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
336	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$	0.7904	0.9838	0.8034	[M:[0.7619, 0.7619, 0.7619, 0.7619, 0.7619], q:[0.619, 0.619], qb:[0.619, 0.619], phi:[0.381]]	[M:[[0, -2, -2], [1, -4, -2], [-1, 0, -2], [-1, -2, 0], [1, -2, -4]], q:[[-1, 2, 2], [1, 0, 0]], qb:[[0, 2, 0], [0, 0, 2]], phi:[[0, -1, -1]]]	3	{a: 1859/2352, c: 1157/1176, M1: 16/21, M2: 16/21, M3: 16/21, M4: 16/21, M5: 16/21, q1: 13/21, q2: 13/21, qb1: 13/21, qb2: 13/21, phi1: 8/21}

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{4}$, ${ }M_{5}$, ${ }M_{3}$, ${ }M_{2}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{5}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{1}M_{5}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}^{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{4}M_{5}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{3}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{1}M_{4}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$	${}M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$	-10	6*t^2.286 + t^3.714 + 21*t^4.571 + 10*t^4.857 - 10*t^6. + 56*t^6.857 + 45*t^7.143 - 65*t^8.286 - 15*t^8.571 - t^4.143/y - (6*t^6.429)/y + (15*t^7.571)/y + (6*t^7.857)/y - (21*t^8.714)/y - t^4.143*y - 6*t^6.429*y + 15*t^7.571*y + 6*t^7.857*y - 21*t^8.714*y	t^2.286/(g1*g2^2) + (g1*t^2.286)/(g2^2*g3^4) + t^2.286/(g1*g3^2) + (g1*t^2.286)/(g2^4*g3^2) + (2*t^2.286)/(g2^2*g3^2) + g2^2*g3^2*t^3.714 + t^4.571/(g1^2*g2^4) + (g1^2*t^4.571)/(g2^4*g3^8) + (g1^2*t^4.571)/(g2^6*g3^6) + (2*g1*t^4.571)/(g2^4*g3^6) + t^4.571/(g2^2*g3^6) + t^4.571/(g1^2*g3^4) + (g1^2*t^4.571)/(g2^8*g3^4) + (2*g1*t^4.571)/(g2^6*g3^4) + (5*t^4.571)/(g2^4*g3^4) + (2*t^4.571)/(g1*g2^2*g3^4) + t^4.571/(g2^6*g3^2) + (2*t^4.571)/(g1*g2^4*g3^2) + t^4.571/(g1^2*g2^2*g3^2) + (g1^2*t^4.857)/(g2*g3) + (g1*g2*t^4.857)/g3 + (g2^3*t^4.857)/g3 + (g1*g3*t^4.857)/g2 + 2*g2*g3*t^4.857 + (g2^3*g3*t^4.857)/g1 + (g3^3*t^4.857)/g2 + (g2*g3^3*t^4.857)/g1 + (g2^3*g3^3*t^4.857)/g1^2 - 2*t^6. - (g1*t^6.)/g2^2 - (g2^2*t^6.)/g1 - (g1*t^6.)/g3^2 - (g1^2*t^6.)/(g2^2*g3^2) - (g2^2*t^6.)/g3^2 - (g3^2*t^6.)/g1 - (g3^2*t^6.)/g2^2 - (g2^2*g3^2*t^6.)/g1^2 + t^6.857/(g1^3*g2^6) + (g1^3*t^6.857)/(g2^6*g3^12) + (g1^3*t^6.857)/(g2^8*g3^10) + (2*g1^2*t^6.857)/(g2^6*g3^10) + (g1*t^6.857)/(g2^4*g3^10) + (g1^3*t^6.857)/(g2^10*g3^8) + (2*g1^2*t^6.857)/(g2^8*g3^8) + (5*g1*t^6.857)/(g2^6*g3^8) + (2*t^6.857)/(g2^4*g3^8) + t^6.857/(g1*g2^2*g3^8) + t^6.857/(g1^3*g3^6) + (g1^3*t^6.857)/(g2^12*g3^6) + (2*g1^2*t^6.857)/(g2^10*g3^6) + (5*g1*t^6.857)/(g2^8*g3