Landscape

Select a theory SU(2): 4 fund + 4 anti-fund (not completed) SU(2): 1 Adj + 1 fund + 1 anti-fund SU(2): 1 Adj + 2 fund + 2 anti-fund (not completed) SU(2): 1 Adj + 3 fund + 3 anti-fund (not completed) SU(2): 2 Adj SU(2): 2 Adj + 1 fund + 1 anti-fund SU(3): 1 Adj + 1 fund + 1 anti-fund SU(3): 1 Adj + 2 fund + 2 anti-fund (not completed) SU(5): 2 rank-2 symm + (conj.) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + (conj.) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 8 anti-fund (not completed) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm + 1 fund + 1 anti-fund SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 anti-symm + 8 anti-fund (not completed) SU(5): 1 Adj + 1 rank-2 anti-symm + 1 conj. of rank-2 anti-symm SU(5): 1 Adj + 1 rank-2 anti-symm + 1 conj. of rank-2 anti-symm + 1 fund + 1 anti-fund (not completed) SU(5): 1 rank-2 symm + 2 rank-2 anti-symm + (conj.) (not completed) SU(5): 1 rank-2 symm + 2 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 3 rank-2 anti-symm + (conj.) (not completed) SU(5): 3 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 2 Adj + 1 anti-symm + 1 conj. of rank-2 anti-symm (not completed) SU(5): 2 Adj + 1 anti-symm + 1 conj. of rank-2 anti-symm + 1 fund + 1 anti-fund (not completed) SU(6): 2 rank-2 symm + (conj.) SU(6): 2 rank-2 symm + 1 fund + (conj.) SU(6): 1 rank-2 symm + 1 rank-2 anti-symm + (conj.) SU(6): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(6): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm SU(6): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(7): 1 rank-2 symm + 2 conj. of rank-2 symm + 1 anti-symm + 8 fund (not completed) SU(7): 2 rank-2 symm + 1 fund + (conj.) (not completed) SU(8): 1 rank-2 symm + 2 conj. of rank-2 symm + 1 anti-symm + 9 fund + 1 anti-fund (not completed) SU(9): 2 rank-2 symm + 2 conj. of rank-2 anti-symm + 16 anti-fund (not completed) SU(9): 2 rank-2 symm + (conj.) (not completed) SU(9): 2 rank-2 symm + 1 fund (conj.) (not completed) SU(10): 2 rank-2 symm + 2 conj. of rank-2 anti-symm + 1 fund + 17 anti-fund (not completed) SO(5): 5 vector (not completed) SO(5): 1 Adj + 1 vector SO(5): 1 Adj + 2 vector SO(5): 1 rank-2 symm SO(5): 1 rank-2 symm + 1 vector SO(5): 1 rank-2 symm + 2 vector Sp(2): 1 Adj + 2 fund Sp(2): 1 14 + 2 fund Sp(2): 2 Adj Sp(2): 1 Adj + 2 rank-2 anti-symm + 8 fund (not completed) G2: 1 Adj + 1 fund E[USp(6)] (not completed) All theories Data used in arXiv:2408.02953

$a$ =

$c$ =

$\leq a \leq$

$\leq c \leq$

id =

Check if you want only theories with rational charges.

