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 |
---|---|---|---|---|---|---|---|---|---|
1466 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 0.7387 | 0.9262 | 0.7975 | [M:[1.0564, 0.8307, 0.8871, 1.0, 1.0, 0.8871, 0.6975], q:[0.5282, 0.4153], qb:[0.5847, 0.5847], phi:[0.4718]] | [M:[[2, 2], [-6, -6], [-7, -1], [3, -3], [-3, 3], [-1, -7], [7, 7]], 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 |
---|---|---|---|---|
${}M_{7}$, ${ }M_{2}$, ${ }M_{6}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{5}$, ${ }M_{1}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{7}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{2}M_{6}$, ${ }M_{2}M_{3}$, ${ }M_{1}M_{7}$, ${ }M_{6}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{3}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{5}\phi_{1}^{2}$ | ${}M_{4}^{2}$, ${ }M_{5}^{2}$ | -2 | t^2.093 + t^2.492 + 2*t^2.661 + t^2.831 + 2*t^3. + t^3.169 + t^4.185 + t^4.246 + 2*t^4.415 + 2*t^4.585 + 4*t^4.754 + 4*t^4.923 + t^4.984 + 2*t^5.093 + 2*t^5.153 + t^5.262 + 4*t^5.323 + 2*t^5.492 + 5*t^5.661 + 2*t^5.831 - 2*t^6. + t^6.278 + 2*t^6.677 + t^6.738 + 4*t^6.847 + 2*t^6.907 + 4*t^7.016 + 5*t^7.077 + 2*t^7.185 + 6*t^7.246 + t^7.355 + 10*t^7.415 + t^7.476 + 8*t^7.585 + 2*t^7.645 + 6*t^7.754 + 4*t^7.815 + 4*t^7.923 + 6*t^7.984 - 3*t^8.093 + 4*t^8.153 - 2*t^8.262 + 6*t^8.323 + t^8.37 - 6*t^8.661 + 2*t^8.77 - 2*t^8.831 + 4*t^8.939 - t^4.415/y - t^6.508/y - t^6.907/y - (2*t^7.077)/y + t^7.585/y + (4*t^7.754)/y + (2*t^7.923)/y + (2*t^8.093)/y + (2*t^8.153)/y + t^8.262/y + (3*t^8.323)/y + (4*t^8.492)/y - t^8.601/y + (5*t^8.661)/y + (4*t^8.831)/y - t^4.415*y - t^6.508*y - t^6.907*y - 2*t^7.077*y + t^7.585*y + 4*t^7.754*y + 2*t^7.923*y + 2*t^8.093*y + 2*t^8.153*y + t^8.262*y + 3*t^8.323*y + 4*t^8.492*y - t^8.601*y + 5*t^8.661*y + 4*t^8.831*y | g1^7*g2^7*t^2.093 + t^2.492/(g1^6*g2^6) + t^2.661/(g1*g2^7) + t^2.661/(g1^7*g2) + t^2.831/(g1^2*g2^2) + (g1^3*t^3.)/g2^3 + (g2^3*t^3.)/g1^3 + g1^2*g2^2*t^3.169 + g1^14*g2^14*t^4.185 + t^4.246/(g1^3*g2^3) + (g1^2*t^4.415)/g2^4 + (g2^2*t^4.415)/g1^4 + 2*g1*g2*t^4.585 + 2*g1^6*t^4.754 + 2*g2^6*t^4.754 + (g1^11*t^4.923)/g2 + 2*g1^5*g2^5*t^4.923 + (g2^11*t^4.923)/g1 + t^4.984/(g1^12*g2^12) + g1^10*g2^4*t^5.093 + g1^4*g2^10*t^5.093 + t^5.153/(g1^7*g2^13) + t^5.153/(g1^13*g2^7) + g1^9*g2^9*t^5.262 + t^5.323/(g1^2*g2^14) + (2*t^5.323)/(g1^8*g2^8) + t^5.323/(g1^14*g2^2) + t^5.492/(g1^3*g2^9) + t^5.492/(g1^9*g2^3) + (g1^2*t^5.661)/g2^10 + (3*t^5.661)/(g1^4*g2^4) + (g2^2*t^5.661)/g1^10 + (g1*t^5.831)/g2^5 + (g2*t^5.831)/g1^5 - 2*t^6. + g1^21*g2^21*t^6.278 + 2*g1^8*g2^8*t^6.677 + t^6.738/(g1^9*g2^9) + 2*g1^13*g2^7*t^6.847 + 2*g1^7*g2^13*t^6.847 + t^6.907/(g1^4*g2^10) + t^6.907/(g1^10*g2^4) + g1^18*g2^6*t^7.016 + 2*g1^12*g2^12*t^7.016 + g1^6*g2^18*t^7.016 + (g1*t^7.077)/g2^11 + (3*t^7.077)/(g1^5*g2^5) + (g2*t^7.077)/g1^11 + g1^17*g2^11*t^7.185 + g1^11*g2^17*t^7.185 + (3*t^7.246)/g1^6 + (3*t^7.246)/g2^6 + g1^16*g2^16*t^7.355 + (3*g1^5*t^7.415)/g2^7 + (4*t^7.415)/(g1*g2) + (3*g2^5*t^7.415)/g1^7 + t^7.476/(g1^18*g2^18) + (g1^10*t^7.585)/g2^8 + (3*g1^4*t^7.585)/g2^2 + (3*g2^4*t^7.585)/g1^2 + (g2^10*t^7.585)/g1^8 + t^7.645/(g1^13*g2^19) + t^7.645/(g1^19*g2^13) + (2*g1^9*t^7.754)/g2^3 + 2*g1^3*g2^3*t^7.754 + (2*g2^9*t^7.754)/g1^3 + t^7.815/(g1^8*g2^20) + (2*t^7.815)/(g1^14*g2^14) + t^7.815/(g1^20*g2^8) + (g1^14*t^7.923)/g2^4 + g1^8*g2^2*t^7.923 + g1^2*g2^8*t^7.923 + (g2^14*t^7.923)/g1^4 + t^7.984/(g1^3*g2^21) + (2*t^7.984)/(g1^9*g2^15) + (2*t^7.984)/(g1^15*g2^9) + t^7.984/(g1^21*g2^3) - 3*g1^7*g2^7*t^8.093 + t^8.153/(g1^4*g2^16) + (2*t^8.153)/(g1^10*g2^10) + t^8.153/(g1^16*g2^4) - g1^12*g2^6*t^8.262 - g1^6*g2^12*t^8.262 + (g1*t^8.323)/g2^17 + (2*t^8.323)/(g1^5*g2^11) + (2*t^8.323)/(g1^11*g2^5) + (g2*t^8.323)/g1^17 + g1^28*g2^28*t^8.37 + t^8.492/g1^12 + t^8.492/g2^12 - (2*t^8.492)/(g1^6*g2^6) - (3*t^8.661)/(g1*g2^7) - (3*t^8.661)/(g1^7*g2) + 2*g1^15*g2^15*t^8.77 - (2*t^8.831)/(g1^2*g2^2) + 2*g1^20*g2^14*t^8.939 + 2*g1^14*g2^20*t^8.939 - t^4.415/(g1*g2*y) - (g1^6*g2^6*t^6.508)/y - t^6.907/(g1^7*g2^7*y) - t^7.077/(g1^2*g2^8*y) - t^7.077/(g1^8*g2^2*y) + (g1*g2*t^7.585)/y + (2*g1^6*t^7.754)/y + (2*g2^6*t^7.754)/y + (2*g1^5*g2^5*t^7.923)/y + (g1^10*g2^4*t^8.093)/y + (g1^4*g2^10*t^8.093)/y + t^8.153/(g1^7*g2^13*y) + t^8.153/(g1^13*g2^7*y) + (g1^9*g2^9*t^8.262)/y + (3*t^8.323)/(g1^8*g2^8*y) + (2*t^8.492)/(g1^3*g2^9*y) + (2*t^8.492)/(g1^9*g2^3*y) - (g1^13*g2^13*t^8.601)/y + (g1^2*t^8.661)/(g2^10*y) + (3*t^8.661)/(g1^4*g2^4*y) + (g2^2*t^8.661)/(g1^10*y) + (2*g1*t^8.831)/(g2^5*y) + (2*g2*t^8.831)/(g1^5*y) - (t^4.415*y)/(g1*g2) - g1^6*g2^6*t^6.508*y - (t^6.907*y)/(g1^7*g2^7) - (t^7.077*y)/(g1^2*g2^8) - (t^7.077*y)/(g1^8*g2^2) + g1*g2*t^7.585*y + 2*g1^6*t^7.754*y + 2*g2^6*t^7.754*y + 2*g1^5*g2^5*t^7.923*y + g1^10*g2^4*t^8.093*y + g1^4*g2^10*t^8.093*y + (t^8.153*y)/(g1^7*g2^13) + (t^8.153*y)/(g1^13*g2^7) + g1^9*g2^9*t^8.262*y + (3*t^8.323*y)/(g1^8*g2^8) + (2*t^8.492*y)/(g1^3*g2^9) + (2*t^8.492*y)/(g1^9*g2^3) - g1^13*g2^13*t^8.601*y + (g1^2*t^8.661*y)/g2^10 + (3*t^8.661*y)/(g1^4*g2^4) + (g2^2*t^8.661*y)/g1^10 + (2*g1*t^8.831*y)/g2^5 + (2*g2*t^8.831*y)/g1^5 |
