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
57745	SU3adj1nf2	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{2}$	1.4747	1.6859	0.8747	[X:[1.3265], M:[0.9898, 0.6722], q:[0.5057, 0.4841], qb:[0.5045, 0.4853], phi:[0.3367]]	[X:[[0, 0, 2]], M:[[0, 0, 3], [1, -1, 4]], q:[[-1, 0, -3], [0, -1, 9]], qb:[[1, 0, 0], [0, 1, 0]], phi:[[0, 0, -1]]]	3

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}^{3}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$	${}\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }M_{2}X_{1}$	0	t^2.02 + t^2.91 + 3*t^2.97 + t^3.03 + t^3.92 + 2*t^3.98 + t^4.03 + t^4.04 + t^4.92 + t^4.93 + t^4.98 + 4*t^4.99 + 2*t^5.05 + t^5.43 + t^5.44 + t^5.49 + t^5.5 + t^5.82 + t^5.87 + 2*t^5.88 + t^5.93 + 4*t^5.94 + t^5.95 + t^5.99 + t^6.05 + t^6.44 + t^6.45 + t^6.5 + t^6.51 + t^6.83 + 2*t^6.88 + 3*t^6.89 + 2*t^6.94 + 6*t^6.95 + 3*t^7. + 4*t^7.01 + t^7.06 + t^7.07 - t^7.08 + t^7.39 + t^7.4 + 2*t^7.45 + 2*t^7.51 + t^7.57 + t^7.58 + t^7.83 + 2*t^7.84 + 5*t^7.89 + 4*t^7.9 + 4*t^7.95 + 8*t^7.96 + t^7.97 + 3*t^8.01 + 2*t^8.02 + t^8.07 + t^8.08 - t^8.09 + 2*t^8.34 + 3*t^8.4 + 3*t^8.41 + 3*t^8.46 + t^8.47 - 2*t^8.53 - t^8.58 - t^8.59 + t^8.72 + t^8.78 + 2*t^8.79 + 2*t^8.84 + 5*t^8.85 + 9*t^8.9 + t^8.91 + t^8.92 + 6*t^8.96 - 4*t^8.97 + t^8.98 - t^4.01/y - t^5.02/y - t^6.03/y - t^6.92/y - (3*t^6.98)/y - (2*t^7.04)/y + t^7.92/y - t^7.93/y + t^7.98/y - t^8.04/y + t^8.87/y + (2*t^8.88)/y + (3*t^8.94)/y - t^4.01*y - t^5.02*y - t^6.03*y - t^6.92*y - 3*t^6.98*y - 2*t^7.04*y + t^7.92*y - t^7.93*y + t^7.98*y - t^8.04*y + t^8.87*y + 2*t^8.88*y + 3*t^8.94*y	(g1*g3^4*t^2.02)/g2 + g3^9*t^2.91 + (g2*t^2.97)/(g1*g3^3) + g3^3*t^2.97 + (g1*g3^9*t^2.97)/g2 + t^3.03/g3^3 + g3^8*t^3.92 + g3^2*t^3.98 + (g1*g3^8*t^3.98)/g2 + (g1^2*g3^8*t^4.03)/g2^2 + t^4.04/g3^4 + (g1*g3^13*t^4.92)/g2 + g3^7*t^4.93 + (g1^2*g3^13*t^4.98)/g2^2 + (g2*t^4.99)/(g1*g3^5) + g3*t^4.99 + (2*g1*g3^7*t^4.99)/g2 + t^5.05/g3^5 + (g1*g3*t^5.05)/g2 + (g3^14*t^5.43)/(g1*g2^2) + (g1*g2^2*t^5.44)/g3 + (g1^2*g2*t^5.49)/g3 + (g3^2*t^5.5)/(g1^2*g2) + g3^18*t^5.82 + (g1*g3^18*t^5.87)/g2 + (g2*g3^6*t^5.88)/g1 + g3^12*t^5.88 + (g1^2*g3^18*t^5.93)/g2^2 + 3*g3^6*t^5.94 + (g1*g3^12*t^5.94)/g2 + (g2^2*t^5.95)/(g1^2*g3^6) + (g1^2*g3^12*t^5.99)/g2^2 - 3*t^6. + (g2*t^6.)/(g1*g3^6) + (2*g1*g3^6*t^6.)/g2 + (g1^3*g3^12*t^6.05)/g2^3 - (g2*t^6.06)/(g1*g3^12) + t^6.06/g3^6 + (g3^13*t^6.44)/(g1*g2^2) + (g1*g2^2*t^6.45)/g3^2 + (g1^2*g2*t^6.5)/g3^2 + (g3*t^6.51)/(g1^2*g2) + g3^17*t^6.83 + (2*g1*g3^17*t^6.88)/g2 + (g2*g3^5*t^6.89)/g1 + 2*g3^11*t^6.89 + (2*g1^2*g3^17*t^6.94)/g2^2 + 4*g3^5*t^6.95 + (2*g1*g3^11*t^6.95)/g2 + (2*g1^2*g3^11*t^7.)