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 |
---|---|---|---|---|---|---|---|---|---|
75468 | SU2adj2nf1 | ${}M_{1}\phi_{1}^{2}$ | 0.7764 | 0.8492 | 0.9143 | [X:[], M:[0.7671], q:[0.6274], qb:[0.6274], phi:[0.6164, 0.5699], S:[], Sb:[], A:[], Ab:[]] | [X:[], M:[[2, 2, 2]], q:[[0, 4, 0]], qb:[[0, 0, 4]], phi:[[-1, -1, -1], [1, 0, 0]], S:[], Sb:[], A:[], Ab:[]] | 3 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }\phi_{2}^{2}$, ${ }\phi_{1}\phi_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }\phi_{2}q_{1}^{2}$, ${ }\phi_{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}\phi_{2}^{2}$ | ${}$ | -5 | t^2.301 + t^3.419 + t^3.559 + t^3.764 + t^4.603 + 3*t^5.474 + 3*t^5.614 + t^5.72 - 5*t^6. + t^6.066 - t^6.14 + t^6.838 + t^6.904 + t^6.978 + t^7.118 + t^7.184 + 4*t^7.323 + t^7.529 - 4*t^7.71 + 3*t^7.775 - 4*t^7.849 + t^8.022 - 3*t^8.055 + 3*t^8.236 - 5*t^8.301 + t^8.367 + 3*t^8.893 - t^4.71/y - t^4.849/y - t^7.011/y + t^7.29/y - t^8.129/y - t^8.268/y + t^8.72/y + t^8.86/y - t^4.71*y - t^4.849*y - t^7.011*y + t^7.29*y - t^8.129*y - t^8.268*y + t^8.72*y + t^8.86*y | g1^2*g2^2*g3^2*t^2.301 + g1^2*t^3.419 + t^3.559/(g2*g3) + g2^4*g3^4*t^3.764 + g1^4*g2^4*g3^4*t^4.603 + g1*g2^8*t^5.474 + g1*g2^4*g3^4*t^5.474 + g1*g3^8*t^5.474 + (g2^7*t^5.614)/(g1*g3) + (g2^3*g3^3*t^5.614)/g1 + (g3^7*t^5.614)/(g1*g2) + g1^4*g2^2*g3^2*t^5.72 - 3*t^6. - (g2^4*t^6.)/g3^4 - (g3^4*t^6.)/g2^4 + g1^2*g2^6*g3^6*t^6.066 - t^6.14/(g1^2*g2*g3) + g1^4*t^6.838 + g1^6*g2^6*g3^6*t^6.904 + (g1^2*t^6.978)/(g2*g3) + t^7.118/(g2^2*g3^2) + g1^2*g2^4*g3^4*t^7.184 + (g2^7*t^7.323)/g3 + 2*g2^3*g3^3*t^7.323 + (g3^7*t^7.323)/g2 + g2^8*g3^8*t^7.529 - 2*g1*t^7.71 - (g1*g2^4*t^7.71)/g3^4 - (g1*g3^4*t^7.71)/g2^4 + g1^3*g2^10*g3^2*t^7.775 + g1^3*g2^6*g3^6*t^7.775 + g1^3*g2^2*g3^10*t^7.775 - (g2^3*t^7.849)/(g1*g3^5) - (2*t^7.849)/(g1*g2*g3) - (g3^3*t^7.849)/(g1*g2^5) + g1^6*g2^4*g3^4*t^8.022 - (g2^8*t^8.055)/g1 - (g2^4*g3^4*t^8.055)/g1 - (g3^8*t^8.055)/g1 + t^8.236/g2^8 + t^8.236/g3^8 + t^8.236/(g2^4*g3^4) - (g1^2*g2^6*t^8.301)/g3^2 - 3*g1^2*g2^2*g3^2*t^8.301 - (g1^2*g3^6*t^8.301)/g2^2 + g1^4*g2^8*g3^8*t^8.367 + g1^3*g2^8*t^8.893 + g1^3*g2^4*g3^4*t^8.893 + g1^3*g3^8*t^8.893 - (g1*t^4.71)/y - t^4.849/(g1*g2*g3*y) - (g1^3*g2^2*g3^2*t^7.011)/y + t^7.29/(g1*y) - (g1^3*t^8.129)/y - (g1*t^8.268)/(g2*g3*y) + (g1^4*g2^2*g3^2*t^8.72)/y + (g1^2*g2*g3*t^8.86)/y - g1*t^4.71*y - (t^4.849*y)/(g1*g2*g3) - g1^3*g2^2*g3^2*t^7.011*y + (t^7.29*y)/g1 - g1^3*t^8.129*y - (g1*t^8.268*y)/(g2*g3) + g1^4*g2^2*g3^2*t^8.72*y + g1^2*g2*g3*t^8.86*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 |
