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 |
---|---|---|---|---|---|---|---|---|---|
56080 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{1}M_{6}$ + ${ }M_{2}M_{7}$ | 0.6469 | 0.8121 | 0.7965 | [M:[1.2069, 0.8276, 0.7931, 0.7816, 0.7931, 0.7931, 1.1724], q:[0.3908, 0.4023], qb:[0.7816, 0.8161], phi:[0.4023]] | [M:[[3], [12], [-3], [-8], [-3], [-3], [-12]], q:[[-4], [1]], qb:[[-8], [7]], phi:[[1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{3}$, ${ }M_{5}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{7}$, ${ }\phi_{1}q_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{7}$, ${ }M_{3}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{4}\phi_{1}q_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}q_{1}^{2}$, ${ }M_{6}\phi_{1}q_{1}^{2}$, ${ }M_{4}\phi_{1}q_{1}q_{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{1}^{2}$, ${ }M_{5}\phi_{1}q_{1}q_{2}$, ${ }M_{6}\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ | ${}\phi_{1}^{3}q_{1}q_{2}$ | -2 | t^2.345 + 3*t^2.379 + t^2.414 + t^3.517 + 2*t^3.552 + t^3.586 + t^4.69 + 3*t^4.724 + 7*t^4.759 + 4*t^4.793 + t^4.828 + t^5.862 + 5*t^5.896 + 7*t^5.931 + 3*t^5.965 - 2*t^6. - 2*t^6.035 - t^6.069 + 2*t^7.034 + 5*t^7.069 + 10*t^7.103 + 13*t^7.138 + 6*t^7.172 - 2*t^7.241 - t^7.276 + t^8.207 + 5*t^8.241 + 13*t^8.276 + 15*t^8.31 + 4*t^8.345 - 9*t^8.379 - 10*t^8.414 - 6*t^8.448 - t^8.483 - t^4.207/y - t^6.552/y - (2*t^6.586)/y - t^6.621/y + (3*t^7.724)/y + (4*t^7.759)/y + (4*t^7.793)/y + (2*t^7.828)/y + t^7.862/y + t^8.862/y + (4*t^8.896)/y + (6*t^8.931)/y + t^8.965/y - t^4.207*y - t^6.552*y - 2*t^6.586*y - t^6.621*y + 3*t^7.724*y + 4*t^7.759*y + 4*t^7.793*y + 2*t^7.828*y + t^7.862*y + t^8.862*y + 4*t^8.896*y + 6*t^8.931*y + t^8.965*y | t^2.345/g1^8 + (3*t^2.379)/g1^3 + g1^2*t^2.414 + t^3.517/g1^12 + (2*t^3.552)/g1^7 + t^3.586/g1^2 + t^4.69/g1^16 + (3*t^4.724)/g1^11 + (7*t^4.759)/g1^6 + (4*t^4.793)/g1 + g1^4*t^4.828 + t^5.862/g1^20 + (5*t^5.896)/g1^15 + (7*t^5.931)/g1^10 + (3*t^5.965)/g1^5 - 2*t^6. - 2*g1^5*t^6.035 - g1^10*t^6.069 + (2*t^7.034)/g1^24 + (5*t^7.069)/g1^19 + (10*t^7.103)/g1^14 + (13*t^7.138)/g1^9 + (6*t^7.172)/g1^4 - 2*g1^6*t^7.241 - g1^11*t^7.276 + t^8.207/g1^28 + (5*t^8.241)/g1^23 + (13*t^8.276)/g1^18 + (15*t^8.31)/g1^13 + (4*t^8.345)/g1^8 - (9*t^8.379)/g1^3 - 10*g1^2*t^8.414 - 6*g1^7*t^8.448 - g1^12*t^8.483 - (g1*t^4.207)/y - t^6.552/(g1^7*y) - (2*t^6.586)/(g1^2*y) - (g1^3*t^6.621)/y + (3*t^7.724)/(g1^11*y) + (4*t^7.759)/(g1^6*y) + (4*t^7.793)/(g1*y) + (2*g1^4*t^7.828)/y + (g1^9*t^7.862)/y + t^8.862/(g1^20*y) + (4*t^8.896)/(g1^15*y) + (6*t^8.931)/(g1^10*y) + t^8.965/(g1^5*y) - g1*t^4.207*y - (t^6.552*y)/g1^7 - (2*t^6.586*y)/g1^2 - g1^3*t^6.621*y + (3*t^7.724*y)/g1^11 + (4*t^7.759*y)/g1^6 + (4*t^7.793*y)/g1 + 2*g1^4*t^7.828*y + g1^9*t^7.862*y + (t^8.862*y)/g1^20 + (4*t^8.896*y)/g1^15 + (6*t^8.931*y)/g1^10 + (t^8.965*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 |
---|---|---|---|---|---|---|---|---|
58227 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{1}M_{6}$ + ${ }M_{2}M_{7}$ + ${ }M_{8}\phi_{1}q_{1}q_{2}$ | 0.6632 | 0.8397 | 0.7897 | [M:[1.2044, 0.8175, 0.7956, 0.7883, 0.7956, 0.7956, 1.1825, 0.8029], q:[0.3942, 0.4015], qb:[0.7883, 0.8102], phi:[0.4015]] | t^2.365 + 3*t^2.387 + 2*t^2.409 + t^3.548 + 2*t^3.569 + t^4.73 + 3*t^4.752 + 8*t^4.774 + 7*t^4.796 + 3*t^4.817 + t^5.913 + 5*t^5.934 + 7*t^5.956 + 2*t^5.978 - 3*t^6. - t^4.204/y - t^4.204*y | detail | |
58226 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{1}M_{6}$ + ${ }M_{2}M_{7}$ + ${ }M_{8}\phi_{1}^{2}$ | 0.6307 | 0.7848 | 0.8036 | [M:[1.2095, 0.8378, 0.7905, 0.7748, 0.7905, 0.7905, 1.1622, 1.1937], q:[0.3874, 0.4032], qb:[0.7748, 0.8221], phi:[0.4032]] | t^2.324 + 3*t^2.372 + t^3.487 + 2*t^3.534 + 2*t^3.581 + t^4.649 + 3*t^4.696 + 6*t^4.743 + t^4.791 + t^5.811 + 5*t^5.858 + 7*t^5.905 + 4*t^5.953 - 3*t^6. - t^4.209/y - t^4.209*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 |
---|---|---|---|---|---|---|---|---|---|
50898 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{1}M_{6}$ | 0.6634 | 0.8375 | 0.7921 | [M:[1.1939, 0.7755, 0.8061, 0.8163, 0.8061, 0.8061], q:[0.4082, 0.398], qb:[0.8163, 0.7857], phi:[0.398]] | t^2.327 + t^2.388 + 3*t^2.418 + t^2.449 + t^3.612 + 2*t^3.643 + t^4.653 + t^4.714 + 3*t^4.745 + 2*t^4.776 + 4*t^4.806 + 7*t^4.837 + 3*t^4.867 + t^4.898 - 2*t^6. - t^4.194/y - t^4.194*y | detail |