/g2^2 + (g1^3*g3^17*t^7.)/g2^3 + (g2*t^7.01)/(g1*g3^7) + (3*g1*g3^5*t^7.01)/g2 + (g1^2*g3^5*t^7.06)/g2^2 + t^7.07/g3^7 - (g2*t^7.08)/(g1*g3^13) + (g3^24*t^7.39)/g2^3 + (g2^3*t^7.4)/g3^3 + (g3^12*t^7.45)/(g1*g2^2) + (g3^18*t^7.45)/g2^3 + (g1*g2^2*t^7.46)/g3^3 - (g3^6*t^7.46)/(g1^2*g2) + (g1^2*g2*t^7.51)/g3^3 + g1^3*g3^3*t^7.51 + t^7.52/(g1^2*g2) - (g1*g2^2*t^7.52)/g3^9 + (g1^3*t^7.57)/g3^3 + t^7.58/(g1^3*g3^12) + (g1*g3^22*t^7.83)/g2 + 2*g3^16*t^7.84 + (4*g1*g3^16*t^7.89)/g2 + (g1^2*g3^22*t^7.89)/g2^2 + (2*g2*g3^4*t^7.9)/g1 + 2*g3^10*t^7.9 + (3*g1^2*g3^16*t^7.95)/g2^2 + (g1^3*g3^22*t^7.95)/g2^3 + 5*g3^4*t^7.96 + (3*g1*g3^10*t^7.96)/g2 + (g2^2*t^7.97)/(g1^2*g3^8) + (2*g1^2*g3^10*t^8.01)/g2^2 + (g1^3*g3^16*t^8.01)/g2^3 + (2*g2*t^8.02)/(g1*g3^8) + (g1^4*g3^16*t^8.07)/g2^4 + t^8.08/g3^8 - (g2*t^8.09)/(g1*g3^14) + g1*g2^2*g3^8*t^8.34 + (g3^23*t^8.34)/(g1*g2^2) + 2*g1^2*g2*g3^8*t^8.4 + (g3^23*t^8.4)/g2^3 + (g2^3*t^8.41)/g3^4 + (2*g3^11*t^8.41)/(g1^2*g2) + g1^3*g3^8*t^8.46 + (2*g3^11*t^8.46)/(g1*g2^2) - (g2^3*t^8.47)/g3^10 + (2*g1*g2^2*t^8.47)/g3^4 + t^8.47/(g1^3*g3) - (g3^5*t^8.47)/(g1^2*g2) + (g1^2*g2*t^8.52)/g3^4 - (g3^5*t^8.52)/(g1*g2^2) - (2*g1*g2^2*t^8.53)/g3^10 - t^8.53/(g1^3*g3^7) + t^8.53/(g1^2*g2*g3) - (g1^2*g2*t^8.58)/g3^10 - t^8.59/(g1^2*g2*g3^7) + g3^27*t^8.72 + (g1*g3^27*t^8.78)/g2 + (g2*g3^15*t^8.79)/g1 + g3^21*t^8.79 + (g1*g3^21*t^8.84)/g2 + (g1^2*g3^27*t^8.84)/g2^2 + (g2^2*g3^3*t^8.85)/g1^2 + 4*g3^15*t^8.85 + (6*g1*g3^15*t^8.9)/g2 + (2*g1^2*g3^21*t^8.9)/g2^2 + (g1^3*g3^27*t^8.9)/g2^3 + (3*g2*g3^3*t^8.91)/g1 - 2*g3^9*t^8.91 + (g2^3*t^8.92)/(g1^3*g3^9) + (4*g1^2*g3^15*t^8.96)/g2^2 + (2*g1^3*g3^21*t^8.96)/g2^3 - (5*g2*t^8.97)/(g1*g3^3) + 2*g3^3*t^8.97 - (g1*g3^9*t^8.97)/g2 + (g2^2*t^8.98)/(g1^2*g3^9) - t^4.01/(g3*y) - t^5.02/(g3^2*y) - (g1*g3^3*t^6.03)/(g2*y) - (g3^8*t^6.92)/y - (g2*t^6.98)/(g1*g3^4*y) - (g3^2*t^6.98)/y - (g1*g3^8*t^6.98)/(g2*y) - t^7.04/(g3^4*y) - (g1*g3^2*t^7.04)/(g2*y) + (g1*g3^13*t^7.92)/(g2*y) - (g3^7*t^7.93)/y + (g1^2*g3^13*t^7.98)/(g2^2*y) - (g1^2*g3^7*t^8.04)/(g2^2*y) - t^8.05/(g3^5*y) + (g1*g3*t^8.05)/(g2*y) + (g1*g3^18*t^8.87)/(g2*y) + (g2*g3^6*t^8.88)/(g1*y) + (g3^12*t^8.88)/y + (g2*t^8.94)/(g1*y) + (g3^6*t^8.94)/y + (g1*g3^12*t^8.94)/(g2*y) - (t^4.01*y)/g3 - (t^5.02*y)/g3^2 - (g1*g3^3*t^6.03*y)/g2 - g3^8*t^6.92*y - (g2*t^6.98*y)/(g1*g3^4) - g3^2*t^6.98*y - (g1*g3^8*t^6.98*y)/g2 - (t^7.04*y)/g3^4 - (g1*g3^2*t^7.04*y)/g2 + (g1*g3^13*t^7.92*y)/g2 - g3^7*t^7.93*y + (g1^2*g3^13*t^7.98*y)/g2^2 - (g1^2*g3^7*t^8.04*y)/g2^2 - (t^8.05*y)/g3^5 + (g1*g3*t^8.05*y)/g2 + (g1*g3^18*t^8.87*y)/g2 + (g2*g3^6*t^8.88*y)/g1 + g3^12*t^8.88*y + (g2*t^8.94*y)/g1 + g3^6*t^8.94*y + (g1*g3^12*t^8.94*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
60089	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$	1.4743	1.6834	0.8758	[X:[1.3299], M:[0.9949, 0.6802], q:[0.4974, 0.4974], qb:[0.5077, 0.4873], phi:[0.335]]	t^2.04 + 2*t^2.95 + t^2.98 + 2*t^3.02 + t^3.96 + t^3.99 + 2*t^4.02 + t^4.08 + 2*t^4.96 + 2*t^4.99 + 3*t^5.03 + 2*t^5.06 + t^5.45 + 2*t^5.48 + t^5.51 + 3*t^5.91 + t^5.94 + 5*t^5.97 - 3*t^6. - t^4.01/y - t^5.01/y - t^4.01*y - t^5.01*y	detail
58576	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$	1.4323	1.6298	0.8788	[X:[1.3345], M:[1.0017, 0.8319], q:[0.4162, 0.5861], qb:[0.582, 0.4191], phi:[0.3328]]	t^2.5 + t^2.51 + t^2.99 + t^3.01 + t^3.02 + t^3.5 + t^3.99 + t^4. + t^4.01 + 2*t^4.5 + 2*t^4.99 + t^5. + 2*t^5.01 + t^5.25 + t^5.26 + 3*t^5.5 + t^5.51 + t^5.52 + t^5.75 + t^5.76 + t^5.99 - 2*t^6. - t^4./y - t^5./y - t^4.*y - t^5.*y	detail
60739	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$	1.4955	1.727	0.866	[X:[1.3267], M:[0.99, 0.6733, 0.6733], q:[0.505, 0.485], qb:[0.505, 0.485], phi:[0.3367]]	2*t^2.02 + t^2.91 + 3*t^2.97 + t^3.03 + t^3.92 + t^3.98 + 4*t^4.04 + 3*t^4.93 + 8*t^4.99 + 3*t^5.05 + 2*t^5.44 + 2*t^5.5 + t^5.82 + 3*t^5.88 + 7*t^5.94 + t^6. - t^4.01/y - t^5.02/y - t^4.01*y - t^5.02*y	detail
59029	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}^{3}$	1.4759	1.69	0.8733	[X:[1.3221], M:[0.9832, 0.6759, 0.9832], q:[0.5095, 0.4738], qb:[0.5074, 0.4757], phi:[0.3389]]	t^2.03 + t^2.85 + t^2.94 + 2*t^2.95 + t^2.96 + t^3.87 + t^3.96 + t^3.97 + t^4.06 + t^4.07 + 2*t^4.88 + t^4.97 + 4*t^4.98 + t^4.99 + t^5.08 + 2*t^5.39 + 2*t^5.49 + t^5.7 + t^5.79 + 3*t^5.8 + 3*t^5.89 + 5*t^5.9 + 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

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
47951	SU3adj1nf2	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}^{3}$	1.4539	1.6446	0.884	[X:[1.3264], M:[0.9896], q:[0.5052, 0.4845], qb:[0.5052, 0.4845], phi:[0.3368]]	t^2.907 + 3*t^2.969 + t^3.031 + t^3.917 + 3*t^3.979 + t^4.041 + t^4.928 + 2*t^4.99 + t^5.052 + 2*t^5.433 + 2*t^5.495 + t^5.814 + 3*t^5.876 + 5*t^5.938 - t^6. - t^4.01/y - t^5.021/y - t^4.01*y - t^5.021*y	detail