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
57648	SU3adj1nf2	${}M_{1}\phi_{1}^{3}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$	1.4759	1.6899	0.8734	[X:[], M:[0.9832, 0.9832], q:[0.5084, 0.4748], qb:[0.5084, 0.4748], phi:[0.3389]]	[X:[], M:[[3, 0, 3], [3, 0, 3]], q:[[-3, -1, -3], [9, 0, 0]], qb:[[0, 1, 0], [0, 0, 9]], phi:[[-1, 0, -1]]]	3

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{1}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$	${}\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$	-2	t^2.03 + t^2.85 + 4*t^2.95 + t^3.87 + 2*t^3.97 + 2*t^4.07 + 2*t^4.88 + 6*t^4.98 + t^5.08 + 2*t^5.39 + 2*t^5.49 + t^5.7 + 4*t^5.8 + 9*t^5.9 - 2*t^6. + 2*t^6.41 + 2*t^6.51 + t^6.71 + 6*t^6.82 + 9*t^6.92 + 7*t^7.02 - t^7.12 + 2*t^7.32 + 2*t^7.42 + 2*t^7.53 + 2*t^7.63 + 3*t^7.73 + 11*t^7.83 + 17*t^7.93 + t^8.03 - t^8.13 + 2*t^8.24 + 8*t^8.34 + 4*t^8.44 - 4*t^8.54 + t^8.55 - 2*t^8.64 + 4*t^8.65 + 10*t^8.75 + 17*t^8.85 - 5*t^8.95 - t^4.02/y - t^5.03/y - t^6.05/y - t^6.87/y - (4*t^6.97)/y - t^7.07/y + t^7.98/y - t^8.08/y + (4*t^8.8)/y + (5*t^8.9)/y - t^4.02*y - t^5.03*y - t^6.05*y - t^6.87*y - 4*t^6.97*y - t^7.07*y + t^7.98*y - t^8.08*y + 4*t^8.8*y + 5*t^8.9*y	t^2.03/(g1^2*g3^2) + g1^9*g3^9*t^2.85 + g1^9*g2*t^2.95 + 2*g1^3*g3^3*t^2.95 + (g3^6*t^2.95)/(g1^3*g2) + g1^8*g3^8*t^3.87 + (g1^8*g2*t^3.97)/g3 + (g3^5*t^3.97)/(g1^4*g2) + (2*t^4.07)/(g1^4*g3^4) + 2*g1^7*g3^7*t^4.88 + (2*g1^7*g2*t^4.98)/g3^2 + 2*g1*g3*t^4.98 + (2*g3^4*t^4.98)/(g1^5*g2) + t^5.08/(g1^5*g3^5) + (g1^14*t^5.39)/(g2*g3^4) + (g2*g3^17*t^5.39)/g1 + (g1^2*t^5.49)/(g2^2*g3^7) + (g2^2*g3^8*t^5.49)/g1 + g1^18*g3^18*t^5.7 + g1^18*g2*g3^9*t^5.8 + 2*g1^12*g3^12*t^5.8 + (g1^6*g3^15*t^5.8)/g2 + g1^18*g2^2*t^5.9 + g1^12*g2*g3^3*t^5.9 + 5*g1^6*g3^6*t^5.9 + (g3^9*t^5.9)/g2 + (g3^12*t^5.9)/(g1^6*g2^2) - 4*t^6. + (g1^6*g2*t^6.)/g3^3 + (g3^3*t^6.)/(g1^6*g2) - (g2*t^6.1)/g3^9 + (2*t^6.1)/(g1^6*g3^6) - t^6.1/(g1^12*g2*g3^3) + (g1^13*t^6.41)/(g2*g3^5) + (g2*g3^16*t^6.41)/g1^2 + (g1*t^6.51)/(g2^2*g3^8) + (g2^2*g3^7*t^6.51)/g1^2 + g1^17*g3^17*t^6.71 + 2*g1^17*g2*g3^8*t^6.82 + 2*g1^11*g3^11*t^6.82 + (2*g1^5*g3^14*t^6.82)/g2 + (g1^17*g2^2*t^6.92)/g3 + g1^11*g2*g3^2*t^6.92 + 5*g1^5*g3^5*t^6.92 + (g3^8*t^6.92)/(g1*g2) + (g3^11*t^6.92)/(g1^7*g2^2) + (3*g1^5*g2*t^7.02)/g3^4 + t^7.02/(g1*g3) + (3*g3^2*t^7.02)/(g1^7*g2) - (g2*t^7.12)/(g1*g3^10) + t^7.12/(g1^7*g3^7) - t^7.12/(g1^13*g2*g3^4) + (g1^24*t^7.32)/g3^3 + (g3^24*t^7.32)/g1^3 + (2*g1^12*t^7.42)/(g2*g3^6) - (g1^6*t^7.42)/(g2^2*g3^3) - g1^3*g2^2*g3^12*t^7.42 + (2*g2*g3^15*t^7.42)/g1^3 - (g1^6*t^7.53)/(g2*g3^12) + (2*t^7.53)/(g2^2*g3^9) + (2*g2^2*g3^6*t^7.53)/g1^3 - (g2*g3^9*t^7.53)/g1^9 + t^7.63/(g1^12*g2^3*g3^12) + (g2^3*t^7.63)/(g1^3*g3^3) + 3*g1^16*g3^16*t^7.73 + 4*g1^16*g2*g3^7*t^7.83 + 3*g1^10*g3^10*t^7.83 + (4*g1^4*g3^13*t^7.83)/g2 + (3*g1^16*g2^2*t^7.93)/g3^2 + g1^10*g2*g3*t^7.93 + 9*g1^4*g3^4*t^7.93 + (g3^7*t^7.93)/(g1^2*g2) + (3*g3^10*t^7.93)/(g1^8*g2^2) + (3*g1^4*g2*t^8.03)/g3^5 - (5*t^8.03)/(g1^2*g3^2) + (3*g3*t^8.03)/(g1^8*g2) - (2*g2*t^8.13)/(g1^2*g3^11) + (3*t^8.13)/(g1^8*g3^8) - (2*t^8.13)/(g1^14*g2*g3^5) + (g1^23*g3^5*t^8.24)/g2 + g1^8*g2*g3^26*t^8.24 + (g1^23*t^8.34)/g3^4 + (g1^17*t^8.34)/(g2*g3) + (2*g1^11*g3^2*t^8.34)/g2^2 + 2*g1^8*g2^2*g3^17*t^8.34 + g1^2*g2*g3^20*t^8.34 + (g3^23*t^8.34)/g1^4 - (g1^17*t^8.44)/g3^10 + (2*g1^11*t^8.44)/(g2*g3^7) + t^8.44/(g1*g2^3*g3) + g1^8*g2^3*g3^8*t^8.44 + (2*g2*g3^14*t^8.44)/g1^4 - (g3^17*t^8.44)/g1^10 - (2*g1^5*t^8.54)/(g2*g3^13) + t^8.54/(g1*g2^2*g3^10) - t^8.54/(g1^7*g2^3*g3^7) - g1^2*g2^3*g3^2*t^8.54 + (g2^2*g3^5*t^8.54)/g1^4 - (2*g2*g3^8*t^8.54)/g1^10 + g1^27*g3^27*t^8.55 - t^8.64/(g1^7*g2^2*g3^16) - (g2^2*t^8.64)/(g1^10*g3) + g1^27*g2*g3^18*t^8.65 + 2*g1^21*g3^21*t^8.65 + (g1^15*g3^24*t^8.65)/g2 + g1^27*g2^2*g3^9*t^8.75 + g1^21*g2*g3^12*t^8.75 + 6*g1^15*g3^15*t^8.75 + (g1^9*g3^18*t^8.75)/g2 + (g1^3*g3^21*t^8.75)/g2^2 + g1^27*g2^3*t^8.85 + g1^21*g2^2*g3^3*t^8.85 + 6*g1^15*g2*g3^6*t^8.85 + g1^9*g3^9*t^8.85 + (6*g1^3*g3^12*t^8.85)/g2 + (g3^15*t^8.85)/(g1^3*g2^2) + (g3^18*t^8.85)/(g1^9*g2^3) - 5*g1^9*g2*t^8.95 + (2*g1^15*g2^2*t^8.95)/g3^3 + g1^3*g3^3*t^8.95 - (5*g3^6*t^8.95)/(g1^3*g2) + (2*g3^9*t^8.95)/(g1^9*g2^2) - t^4.02/(g1*g3*y) - t^5.03/(g1^2*g3^2*y) - t^6.05/(g1^3*g3^3*y) - (g1^8*g3^8*t^6.87)/y - (g1^8*g2*t^6.97)/(g3*y) - (2*g1^2*g3^2*t^6.97)/y - (g3^5*t^6.97)/(g1^4*g2*y) - t^7.07/(g1^4*g3^4*y) + (g1*g3*t^7.98)/y - t^8.08/(g1^5*g3^5*y) + (g1^18*g2*g3^9*t^8.8)/y + (2*g1^12*g3^12*t^8.8)/y + (g1^6*g3^15*t^8.8)/(g2*y) + (2*g1^12*g2*g3^3*t^8.9)/y + (g1^6*g3^6*t^8.9)/y + (2*g3^9*t^8.9)/(g2*y) - (t^4.02*y)/(g1*g3) - (t^5.03*y)/(g1^2*g3^2) - (t^6.05*y)/(g1^3*g3^3) - g1^8*g3^8*t^6.87*y - (g1^8*g2*t^6.97*y)/g3 - 2*g1^2*g3^2*t^6.97*y - (g3^5*t^6.97*y)/(g1^4*g2) - (t^7.07*y)/(g1^4*g3^4) + g1*g3*t^7.98*y - (t^8.08*y)/(g1^5*g3^5) + g1^18*g2*g3^9*t^8.8*y + 2*g1^12*g3^12*t^8.8*y + (g1^6*g3^15*t^8.8*y)/g2 + 2*g1^12*g2*g3^3*t^8.9*y + g1^6*g3^6*t^8.9*y + (2*g3^9*t^8.9*y)/g2

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
