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 |
---|---|---|---|---|---|---|---|---|---|
57663 | SU3adj1nf2 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$ | 1.0754 | 1.202 | 0.8947 | [X:[1.4957], M:[], q:[0.3246, 1.0725], qb:[0.6754, 0.4145], phi:[0.2522]] | [X:[[2]], M:[], q:[[4], [5]], qb:[[-4], [1]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}^{6}$, ${ }\phi_{1}^{3}q_{1}^{3}$, ${ }\phi_{1}q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{4}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{2}q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$ | ${}\phi_{1}^{5}q_{1}\tilde{q}_{2}$ | 0 | t^2.22 + t^2.27 + t^2.97 + t^3. + t^3.73 + t^4.43 + t^4.46 + 2*t^4.49 + t^4.54 + 2*t^5.19 + t^5.22 + 2*t^5.24 + t^5.27 + t^5.92 + 2*t^5.95 + t^5.97 + t^6.65 + t^6.68 + 3*t^6.7 + t^6.73 + t^6.76 - t^6.78 + t^6.81 + 2*t^7.41 + 2*t^7.43 + 4*t^7.46 + 2*t^7.49 + t^7.51 + t^8.14 + 3*t^8.17 + 3*t^8.19 + t^8.22 + t^8.27 - t^8.3 + t^8.87 + 2*t^8.9 + 6*t^8.92 + 2*t^8.95 - 2*t^8.97 + t^8.27/y^2 - t^8.97/y^2 - t^3.76/y - t^4.51/y - t^5.97/y - t^6.03/y - t^6.73/y - t^6.76/y - t^6.78/y + t^8.27/y - t^8.3/y - t^3.76*y - t^4.51*y - t^5.97*y - t^6.03*y - t^6.73*y - t^6.76*y - t^6.78*y + t^8.27*y - t^8.3*y + t^8.27*y^2 - t^8.97*y^2 | g1^5*t^2.22 + t^2.27/g1^3 + g1^4*t^2.97 + t^3. + g1^3*t^3.73 + g1^10*t^4.43 + g1^6*t^4.46 + 2*g1^2*t^4.49 + t^4.54/g1^6 + 2*g1^9*t^5.19 + g1^5*t^5.22 + 2*g1*t^5.24 + t^5.27/g1^3 + g1^12*t^5.92 + 2*g1^8*t^5.95 + g1^4*t^5.97 + g1^15*t^6.65 + g1^11*t^6.68 + 3*g1^7*t^6.7 + g1^3*t^6.73 + t^6.76/g1 - t^6.78/g1^5 + t^6.81/g1^9 + 2*g1^14*t^7.41 + 2*g1^10*t^7.43 + 4*g1^6*t^7.46 + 2*g1^2*t^7.49 + t^7.51/g1^2 + g1^17*t^8.14 + 3*g1^13*t^8.17 + 3*g1^9*t^8.19 + g1^5*t^8.22 + t^8.27/g1^3 - t^8.3/g1^7 + g1^20*t^8.87 + 2*g1^16*t^8.9 + 6*g1^12*t^8.92 + 2*g1^8*t^8.95 - 2*g1^4*t^8.97 + t^8.27/(g1^3*y^2) - (g1^4*t^8.97)/y^2 - t^3.76/(g1*y) - t^4.51/(g1^2*y) - (g1^4*t^5.97)/y - t^6.03/(g1^4*y) - (g1^3*t^6.73)/y - t^6.76/(g1*y) - t^6.78/(g1^5*y) + t^8.27/(g1^3*y) - t^8.3/(g1^7*y) - (t^3.76*y)/g1 - (t^4.51*y)/g1^2 - g1^4*t^5.97*y - (t^6.03*y)/g1^4 - g1^3*t^6.73*y - (t^6.76*y)/g1 - (t^6.78*y)/g1^5 + (t^8.27*y)/g1^3 - (t^8.3*y)/g1^7 + (t^8.27*y^2)/g1^3 - g1^4*t^8.97*y^2 |
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 |
---|---|---|---|---|---|---|---|---|
