.649*y)/g2^12 + (t^8.661*y)/(g1^6*g2^6) + (t^8.674*y)/g1^16 + (3*t^8.774*y)/(g1^4*g2^4) + (g1^8*t^8.875*y)/g2^8 + (t^8.887*y)/(g1^2*g2^2) + (g2^4*t^8.899*y)/g1^12 + (g1^10*t^8.988*y)/g2^6 |
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 |
---|---|---|---|---|---|---|---|---|
2349 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{1}M_{8}$ | 0.7136 | 0.8827 | 0.8084 | [M:[1.0914, 1.0457, 0.8172, 0.9603, 0.9483, 1.0, 0.9086, 0.9086], q:[0.4742, 0.4344], qb:[0.5656, 0.6173], phi:[0.4771]] | t^2.452 + 2*t^2.726 + t^2.845 + t^2.881 + t^3. + t^3.137 + t^4.038 + t^4.157 + t^4.276 + t^4.431 + t^4.551 + t^4.587 + t^4.706 + t^4.825 + t^4.903 + t^4.98 + t^5.135 + 2*t^5.177 + t^5.296 + t^5.332 + 3*t^5.452 + t^5.571 + t^5.589 + t^5.607 + t^5.69 + 2*t^5.726 + t^5.762 + 2*t^5.863 + t^5.982 - 3*t^6. - t^4.431/y - t^4.431*y | detail | |
2348 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{7}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ | 0.6728 | 0.8419 | 0.7992 | [M:[1.1643, 1.0822, 0.6714, 1.0481, 0.7875, 1.0, 0.8357], q:[0.3938, 0.4419], qb:[0.5581, 0.7705], phi:[0.4589]] | t^2.014 + t^2.363 + t^2.507 + t^3. + t^3.144 + t^3.246 + t^3.493 + t^3.739 + t^3.884 + 2*t^4.028 + t^4.232 + 2*t^4.377 + t^4.521 + 2*t^4.725 + t^4.87 + 2*t^5.014 + t^5.159 + t^5.261 + t^5.363 + 2*t^5.507 + t^5.609 + 2*t^5.754 + t^5.898 - t^6. - t^4.377/y - t^4.377*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 |
---|---|---|---|---|---|---|---|---|---|
832 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ | 0.7536 | 0.9338 | 0.807 | [M:[0.8465, 1.1535, 0.8465, 0.8465, 0.8465, 1.0, 0.693], q:[0.6535, 0.5], qb:[0.5, 0.6535], phi:[0.4233]] | t^2.079 + 4*t^2.54 + t^3. + t^3.46 + t^4.158 + 3*t^4.27 + 4*t^4.619 + 4*t^4.73 + 11*t^5.079 + 3*t^5.191 + t^5.54 - 3*t^6. - t^4.27/y - t^4.27*y | detail |