---|---|---|---|---|---|---|---|---|
75473 | ${}M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{2}^{2}$ | 0.7908 | 0.8752 | 0.9035 | [X:[], M:[0.807, 0.807], q:[0.614], qb:[0.614], phi:[0.5965, 0.5965], S:[], Sb:[], A:[], Ab:[]] | 2*t^2.421 + t^3.579 + t^3.684 + 3*t^4.842 + 6*t^5.474 - 5*t^6. - (2*t^4.789)/y - 2*t^4.789*y | detail | {a: 13703/17328, c: 7583/8664, M1: 46/57, M2: 46/57, q1: 35/57, qb1: 35/57, phi1: 34/57, phi2: 34/57} |
75488 | ${}M_{1}\phi_{1}^{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ | 0.7963 | 0.8841 | 0.9007 | [X:[], M:[0.7736, 0.7115], q:[0.6442], qb:[0.6442], phi:[0.6132, 0.5647], S:[], Sb:[], A:[], Ab:[]] | t^2.135 + t^2.321 + t^3.388 + t^3.534 + t^4.269 + t^4.455 + t^4.642 + t^5.523 + 3*t^5.559 + t^5.668 + 3*t^5.705 + t^5.709 - 5*t^6. - t^4.694/y - t^4.84/y - t^4.694*y - t^4.84*y | detail | |
75492 | ${}M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{1}$ | 0.7704 | 0.8338 | 0.9239 | [X:[], M:[0.7599], q:[0.69], qb:[0.69], phi:[0.6201, 0.535], S:[], Sb:[], A:[], Ab:[]] | t^2.28 + t^3.21 + t^3.465 + t^4.14 + t^4.559 + t^5.489 + 3*t^5.745 - 2*t^6. - t^4.605/y - t^4.86/y - t^4.605*y - t^4.86*y | detail | |
75475 | ${}M_{1}\phi_{1}^{2}$ + ${ }\phi_{2}q_{1}\tilde{q}_{1}$ | 0.7643 | 0.8179 | 0.9344 | [X:[], M:[0.8507], q:[0.7164], qb:[0.7164], phi:[0.5747, 0.5671], S:[], Sb:[], A:[], Ab:[]] | t^2.552 + t^3.403 + t^3.425 + t^4.299 + t^5.104 + t^5.955 - 2*t^6. - t^4.701/y - t^4.724/y - t^4.701*y - t^4.724*y | detail | |
75476 | ${}M_{1}\phi_{1}^{2}$ + ${ }\phi_{2}q_{1}^{2}$ | 0.7712 | 0.8358 | 0.9227 | [X:[], M:[0.8021], q:[0.7159], qb:[0.6156], phi:[0.5989, 0.5682], S:[], Sb:[], A:[], Ab:[]] | t^2.406 + t^3.409 + t^3.501 + t^3.995 + t^4.813 + t^5.398 + t^5.491 + t^5.791 + t^5.815 - 2*t^6. - t^4.705/y - t^4.797/y - t^4.705*y - t^4.797*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 |
---|---|---|---|---|---|---|---|---|---|
75466 | SU2adj2nf1 | ${}$ | 0.7594 | 0.8162 | 0.9304 | [X:[], M:[], q:[0.6364], qb:[0.6364], phi:[0.5909, 0.5909], S:[], Sb:[], A:[], Ab:[]] | 3*t^3.545 + t^3.818 + 6*t^5.591 - 7*t^6. - (2*t^4.773)/y - 2*t^4.773*y | detail |