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
57271	SU3adj1nf2	${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$	1.474	1.6823	0.8761	[X:[1.3325], M:[0.6714], q:[0.4981, 0.5006], qb:[0.5019, 0.4968], phi:[0.3338]]	[X:[[0, 2]], M:[[0, -11]], q:[[-1, 12], [-1, 6]], qb:[[1, -12], [1, 0]], phi:[[0, -1]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}^{3}$, ${ }M_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$	${}$	-2	t^2.014 + t^2.984 + t^2.992 + t^3. + t^3.004 + t^3.008 + t^3.994 + t^3.997 + t^4.001 + t^4.009 + t^4.029 + t^4.987 + t^4.995 + t^4.999 + t^5.003 + t^5.006 + t^5.01 + t^5.014 + t^5.018 + t^5.022 + t^5.488 + t^5.492 + t^5.499 + t^5.503 + t^5.969 + t^5.977 + t^5.984 + t^5.988 + t^5.992 + t^5.996 - 2*t^6. + t^6.004 + 2*t^6.008 + 2*t^6.012 + t^6.016 + t^6.023 + t^6.043 + t^6.489 + t^6.493 + t^6.501 + t^6.505 + t^6.978 + t^6.982 + t^6.986 + t^6.99 + 2*t^6.994 + 2*t^6.997 + 2*t^7.001 + 2*t^7.005 + 2*t^7.009 + 2*t^7.013 + t^7.017 + t^7.021 + t^7.025 + t^7.029 + t^7.032 + t^7.036 + t^7.475 + t^7.486 + t^7.502 + t^7.506 + t^7.51 + t^7.514 + t^7.518 + t^7.521 + t^7.971 + 2*t^7.979 + 3*t^7.987 + 2*t^7.991 + 4*t^7.995 + 2*t^7.999 + 4*t^8.003 + 2*t^8.006 + 3*t^8.01 - t^8.014 + 2*t^8.018 + 2*t^8.022 + 2*t^8.026 + t^8.03 + t^8.038 + t^8.057 + t^8.472 + t^8.476 + t^8.484 + t^8.488 + t^8.492 + t^8.495 + t^8.503 + t^8.507 + t^8.953 + t^8.961 + t^8.969 + t^8.973 + t^8.977 + 2*t^8.981 - 3*t^8.984 + 3*t^8.988 - t^8.992 + 4*t^8.996 - t^4.001/y - t^5.003/y - t^6.016/y - t^6.986/y - t^6.994/y - t^7.001/y - t^7.005/y - t^7.009/y - t^7.017/y - t^7.995/y + t^7.999/y - t^8.003/y - t^8.01/y + t^8.014/y + t^8.018/y + t^8.022/y - t^8.03/y + t^8.977/y + t^8.984/y + t^8.988/y + (2*t^8.992)/y - t^4.001*y - t^5.003*y - t^6.016*y - t^6.986*y - t^6.994*y - t^7.001*y - t^7.005*y - t^7.009*y - t^7.017*y - t^7.995*y + t^7.999*y - t^8.003*y - t^8.01*y + t^8.014*y + t^8.018*y + t^8.022*y - t^8.03*y + t^8.977*y + t^8.984*y + t^8.988*y + 2*t^8.992*y	t^2.014/g2^11 + g2^12*t^2.984 + g2^6*t^2.992 + t^3. + t^3.004/g2^3 + t^3.008/g2^6 + g2^5*t^3.994 + g2^2*t^3.997 + t^4.001/g2 + t^4.009/g2^7 + t^4.029/g2^22 + g2^10*t^4.987 + g2^4*t^4.995 + g2*t^4.999 + t^5.003/g2^2 + t^5.006/g2^5 + t^5.01/g2^8 + t^5.014/g2^11 + t^5.018/g2^14 + t^5.022/g2^17 + (g1^3*t^5.488)/g2^13 + (g2^29*t^5.492)/g1^3 + (g2^23*t^5.499)/g1^3 + (g1^3*t^5.503)/g2^25 + g2^24*t^5.969 + g2^18*t^5.977 + g2^12*t^5.984 + g2^9*t^5.988 + g2^6*t^5.992 + g2^3*t^5.996 - 2*t^6. + t^6.004/g2^3 + (2*t^6.008)/g2^6 + (2*t^6.012)/g2^9 + t^6.016/g2^12 + t^6.023/g2^18 + t^6.043/g2^33 + (g1^3*t^6.489)/g2^14 + (g2^28*t^6.493)/g1^3 + (g2^22*t^6.501)/g1^3 + (g1^3*t^6.505)/g2^26 + g2^17*t^6.978 + g2^14*t^6.982 + g2^11*t^6.986 + g2^8*t^6.99 + 2*g2^5*t^6.994 + 2*g2^2*t^6.997 + (2*t^7.001)/g2 + (2*t^7.005)/g2^4 + (2*t^7.009)/g2^7 + (2*t^7.013)/g2^10 + t^7.017/g2^13 + t^7.021/g2^16 + t^7.025/g2^19 + t^7.029/g2^22 + t^7.032/g2^25 + t^7.036/g2^28 + (g1^3*t^7.475)/g2^3 + (g2^33*t^7.486)/g1^3 + (g1^3*t^7.49)/g2^15 - (g2^30*t^7.49)/g1^3 - (g1^3*t^7.494)/g2^18 + (g2^27*t^7.494)/g1^3 + (g2^21*t^7.502)/g1^3 + (g1^3*t^7.506)/g2^27 + (g2^15*t^7.51)/g1^3 + (g2^12*t^7.514)/g1^3 + (g1^3*t^7.518)/g2^36 + (g1^3*t^7.521)/g2^39 + g2^22*t^7.971 + 2*g2^16*t^7.979 + 3*g2^10*t^7.987 + 2*g2^7*t^7.991 + 4*g2^4*t^7.995 + 2*g2*t^7.999 + (4*t^8.003)/g2^2 + (2*t^8.006)/g2^5 + (3*t^8.01)/g2^8 - t^8.014/g2^11 + (2*t^8.018)/g2^14 + (2*t^8.022)/g2^17 + (2*t^8.026)/g2^20 + t^8.03/g2^23 + t^8.038/g2^29 + t^8.057/g2^44 + (g1^3*t^8.472)/g2 + (g2^41*t^8.476)/g1^3 + (g2^35*t^8.484)/g1^3 + (g1^3*t^8.488)/g2^13 + (g1^3*t^8.492)/g2^16 + (g2^26*t^8.495)/g1^3 + (g2^20*t^8.503)/g1^3 + (g1^3*t^8.507)/g2^28 + g2^36*t^8.953 + g2^30*t^8.961 + g2^24*t^8.969 + g2^21*t^8.973 + g2^18*t^8.977 + 2*g2^15*t^8.981 - 3*g2^12*t^8.984 + 3*g2^9*t^8.988 - g2^6*t^8.992 + 4*g2^3*t^8.996 - t^4.001/(g2*y) - t^5.003/(g2^2*y) - t^6.016/(g2^12*y) - (g2^11*t^6.986)/y - (g2^5*t^6.994)/y - t^7.001/(g2*y) - t^7.005/(g2^4*y) - t^7.009/(g2^7*y) - t^7.017/(g2^13*y) - (g2^4*t^7.995)/y + (g2*t^7.999)/y - t^8.003/(g2^2*y) - t^8.01/(g2^8*y) + t^8.014/(g2^11*y) + t^8.018/(g2^14*y) + t^8.022/(g2^17*y) - t^8.03/(g2^23*y) + (g2^18*t^8.977)/y + (g2^12*t^8.984)/y + (g2^9*t^8.988)/y + (2*g2^6*t^8.992)/y - (t^4.001*y)/g2 - (t^5.003*y)/g2^2 - (t^6.016*y)/g2^12 - g2^11*t^6.986*y - g2^5*t^6.994*y - (t^7.001*y)/g2 - (t^7.005*y)/g2^4 - (t^7.009*y)/g2^7 - (t^7.017*y)/g2^13 - g2^4*t^7.995*y + g2*t^7.999*y - (t^8.003*y)/g2^2 - (t^8.01*y)/g2^8 + (t^8.014*y)/g2^11 + (t^8.018*y)/g2^14 + (t^8.022*y)/g2^17 - (t^8.03*y)/g2^23 + g2^18*t^8.977*y + g2^12*t^8.984*y + g2^9*t^8.988*y + 2*g2^6*t^8.992*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
58168	${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{3}$	1.3856	1.5955	0.8685	[X:[1.2857], M:[0.9286], q:[0.3857, 0.5286], qb:[0.6143, 0.3286], phi:[0.3571]]	t^2.14 + t^2.57 + t^2.79 + t^3. + t^3.21 + t^3.43 + t^3.64 + t^3.86 + t^4.07 + 2*t^4.29 + t^4.5 + 2*t^4.71 + t^4.89 + t^4.93 + t^4.97 + 2*t^5.14 + 2*t^5.36 + t^5.4 + 3*t^5.57 + t^5.74 + 3*t^5.79 + t^5.96 - t^4.07/y - t^5.14/y - t^4.07*y - t^5.14*y	detail	{a: 86907/62720, c: 100067/62720, X1: 9/7, M1: 13/14, q1: 27/70, q2: 37/70, qb1: 43/70, qb2: 23/70, phi1: 5/14}
58166	${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$	1.4145	1.624	0.871	[X:[1.2941], M:[0.8824], q:[0.4069, 0.5245], qb:[0.5931, 0.3578], phi:[0.3529]]	t^2.29 + 2*t^2.65 + t^3. + t^3.18 + t^3.35 + t^3.71 + t^3.88 + t^4.06 + 2*t^4.41 + t^4.59 + t^4.76 + 2*t^4.94 + t^4.99 + t^5.07 + t^5.12 + 3*t^5.29 + t^5.43 + 2*t^5.47 + 2*t^5.65 + t^5.69 + 2*t^5.82 - t^4.06/y - t^5.12/y - t^4.06*y - t^5.12*y	detail	{a: 889497/628864, c: 1021281/628864, X1: 22/17, M1: 15/17, q1: 83/204, q2: 107/204, qb1: 121/204, qb2: 73/204, phi1: 6/17}
58134	${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }q_{1}\tilde{q}_{2}X_{2}$	1.3096	1.4971	0.8748	[X:[1.2727, 1.3636], M:[1.0], q:[0.3523, 0.5341], qb:[0.6477, 0.2841], phi:[0.3636]]	t^2.45 + 2*t^3. + t^3.27 + 2*t^3.55 + t^3.82 + 3*t^4.09 + 2*t^4.64 + t^4.74 + t^4.81 + t^5.18 + t^5.35 + t^5.45 + 2*t^5.73 + 3*t^5.83 + t^5.9 - t^4.09/y - t^5.18/y - t^4.09*y - t^5.18*y	detail	{a: 446211/340736, c: 510099/340736, X1: 14/11, X2: 15/11, M1: 1, q1: 31/88, q2: 47/88, qb1: 57/88, qb2: 25/88, phi1: 4/11}

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

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

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
47883	SU3adj1nf2	${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$	1.4532	1.6411	0.8855	[X:[1.3322], q:[0.4975, 0.5008], qb:[0.5025, 0.4959], phi:[0.3339]]	t^2.98 + t^2.99 + t^3. + t^3.005 + t^3.01 + t^3.982 + t^3.992 + t^3.997 + t^4.002 + t^4.011 + t^4.984 + t^4.993 + t^5.003 + t^5.013 + t^5.484 + t^5.489 + t^5.499 + t^5.504 + t^5.961 + t^5.971 + t^5.98 + t^5.985 + t^5.99 + t^5.995 - 2*t^6. - t^4.002/y - t^5.003/y - t^4.002*y - t^5.003*y	detail