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
48138	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{6}$	0.6702	0.8472	0.7911	[M:[1.1541, 0.7557, 0.8459, 0.7831, 0.7067, 0.8459], q:[0.3916, 0.4543], qb:[0.8527, 0.7626], phi:[0.3847]]	[M:[[-3, -3], [2, 4], [3, 3], [-6, -8], [-11, -13], [3, 3]], q:[[-3, -4], [6, 7]], qb:[[1, 0], [0, 1]], phi:[[-1, -1]]]

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{5}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{3}$, ${ }M_{6}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}\phi_{1}q_{1}^{2}$, ${ }\phi_{1}^{3}q_{1}^{2}$, ${ }M_{5}\phi_{1}q_{1}q_{2}$, ${ }M_{4}\phi_{1}q_{1}^{2}$	${}\phi_{1}^{3}q_{1}q_{2}$	-2	t^2.12 + t^2.267 + t^2.308 + t^2.349 + 2*t^2.538 + t^3.504 + t^3.692 + t^3.921 + t^4.24 + t^4.387 + t^4.428 + t^4.469 + t^4.534 + t^4.575 + 2*t^4.617 + 3*t^4.658 + t^4.699 + 2*t^4.805 + 3*t^4.846 + 2*t^4.887 + 3*t^5.075 + t^5.624 + t^5.812 + t^5.853 - 2*t^6. + 3*t^6.041 + 2*t^6.229 + t^6.27 + t^6.36 + 2*t^6.459 + t^6.507 + t^6.548 + t^6.59 + t^6.654 + t^6.696 + 2*t^6.737 + 3*t^6.778 + t^6.802 + t^6.819 + t^6.843 + 2*t^6.884 + 3*t^6.925 + 4*t^6.966 + 4*t^7.007 + t^7.048 + 2*t^7.072 + 2*t^7.113 + 2*t^7.154 + 5*t^7.195 + 2*t^7.236 + t^7.342 + 2*t^7.383 + 3*t^7.425 - t^7.572 + 4*t^7.613 + t^7.744 + t^7.842 + t^7.932 + t^7.973 - t^8.079 - 2*t^8.12 + 3*t^8.161 + t^8.202 - 3*t^8.267 - 3*t^8.308 - t^8.349 + 3*t^8.39 + t^8.48 - 2*t^8.496 - 5*t^8.538 + 4*t^8.579 + t^8.62 + t^8.627 + t^8.669 + t^8.71 - t^8.726 + 3*t^8.767 + t^8.775 + 2*t^8.808 + t^8.816 + 2*t^8.857 + 3*t^8.898 + t^8.922 + t^8.939 + t^8.963 + 3*t^8.996 - t^4.154/y - t^6.274/y - t^6.421/y - t^6.462/y - t^6.504/y - t^6.692/y + t^7.387/y + t^7.428/y + t^7.469/y + t^7.575/y + (2*t^7.617)/y + (3*t^7.658)/y + (3*t^7.805)/y + (3*t^7.846)/y + (3*t^7.887)/y + t^8.034/y + t^8.075/y - t^8.394/y - t^8.541/y - t^8.583/y - t^8.689/y - t^8.73/y - t^8.771/y - t^4.154*y - t^6.274*y - t^6.421*y - t^6.462*y - t^6.504*y - t^6.692*y + t^7.387*y + t^7.428*y + t^7.469*y + t^7.575*y + 2*t^7.617*y + 3*t^7.658*y + 3*t^7.805*y + 3*t^7.846*y + 3*t^7.887*y + t^8.034*y + t^8.075*y - t^8.394*y - t^8.541*y - t^8.583*y - t^8.689*y - t^8.73*y - t^8.771*y	t^2.12/(g1^11*g2^13) + g1^2*g2^4*t^2.267 + t^2.308/(g1^2*g2^2) + t^2.349/(g1^6*g2^8) + 2*g1^3*g2^3*t^2.538 + t^3.504/(g1^7*g2^9) + g1^2*g2^2*t^3.692 + g1^7*g2^7*t^3.921 + t^4.24/(g1^22*g2^26) + t^4.387/(g1^9*g2^9) + t^4.428/(g1^13*g2^15) + t^4.469/(g1^17*g2^21) + g1^4*g2^8*t^4.534 + g2^2*t^4.575 + (2*t^4.617)/(g1^4*g2^4) + (3*t^4.658)/(g1^8*g2^10) + t^4.699/(g1^12*g2^16) + 2*g1^5*g2^7*t^4.805 + 3*g1*g2*t^4.846 + (2*t^4.887)/(g1^3*g2^5) + 3*g1^6*g2^6*t^5.075 + t^5.624/(g1^18*g2^22) + t^5.812/(g1^9*g2^11) + t^5.853/(g1^13*g2^17) - 2*t^6. + (3*t^6.041)/(g1^4*g2^6) + 2*g1^5*g2^5*t^6.229 + (g1*t^6.27)/g2 + t^6.36/(g1^33*g2^39) + 2*g1^10*g2^10*t^6.459 + t^6.507/(g1^20*g2^22) + t^6.548/(g1^24*g2^28) + t^6.59/(g1^28*g2^34) + t^6.654/(g1^7*g2^5) + t^6.696/(g1^11*g2^11) + (2*t^6.737)/(g1^15*g2^17) + (3*t^6.778)/(g1^19*g2^23) + g1^6*g2^12*t^6.802 + t^6.819/(g1^23*g2^29) + g1^2*g2^6*t^6.843 + (2*t^6.884)/g1^2 + (3*t^6.925)/(g1^6*g2^6) + (4*t^6.966)/(g1^10*g2^12) + (4*t^7.007)/(g1^14*g2^18) + t^7.048/(g1^18*g2^24) + 2*g1^7*g2^11*t^7.072 + 2*g1^3*g2^5*t^7.113 + (2*t^7.154)/(g1*g2) + (5*t^7.195)/(g1^5*g2^7) + (2*t^7.236)/(g1^9*g2^13) + g1^8*g2^10*t^7.342 + 2*g1^4*g2^4*t^7.383 + (3*t^7.425)/g2^2 - g1^13*g2^15*t^7.572 + 4*g1^9*g2^9*t^7.613 + t^7.744/(g1^29*g2^35) + g1^14*g2^14*t^7.842 + t^7.932/(g1^20*g2^24) + t^7.973/(g1^24*g2^30) - t^8.079/(g1^7*g2^7) - (2*t^8.12)/(g1^11*g2^13) + (3*t^8.161)/(g1^15*g2^19) + t^8.202/(g1^19*g2^25) - 3*g1^2*g2^4*t^8.267 - (3*t^8.308)/(g1^2*g2^2) - t^8.349/(g1^6*g2^8) + (3*t^8.39)/(g1^10*g2^14) + t^8.48/(g1^44*g2^52) - 2*g1^7*g2^9*t^8.496 - 5*g1^3*g2^3*t^8.538 + (4*t^8.579)/(g1*g2^3) + t^8.62/(g1^5*g2^9) + t^8.627/(g1^31*g2^35) + t^8.669/(g1^35*g2^41) + t^8.71/(g1^39*g2^47) - g1^12*g2^14*t^8.726 + 3*g1^8*g2^8*t^8.767 + t^8.775/(g1^18*g2^18) + 2*g1^4*g2^2*t^8.808 + t^8.816/(g1^22*g2^24) + (2*t^8.857)/(g1^26*g2^30) + (3*t^8.898)/(g1^30*g2^36) + t^8.922/(g1^5*g2) + t^8.939/(g1^34*g2^42) + t^8.963/(g1^9*g2^7) + 3*g1^13*g2^13*t^8.996 - t^4.154/(g1*g2*y) - t^6.274/(g1^12*g2^14*y) - (g1*g2^3*t^6.421)/y - t^6.462/(g1^3*g2^3*y) - t^6.504/(g1^7*g2^9*y) - (g1^2*g2^2*t^6.692)/y + t^7.387/(g1^9*g2^9*y) + t^7.428/(g1^13*g2^15*y) + t^7.469/(g1^17*g2^21*y) + (g2^2*t^7.575)/y + (2*t^7.617)/(g1^4*g2^4*y) + (3*t^7.658)/(g1^8*g2^10*y) + (3*g1^5*g2^7*t^7.805)/y + (3*g1*g2*t^7.846)/y + (3*t^7.887)/(g1^3*g2^5*y) + (g1^10*g2^12*t^8.034)/y + (g1^6*g2^6*t^8.075)/y - t^8.394/(g1^23*g2^27*y) - t^8.541/(g1^10*g2^10*y) - t^8.583/(g1^14*g2^16*y) - (g1^3*g2^7*t^8.689)/y - (g2*t^8.73)/(g1*y) - t^8.771/(g1^5*g2^5*y) - (t^4.154*y)/(g1*g2) - (t^6.274*y)/(g1^12*g2^14) - g1*g2^3*t^6.421*y - (t^6.462*y)/(g1^3*g2^3) - (t^6.504*y)/(g1^7*g2^9) - g1^2*g2^2*t^6.692*y + (t^7.387*y)/(g1^9*g2^9) + (t^7.428*y)/(g1^13*g2^15) + (t^7.469*y)/(g1^17*g2^21) + g2^2*t^7.575*y + (2*t^7.617*y)/(g1^4*g2^4) + (3*t^7.658*y)/(g1^8*g2^10) + 3*g1^5*g2^7*t^7.805*y + 3*g1*g2*t^7.846*y + (3*t^7.887*y)/(g1^3*g2^5) + g1^10*g2^12*t^8.034*y + g1^6*g2^6*t^8.075*y - (t^8.394*y)/(g1^23*g2^27) - (t^8.541*y)/(g1^10*g2^10) - (t^8.583*y)/(g1^14*g2^16) - g1^3*g2^7*t^8.689*y - (g2*t^8.73*y)/g1 - (t^8.771*y)/(g1^5*g2^5)

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
55605	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{5}^{2}$	0.618	0.7842	0.7881	[M:[1.2441, 0.7324, 0.7559, 0.9264, 1.0, 0.7559], q:[0.4632, 0.2926], qb:[0.8044, 0.7809], phi:[0.4147]]	t^2.197 + 2*t^2.268 + t^2.488 + t^2.779 + t^3. + t^3.291 + t^3.512 + t^4.023 + t^4.395 + 2*t^4.465 + 3*t^4.535 + t^4.686 + 3*t^4.756 + 2*t^4.977 + 2*t^5.047 + t^5.197 + 3*t^5.268 + t^5.488 + 3*t^5.559 + 3*t^5.779 - t^6. - t^4.244/y - t^4.244*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
46786	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$	0.6572	0.8255	0.7962	[M:[1.1417, 0.7369, 0.8583, 0.7854, 0.6882], q:[0.3927, 0.4656], qb:[0.8704, 0.749], phi:[0.3806]]	t^2.065 + t^2.211 + t^2.283 + t^2.356 + t^2.575 + t^3.425 + t^3.498 + t^3.717 + t^4.008 + t^4.129 + t^4.275 + t^4.348 + 2*t^4.421 + t^4.494 + 2*t^4.567 + 2*t^4.64 + t^4.712 + t^4.786 + 2*t^4.858 + t^4.931 + t^5.15 + t^5.49 + t^5.562 + t^5.636 + t^5.708 + 2*t^5.781 + t^5.854 - t^6. - t^4.142/y - t^4.142*y	detail