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 |
---|---|---|---|---|---|---|---|---|
2568 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{8}$ | 0.7441 | 0.9354 | 0.7955 | [M:[1.0606, 0.8183, 0.8789, 1.0, 1.0, 0.8789, 0.7119, 0.9394], q:[0.5303, 0.4092], qb:[0.5908, 0.5908], phi:[0.4697]] | t^2.136 + t^2.455 + 2*t^2.637 + 2*t^2.818 + 2*t^3. + t^4.228 + t^4.272 + 2*t^4.409 + 2*t^4.591 + 4*t^4.772 + t^4.91 + 5*t^4.954 + 2*t^5.092 + 2*t^5.136 + 5*t^5.273 + 4*t^5.455 + 6*t^5.637 + 2*t^5.818 - 3*t^6. - t^4.409/y - t^4.409*y | detail | |
2566 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{8}$ | 0.74 | 0.9294 | 0.7963 | [M:[1.0565, 0.8305, 0.8578, 1.0292, 0.9708, 0.9162, 0.6978, 0.9708], q:[0.5283, 0.4152], qb:[0.614, 0.5555], phi:[0.4717]] | t^2.093 + t^2.491 + t^2.573 + t^2.749 + t^2.83 + 2*t^2.912 + t^3.17 + t^4.187 + t^4.246 + t^4.328 + t^4.503 + 2*t^4.585 + 2*t^4.667 + t^4.749 + 2*t^4.842 + 2*t^4.924 + t^4.983 + 2*t^5.006 + t^5.065 + t^5.099 + t^5.147 + t^5.24 + t^5.263 + 2*t^5.322 + 2*t^5.404 + 2*t^5.486 + t^5.497 + 3*t^5.661 + 2*t^5.743 + 2*t^5.825 - 3*t^6. - t^4.415/y - t^4.415*y | detail | |
2559 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ | 0.6978 | 0.8853 | 0.7882 | [M:[1.0837, 0.7488, 0.6872, 1.1453, 0.8547, 0.9779, 0.7931], q:[0.5419, 0.3744], qb:[0.7709, 0.4803], phi:[0.4581]] | t^2.062 + t^2.246 + t^2.379 + t^2.564 + t^2.749 + t^2.934 + t^3.251 + t^3.436 + t^3.938 + 2*t^4.123 + t^4.256 + t^4.308 + 2*t^4.441 + t^4.493 + 3*t^4.626 + t^4.758 + 2*t^4.81 + t^4.943 + 2*t^4.995 + 2*t^5.128 + t^5.18 + 3*t^5.313 + 3*t^5.498 + t^5.63 + t^5.682 + t^5.815 + t^5.867 - t^4.374/y - t^4.374*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 |
---|---|---|---|---|---|---|---|---|---|
952 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.7182 | 0.8876 | 0.8092 | [M:[1.0601, 0.8198, 0.8798, 1.0, 1.0, 0.8798], q:[0.53, 0.4099], qb:[0.5901, 0.5901], phi:[0.47]] | t^2.459 + 2*t^2.64 + t^2.82 + 2*t^3. + t^3.18 + t^3.869 + t^4.23 + 2*t^4.41 + t^4.59 + 2*t^4.77 + t^4.919 + 3*t^4.951 + 2*t^5.099 + 4*t^5.279 + 2*t^5.459 + 5*t^5.64 + 2*t^5.82 - 2*t^6. - t^4.41/y - t^4.41*y | detail |