60608	${}M_{1}\phi_{1}^{3}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$	1.4751	1.6867	0.8746	[X:[], M:[0.9903, 0.9903], q:[0.4949, 0.4949], qb:[0.5148, 0.4759], phi:[0.3366]]	t^2.02 + 2*t^2.91 + 2*t^2.97 + t^3.03 + 2*t^3.92 + 3*t^4.04 + 4*t^4.93 + 2*t^4.99 + 3*t^5.05 + t^5.41 + 2*t^5.46 + t^5.53 + 3*t^5.82 + 3*t^5.88 + 7*t^5.94 - 4*t^6. - t^4.01/y - t^5.02/y - t^4.01*y - t^5.02*y	detail
58962	${}M_{1}\phi_{1}^{3}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$	1.4967	1.7309	0.8647	[X:[], M:[0.9834, 0.9834, 0.6757], q:[0.5073, 0.4761], qb:[0.5093, 0.4742], phi:[0.3389]]	2*t^2.03 + t^2.85 + t^2.94 + 2*t^2.95 + t^2.96 + t^3.87 + t^3.96 + t^4.05 + t^4.06 + 2*t^4.07 + 3*t^4.88 + t^4.97 + 7*t^4.98 + 2*t^4.99 + t^5.08 + t^5.39 + t^5.4 + 2*t^5.49 + t^5.7 + 3*t^5.8 + t^5.81 + 3*t^5.89 + 5*t^5.9 + 2*t^5.91 + 2*t^5.99 - 4*t^6. - t^4.02/y - t^5.03/y - t^4.02*y - t^5.03*y	detail
58613	${}M_{1}\phi_{1}^{3}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$	1.4963	1.7277	0.8661	[X:[], M:[0.9867, 0.9867, 0.702], q:[0.5066, 0.4801], qb:[0.5066, 0.4801], phi:[0.3378]]	t^2.03 + t^2.11 + t^2.88 + 4*t^2.96 + 2*t^3.97 + 2*t^4.05 + t^4.13 + t^4.21 + 2*t^4.91 + 7*t^4.99 + 5*t^5.07 + 2*t^5.41 + 2*t^5.49 + t^5.76 + 4*t^5.84 + 8*t^5.92 - 2*t^6. - t^4.01/y - t^5.03/y - t^4.01*y - t^5.03*y	detail
58580	${}M_{1}\phi_{1}^{3}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$	1.0701	1.1638	0.9194	[X:[1.5], M:[1.25, 1.25], q:[0.375, 0.875], qb:[0.375, 0.875], phi:[0.25]]	t^3. + 5*t^3.75 + t^4.5 + t^5.25 + 4*t^5.62 - 4*t^6. - t^3.75/y - t^4.5/y - t^3.75*y - t^4.5*y	detail	{a: 4383/4096, c: 4767/4096, X1: 3/2, M1: 5/4, M2: 5/4, q1: 3/8, q2: 7/8, qb1: 3/8, qb2: 7/8, phi1: 1/4}
59045	${}M_{1}\phi_{1}^{3}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }q_{2}^{2}\tilde{q}_{1}^{2}$	1.4756	1.6887	0.8738	[X:[], M:[0.9858, 0.9858], q:[0.4998, 0.4856], qb:[0.5144, 0.4718], phi:[0.3381]]	t^2.03 + t^2.87 + t^2.91 + 2*t^2.96 + t^3. + t^3.89 + t^3.93 + t^4.01 + 2*t^4.06 + 2*t^4.9 + 2*t^4.94 + 2*t^4.99 + 2*t^5.03 + t^5.07 + t^5.39 + t^5.43 + t^5.47 + t^5.52 + t^5.74 + t^5.79 + 3*t^5.83 + 2*t^5.87 + 5*t^5.91 + 2*t^5.96 - 3*t^6. - t^4.01/y - t^5.03/y - t^4.01*y - t^5.03*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

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
47935	SU3adj1nf2	${}M_{1}\phi_{1}^{3}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$	1.4747	1.6858	0.8748	[M:[0.9898], q:[0.5051, 0.4847], qb:[0.5051, 0.4847], phi:[0.3367]]	t^2.02 + t^2.908 + 3*t^2.969 + t^3.031 + t^3.919 + 2*t^3.98 + 2*t^4.041 + 2*t^4.929 + 5*t^4.99 + 2*t^5.051 + 2*t^5.434 + 2*t^5.495 + t^5.817 + 3*t^5.878 + 6*t^5.939 + t^6. - t^4.01/y - t^5.02/y - t^4.01*y - t^5.02*y	detail