^6) + (8*t^6.857)/(g2^6*g3^6) + (5*t^6.857)/(g1*g2^4*g3^6) + (2*t^6.857)/(g1^2*g2^2*g3^6) + (g1*t^6.857)/(g2^10*g3^4) + (2*t^6.857)/(g2^8*g3^4) + (5*t^6.857)/(g1*g2^6*g3^4) + (2*t^6.857)/(g1^2*g2^4*g3^4) + t^6.857/(g1^3*g2^2*g3^4) + t^6.857/(g1*g2^8*g3^2) + (2*t^6.857)/(g1^2*g2^6*g3^2) + t^6.857/(g1^3*g2^4*g3^2) + (g1^3*t^7.143)/(g2^3*g3^5) + (g1^2*t^7.143)/(g2*g3^5) + (g1*g2*t^7.143)/g3^5 + (g1^3*t^7.143)/(g2^5*g3^3) + (3*g1^2*t^7.143)/(g2^3*g3^3) + (4*g1*t^7.143)/(g2*g3^3) + (3*g2*t^7.143)/g3^3 + (g2^3*t^7.143)/(g1*g3^3) + (g1^2*t^7.143)/(g2^5*g3) + (4*g1*t^7.143)/(g2^3*g3) + (5*t^7.143)/(g2*g3) + (4*g2*t^7.143)/(g1*g3) + (g2^3*t^7.143)/(g1^2*g3) + (g1*g3*t^7.143)/g2^5 + (3*g3*t^7.143)/g2^3 + (4*g3*t^7.143)/(g1*g2) + (3*g2*g3*t^7.143)/g1^2 + (g2^3*g3*t^7.143)/g1^3 + (g3^3*t^7.143)/(g1*g2^3) + (g3^3*t^7.143)/(g1^2*g2) + (g2*g3^3*t^7.143)/g1^3 - (4*t^8.286)/g1^2 - (g1*t^8.286)/g2^6 - (4*t^8.286)/g2^4 - (7*t^8.286)/(g1*g2^2) - (g2^2*t^8.286)/g1^3 - (g1*t^8.286)/g3^6 - (g1^3*t^8.286)/(g2^4*g3^6) - (g1^2*t^8.286)/(g2^2*g3^6) - (4*t^8.286)/g3^4 - (g1^3*t^8.286)/(g2^6*g3^4) - (4*g1^2*t^8.286)/(g2^4*g3^4) - (7*g1*t^8.286)/(g2^2*g3^4) - (g2^2*t^8.286)/(g1*g3^4) - (7*t^8.286)/(g1*g3^2) - (g1^2*t^8.286)/(g2^6*g3^2) - (7*g1*t^8.286)/(g2^4*g3^2) - (9*t^8.286)/(g2^2*g3^2) - (g2^2*t^8.286)/(g1^2*g3^2) - (g3^2*t^8.286)/g1^3 - (g3^2*t^8.286)/(g1*g2^4) - (g3^2*t^8.286)/(g1^2*g2^2) - g1^2*g2*g3*t^8.571 - 2*g1*g2^3*g3*t^8.571 - g2^5*g3*t^8.571 - 2*g1*g2*g3^3*t^8.571 - 3*g2^3*g3^3*t^8.571 - (2*g2^5*g3^3*t^8.571)/g1 - g2*g3^5*t^8.571 - (2*g2^3*g3^5*t^8.571)/g1 - (g2^5*g3^5*t^8.571)/g1^2 - t^4.143/(g2*g3*y) - (g1*t^6.429)/(g2^3*g3^5*y) - (g1*t^6.429)/(g2^5*g3^3*y) - (2*t^6.429)/(g2^3*g3^3*y) - t^6.429/(g1*g2*g3^3*y) - t^6.429/(g1*g2^3*g3*y) + (g1^2*t^7.571)/(g2^6*g3^6*y) + (2*g1*t^7.571)/(g2^4*g3^6*y) + t^7.571/(g2^2*g3^6*y) + (2*g1*t^7.571)/(g2^6*g3^4*y) + (3*t^7.571)/(g2^4*g3^4*y) + (2*t^7.571)/(g1*g2^2*g3^4*y) + t^7.571/(g2^6*g3^2*y) + (2*t^7.571)/(g1*g2^4*g3^2*y) + t^7.571/(g1^2*g2^2*g3^2*y) + (g1*g2*t^7.857)/(g3*y) + (g1*g3*t^7.857)/(g2*y) + (2*g2*g3*t^7.857)/y + (g2^3*g3*t^7.857)/(g1*y) + (g2*g3^3*t^7.857)/(g1*y) - (g1^2*t^8.714)/(g2^5*g3^9*y) - (g1^2*t^8.714)/(g2^7*g3^7*y) - (2*g1*t^8.714)/(g2^5*g3^7*y) - t^8.714/(g2^3*g3^7*y) - (g1^2*t^8.714)/(g2^9*g3^5*y) - (2*g1*t^8.714)/(g2^7*g3^5*y) - (5*t^8.714)/(g2^5*g3^5*y) - (2*t^8.714)/(g1*g2^3*g3^5*y) - t^8.714/(g1^2*g2*g3^5*y) - t^8.714/(g2^7*g3^3*y) - (2*t^8.714)/(g1*g2^5*g3^3*y) - t^8.714/(g1^2*g2^3*g3^3*y) - t^8.714/(g1^2*g2^5*g3*y) - (t^4.143*y)/(g2*g3) - (g1*t^6.429*y)/(g2^3*g3^5) - (g1*t