60567 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$ | 1.0754 | 1.1992 | 0.8968 | [X:[1.505], M:[0.99], q:[0.3434, 1.0959], qb:[0.6566, 0.4192], phi:[0.2475]] | t^2.23 + t^2.29 + t^2.97 + t^3. + t^3.77 + t^4.45 + 2*t^4.52 + t^4.55 + t^4.58 + t^5.2 + t^5.23 + 2*t^5.26 + t^5.29 + t^5.32 + t^5.94 + t^5.97 - t^3.74/y - t^4.48/y - t^5.97/y - t^3.74*y - t^4.48*y - t^5.97*y | detail | |
60690 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$ + ${ }M_{1}\phi_{1}^{3}$ | 1.0567 | 1.1697 | 0.9034 | [X:[1.4923], M:[1.2385], q:[0.3179, 1.0641], qb:[0.6821, 0.4128], phi:[0.2538]] | t^2.19 + t^2.95 + t^3. + 2*t^3.72 + t^4.38 + t^4.43 + t^4.48 + 2*t^5.15 + t^5.19 + t^5.24 + t^5.86 + 3*t^5.91 + t^5.95 - t^6. - t^3.76/y - t^4.52/y - t^5.95/y - t^3.76*y - t^4.52*y - t^5.95*y | detail | |
60715 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$ + ${ }M_{1}q_{1}\tilde{q}_{2}$ | 1.0562 | 1.1653 | 0.9063 | [X:[1.5008], M:[1.2479], q:[0.335, 1.0854], qb:[0.665, 0.4171], phi:[0.2496]] | t^2.25 + t^3. + t^3.01 + t^3.74 + t^3.75 + t^4.49 + t^4.5 + t^4.51 + 3*t^5.25 + t^5.26 + t^5.99 - t^3.75/y - t^4.5/y - t^5.99/y - t^3.75*y - t^4.5*y - t^5.99*y | detail | |
58888 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$ + ${ }\phi_{1}q_{1}^{2}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{3}X_{2}$ | 1.0208 | 1.1042 | 0.9245 | [X:[1.5556, 1.3333], M:[], q:[0.4444, 1.2222], qb:[0.5556, 0.4444], phi:[0.2222]] | t^2.67 + t^3. + t^3.33 + 2*t^4. + t^4.67 + t^5. + 2*t^5.33 + t^5.67 + t^6. - t^3.67/y - t^4.33/y - t^3.67*y - t^4.33*y | detail | {a: 49/48, c: 53/48, X1: 14/9, X2: 4/3, q1: 4/9, q2: 11/9, qb1: 5/9, qb2: 4/9, phi1: 2/9} |
59476 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{3}X_{2}$ | 0.96 | 1.0225 | 0.9389 | [X:[1.6, 1.4], M:[], q:[0.5333, 1.3333], qb:[0.4667, 0.4667], phi:[0.2]] | 2*t^3. + t^3.6 + 2*t^4.2 + t^4.8 + 2*t^5.4 - t^3.6/y - t^4.2/y - t^3.6*y - t^4.2*y | detail | {a: 24/25, c: 409/400, X1: 8/5, X2: 7/5, q1: 8/15, q2: 4/3, qb1: 7/15, qb2: 7/15, phi1: 1/5} |
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 |
---|---|---|---|---|---|---|---|---|---|
47937 | SU3adj1nf2 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ | 1.0755 | 1.2031 | 0.8939 | [X:[1.493], q:[0.3263, 1.0728], qb:[0.6737, 0.4062], phi:[0.2535]] | t^2.198 + t^2.281 + t^2.958 + t^3. + t^3.719 + t^4.395 + t^4.437 + 2*t^4.479 + t^4.563 + t^5.156 + t^5.198 + 2*t^5.219 + 2*t^5.24 + 2*t^5.916 + 2*t^5.937 + t^5.958 - t^6. - t^3.76/y - t^4.521/y - t^5.958/y - t^3.76*y - t^4.521*y - t^5.958*y | detail |