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 |
---|---|---|---|---|---|---|---|---|---|
55380 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}^{2}$ + ${ }M_{4}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$ | 0.7291 | 0.9105 | 0.8008 | [M:[0.8539, 0.9026, 1.0487, 1.0, 1.0, 0.6704], q:[0.573, 0.573], qb:[0.5243, 0.427], phi:[0.4757]] | [M:[[6], [4], [-2], [0], [0], [-7]], q:[[-3], [-3]], qb:[[-1], [3]], phi:[[1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{6}$, ${ }M_{1}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{5}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{6}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{6}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{1}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{1}M_{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{3}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$ | ${}M_{4}M_{5}$, ${ }M_{2}q_{2}\tilde{q}_{1}$ | -1 | t^2.011 + t^2.562 + t^2.708 + t^2.854 + 2*t^3. + t^3.146 + t^3.292 + t^4.022 + t^4.281 + 2*t^4.427 + 2*t^4.573 + 3*t^4.719 + 4*t^4.865 + 2*t^5.011 + t^5.124 + t^5.157 + t^5.27 + t^5.303 + 2*t^5.416 + t^5.562 + 3*t^5.708 + 2*t^5.854 - t^6. + t^6.034 + t^6.146 + 2*t^6.292 + t^6.438 + 3*t^6.584 + 3*t^6.73 + t^6.843 + 4*t^6.876 + t^6.989 + 2*t^7.022 + 3*t^7.135 + t^7.168 + 4*t^7.281 + t^7.315 + 6*t^7.427 + 5*t^7.573 + t^7.685 + 6*t^7.719 + t^7.832 + 5*t^7.865 + 2*t^7.978 + t^8.045 + 2*t^8.124 + 2*t^8.157 + 2*t^8.27 + 2*t^8.303 + 2*t^8.416 + t^8.449 - t^8.562 + 3*t^8.595 - 2*t^8.708 + 3*t^8.741 - t^8.854 + 4*t^8.888 - t^4.427/y - t^6.438/y - t^6.989/y - t^7.135/y + t^7.573/y + (2*t^7.719)/y + (2*t^7.865)/y + (2*t^8.011)/y + t^8.157/y + t^8.27/y + t^8.303/y + (2*t^8.416)/y - t^8.449/y + (3*t^8.562)/y + (3*t^8.708)/y + (4*t^8.854)/y - t^4.427*y - t^6.438*y - t^6.989*y - t^7.135*y + t^7.573*y + 2*t^7.719*y + 2*t^7.865*y + 2*t^8.011*y + t^8.157*y + t^8.27*y + t^8.303*y + 2*t^8.416*y - t^8.449*y + 3*t^8.562*y + 3*t^8.708*y + 4*t^8.854*y | t^2.011/g1^7 + g1^6*t^2.562 + g1^4*t^2.708 + g1^2*t^2.854 + 2*t^3. + t^3.146/g1^2 + t^3.292/g1^4 + t^4.022/g1^14 + g1^3*t^4.281 + 2*g1*t^4.427 + (2*t^4.573)/g1 + (3*t^4.719)/g1^3 + (4*t^4.865)/g1^5 + (2*t^5.011)/g1^7 + g1^12*t^5.124 + t^5.157/g1^9 + g1^10*t^5.27 + t^5.303/g1^11 + 2*g1^8*t^5.416 + g1^6*t^5.562 + 3*g1^4*t^5.708 + 2*g1^2*t^5.854 - t^6. + t^6.034/g1^21 + t^6.146/g1^2 + (2*t^6.292)/g1^4 + t^6.438/g1^6 + (3*t^6.584)/g1^8 + (3*t^6.73)/g1^10 + g1^9*t^6.843 + (4*t^6.876)/g1^12 + g1^7*t^6.989 + (2*t^7.022)/g1^14 + 3*g1^5*t^7.135 + t^7.168/g1^16 + 4*g1^3*t^7.281 + t^7.315/g1^18 + 6*g1*t^7.427 + (5*t^7.573)/g1 + g1^18*t^7.685 + (6*t^7.719)/g1^3 + g1^16*t^7.832 + (5*t^7.865)/g1^5 + 2*g1^14*t^7.978 + t^8.045/g1^28 + 2*g1^12*t^8.124 + (2*t^8.157)/g1^9 + 2*g1^10*t^8.27 + (2*t^8.303)/g1^11 + 2*g1^8*t^8.416 + t^8.449/g1^13 - g1^6*t^8.562 + (3*t^8.595)/g1^15 - 2*g1^4*t^8.708 + (3*t^8.741)/g1^17 - g1^2*t^8.854 + (4*t^8.888)/g1^19 - (g1*t^4.427)/y - t^6.438/(g1^6*y) - (g1^7*t^6.989)/y - (g1^5*t^7.135)/y + t^7.573/(g1*y) + (2*t^7.719)/(g1^3*y) + (2*t^7.865)/(g1^5*y) + (2*t^8.011)/(g1^7*y) + t^8.157/(g1^9*y) + (g1^10*t^8.27)/y + t^8.303/(g1^11*y) + (2*g1^8*t^8.416)/y - t^8.449/(g1^13*y) + (3*g1^6*t^8.562)/y + (3*g1^4*t^8.708)/y + (4*g1^2*t^8.854)/y - g1*t^4.427*y - (t^6.438*y)/g1^6 - g1^7*t^6.989*y - g1^5*t^7.135*y + (t^7.573*y)/g1 + (2*t^7.719*y)/g1^3 + (2*t^7.865*y)/g1^5 + (2*t^8.011*y)/g1^7 + (t^8.157*y)/g1^9 + g1^10*t^8.27*y + (t^8.303*y)/g1^11 + 2*g1^8*t^8.416*y - (t^8.449*y)/g1^13 + 3*g1^6*t^8.562*y + 3*g1^4*t^8.708*y + 4*g1^2*t^8.854*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 |
---|---|---|---|---|---|---|---|---|
56993 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}^{2}$ + ${ }M_{4}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{1}X_{1}$ | 0.6674 | 0.8202 | 0.8137 | [X:[1.3333], M:[0.6667, 0.7778, 1.1111, 1.0, 1.0, 0.8889], q:[0.6667, 0.6667], qb:[0.5556, 0.3333], phi:[0.4444]] | t^2.333 + 2*t^2.667 + 2*t^3. + t^3.333 + t^3.667 + 2*t^4. + 2*t^4.333 + 2*t^4.667 + 2*t^5. + 7*t^5.333 + 3*t^5.667 - t^4.333/y - t^4.333*y | detail | {a: 865/1296, c: 1063/1296, X1: 4/3, M1: 2/3, M2: 7/9, M3: 10/9, M4: 1, M5: 1, M6: 8/9, q1: 2/3, q2: 2/3, qb1: 5/9, qb2: 1/3, phi1: 4/9} |
56994 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}^{2}$ + ${ }M_{4}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ | 0.7103 | 0.8864 | 0.8013 | [M:[0.7273, 0.8182, 1.0909, 1.0, 1.0, 0.8182], q:[0.6364, 0.6364], qb:[0.5455, 0.3636], phi:[0.4545]] | t^2.182 + 2*t^2.455 + t^2.727 + 2*t^3. + t^3.273 + t^3.545 + t^4.091 + 3*t^4.364 + 3*t^4.636 + 6*t^4.909 + 5*t^5.182 + 5*t^5.455 + 3*t^5.727 - t^4.364/y - t^4.364*y | detail | {a: 7563/10648, c: 18877/21296, M1: 8/11, M2: 9/11, M3: 12/11, M4: 1, M5: 1, M6: 9/11, q1: 7/11, q2: 7/11, qb1: 6/11, qb2: 4/11, phi1: 5/11} |
56992 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}^{2}$ + ${ }M_{4}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}^{2}$ + ${ }M_{1}X_{1}$ | 0.6194 | 0.7622 | 0.8126 | [X:[1.4286], M:[0.5714, 0.7143, 1.1429, 1.0, 1.0, 1.0], q:[0.7143, 0.7143], qb:[0.5714, 0.2857], phi:[0.4286]] | t^2.143 + t^2.571 + 3*t^3. + t^3.429 + 2*t^3.857 + 4*t^4.286 + 5*t^5.143 + 5*t^5.571 + t^6. - t^4.286/y - t^4.286*y | detail | {a: 3399/5488, c: 4183/5488, X1: 10/7, M1: 4/7, M2: 5/7, M3: 8/7, M4: 1, M5: 1, M6: 1, q1: 5/7, q2: 5/7, qb1: 4/7, qb2: 2/7, phi1: 3/7} |
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 |
---|---|---|---|---|---|---|---|---|---|
46848 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}^{2}$ + ${ }M_{4}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ | 0.7083 | 0.8692 | 0.8149 | [M:[0.8525, 0.9016, 1.0492, 1.0, 1.0], q:[0.5738, 0.5738], qb:[0.5246, 0.4262], phi:[0.4754]] | t^2.557 + t^2.705 + t^2.852 + 2*t^3. + t^3.148 + t^3.295 + t^3.984 + t^4.279 + 2*t^4.426 + t^4.574 + 2*t^4.721 + 3*t^4.869 + t^5.115 + t^5.262 + 2*t^5.41 + t^5.557 + 3*t^5.705 + 2*t^5.852 - t^6. - t^4.426/y - t^4.426*y | detail |