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
84	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$	0.7556	0.9204	0.821	[M:[0.7942, 0.7942, 0.7604], q:[0.6198, 0.586], qb:[0.6198, 0.586], phi:[0.3971]]	[M:[[-4, -4, 0, 0], [0, 0, -4, -4], [-4, 0, -4, 0]], q:[[4, 0, 0, 0], [0, 4, 0, 0]], qb:[[0, 0, 4, 0], [0, 0, 0, 4]], phi:[[-1, -1, -1, -1]]]	4

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{3}$, ${ }M_{1}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{3}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$	${}\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$	-2	t^2.281 + 3*t^2.383 + t^3.516 + 2*t^3.617 + t^4.562 + 3*t^4.664 + 3*t^4.707 + 6*t^4.765 + 4*t^4.809 + 3*t^4.91 + t^5.797 + t^5.899 - 2*t^6. - 4*t^6.101 + t^6.843 + 3*t^6.945 + 3*t^6.988 + t^7.032 + 6*t^7.046 + 9*t^7.09 + 2*t^7.134 + 10*t^7.148 + 8*t^7.191 + 2*t^7.235 + 5*t^7.293 + t^8.078 + t^8.18 + 3*t^8.223 - 5*t^8.281 + 3*t^8.325 - 12*t^8.383 - 9*t^8.484 - t^8.528 - t^4.191/y - t^6.472/y - (3*t^6.574)/y + (3*t^7.664)/y + (3*t^7.765)/y + (3*t^7.809)/y + t^7.91/y - t^8.753/y + t^8.797/y - (3*t^8.855)/y + (5*t^8.899)/y - (6*t^8.956)/y - t^4.191*y - t^6.472*y - 3*t^6.574*y + 3*t^7.664*y + 3*t^7.765*y + 3*t^7.809*y + t^7.91*y - t^8.753*y + t^8.797*y - 3*t^8.855*y + 5*t^8.899*y - 6*t^8.956*y	t^2.281/(g1^4*g3^4) + t^2.383/(g1^4*g2^4) + t^2.383/(g3^4*g4^4) + t^2.383/(g1^2*g2^2*g3^2*g4^2) + g2^4*g4^4*t^3.516 + g2^4*g3^4*t^3.617 + g1^4*g4^4*t^3.617 + t^4.562/(g1^8*g3^8) + t^4.664/(g1^8*g2^4*g3^4) + t^4.664/(g1^4*g3^8*g4^4) + t^4.664/(g1^6*g2^2*g3^6*g4^2) + (g2^7*t^4.707)/(g1*g3*g4) + (g2^3*g4^3*t^4.707)/(g1*g3) + (g4^7*t^4.707)/(g1*g2*g3) + t^4.765/(g1^8*g2^8) + t^4.765/(g3^8*g4^8) + t^4.765/(g1^2*g2^2*g3^6*g4^6) + (2*t^4.765)/(g1^4*g2^4*g3^4*g4^4) + t^4.765/(g1^6*g2^6*g3^2*g4^2) + (g1^3*g2^3*t^4.809)/(g3*g4) + (g2^3*g3^3*t^4.809)/(g1*g4) + (g1^3*g4^3*t^4.809)/(g2*g3) + (g3^3*g4^3*t^4.809)/(g1*g2) + (g1^7*t^4.91)/(g2*g3*g4) + (g1^3*g3^3*t^4.91)/(g2*g4) + (g3^7*t^4.91)/(g1*g2*g4) + (g2^4*g4^4*t^5.797)/(g1^4*g3^4) + (g2^2*g4^2*t^5.899)/(g1^2*g3^2) - 4*t^6. + (g2^2*g3^2*t^6.)/(g1^2*g4^2) + (g1^2*g4^2*t^6.)/(g2^2*g3^2) - (g1^4*t^6.101)/g2^4 - (g3^4*t^6.101)/g2^4 - (g1^4*t^6.101)/g4^4 - (g3^4*t^6.101)/g4^4 + t^6.843/(g1^12*g3^12) + t^6.945/(g1^12*g2^4*g3^8) + t^6.945/(g1^8*g3^12*g4^4) + t^6.945/(g1^10*g2^2*g3^10*g4^2) + (g2^7*t^6.988)/(g1^5*g3^5*g4) + (g2^3*g4^3*t^6.988)/(g1^5*g3^5) + (g4^7*t^6.988)/(g1^5*g2*g3^5) + g2^8*g4^8*t^7.032 + t^7.046/(g1^12*g2^8*g3^4) + t^7.046/(g1^4*g3^12*g4^8) + t^7.046/(g1^6*g2^2*g3^10*g4^6) + (2*t^7.046)/(g1^8*g2^4*g3^8*g4^4) + t^7.046/(g1^10*g2^6*g3^6*g4^2) + (g2^7*t^7.09)/(g1*g3^5*g4^5) + (g2^5*t^7.09)/(g1^3*g3^3*g4^3) + (g2^3*t^7.09)/(g1*g3^5*g4) + (g2^3*t^7.09)/(g1^5*g3*g4) + (g2*g4*t^7.09)/(g1^3*g3^3) + (g4^3*t^7.09)/(g1*g2*g3^5) + (g4^3*t^7.09)/(g1^5*g2*g3) + (g4^5*t^7.09)/(g1^3*g2^3*g3^3) + (g4^7*t^7.09)/(g1^5*g2^5*g3) + g2^8*g3^4*g4^4*t^7.134 + g1^4*g2^4*g4^8*t^7.134 + t^7.148/(g1^12*g2^12) + t^7.148/(g3^12*g4^12) + t^7.148/(g1^2*g2^2*g3^10*g4^10) + (2*t^7.148)/(g1^4*g2^4*g3^8*g4^8) + (2*t^7.148)/(g1^6*g2^6*g3^6*g4^6) + (2*t^7.148)/(g1^8*g2^8*g3^4*g4^4) + t^7.148/(g1^10*g2^10*g3^2*g4^2) + (g1^3*g2^3*t^7.191)/(g3^5*g4^5) + (g1*g2*t^7.191)/(g3^3*g4^3) + (g2*g3*t^7.191)/(g1^3*g4^3) + (g1^3*t^7.191)/(g2*g3^5*g4) + (g3^3*t^7.191)/(g1^5*g2*g4) + (g1*g4*t^7.191)/(g2^3*g3^3) + (g3*g4*t^7.191)/(g1^3*g2^3) + (g3^3*g4^3*t^7.191)/(g1^5*g2^5) + g2^8*g3^8*t^7.235 + g1^8*g4^8*t^7.235 + (g1^7*t^7.293)/(g2*g3^5*g4^5) + (g1^5*t^7.293)/(g2^3*g3^3*g4^3) + (g1*g3*t^7.293)/(g2^3*g4^3) + (g3^5*t^7.293)/(g1^3*g2^3*g4^3) + (g3^7*t^7.293)/(g1^5*g2^5*g4) + (g2^4*g4^4*t^8.078)/(g1^8*g3^8) + (g2^2*g4^2*t^8.18)/(g1^6*g3^6) + (g2^11*g4^3*t^8.223)/(g1*g3) + (g2^7*g4^7*t^8.223)/(g1*g3) + (g2^3*g4^11*t^8.223)/(g1*g3) - (3*t^8.281)/(g1^4*g3^4) - (g2^4*t^8.281)/(g1^4*g3^4*g4^4) - (g4^4*t^8.281)/(g1^4*g2^4*g3^4) + (g2^11*g3^3*t^8.325)/(g1*g4) - g1*g2^9*g3*g4*t^8.325 + (g1^3*g2^7*g4^3*t^8.325)/g3 + (g2^7*g3^3*g4^3*t^8.325)/g1 - g1*g2^5*g3*g4^5*t^8.325 + (g1^3*g2^3*g4^7*t^8.325)/g3 + (g2^3*g3^3*g4^7*t^8.325)/g1 - g1*g2*g3*g4^9*t^8.325 + (g1^3*g4^11*t^8.325)/(g2*g3) - (4*t^8.383)/(g1^4*g2^4) - (4*t^8.383)/(g3^4*g4^4) - (4*t^8.383)/(g1^2*g2^2*g3^2*g4^2) + (g2^7*g3^7*t^8.426)/(g1*g4) - g1^5*g2^5*g3*g4*t^8.426 - g1*g2^5*g3^5*g4*t^8.426 + (g1^7*g2^3*g4^3*t^8.426)/g3 + (g2^3*g3^7*g4^3*t^8.426)/g1 - g1^5*g2*g3*g4^5*t^8.426 - g1*g2*g3^5*g4^5*t^8.426 + (g1^7*g4^7*t^8.426)/(g2*g3) - (g3^4*t^8.484)/(g1^4*g2^8) - (g1^4*t^8.484)/(g3^4*g4^8) - (g1^2*t^8.484)/(g2^2*g3^2*g4^6) - (g3^2*t^8.484)/(g1^2*g2^2*g4^6) - t^8.484/(g2^4*g4^4) - (g1^4*t^8.484)/(g2^4*g3^4*g4^4) - (g3^4*t^8.484)/(g1^4*g2^4*g4^4) - (g1^2*t^8.484)/(g2^6*g3^2*g4^2) - (g3^2*t^8.484)/(g1^2*g2^6*g4^2) + (g2^3*g3^11*t^8.528)/(g1*g4) - g1^9*g2*g3*g4*t^8.528 - g1^5*g2*g3^5*g4*t^8.528 - g1*g2*g3^9*g4*t^8.528 + (g1^11*g4^3*t^8.528)/(g2*g3) - t^4.191/(g1*g2*g3*g4*y) - t^6.472/(g1^5*g2*g3^5*g4*y) - t^6.574/(g1*g2*g3^5*g4^5*y) - t^6.574/(g1^3*g2^3*g3^3*g4^3*y) - t^6.574/(g1^5*g2^5*g3*g4*y) + t^7.664/(g1^8*g2^4*g3^4*y) + t^7.664/(g1^4*g3^8*g4^4*y) + t^7.664/(g1^6*g2^2*g3^6*g4^2*y) + t^7.765/(g1^2*g2^2*g3^6*g4^6*y) + t^7.765/(g1^4*g2^4*g3^4*g4^4*y) + t^7.765/(g1^6*g2^6*g3^2*g4^2*y) + (g1^3*g2^3*t^7.809)/(g3*g4*y) + (g1*g2*g3*g4*t^7.809)/y + (g3^3*g4^3*t^7.809)/(g1*g2*y) + (g1^3*g3^3*t^7.91)/(g2*g4*y) - t^8.753/(g1^9*g2*g3^9*g4*y) + (g2^4*g4^4*t^8.797)/(g1^4*g3^4*y) - t^8.855/(g1^5*g2*g3^9*g4^5*y) - t^8.855/(g1^7*g2^3*g3^7*g4^3*y) - t^8.855/(g1^9*g2^5*g3^5*g4*y) + (g2^4*t^8.899)/(g1^4*y) + (g2^4*t^8.899)/(g3^4*y) + (g2^2*g4^2*t^8.899)/(g1^2*g3^2*y) + (g4^4*t^8.899)/(g1^4*y) + (g4^4*t^8.899)/(g3^4*y) - t^8.956/(g1*g2*g3^9*g4^9*y) - t^8.956/(g1^3*g2^3*g3^7*g4^7*y) - (2*t^8.956)/(g1^5*g2^5*g3^5*g4^5*y) - t^8.956/(g1^7*g2^7*g3^3*g4^3*y) - t^8.956/(g1^9*g2^9*g3*g4*y) - (t^4.191*y)/(g1*g2*g3*g4) - (t^6.472*y)/(g1^5*g2*g3^5*g4) - (t^6.574*y)/(g1*g2*g3^5*g4^5) - (t^6.574*y)/(g1^3*g2^3*g3^3*g4^3) - (t^6.574*y)/(g1^5*g2^5*g3*g4) + (t^7.664*y)/(g1^8*g2^4*g3^4) + (t^7.664*y)/(g1^4*g3^8*g4^4) + (t^7.664*y)/(g1^6*g2^2*g3^6*g4^2) + (t^7.765*y)/(g1^2*g2^2*g3^6*g4^6) + (t^7.765*y)/(g1^4*g2^4*g3^4*g4^4) + (t^7.765*y)/(g1^6*g2^6*g3^2*g4^2) + (g1^3*g2^3*t^7.809*y)/(g3*g4) + g1*g2*g3*g4*t^7.809*y + (g3^3*g4^3*t^7.809*y)/(g1*g2) + (g1^3*g3^3*t^7.91*y)/(g2*g4) - (t^8.753*y)/(g1^9*g2*g3^9*g4) + (g2^4*g4^4*t^8.797*y)/(g1^4*g3^4) - (t^8.855*y)/(g1^5*g2*g3^9*g4^5) - (t^8.855*y)/(g1^7*g2^3*g3^7*g4^3) - (t^8.855*y)/(g1^9*g2^5*g3^5*g4) + (g2^4*t^8.899*y)/g1^4 + (g2^4*t^8.899*y)/g3^4 + (g2^2*g4^2*t^8.899*y)/(g1^2*g3^2) + (g4^4*t^8.899*y)/g1^4 + (g4^4*t^8.899*y)/g3^4 - (t^8.956*y)/(g1*g2*g3^9*g4^9) - (t^8.956*y)/(g1^3*g2^3*g3^7*g4^7) - (2*t^8.956*y)/(g1^5*g2^5*g3^5*g4^5) - (t^8.956*y)/(g1^7*g2^7*g3^3*g4^3) - (t^8.956*y)/(g1^9*g2^9*g3*g4)

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
137	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{4}$	0.7406	0.8961	0.8265	[M:[0.8579, 0.7808, 0.7808, 1.1421], q:[0.5894, 0.5527], qb:[0.6298, 0.5894], phi:[0.4097]]	2*t^2.342 + t^2.458 + 2*t^3.426 + t^3.536 + t^3.547 + t^4.545 + 2*t^4.655 + 3*t^4.685 + 3*t^4.765 + t^4.776 + 2*t^4.801 + 2*t^4.887 + t^4.916 + t^5.008 + 3*t^5.769 + 2*t^5.884 + t^5.995 - 6*t^6. - t^4.229/y - t^4.229*y	detail
138	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$	0.7722	0.9495	0.8132	[M:[0.7745, 0.7745, 0.7745, 0.7745], q:[0.6127, 0.6127], qb:[0.6127, 0.6127], phi:[0.3873]]	5*t^2.324 + 2*t^3.676 + 15*t^4.647 + 10*t^4.838 - 6*t^6. - t^4.162/y - t^4.162*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
55	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$	0.7382	0.8885	0.8308	[M:[0.8108, 0.8108], q:[0.5946, 0.5946], qb:[0.5946, 0.5946], phi:[0.4054]]	3*t^2.432 + 4*t^3.568 + 10*t^4.784 + 6*t^4.865 - 4*t^6. - t^4.216/y - t^4.216*y	detail