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
55451	SU2adj1nf3	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{3}\tilde{q}_{1}$	0.8602	1.0422	0.8254	[M:[0.7683], q:[0.6158, 0.6158, 0.732], qb:[0.732, 0.5801, 0.5801], phi:[0.536]]	[M:[[0, -3, -3, 1, 1]], q:[[-1, 3, 3, -1, -1], [1, 0, 0, 0, 0], [0, 1, 0, 0, 0]], qb:[[0, 0, 1, 0, 0], [0, 0, 0, 1, 0], [0, 0, 0, 0, 1]], phi:[[0, -1, -1, 0, 0]]]	5

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{1}$, ${ }\phi_{1}^{2}$, ${ }\tilde{q}_{2}\tilde{q}_{3}$, ${ }q_{1}\tilde{q}_{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{3}$, ${ }q_{3}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{3}\tilde{q}_{3}$, ${ }\tilde{q}_{1}\tilde{q}_{3}$, ${ }q_{2}q_{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}q_{3}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{3}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{2}\tilde{q}_{3}$, ${ }\phi_{1}\tilde{q}_{3}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{3}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}\tilde{q}_{2}\tilde{q}_{3}$	${}$	-9	t^2.305 + t^3.216 + t^3.481 + 4*t^3.588 + 4*t^3.936 + 4*t^4.044 + t^4.392 + t^4.61 + 3*t^5.089 + 4*t^5.196 + 3*t^5.303 + t^5.521 + t^5.786 - 9*t^6. - 4*t^6.107 + 4*t^6.241 + t^6.432 - 4*t^6.456 + 2*t^6.697 + 4*t^6.804 + t^6.915 + t^6.962 + 4*t^7.069 + 9*t^7.176 + 3*t^7.394 + 4*t^7.417 + 16*t^7.524 - 4*t^7.608 + 12*t^7.631 - 4*t^7.715 + t^7.826 + 7*t^7.873 + 12*t^7.98 + 6*t^8.087 + t^8.091 - 3*t^8.305 + 4*t^8.412 + 6*t^8.519 + 4*t^8.546 + 3*t^8.57 + 12*t^8.677 + t^8.737 - 4*t^8.761 + 10*t^8.784 + 8*t^8.891 - t^4.608/y - t^6.913/y + t^7.392/y - t^7.824/y + t^8.303/y + t^8.521/y + t^8.786/y + (4*t^8.893)/y - t^4.608*y - t^6.913*y + t^7.392*y - t^7.824*y + t^8.303*y + t^8.521*y + t^8.786*y + 4*t^8.893*y	(g4*g5*t^2.305)/(g2^3*g3^3) + t^3.216/(g2^2*g3^2) + g4*g5*t^3.481 + (g2^3*g3^3*t^3.588)/(g1*g4) + g1*g4*t^3.588 + (g2^3*g3^3*t^3.588)/(g1*g5) + g1*g5*t^3.588 + g2*g4*t^3.936 + g3*g4*t^3.936 + g2*g5*t^3.936 + g3*g5*t^3.936 + g1*g2*t^4.044 + g1*g3*t^4.044 + (g2^4*g3^3*t^4.044)/(g1*g4*g5) + (g2^3*g3^4*t^4.044)/(g1*g4*g5) + g2*g3*t^4.392 + (g4^2*g5^2*t^4.61)/(g2^6*g3^6) + (g4^2*t^5.089)/(g2*g3) + (g4*g5*t^5.089)/(g2*g3) + (g5^2*t^5.089)/(g2*g3) + (g2^2*g3^2*t^5.196)/(g1*g4) + (g1*g4*t^5.196)/(g2*g3) + (g2^2*g3^2*t^5.196)/(g1*g5) + (g1*g5*t^5.196)/(g2*g3) + (g1^2*t^5.303)/(g2*g3) + (g2^5*g3^5*t^5.303)/(g1^2*g4^2*g5^2) + (g2^2*g3^2*t^5.303)/(g4*g5) + (g4*g5*t^5.521)/(g2^5*g3^5) + (g4^2*g5^2*t^5.786)/(g2^3*g3^3) - 5*t^6. - (g2^3*g3^3*t^6.)