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 |
---|---|---|---|---|---|---|---|---|---|
4771 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{8}\phi_{1}^{2}$ | 0.69 | 0.8709 | 0.7922 | [M:[0.9757, 0.816, 0.9757, 0.816, 1.184, 0.7361, 0.7361, 1.1042], q:[0.6164, 0.408], qb:[0.408, 0.776], phi:[0.4479]] | [M:[[-22], [-2], [-22], [-2], [2], [8], [8], [12]], q:[[23], [-1]], qb:[[-1], [3]], phi:[[-6]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{6}$, ${ }M_{7}$, ${ }M_{2}$, ${ }M_{4}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{8}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}M_{6}$, ${ }M_{4}M_{6}$, ${ }M_{2}M_{7}$, ${ }M_{4}M_{7}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{3}M_{6}$, ${ }M_{1}M_{7}$, ${ }M_{3}M_{7}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{3}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{6}M_{8}$, ${ }M_{7}M_{8}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{5}M_{6}$, ${ }M_{5}M_{7}$, ${ }M_{2}M_{8}$, ${ }M_{4}M_{8}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$ | ${}M_{6}\phi_{1}q_{2}^{2}$, ${ }M_{7}\phi_{1}q_{2}^{2}$ | -1 | 2*t^2.208 + 2*t^2.448 + 2*t^2.927 + t^3.313 + t^3.552 + t^3.792 + t^4.177 + 5*t^4.417 + 4*t^4.656 + 3*t^4.896 + t^5.042 + 4*t^5.135 + 2*t^5.375 + 2*t^5.521 + 4*t^5.76 + 3*t^5.854 - t^6. + 2*t^6.24 + 2*t^6.386 + t^6.479 + 8*t^6.625 + 8*t^6.865 + 5*t^7.104 + 2*t^7.25 + 9*t^7.344 + 2*t^7.49 + 4*t^7.583 + 4*t^7.729 + 2*t^7.823 + 6*t^7.969 + 6*t^8.062 - 2*t^8.208 + 3*t^8.302 + t^8.354 - 3*t^8.448 + 4*t^8.594 + 3*t^8.687 + 4*t^8.781 + 11*t^8.833 - 7*t^8.927 - t^4.344/y - (2*t^6.552)/y - t^6.792/y - (2*t^7.271)/y + (3*t^7.417)/y + (4*t^7.656)/y + (2*t^7.896)/y + (6*t^8.135)/y + (4*t^8.375)/y + (2*t^8.521)/y + t^8.76/y + t^8.854/y - t^4.344*y - 2*t^6.552*y - t^6.792*y - 2*t^7.271*y + 3*t^7.417*y + 4*t^7.656*y + 2*t^7.896*y + 6*t^8.135*y + 4*t^8.375*y + 2*t^8.521*y + t^8.76*y + t^8.854*y | 2*g1^8*t^2.208 + (2*t^2.448)/g1^2 + (2*t^2.927)/g1^22 + g1^12*t^3.313 + g1^2*t^3.552 + t^3.792/g1^8 + g1^26*t^4.177 + 5*g1^16*t^4.417 + 4*g1^6*t^4.656 + (3*t^4.896)/g1^4 + g1^40*t^5.042 + (4*t^5.135)/g1^14 + (2*t^5.375)/g1^24 + 2*g1^20*t^5.521 + 4*g1^10*t^5.76 + (3*t^5.854)/g1^44 - t^6. + (2*t^6.24)/g1^10 + 2*g1^34*t^6.386 + t^6.479/g1^20 + 8*g1^24*t^6.625 + 8*g1^14*t^6.865 + 5*g1^4*t^7.104 + 2*g1^48*t^7.25 + (9*t^7.344)/g1^6 + 2*g1^38*t^7.49 + (4*t^7.583)/g1^16 + 4*g1^28*t^7.729 + (2*t^7.823)/g1^26 + 6*g1^18*t^7.969 + (6*t^8.062)/g1^36 - 2*g1^8*t^8.208 + (3*t^8.302)/g1^46 + g1^52*t^8.354 - (3*t^8.448)/g1^2 + 4*g1^42*t^8.594 + (3*t^8.687)/g1^12 + (4*t^8.781)/g1^66 + 11*g1^32*t^8.833 - (7*t^8.927)/g1^22 - t^4.344/(g1^6*y) - (2*g1^2*t^6.552)/y - t^6.792/(g1^8*y) - (2*t^7.271)/(g1^28*y) + (3*g1^16*t^7.417)/y + (4*g1^6*t^7.656)/y + (2*t^7.896)/(g1^4*y) + (6*t^8.135)/(g1^14*y) + (4*t^8.375)/(g1^24*y) + (2*g1^20*t^8.521)/y + (g1^10*t^8.76)/y + t^8.854/(g1^44*y) - (t^4.344*y)/g1^6 - 2*g1^2*t^6.552*y - (t^6.792*y)/g1^8 - (2*t^7.271*y)/g1^28 + 3*g1^16*t^7.417*y + 4*g1^6*t^7.656*y + (2*t^7.896*y)/g1^4 + (6*t^8.135*y)/g1^14 + (4*t^8.375*y)/g1^24 + 2*g1^20*t^8.521*y + g1^10*t^8.76*y + (t^8.854*y)/g1^44 |
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 |
---|---|---|---|---|---|---|---|---|
6412 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{8}\phi_{1}^{2}$ + ${ }M_{9}\phi_{1}q_{2}^{2}$ | 0.7096 | 0.9074 | 0.7819 | [M:[0.9825, 0.8166, 0.9825, 0.8166, 1.1834, 0.7336, 0.7336, 1.1004, 0.7336], q:[0.6092, 0.4083], qb:[0.4083, 0.7751], phi:[0.4498]] | 3*t^2.201 + 2*t^2.45 + 2*t^2.948 + t^3.301 + t^3.55 + t^4.153 + 8*t^4.402 + 6*t^4.651 + 3*t^4.9 + t^5.004 + 6*t^5.148 + 2*t^5.397 + 3*t^5.502 + 5*t^5.751 + 3*t^5.895 - 3*t^6. - t^4.349/y - t^4.349*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 |
---|---|---|---|---|---|---|---|---|---|
2645 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ | 0.7 | 0.8875 | 0.7887 | [M:[0.9506, 0.8137, 0.9506, 0.8137, 1.1863, 0.7452, 0.7452], q:[0.6426, 0.4068], qb:[0.4068, 0.7795], phi:[0.4411]] | 2*t^2.236 + 2*t^2.441 + t^2.646 + 2*t^2.852 + t^3.559 + t^3.764 + t^4.266 + 5*t^4.471 + 4*t^4.677 + 5*t^4.882 + 6*t^5.087 + t^5.179 + 3*t^5.293 + 2*t^5.498 + 3*t^5.704 + 2*t^5.795 - t^6. - t^4.323/y - t^4.323*y | detail |