^6.429*y)/(g2^5*g3^3) - (2*t^6.429*y)/(g2^3*g3^3) - (t^6.429*y)/(g1*g2*g3^3) - (t^6.429*y)/(g1*g2^3*g3) + (g1^2*t^7.571*y)/(g2^6*g3^6) + (2*g1*t^7.571*y)/(g2^4*g3^6) + (t^7.571*y)/(g2^2*g3^6) + (2*g1*t^7.571*y)/(g2^6*g3^4) + (3*t^7.571*y)/(g2^4*g3^4) + (2*t^7.571*y)/(g1*g2^2*g3^4) + (t^7.571*y)/(g2^6*g3^2) + (2*t^7.571*y)/(g1*g2^4*g3^2) + (t^7.571*y)/(g1^2*g2^2*g3^2) + (g1*g2*t^7.857*y)/g3 + (g1*g3*t^7.857*y)/g2 + 2*g2*g3*t^7.857*y + (g2^3*g3*t^7.857*y)/g1 + (g2*g3^3*t^7.857*y)/g1 - (g1^2*t^8.714*y)/(g2^5*g3^9) - (g1^2*t^8.714*y)/(g2^7*g3^7) - (2*g1*t^8.714*y)/(g2^5*g3^7) - (t^8.714*y)/(g2^3*g3^7) - (g1^2*t^8.714*y)/(g2^9*g3^5) - (2*g1*t^8.714*y)/(g2^7*g3^5) - (5*t^8.714*y)/(g2^5*g3^5) - (2*t^8.714*y)/(g1*g2^3*g3^5) - (t^8.714*y)/(g1^2*g2*g3^5) - (t^8.714*y)/(g2^7*g3^3) - (2*t^8.714*y)/(g1*g2^5*g3^3) - (t^8.714*y)/(g1^2*g2^3*g3^3) - (t^8.714*y)/(g1^2*g2^5*g3)

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
526	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$	0.7211	0.8891	0.811	[M:[0.9247, 0.774, 1.0753, 0.9247, 0.9247], q:[0.613, 0.4623], qb:[0.613, 0.4623], phi:[0.4623]]	t^2.322 + 4*t^2.774 + 2*t^3.226 + 3*t^4.161 + 4*t^4.613 + t^4.644 + 3*t^5.065 + 4*t^5.096 + 8*t^5.548 - t^4.387/y - t^4.387*y	detail
528	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{4}$	0.7369	0.9109	0.809	[M:[0.8862, 1.0, 0.7723, 1.0, 0.7723], q:[0.5569, 0.5569], qb:[0.4431, 0.6707], phi:[0.4431]]	2*t^2.317 + 2*t^2.659 + 2*t^3. + t^3.341 + t^3.988 + 2*t^4.329 + 3*t^4.634 + 4*t^4.671 + 4*t^4.976 + 2*t^5.012 + 6*t^5.317 + t^5.354 + 2*t^5.659 - t^6. - t^4.329/y - t^4.329*y	detail
527	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{2}^{2}$	0.7536	0.9338	0.807	[M:[0.8465, 1.0, 0.693, 0.8465, 0.8465], q:[0.5, 0.6535], qb:[0.5, 0.6535], phi:[0.4233]]	t^2.079 + 4*t^2.54 + t^3. + t^3.46 + t^4.158 + 3*t^4.27 + 4*t^4.619 + 4*t^4.73 + 11*t^5.079 + 3*t^5.191 + t^5.54 - 3*t^6. - t^4.27/y - t^4.27*y	detail
530	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$	0.8092	1.0197	0.7935	[M:[0.7518, 0.7518, 0.7518, 0.7518, 0.7518, 0.7518], q:[0.6241, 0.6241], qb:[0.6241, 0.6241], phi:[0.3759]]	7*t^2.255 + 28*t^4.511 + 10*t^4.872 - 16*t^6. - t^4.128/y - t^4.128*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
207	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$	0.7729	0.9519	0.812	[M:[0.7777, 0.7777, 0.7777, 0.7473], q:[0.596, 0.6263], qb:[0.6263, 0.596], phi:[0.3888]]	t^2.242 + 4*t^2.333 + t^3.576 + t^3.667 + t^4.484 + 4*t^4.575 + 10*t^4.666 + 3*t^4.742 + 4*t^4.833 + 3*t^4.925 + t^5.818 + t^5.909 - 4*t^6. - t^4.167/y - t^4.167*y	detail