/(g1^2*g4*g5) - (g4*t^6.)/g5 - (g5*t^6.)/g4 - (g1^2*g4*g5*t^6.)/(g2^3*g3^3) - (g1*t^6.107)/g4 - (g2^3*g3^3*t^6.107)/(g1*g4*g5^2) - (g1*t^6.107)/g5 - (g2^3*g3^3*t^6.107)/(g1*g4^2*g5) + (g4^2*g5*t^6.241)/(g2^2*g3^3) + (g4^2*g5*t^6.241)/(g2^3*g3^2) + (g4*g5^2*t^6.241)/(g2^2*g3^3) + (g4*g5^2*t^6.241)/(g2^3*g3^2) + t^6.432/(g2^4*g3^4) - (g2*t^6.456)/g4 - (g3*t^6.456)/g4 - (g2*t^6.456)/g5 - (g3*t^6.456)/g5 + (2*g4*g5*t^6.697)/(g2^2*g3^2) + (g2*g3*t^6.804)/(g1*g4) + (g1*g4*t^6.804)/(g2^2*g3^2) + (g2*g3*t^6.804)/(g1*g5) + (g1*g5*t^6.804)/(g2^2*g3^2) + (g4^3*g5^3*t^6.915)/(g2^9*g3^9) + g4^2*g5^2*t^6.962 + (g2^3*g3^3*g4*t^7.069)/g1 + (g2^3*g3^3*g5*t^7.069)/g1 + g1*g4^2*g5*t^7.069 + g1*g4*g5^2*t^7.069 + g2^3*g3^3*t^7.176 + (g2^6*g3^6*t^7.176)/(g1^2*g4^2) + g1^2*g4^2*t^7.176 + (g2^6*g3^6*t^7.176)/(g1^2*g5^2) + (g2^6*g3^6*t^7.176)/(g1^2*g4*g5) + (g2^3*g3^3*g4*t^7.176)/g5 + (g2^3*g3^3*g5*t^7.176)/g4 + g1^2*g4*g5*t^7.176 + g1^2*g5^2*t^7.176 + (g4^3*g5*t^7.394)/(g2^4*g3^4) + (g4^2*g5^2*t^7.394)/(g2^4*g3^4) + (g4*g5^3*t^7.394)/(g2^4*g3^4) + g2*g4^2*g5*t^7.417 + g3*g4^2*g5*t^7.417 + g2*g4*g5^2*t^7.417 + g3*g4*g5^2*t^7.417 + (2*g2^4*g3^3*t^7.524)/g1 + (2*g2^3*g3^4*t^7.524)/g1 + g1*g2*g4^2*t^7.524 + g1*g3*g4^2*t^7.524 + (g2^4*g3^3*g4*t^7.524)/(g1*g5) + (g2^3*g3^4*g4*t^7.524)/(g1*g5) + (g2^4*g3^3*g5*t^7.524)/(g1*g4) + (g2^3*g3^4*g5*t^7.524)/(g1*g4) + 2*g1*g2*g4*g5*t^7.524 + 2*g1*g3*g4*g5*t^7.524 + g1*g2*g5^2*t^7.524 + g1*g3*g5^2*t^7.524 - (2*t^7.608)/(g2*g3) - (g4*t^7.608)/(g2*g3*g5) - (g5*t^7.608)/(g2*g3*g4) + (g2^4*g3^3*t^7.631)/g4 + (g2^3*g3^4*t^7.631)/g4 + g1^2*g2*g4*t^7.631 + g1^2*g3*g4*t^7.631 + (g2^7*g3^6*t^7.631)/(g1^2*g4*g5^2) + (g2^6*g3^7*t^7.631)/(g1^2*g4*g5^2) + (g2^4*g3^3*t^7.631)/g5 + (g2^3*g3^4*t^7.631)/g5 + (g2^7*g3^6*t^7.631)/(g1^2*g4^2*g5) + (g2^6*g3^7*t^7.631)/(g1^2*g4^2*g5) + g1^2*g2*g5*t^7.631 + g1^2*g3*g5*t^7.631 - (g1*t^7.715)/(g2*g3*g4) - (g2^2*g3^2*t^7.715)/(g1*g4*g5^2) - (g1*t^7.715)/(g2*g3*g5) - (g2^2*g3^2*t^7.715)/(g1*g4^2*g5) + (g4^2*g5^2*t^7.826)/(g2^8*g3^8) + g2^2*g4^2*t^7.873 + g3^2*g4^2*t^7.873 + g2^2*g4*g5*t^7.873 + g2*g3*g4*g5*t^7.873 + g3^2*g4*g5*t^7.873 + g2^2*g5^2*t^7.873 + g3^2*g5^2*t^7.873 + (g2^5*g3^3*t^7.98)/(g1*g4) + (g2^4*g3^4*t^7.98)/(g1*g4) + (g2^3*g3^5*t^7.98)/(g1*g4) + g1*g2^2*g4*t^7.98 + g1*g2*g3*g4*t^7.98 + g1*g3^2*g4*t^7.98 + (g2^5*g3^3*t^7.98)/(g1*g5) + (g2^4*g3^4*t^7.98)/(g1*g5) + (g2^3*g3^5*t^7.98)/(g1*g5) + g1*g2^2*g5*t^7.98 + g1*g2*g3*g5*t^7.98 + g1*g3^2*g5*t^7.98 + g1^2*g2^2*t^8.087 + g1^2*g3^2*t^8.087 + (g2^8*g3^6*t^8.087)/(g1^2*g4^2*g5^2) + (g2^6*g3^8*t^8.087)/(g1^2*g4^2*g5^2) + (g2^5*g3^3*t^8.087)/(g4*g5) + (g2^3*g3^5*t^8.087)/(g4*g5) + (g4^3*g5^3*t^8.091)/(g2^6*g3^6) - (3*g4*g5*t^8.305)/(g2^3*g3^3) + t^8.412/(g1*g4) + (g1*g4*t^8.412)/(g2^3*g3^3) + t^8.412/(g1*g5) + (g1*g5*t^8.412)/(g2^3*g3^3) + (g1^2*t^8.519)/(g2^3*g3^3) + t^8.519/g4^2 + t^8.519/g5^2 + (g2^3*g3^3*t^8.519)/(g1^2*g4^2*g5^2) + (2*t^8.519)/(g4*g5) + (g4^3*g5^2*t^8.546)/(g2^5*g3^6) + (g4^3*g5^2*t^8.546)/(g2^6*g3^5) + (g4^2*g5^3*t^8.546)/(g2^5*g3^6) + (g4^2*g5^3*t^8.546)/(g2^6*g3^5) + (g4^3*g5*t^8.57)/(g2*g3) + (g4^2*g5^2*t^8.57)/(g2*g3) + (g4*g5^3*t^8.57)/(g2*g3) + (2*g2^2*g3^2*g4*t^8.677)/g1 + (g1*g4^3*t^8.677)/(g2*g3) + (g2^2*g3^2*g4^2*t^8.677)/(g1*g5) + (2*g2^2*g3^2*g5*t^8.677)/g1 + (2*g1*g4^2*g5*t^8.677)/(g2*g3) + (g2^2*g3^2*g5^2*t^8.677)/(g1*g4) + (2*g1*g4*g5^2*t^8.677)/(g2*g3) + (g1*g5^3*t^8.677)/(g2*g3) + (g4*g5*t^8.737)/(g2^7*g3^7) - (g4*t^8.761)/(g2^2*g3^3) - (g4*t^8.761)/(g2^3*g3^2) - (g5*t^8.761)/(g2^2*g3^3) - (g5*t^8.761)/(g2^3*g3^2) - g2^3*g3*t^8.784 + 2*g2^2*g3^2*t^8.784 - g2*g3^3*t^8.784 + (g2^5*g3^5*t^8.784)/(g1^2*g4^2) + (g1^2*g4^2*t^8.784)/(g2*g3) + (g2^5*g3^5*t^8.784)/(g1^2*g5^2) + (2*g2^5*g3^5*t^8.784)/(g1^2*g4*g5) + (g2^2*g3^2*g4*t^8.784)/g5 + (g2^2*g3^2*g5*t^8.784)/g4 + (2*g1^2*g4*g5*t^8.784)/(g2*g3) + (g1^2*g5^2*t^8.784)/(g2*g3) + (g1*g2^2*g3^2*t^8.891)/g4 + (g1^3*g4*t^8.891)/(g2*g3) + (g2^8*g3^8*t^8.891)/(g1^3*g4^2*g5^3) + (g2^8*g3^8*t^8.891)/(g1^3*g4^3*g5^2) + (g2^5*g3^5*t^8.891)/(g1*g4*g5^2) + (g1*g2^2*g3^2*t^8.891)/g5 + (g2^5*g3^5*t^8.891)/(g1*g4^2*g5) + (g1^3*g5*t^8.891)/(g2*g3) - t^4.608/(g2*g3*y) - (g4*g5*t^6.913)/(g2^4*g3^4*y) + (g2*g3*t^7.392)/y - t^7.824/(g2^3*g3^3*y) + (g2^2*g3^2*t^8.303)/(g4*g5*y) + (g4*g5*t^8.521)/(g2^5*g3^5*y) + (g4^2*g5^2*t^8.786)/(g2^3*g3^3*y) + (g4*t^8.893)/(g1*y) + (g5*t^8.893)/(g1*y) + (g1*g4^2*g5*t^8.893)/(g2^3*g3^3*y) + (g1*g4*g5^2*t^8.893)/(g2^3*g3^3*y) - (t^4.608*y)/(g2*g3) - (g4*g5*t^6.913*y)/(g2^4*g3^4) + g2*g3*t^7.392*y - (t^7.824*y)/(g2^3*g3^3) + (g2^2*g3^2*t^8.303*y)/(g4*g5) + (g4*g5*t^8.521*y)/(g2^5*g3^5) + (g4^2*g5^2*t^8.786*y)/(g2^3*g3^3) + (g4*t^8.893*y)/g1 + (g5*t^8.893*y)/g1 + (g1*g4^2*g5*t^8.893*y)/(g2^3*g3^3) + (g1*g4*g5^2*t^8.893*y)/(g2^3*g3^3)

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
55598	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{3}\tilde{q}_{1}$ + ${ }M_{1}\tilde{q}_{2}\tilde{q}_{3}$	0.8592	1.0383	0.8274	[M:[0.8], q:[0.6, 0.6, 0.7333], qb:[0.7333, 0.6, 0.6], phi:[0.5333]]	t^2.4 + t^3.2 + 5*t^3.6 + 8*t^4. + t^4.4 + t^4.8 + 10*t^5.2 + t^5.6 - 12*t^6. - t^4.6/y - t^4.6*y	detail	{a: 1031/1200, c: 623/600, M1: 4/5, q1: 3/5, q2: 3/5, q3: 11/15, qb1: 11/15, qb2: 3/5, qb3: 3/5, phi1: 8/15}
55679	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{3}\tilde{q}_{1}$ + ${ }M_{2}\tilde{q}_{2}\tilde{q}_{3}$	0.8762	1.0664	0.8217	[M:[0.7818, 0.7818], q:[0.6091, 0.6091, 0.7394], qb:[0.7394, 0.6091, 0.6091], phi:[0.5212]]	2*t^2.345 + t^3.127 + 4*t^3.655 + 8*t^4.045 + t^4.436 + 3*t^4.691 + 10*t^5.218 + 2*t^5.473 - 9*t^6. - t^4.564/y - t^4.564*y	detail
55673	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{3}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{3}$	0.8165	0.99	0.8247	[M:[0.7241], q:[0.7674, 0.5085, 0.7499], qb:[0.7499, 0.491, 0.7324], phi:[0.5003]]	t^2.172 + t^2.998 + t^3.002 + t^3.67 + 3*t^3.723 + 3*t^3.775 + t^4.345 + 3*t^4.447 + 3*t^4.499 + 3*t^4.552 + t^5.171 + t^5.174 + t^5.843 + 3*t^5.895 + t^5.997 - 3*t^6. - t^4.501/y - t^4.501*y	detail
55685	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{3}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}\tilde{q}_{3}$	0.7983	0.9507	0.8397	[M:[0.959], q:[0.5205, 0.5205, 0.7603], qb:[0.7603, 0.7603, 0.7603], phi:[0.4795]]	2*t^2.877 + 8*t^3.842 + 9*t^4.562 + 3*t^5.754 - 10*t^6. - t^4.438/y - t^4.438*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
55431	SU2adj1nf3	${}M_{1}q_{1}q_{2}$	0.8785	1.0704	0.8208	[M:[0.7154], q:[0.6423, 0.6423, 0.6218], qb:[0.6218, 0.6218, 0.6218], phi:[0.557]]	t^2.146 + t^3.342 + 6*t^3.731 + 8*t^3.792 + t^4.293 + 10*t^5.402 + 8*t^5.463 + t^5.489 + 3*t^5.525 + 6*t^5.877 - 20*t^6. - t^4.671/y - t^4.671*y	detail